Edgar's test scores are 81, 93, 74
and 95. What score must she get
on the fifth test in order to score
an average of 85 on all five tests?

Answers

Answer 1

Edgar must score 82 in order to have an average of 85 on all five tests.

We know that the formula to calculate the average:

Average = (Sum of Observations) ÷ (Total Numbers of Observations)

Here, the total number of observations = 5

Average = 85

Sum of observations = 81+93+74+95+x = 343+x

Given that we have to calculate the average value of 85, we can substitute the score that must be obtained for the fifth test to be 'x'.

So, that would make the above equation as,

85=(343+x) ÷ (5)

425 = 343+x

x = 82

Thus, Edgar must score 82 to have an average of 85.

To learn more about Average:

https://brainly.com/question/130657


Related Questions

Given the right triangle below, for the Pythagorean theorem, in which a 2 + b 2 = c 2, which side would represent the side "c." Hint: look at this triangle and the names of the angles.

Answers

Answer:

line segment AC (hypotenuse)

Step-by-step explanation:

The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.

Right triangle J K L is shown. Line L J has a positive slope. A dotted and horizontal line is drawn to point J to form an angle of 53 degrees.
What is the measure of the angle of elevation from point L to point J?

37°
45°
53°
137°

Answers

Considering the sum of the internal angles of the triangle, the angle of elevation from point L to point J is of 37º.

What is the sum of the internal angles of a triangle?

The sum of the internal angles of a triangle is of 180º.

In this problem, the angles are:

90º, 53º, x

Hence:

90 + 53 + x = 180

x = 180 - 143

x = 37º

The angle of elevation from point L to point J is of 37º.

More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131

#SPJ1

Answer:

53*

Step-by-step explanation:

took on edge

Please help quickly I need the answer now please you’ll be brainleist

Answers

Answer:

B

Step-by-step explanation:

See the attached image.

( will give brainlyest)
A firework is launched from the ground at a speed of 160 feet per second. It’s height after t seconds is given by the polynomial -16t+160t. What is the height of the firework after 4 seconds?

Answers

Answer: 384 feet

Step-by-step explanation:

     We will simplify and solve -16t² + 160t when t is equal to 4.

-16t² + 160t

-16(4)² + 160(4)

384 feet

Answer:

Step-by-step explanation:

**Note: The polynomial in question is -16t² + 160t, as clarified in the discussion under the question.**

Since there is a polynomial to find the height given a certain time, the height is a function of time.

This function would be h(t) = -16t² + 160t, so plugging in 4 for t would give the height.

[tex]h(4) = -16(4)^2+160(4)[/tex]

[tex]-16(16)+160(4)[/tex] [Squaring 4]

[tex]-256 + 640[/tex] [Multiplying]

[tex]384[/tex] [Combining both terms]

Hence, the height of the firework after 4 seconds is 384 feet.

Find the value of x.
10
Q
12
x = [?]

Answers

Answer:

10

Step-by-step explanation:

It's just symmetry. You see that the geometrical construction above has been rotated, so its properties will remain the same.

How many of the list 729 positive integers are perfect squares, cubes ,or both?

Answers

Answer:

there will be 17 integers!

List :

1

4

9

16

25

36

49

64

81

100

121

144

169

196

225

256

289

They're all squares, like for example, 1^2, 2^2, 3^2, etc

Answer:

cheapt

Step-by-step explanation:

You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression that is your birth month (October), in degrees. (October = 10 degrees). Pond B, which is behind the balloon, is at angle of depression that is your Birth Day in degrees. (October 8 = 8 degrees). The balloon is 875 m in the air.

a. Draw and label a diagram
b. Find the distance from the hot air balloon to both Pond A and B
c. FInd the distance between the two ponds.

Answers

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

What is the Sine and Tangent Ratios?

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

https://brainly.com/question/24137232

#SPJ1

Calculate the total amount in an investment account if $2800 was invested at a simple interest rate of
5.5% for 18 months.
a. $3034.15
b. $3031.00
Trinh invected $2400.st.0866
c. $7340.11
d.
$5544.00

Answers

The total amount in the investment account is $3031.00

How to determine the total amount?

The given parameters are

Principal, P = $2800

Rate, r = 5.5%

Time = 18 months i.e. 1.5 years

The amount is then calculated as:

A = P + PRT

This gives

A = 2800 + 2800 * 5.5% * 1.5

Evaluate

A = 3031

Hence, the total amount in the investment account is $3031.00

Read more about simple interest at:

https://brainly.com/question/25845758

#SPJ1

Use the given transformation to evaluate the integral. double integral 9xy dA R , where R is the region in the first quadrant bounded by the lines y = 2 3 x and y = 3x and the hyperbolas xy = 2 3 and xy = 3; x = u/v, y = v

Answers

It looks like the boundaries of [tex]R[/tex] are the lines [tex]y=\dfrac23x [/tex] and [tex]y=3x[/tex], as well as the hyperbolas [tex]xy=\frac23[/tex] and [tex]xy=3[/tex]. Naturally, the domain of integration is the set

[tex]R = \left\{(x,y) ~:~ \dfrac{2x}3 \le y \le 3x \text{ and } \dfrac23 \le xy \le 3 \right\}[/tex]

By substituting [tex]x=\frac uv[/tex] and [tex]y=v[/tex], so [tex]xy=u[/tex], we have

[tex]\dfrac23 \le xy \le 3 \implies \dfrac23 \le u \le 3[/tex]

and

[tex]\dfrac{2x}3 \le y \le 3x \implies \dfrac{2u}{3v} \le v \le \dfrac{3u}v \implies \dfrac{2u}3 \le v^2 \le 3u \implies \sqrt{\dfrac{2u}3} \le v \le \sqrt{3u}[/tex]

so that

[tex]R = \left\{(u,v) ~:~ \dfrac23 \le u \le 3 \text{ and } \sqrt{\dfrac{2u}3 \le v \le \sqrt{3u}\right\}[/tex]

Compute the Jacobian for this transformation and its determinant.

[tex]J = \begin{bmatrix}x_u & x_v \\ y_u & y_v\end{bmatrix} = \begin{bmatrix}\dfrac1v & -\dfrac u{v^2} \\\\ 0 & 1 \end{bmatrix} \implies \det(J) = \dfrac1v[/tex]

Then the area element under this change of variables is

[tex]dA = dx\,dy = \dfrac{du\,dv}v[/tex]

and the integral transforms to

[tex]\displaystyle \iint_R 9xy \, dA = \int_{2/3}^3 \int_{\sqrt{2u/3}}^{\sqrt{3u}} \frac{dv\,du}v[/tex]

Now compute it.

[tex]\displaystyle \iint_R 9xy \, dA = \int_{2/3}^3 \ln|v|\bigg|_{v=\sqrt{2u/3}}^{v=\sqrt{3u}} \,du \\\\ ~~~~~~~~ = \int_{2/3}^3 \ln\left(\sqrt{3u}\right) - \ln\left(\sqrt{\frac{2u}3}\right) \, du \\\\ ~~~~~~~~ = \frac12 \int_{2/3}^3 \ln(3u) - \ln\left(\frac{2u}3\right) \, du \\\\ ~~~~~~~~ = \frac12 \int_{2/3}^3 \ln\left(\frac{3u}{\frac{2u}3}\right) \, du \\\\ ~~~~~~~~ = \frac12 \ln\left(\frac92\right) \int_{2/3}^3 du \\\\ ~~~~~~~~ = \frac12 \ln\left(\frac92\right) \left(3-\frac23\right) = \boxed{\frac76 \ln\left(\frac92\right)}[/tex]

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

Each Person:

-In tips: $2

-Food Bill: $7.50

Step-by-step explanation:

Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.

Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.

Divide 60 by 8 to get.. 60/8= 7.5.

With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.

I see you need to select solutions, may I see them to help you out? The description is pretty vague..

Parabola a can be represented using the equation (x 3)2 = y, while line b can be represented using the equation y = mx 9. isabel claims one solution to the system of two equations must always be the vertex of parabola a. which best describes the reasonableness of her claim?

Answers

Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.  This can be obtained using finding y intercept of both parabolas and vertex of parabola A.

Is her claim correct?  

Parabola A, (x + 3)² = y = x² + 6x + 9

Parabola B, y = mx + 9

For parabola A, when x = 0, y = (0+3)²

x=0, y = 9

y coordinate of parabola A is (0,9)

⇒The vertex coordinate,

(-b/2a , -(b²-4ac)/4a) = (-3,0)          

For parabola B, when x = 0, y = 0 + 9

x=0, y = 9  

y coordinate of parabola B is (0,9)    

Isabel claims one solution to the system of two equations must always be the vertex of parabola A which is wrong.  

Hence Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.

Learn more about coordinate system here:

brainly.com/question/14180189  

#SPJ4  

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Isabel claims one solution to the system of two equations must always be the vertex of parabola A. Which best describes the reasonableness of her claim?

If a polynomial f(x) is divided by (x+a) and leaves the reminder is a and b are constants then

Answers

f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.

What is the required remainder?

Given that f(x) is divided by (x+a) and leaves a reminder

Using the remainder theorem for polynomials we get,

f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.

Put x = -a, then

f(-a) = (-a+a)·g(-a) + r

f(-a) = (0)·g(x) + r

f(-a) = r

f(-a) is the remainder.

Hence f(-a) is the remainder when f(x) is divided by (x+a).

Learn more about remainder theorem here:

brainly.com/question/1550437

#SPJ4

What is the missing reason in the proof?

Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD

A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle.



definition of angle bisector
segment addition property
definition of congruent angles
transitive property
Mark this and return

Answers

We can identify that the missing reason in the proof is: Definition of Congruent angles.

How to give proof of a congruent triangle?

We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.

We also see that ∠ADB is also a right angle and is equal to 90°.

Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:

∠ABC ≅ ∠ABD

Thus, we can identify that the missing reason is: Definition of Congruent angles.

Read more about Triangle proof at; https://brainly.com/question/1248322

#SPJ1

22 A circle passes through the points
P(3, 0) and Q(0, 5). Its centre lies on
the line y = x + 2.
(i) Find the equation of the perpendicular bisector of PQ.
(ii) Hence show that the coordinates of the centre of the circle are (-1, 1).
(iii) Find the equation of the circle.

A second circle with equation
2x² + y² + ax + by - 14 = 0 has the
same centre as the first circle.
(iv) Write down the value of a and of b.
(v) Show that the second circle lies
inside the first circle.

Answers

The equation of the first circle is (x + 1)^2 + (y - 1)^2 = r^2 and the equation of the second circle is (x + 1)² + (y - 1)² = 16

The equation of the perpendicular bisector

The points are given as:

P(3, 0) and Q(0, 5)

The midpoint of PQ is

Midpoint = 0.5(3 + 0, 0 + 5)

Midpoint = (1.5, 2.5)

Calculate the slope of PQ

m = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(0 - 3)

m = -5/3

A line perpendicular to PQ would have a slope (n) of

n = -1/m

This gives

n = -1/(-5/3)

n = 0.6

The equation is then calculated as:

y = n(x - x1) + y1

Where

(x1, y1) = (1.5, 2.5)

So, we have:

y = 0.6(x - 1.5) + 2.5

y = 0.6x - 0.9 + 2.5

Evaluate the sum

y = 0.6x + 1.6

Hence, the equation of the perpendicular bisector of PQ is y = 0.6x + 1.6

The center of the circle

We have:

y = x + 2

Substitute y = x + 2 in y = 0.6x + 1.6

x + 2 = 0.6x + 1.6

Evaluate the like terms

0.4x = -0.4

Divide

x = -1

Substitute x = -1 in y = x + 2

y = -1 + 2

y = 1

Hence, the center of the circle is (-1, 1)

The circle equation

We have:

Center, (a, b) = (-1, 1)

Point, (x, y) = (0, 5) and (3, 0)

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius.

Substitute (a, b) = (-1, 1) in (x - a)^2 + (y - b)^2 = r^2

(x + 1)^2 + (y - 1)^2 = r^2

Substitute (x, y) = (0, 5) in (x + 1)^2 + (y - 1)^2 = r^2

(0 + 1)^2 + (5 - 1)^2 = r^2

This gives

r^2 = 17

Substitute r^2 = 17 in (x + 1)^2 + (y - 1)^2 = r^2

(x + 1)^2 + (y - 1)^2 = r^2

Hence, the circle equation is (x + 1)^2 + (y - 1)^2 = r^2

The value of a and b

The equation of the second circle is

2x² + y² + ax + by - 14 = 0

Rewrite as:

2x² + ax + y² + by = 14

For x and y, we use the following assumptions

2x² + ax = 0    and  y² + by = 0

Divide through by 2

x² + 0.5ax = 0    and  y² + by = 0

Take the coefficients of x and y

k = 0.5a                   k = b

Divide by 2

k/2 = 0.25a           k/2 = 0.5b

Square both sides

(k/2)² = 0.0625a²           (k/2)² = 0.25b²

Add the above to both sides of the equations

x² + 0.5ax +0.0625a² = 0.0625a²    and  y² + by + 0.25b² = 0.25b²

Express as perfect squares

(x + 0.25a)² = 0.0625a² and (y + 0.5b)² = 0.25b²

Add both equations

(x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²

So, we have:

2x² + ax + y² + by = 14 becomes

(x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²+ 14

Comparing the above equation and (x + 1)^2 + (y - 1)^2 = r^2, we have:

0.25a = 1 and 0.5b = -1

Solve for a

a = 4 and b = -2

This means that the value of a is 4 and b is -2

Show that the second circle is in the first

We have:

a = 4 and b = -2

Substitute these values in (x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²+ 14

This gives

(x + 0.25*4)² + (y - 0.5*2)² = 0.0625*4² + 0.25*(-2)²+ 14

(x + 1)² + (y - 1)² = 16

The equation of the first circle is

(x + 1)² + (y - 1)² = 17

The radii of the first and the second circles are

R = √17

r = √16

√17 is greater than √16

Since they have the same center, and the radius of the first circle exceeds the radius of the second circle, then the second circle lies inside the first circle.

Read more about circle equation at:

https://brainly.com/question/10618691

#SPJ1

PLEASE HELP BRAINLIST ANSWER PLEASE

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y = -3x + 4

How many miles is it across the united states from the east coast to the west coast.

Answers

The thousand of miles across the United states from the east coast to the west coast.

In order to find the number of miles across the United states from the east coast to the west coast.

Hence, the thousand of miles across the United states from the east coast to the west coast.

Learn more about miles here

https://brainly.com/question/766716

#SPJ4

There are 6 fifth grade classrooms that share 7 packs of paper. How much paper should each classroom get?

Answers

Answer:1.166 reams of paper.

Step-by-step explanation:

Just use simple division and divide 7/6.

Each classroom will get  [tex]\dfrac{7}{6}[/tex]  paper when there are 6 fifth grade classrooms that share 7 packs of paper.

A fraction is defined as a part of a whole. The upper part of the fraction is called the numerator, and the lower part is called the denominator.

Given that:

Number of fifth grade classrooms = 6

Number of packs of paper = 7

The number of paper each classroom get in fractions can be obtained by dividing the number of packs of paper by the number of fifth grade classrooms.

Each classroom get = [tex]\dfrac{Number \ of \ packs \ of \ paper}{ \ Number \ of \ fifth \ grade \ classrooms}[/tex]

Each classroom get = [tex]\dfrac{7}{6}[/tex]

Each classroom will get  [tex]\dfrac{7}{6}[/tex]  paper.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ3

The line plot (shown in the attached image) shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.

Please help!!

Answers

a. The mean, median and mode for this plot are 70.8, 70 and 60 respectively.

b. Mean best represents the data for this plot.

c. When there are outliers, the mean might be a deceptive center tendency measure.

Mean, Median, and Mode

Mean = Sum of prices / Total number of sunglasses

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to (n/2 + 1) when n is an odd number.

Here, the number of sunglasses is represented by n.

⇒ (25/2 + 1)th term is the median

Median = 13th term

Median = 70

Mode is the most frequent data from the plot.

⇒ Mode = 70

Mean Being the Best Central Measure

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

Misleading Measure

When there are outliers, the data mean is significantly impacted. As a result, it may be inaccurate when examining the data's average price.

Learn more about mean here:

brainly.com/question/13451489

#SPJ1

lines L, R, and S are coplanar. Suppose L is perpendicular to R and R is perpendicular to S. Is L perpendicular to S? Explain.

Answers

Answer:

No, L and S are parallel.

Step-by-step explanation:

Perpendicular lines go directly opposite from each other, making a + looking arrangement. While parallel lines go in the exact same direction, making a = looking arrangement. The only way both S and L can both be perpendicular to R is if they are both parallel to each other. An illustration by yours truly is placed below to represent it visually.

                    L                                              |

_______________________________|_____

                                                                    |

                                                                    |

                                                                    |   R

                                                                    |

_______________________________|_____

                     S                                             |  

                                                                    |

Now, if this were on the outside of a sphere, then it would be totally possible to have three lines all be parallel, because they can curve with the sides of the sphere and create a triangle with all right angles.

Which expression is equivalent to (m-4/m+4)/(m+2)?

A) m-4/(m+4)(m+2)
B) (m+4)(m+2)/m-4
C) (m-4)(m+2)/m+4
D) m+4/(m-4)(m+2)

Answers

Hello,

[tex] \frac{ \frac{m - 4}{m + 4} }{m + 2} = \frac{ \frac{m - 4}{m + 4} }{ \frac{m + 2}{1} } = \frac{m - 4}{m + 4} \times \frac{1}{m + 2} = \frac{m - 4}{(m + 4)(m + 2)} [/tex]

Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curve on the given interval y=2cos 3x on -- An integral that gives the arc length is a d x (Type exact answers.) Enter your answer in each of the answer boxes.

Answers

The arc length of [tex]y=2\cos(3x)[/tex] on the interval [tex][a,b][/tex] is

[tex]\displaystyle \int_a^b \sqrt{1 + (y')^2} \, dx = \int_a^b \sqrt{1 + (-6\sin(3x))^2} \,dx = \boxed{\int_a^b \sqrt{1+36\sin^2(3x)} \, dx}[/tex]

How many two digit numbers have on odd digit and one evan digit?

Answers

Answer: There are only 90 two-digit numbers. It shouldn’t take long to write them out and count them

Step-by-step explanation:

Answer:

45 numbers

Step-by-step explanation:

The 10-digit numbers are 10-99. We can manually write them out to start and see if we can find a pattern.

We can start 10-19: The numbers that have one odd digit and one even digit at 10, 12, 14, 16, 18 (since 1 is odd, we can only pick the numbers that have an even unit digit)

Next, we move on to 20-29: The numbers that follow the property are 21, 23, 25, 27, 29

Both of these examples have 5 numbers that follow the property. We can notice that all of the subsequent clusters (30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99) will also have 5 each. The numbers that start with an odd number will have the same unit digits as the 10-19 cluster, and the numbers that start with an even number will have the same unit digits as the 20-29 cluster. Observe:

30-39: 30, 32, 34, 36, 38

40-49: 41, 43, 45, 47, 49

50-59: 50, 52, 54, 56, 58

60-69: 61, 63, 65, 67, 69

70-79: 70, 72, 74, 76, 78

80-89: 81, 83, 85, 87, 89

90-99: 90, 92, 94, 96, 98

In all, there are 9 clusters of numbers, and each one has 5 numbers that follow the property. Therefore, the total is 9*5 or 45 numbers

The cost in collars, CCC, from an airplane flight given that the average cost of a first class seat is fff dollars and the average cost of an economy seat is eee dollars is given by the equation above if all seats are sold. What is the best interpretation of 88e88e88, e as shown in the above equation

Answers

88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.

In the question, we are given an equation, C = 24f + 88e, and are informed that the cost, C, in dollars from an airplane flight given that the average cost of a first class seat is f dollars and the average cost of an economy seat is e dollars is given by the equation above if all seats are sold.

We are asked for the interpretation about the 88e as shown in the equation.

The equation given to us is a cost equation.

A cost equation comprises of two parts:

Per unit priceNumber of units.

In the given equation, we have two types of quantities:

First class seatsEconomy seats

Thus, both these quantities must be having a per unit price, multiplied by the number of units sold.

Now, we are informed that e dollars is the per unit price for an economy class seat.

Thus, 88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.

Learn more about cost equation at

https://brainly.com/question/25109150

#SPJ4

For complete question, refer to the attachment.

The horizontal viewing angle is the angle subtended by a straight line from
each side of the screen to the seating position.
THX
THX Ltd., is a company founded in 1983 by George Lucas that develops
audio/visual reproduction standards for movie theaters. According to THX,
the viewing angle in a theater should be no less than 26 degrees and the best
viewing angle seems to be around 45-50 degrees and towards the center.
Suppose seat G11 has a horizontal viewing angle of 45°. This would be considered the best seat in the theater.
3. What is the measure of the arc the screen subtends?

Answers

The measure of the arc is given as π/2. See the explanation below.

What is an arc?

An "arc" is a curve that connects two points in mathematics.

It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.

What is the calculation for the above solution?

Note that the viewing angle is 45°.

Thus, the center angle is:
45 X 2 = 90°

Measure of the arc therefore is:
= (π/180°) x 90

= π/2

Learn more about arcs at:
https://brainly.com/question/2005046
#SPJ1

Surface area=
Help me please thanks so much :))

Answers

Answer:

324[tex]\pi[/tex] units³

Step-by-step explanation:

Surface Area of Sphere = 4[tex]\pi[/tex]r²; where 'r' is the radius of the sphere.

4[tex]\pi[/tex]r² =

4[tex]\pi[/tex]9² =

4[tex]\pi[/tex]81 =

324[tex]\pi[/tex] units³

Answer:

324[tex]\pi[/tex] unit^2

Step-by-step explanation:

The formula for finding the surface area of a sphere is: [tex]A = 4\pi r^2[/tex]

--> A = Surface area of the sphere

--> r = Radius of the sphere

The image shows that the radius of the sphere is 9.

All we need to do is to replace r with 9.

--> A = 4[tex]\pi[/tex]9^2

--> A = 4[tex]\pi[/tex]81

--> A = 324[tex]\pi[/tex]

So that is your final answer! 324[tex]\pi[/tex] unit^2

--> It is unit^2 since it is an area, not a volume.

+ I'm leaving this as [tex]\pi[/tex], since the question is asking for the exact value, not the ones that are rounded up.

URGENT ASAP Please answer the option b

Answers

The solution to the system of inequalities x < 2y + 3 and -2x < y + 1 is the darker region shown in the graph.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities x < 2y + 3 and -2x < y + 1 is the darker region shown in the graph.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The system of inequalities x > 2 · y + 3 and - 2 · x < y + 1 includes the point (x, y) = (10, 0).

How to change signs of the inequalities to contain a given point.

The solution area of the two inequalities given in the statement does not contain the point (x, y) = (10, 0) as we can see in the first figure.

But if we change the sign "<" for ">" in the first inequality, then the solution area includes the point mentioned above. Please see the second figure for further details.

To learn more on inequalities: https://brainly.com/question/20383699

#SPJ1

What are the coordinates of the midpoint of the segment whose endpoints are C(−7, −10) and D(3, 9) ?


(−2, −0.5)


(−4, −1)


(−5, −9.5)


(−8.5, 3)

Answers

Answer:

(-2, -0.5)

Step-by-step explanation:

1. add the x-coordinates and then either divide by 2 or multiply by 1/2

2. add the y-coordinates and then either divide by 2 or multiply by 1/2

(-7+3)/2 = -2

(-10+9)/2 = -0.5

Have a blessed day!

What is the surface area of the right cone below?


A. 63π units²

B. 54π units ²

C. 99π units²

D. 126π units²

Answers

Answer:

B. 54π units ²

Step-by-step explanation:

solution:

given,

Radius (r) = 3

(l) = 15

we know that,

T.S.A. of cone = πr( r + l )

= π × 3(3 + 15)

= π × 3 × 18

= π × 54

= 54π units ²

what is the probability that random permutation of n numbers gets sorted after 1 pass of bubble sort

Answers

It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

According to the statement

we have to find the probability of random permutation of the N numbers.

So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.

In this we order of select the objects randomly.

So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.

To find the permutations, start with 1,2,3,4,5 and undo a sequence.

For example, if let n=5, there are 24=16 out of 5!

which is 5! =120 that end after one round of bubble sort.

So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

Learn more about probability of a random permutation here https://brainly.com/question/14615273

#SPJ4

Fill in the blank.
_______ are sample values that lie very far away from the majority of the other sample values.

Answers

Outliers are sample values that lie very far away from the majority of the other sample values.

We know that, an outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

It differs significantly from other observations in a sample values.

Outlier is a value that is distant from the majority of the values in a data set.

For a scatter plot, an outlier is the point or points that are farthest from the regression line.

For example in the record of marks 25, 29, 7, 32, 85, 33, 27, 28 both 7 and 85 are outliers.

Therefore, outliers are sample values that lie very far away from the majority of the other sample values.

Learn more about the outliers here:

https://brainly.com/question/26958242

#SPJ4

Other Questions
Can someone fill this out pleaseee for me which of the following steps is not performed when a flow is processed Answer this please ! Think about an academic subject (biology) that inspires you. describe how you have furthered this interest inside and/or outside of the classroom. suppose an individual worker is on the backward bending portion of her labor supply curve. then for a wage increase the I need help please ??!!! Study and explain the graph given below. What are the adverse effects of fossil fuels on the environment? A truckload of lumber that a homeowner purchased has been left in the driveway for use in building a porch. The lumber is considered There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18 odd-numbered outcomes. What's the probability of rolling an odd number Under an individual health insurance policy, the time limit of certain defenses provision states that nonfraudulent misstatements first become incontestable two years 7-2x15 solve for inequality graph the solution shade the possible solutions 1 -12 13 -4 -42 4 The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a v The subclavian artery is renamed the artery after it passes over the lateral border of the first rib. Solve this for me anyone? trying to see what my answer would be How do u solve for X? The dot plots below show the scores for a group of students who took two rounds of a quiz:Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9.Which of the following inferences can be made using the dot plot?A. The range of each round is the same.B. There is no overlap between the data.C. Round 1 scores were higher than round 2 scores.D. Round 2 scores were lower than round 1 scores. Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.What is the value of y?3 StartRoot 3 EndRoot units6 StartRoot 3 EndRoot units9 StartRoot 3 EndRoot units12 StartRoot 3 EndRoot units We know for a fact that the equation:[tex]|z+z'| \leqslant |z|+|z'|[/tex]holds for any 2 complex numbersI came up with the conclusion that:[tex]|z+z'|=|z|+|z'|[/tex]only holds when z and z' are pure imaginary or pure real numbers of the SAME sign.How can i prove this algebraically/geometrically?Note: Irrelevant answers will be reported A nurse is performing glucose checks for a client in the progressive stage of shock. What glucose range would the nurse expect to see for the best outcome with the client