On an exam you get two points for every question answered correctly, zero points for each question left blank and lose one-half point for each question answered incorrectly. what is your total score on the exam if you answered 13 questions correctly, leave 7 questions blank and answer 5 questions incorrectly?

Answers

Answer 1

Using multiplication, the total score on the exam if you answered 13 questions correctly, leave 7 questions blank and answer 5 questions incorrectly is 39 point.

According to the question,

For each correct question, you get 2 points, and there are 22 correct questions, so multiply 22 by 2

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so multiply 7 by 0

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so multiply 5 by -1

5 * (-1) = -5 points.

The total number of score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points.

Hence, using multiplication, the total score on the exam if you answered 13 questions correctly, leave 7 questions blank and answer 5 questions incorrectly is 39 point.

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Related Questions

What is the angle at a

Answers

Answer and Step-by-step explanation:

We are given a triangle, a quadrilateral inside a triangle. and exterior angles of the triangle at linear bisectors.

We can figure out the interior angles of the shape to find a by using the linear bisector theorem, in which a line separated by another line will have two angles that will add to 180 degrees.

For the bisected line with the angle of 60 degrees, the other angle will have to equal 120. We know this by taking 60 from 180.

The perpendicularly bisected line will always have 90 degrees for the angles, so the interior angle will be 90 degrees.

For the bisected line with the angle of 80 degrees, the other angle will have to equal 100. We know this by taking 80 from 180.

Now, we have angles to determine a.

Quadrilaterals consist of 4 interior angles, which, when added together, equals 360 degrees.

360 - 90 - 100 - 120 = a

260 - 90 - 120 = a

140 - 90 = 50 = a

So, angle a is equal to 50 degrees.

#teamtrees #PAW (Plant And Water)

Find the perimeter of a parallelogram with corner points at (2,1), (4,5), (7,5), and (5,1)
Perimeter =
THANK YOU SO MUCHHH

Answers

Answer:

14 units

Step-by-step explanation:

Oops, I was solving for the area in the picture.  You can still use  the picture to find the perimeter.  When I change the shape into a rectangle, you can see that the top and bottom lengths are 3 and the side lengths are 4.  3+3+4+4=14

Instructions: Find the missing side. Round your answer to the nearest tenth.
x=
Check
30
X
17

Answers

Sine rule:

30/sin(17) = x/sin(90)

x sin(90)

30 x sin(90) / sin(17) = x

x = 102.6091086

So, x = 102.6 to the nearest tenth.

Hope this helps!

A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What percentage of examinees will score between 600 and 700

Answers

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

[tex]z={x-\mu \over \sigma }[/tex]

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

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She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ

Answers

Using the Pythagorean theorem, the length of line segment FJ is: 42 ft.

How to Apply the Pythagorean Theorem?

To find the length of line segment FJ, we need to apply the Pythagorean theorem to find the length of the segment from F to the point, say point O, on FJ where a right triangle FOG will be gotten.

Thus, we have:

FO = √(GF² - GO²)

FO = √(30² - 24²)

FO = 18 ft.

FJ = FO + GH

Plug in the values

FJ = 18 + 24

FJ = 42 ft.

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if we multiply or divide both sides of a linear equation with a non zero number, then the solution of the linear equation​

Answers

hi

"does not change "  or "remain the same "

i have no idea whats going on. PLEASE HELPPP

Answers

Answer:

  36 meters

Step-by-step explanation:

You are given an angle and the length of the side adjacent. You want to find the length of the side opposite, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

Setup

The height of Yuri's balcony is the sum of the heights of Kim's balcony and the height of Yuri's balcony above that. Each of those height is the side opposite a given angle in a right triangle. These can be found by solving the tangent relation for the opposite side:

  Tan = Opposite/Adjacent

  (Adjacent)(Tan) = Opposite

  height of Kim's balcony = (30 m)tan(40°)

  height above Kim's balcony = (30 m)tan(20°)

__

  height of Yuri's balcony = height of Kim's + height above Kim's

  height of Yuri's balcony = (30 m)tan(40°) +(30 m)tan(20°)

  height of Yuri's balcony = (30 m)(tan(40°) +tan(20°))

Evaluation

  height of Yuri's balcony ≈ (30 m)(0.8391 +0.3640) ≈ 36.092 m

The height of Yuri's balcony is about 36 meters.

4x−4<8 and 9x+5>23 find x

Answers

Answer:

Step-by-step explanation:

for the first one, it is x=2

for the second one, it is x=9

Identify m∠EFH.

The figure shows triangle G F H. Angle G is equal to 76 degrees. A measure of angle H is given by the formula 3 times x minus 3 degrees. Side G F lies on ray G F with endpoint G. Angle H F E is an exterior angle and its measure is given by the formula 8 times x plus 8 degrees.

Answers

Based on the calculations, the magnitude of m∠EFH is equal to 112°.

How to find the magnitude of m∠EFH?

In Geometry, the sum of two (2) non-adjacent interior angles in a triangle is equal to its exterior angle. Thus, we have:

(3x - 3) + 76 = 8x + 8

3x + 73 = 8x + 8

73 - 8 = 8x - 3x

65 = 5x

x = 65/5

x = 13.

From triangle GFH, we have:

m∠EFH = ∠F = 8x + 8

m∠EFH = 8 (13) + 8

m∠EFH = 104 + 8

m∠EFH = 112°.

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You are deciding a social hall that will seat no more than 1600 people. You want at least 500 seats to be priced at $20 each, and at least 800 seats to be priced at $30 each. Those investing in the social hall would also like to bring in at least $2800 in revenue from the ticket sales. Let X represent the number of $20 seats, and let Y represent the number of $30 seats. Which system of inequalities represents this situation?

x ≥ 0
y ≥ 0
x + y ≥ 1600
20x + 30y ≤ 2800

x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≥ 2800

x ≥ 800
y ≥ 500
x + y ≤ 1600
20x + 30y ≤ 2800

x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≤ 2800

Answers

Answer: Option B

Just trust me that its right.

i believe the correct answer would be B

Which is the completely factored form of 12x4 + 39x3 + 9x2?

3x2(x – 3)(4x – 1)
3x2(x + 3)(4x + 1)
3x(x + 3)(4x + 1)
3x(x – 3)(4x + 1)

Answers

Answer:

The second option, 3x^2(x+3)(4x+1)

Step-by-step explanation:

Factor out the common term, which is 3x^2

This then becomes 3x^2(4x^2+13x+3)

Factor the inside term and it becomes

(3x^2)(x+3)(4x+1)

Volume = length x width x height
1.
? ft
? ft
? ft
If the volume of the cube is 1 ft³,

Answers

The answer is 1 because 1*1*1 = 1 ft3

How does the graph of g(x) = (x − 2)3 + 6 compare to the parent function of f(x) = x3?

Answers

The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

How does the graph of g(x) compare to the one of f(x)?

Here we have:

[tex]f(x) = x^3\\\\g(x) = (x - 2)^3 + 6[/tex]

You can notice that if we take f(x), and we shift it 2 units to the right, we have:

g(x) = f(x - 2)

Then if we apply a shift upwards of 6 units, then we have:

g(x) = f(x - 2) + 3

Replacing f(x) by the cubic parent function, we have:

[tex]g(x) = (x - 2)^3 + 6[/tex]

So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

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Graph by hand or using a calculator to determine the solution to the given system. Put in slope-intercept form first if necessary.

Answers

The solution to the system of equations is (8, -4)

How to solve the system?

The system of equations is given as;

y = -1/4x - 2

y = 3/8x - 7

See attachment for the graph of the equations

From the attached graph, we have the point of intersection to be

(x, y) = (8, -4)

Hence, the solution to the system of equations is (8, -4)

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Drag the tiles to the correct boxes to complete the pairs.

Match the descriptions of cross sections of three-dimensional figures to their corresponding shapes.

Answers

Answer:

B, C, A

Step-by-step explanation:

Don't really know how to explain this.

determine which two of the three given triangles are similar. Find the scale factor for the pair

Answers

Answer:

Triangles MNP and QRS

Step-by-step explanation:

This is due to each corresponding line follows the same ratio of 1.5:1

e.g.

NP=6

RS=4

6:4

1.5:1

You can verify this by dividing 6 by 4 (6/4) which is 1.5

Can someone help me out on this please having trouble on both and show work please !!

Answers

The difference of the expression is as follows:

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4) = x - 19

How to find the difference of the expression?

The difference of the expression can be found when we combine the like terms.

Therefore,

(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)

6y⁴ + 3y² - 7  - 12y⁴ + y² - 5

6y⁴ - 12y⁴ + 3y² + y² - 7 - 5

- 6y⁴ + 4y² - 12

3(x - 5) - (2x + 4)

3x - 15 - 2x - 4

3x - 2x - 15 - 4

x - 19

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Consider the function represented in this table. f(x) -1 -21 0 -9 1 3 2 15 Which of these tables could represent the inverse of function f? X X -1 0 1 2 q(x) 21 9 -3 -15​

Answers

If f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 then the inverse of function f(x) is p(-21)=-1,p(-9)=0,p(3)=1,p(15)=2 which is option d.

Given that f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 and we are required to find the inverse if the function.

Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have corresponding value of y.

The given function is as under:

f(-1)=-21,

f(0)=-9,

f(1)=3

f(2)=15

In the inverse of the function the value of x becomes the value of y and the value of y becomes the value of x. So the inverse of the function is as under:

p(-21)=-1,

p(-9)=0,

p(3)=1,

p(15)=2

Hence if f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 then the inverse of function f(x) is p(-21)=-1,p(-9)=0,p(3)=1,p(15)=2 which is option d.

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1. Factor and simplify: cos² xcsc² x-cos²xcot² x

Answers

Answer:

Cos² x

Step-by-step explanation:

Trigonometry:

    [tex]\sf Cos^2 \ x *Csc^2 \ x-Cos^2 \ x *Cot^2 \ x = Cos^2 \ x (Csc^2 \ x - Cot^2 \ x)[/tex]

                                                        [tex]\sf = Cos^2 \ x \left(\dfrac{1}{Sin^2 \ x} - \dfrac{Cos^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x \left(\dfrac{1-Cos^2 \ x}{Sin^2 \ x}\right)\\\\\boxed{\bf Indentity: \ 1 - Cos^2 \ x = Sin^2 \ x}\\\\\\= Cos^2 \ x \left(\dfrac{Sin^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x[/tex]

A sample of college students was asked how much they spent monthly on cell phone plans. approximate the standard deviation for the
cost.
monthly cell phone plan cost (5)
number of students
10.00-19.99
7
20.00-29.99
20
30.00-39.99
28
40.00-49.99
12
50.00-59.99
7

Answers

The mean and the standard deviation of the following data are 35.75 and 11.6765 respectively.

First, we'll find the mean (X) of the data:

[tex]X =\dfrac{(\sum x \times f) } {\sum f}[/tex]

So, the approximate standard deviation for the monthly cell phone plan cost is 9.87.

The mean is given by

[tex]\mu =\frac{\sum xf}{\sum f}[/tex]

Where x is the midpoint of the class and f is the frequency.

The calculation of mean and the standard deviation is shown in the below table:

    Hence, the mean is calculated as:

mean is   [tex]\mu =\frac{2359.67}{66}[/tex]

                          =35.75

The standard deviation is calculated as:

Standard deviation =[tex]\sigma[/tex] =[tex]\sqrt{\Dfrac{\sum f(x-\bar{x})^2}{n-1}}[/tex]

=[tex]\sqrt{\dfrac{8862.12121}{65}}[/tex]

=11.6765

Thus, the mean and the standard deviation are 35.75 and 11.6765 respectively.

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The table of standard deviation is attached below.

What is the perimeter of the given quadrilateral?
y
0000
20 units
10 units
50 units
25 units
A
D
B
C

Answers

Answer:

20 units

Step-by-step explanation:

As you know that the quadrilateral is a square, you’ll just have to find the length of one side and multiply it by four. We can count and see that one side is 5 units.

5 * 4 = 20 units


You can also add the length of each of the four sides.

5 + 5 + 5 + 5 = 20


Hope that helps you! Please let me know if you need more help with this question. Have a great day!

5 Jack works as a part-time waiter. He earns $60 per weekday and $98 per day on weekends. (a) On a particular week, he works from Tuesday to Sunday. How much was he paid for that week? (b) Find his average wage rate per day.​

Answers

(a) 4 days on weekday he worked = 4x60
2 days on weekends = 2x98
total = 436
(b) work for 1 week = 5x60+2x98
= 496
per day = 496 divide by 7
= 70.85714286
round off to nearest cent
= 70.86

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?
acute, because 102+122>152
acute, because 122+152>102
obtuse, because 102+122>152
obtuse, because 122+152>102

Answers

Answer:

Option (1)

Step-by-step explanation:

See attached image.

The given measures form a acute angle triangle.

What is an obtuse angle triangle?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Given that, a triangle with side lengths 10 in., 12 in., and 15 in.

We know that,

a²+b²=c²  then triangle will be right angled

a²+b²>c²  then triangle will be acute angled

a²+b²><c²  then triangle will be obtuse angled

Here, a=10 inches, b=12 inches and c=15 inches

10²+12²>15²

100+144>225

244>225

Therefore, the given measures form a acute angle triangle.

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Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?

A. h > 155 or h < 190
B. 155 ≤ h ≤ 190
C. 155 < h < 190
D. h ≥ 155 or h ≤ 190​

Answers

Answer:

a h>155 or h<190

Step-by-step explanation:

The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.

What is an inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the provided data in the question,

The height of the shortest student is 155 cm and,

The height of the tallest student is 190 cm.

It means that the height rage is starting from 155 cm and ending at 190 cm.

The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.

Therefore, the inequality according to this is 155 ≤ h ≤ 190.

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25 POINTS!!!!
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, the value of k is ________??

Answers

The answer is k = 7.

As the graph has been shifted down 7 units, the translation can be represented as :

g(x) = f(x) - 7

(0.5)x - k = (0.5)x - 7

k = 7

What comes next in the following series?

Answers

The next number in the series is 30.

What is series?

It should be noted that series simply means the operation of adding values together in a data set.

In this case, it can be seen that the numbers are interchangeable between 30 and 31.

In this case, since 31 was the last number, the next number will be 30.

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The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x 5y. the company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. which system of inequalities represents this scenario? x2 – 2y > 5000 2x 5y < 1000 x2 – 2y > 5000 2x 5y ≤ 1000 x2 – 2y ≥ 5000 2x 5y < 1000 x2 – 2y ≤ 5000 2x 5y ≤ 1000

Answers

Answer:

answer is (c)

May it help you

Option C. The inequality can then be written as  x² - 2y ≥ 5000 and 2x + 5y <1000

How to write the inequality

Stock = x² - 2y

Purchase = 2x + 5y

Stock is said to be at least 5000 dollars. We can write this as

x² - 2y ≥ 5000

Then the purchase is said to be below 1000. This is written as 2x + 5y <1000

The inequality can then be written as  x² - 2y ≥ 5000 and 2x + 5y <1000

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Identify which property you would use first to solve the following equation.

3(2y+5) = 8y - 23

Answers

Answer:

Distributive property

Step-by-step explanation:

In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.

given that 4x-y=5 4y-z=7 and 4z-x=18 what is the value of x+y+z

Answers

Using simultaneous equations,
x=2, y=3, z=5.

Therefore x+y+z
=2+3+5
=10

Answer:

x + y +z= 10

Step-by-step explanation:

4x - y = 5  ---------(I)

 4y - z = 7 ---------(II)

4z - x = 18 ---------(III)

Add all the three equations,

  4x - y + 4y - z + 4z - x = 5 + 7 + 18

  4x - x  -y + 4y -z + 4z  = 30

              3x + 3y + 3z = 30

Divide the entire equation by 3

               [tex]\sf \dfrac{3x}{3}+\dfrac{3y}{3}+\dfrac{3z}{3} = \dfrac{30}{3}[/tex]

                 x + y + z = 10

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

2x - y = 7

2y = 4x - 14

Answers

Since there are same number of either side, hence the solution has infinite number of solution

System of equations

System of equations are equation that consist of two or more equations with unknown variables.

Given the equations

2x - y = 7

2y = 4x - 14

This can also be written as

2x - y = 7

y = 2x - 7

Substitute equation 2 into 1

2x - (2x - 7) = 7

2x-2x+7= 7

7 = 7

Since there are same number of either side, hence the solution has infinite number of solution

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