19. Use the unit circle to find the value of tan 315º.
Show work pls.

Answer:

Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000

Step-by-step explanation:

Given the data :

108 83 106 73 53 85 80 63 67 75 124 55 93 118 77

Reorderd data :

53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124

The median salary:

1/2(n+1)th term

Sample size, n = 15

1/2 (15 + 1)th term

1/2(16)th term

8th term = 80

Median is $80,000

Median reported by Wall Street Journal approximately $85000

The obtained and reported values are close

The mean annual salary :

ΣX / n = 1260 / 15 = 84

Mean annual salary = $84,000

Mean is the average of all earnings combined, median is the mid value of he data.

First and third quartile :

Q1 = 1/4(n+1)th term

Q1 = 1/4(16)th term

Q1 = 4th term = 67

Third quartile:.

Q3 = 3/4(n+1)th term

Q3 = 3/4(16)th term

Q3 = 12th term = 106

Answer:

[tex](x+12)^2+(y-5)^2=80[/tex]

Step-by-step explanation:

First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is [tex]\sqrt{4^2+8^2}=\sqrt{80}[/tex].

The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;

(x+1)²+(y-4)²=348.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

Find the distance AB

d=√[(9 + 14)²+(-10 - 1)²]

d=√[576+121]

d=√697 units

The diameter=√697 units

r=√697/2  unit

Thus, the center of the circle is (-1,4)

Hence, the equation of a circle

(x-h)²+(y-k)²=r²

(x+1)²+(y-4)²=(√697/2)²

(x+1)²+(y-4)²=348

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Answer:

The chance that the usual language in that household will NOT be English = 0.4

Step-by-step explanation:

As given ,

Total households in which languages spoken is English = 180

Total households in which languages spoken is Spanish = 80

Total households in which languages spoken is other than English or Spanish  = 40

So,

Total households = 180 + 80 + 40 = 300

Now,

Household in which English language is not spoken = 80 + 40 = 120

So,

The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]

∴ we get

The chance that the usual language in that household will NOT be English = 0.4

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x  - 5/2 + 6/2

y = 1/2x +  1/2

Removing the fractions:

2y = x  + 1

in standard form this is

x - 2y = -1

Answer:

A

Step-by-step explanation:

y= 6x

Plug and chug the function.

0

1

2

3

4

5

take x 1 so 1-1

2-1..........

Answer:

The answer is p= -7/2

Step-by-step explanation:

Move all terms not containing  p  to the right side of the equation.

Hoped this helped!

brainly, please?

Answer:

Should be 43

Step-by-step explanation:

There are only 43 bags that actually have buttons from the 3 numbers given.

Answer:

Step-by-step explanation:

ok soo....

the area of the one like higher up would be 42

and then the area of the one like landscape would be 48

and then the area of like the box they make in the middle is 30

so ya i hope this helped

Answer:

A is the answer!

Step-by-step explanation:

There are 6 significant digits are in the answer.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Here, significant digits are used to compute the product of 0.105 and 1000.2000,

Now,

Multiplication of 0.105 and 1000.2000 is,

⇒ 0.105 × 1000.2000

⇒ 105.021

Hence, There are 6 significant digits are in the answer.

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Answer:0.011

Step-by-step explanation:

The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of the infected chicken is 15%.

Which can be written as,

P(infected) = 15%

                  = 15/100

                  = 0.15

Then, the probability of not getting infected chicken is,

P(not infected) = 1 - 0.15

                        = 0.85

The total number of chicken for test = 7.

Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.

The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.

For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.

Thus, the probability is given as,

P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³

Hence, the  probability that exactly 4 of the 7 chickens sampled have the virus is  ⁷C₄(0.15)⁴(0.85)³.

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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".

9514 1404 393

Answer:

  y = -x +3

Step-by-step explanation:

The 2-point form of the equation of a line is useful when 2 points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (0 -5)/(3 -(-2))(x -(-2)) +5

  y = -5/5(x +2) +5

  y = -x +3

Answer:

10% or 1/10 chance

Step-by-step explanation:

The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.

Answer:

144.75 g

Step-by-step explanation:

19.3x7.5 = 144.75

Answer:

21

Step-by-step explanation:

21

Answer:

f(-4)=3(-4)-8

f(-4)=-12-8

f(-4)=-20

f(2)=3(2)-8

f(2)=6-8

f(2)=-2

f(7)=3(7)-8

f(7)=21-8

f(7)=13

R=(-20, -2, 13)

The range of the function when  f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).

Since

f(-4)=3(-4)-8

f(-4)=-12-8

f(-4)=-20

Now

f(2)=3(2)-8

f(2)=6-8

f(2)=-2

Now

f(7)=3(7)-8

f(7)=21-8

f(7)=13

So,

R=(-20, -2, 13)

hence, The range of the function when  f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).

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Answer:

is there another number, if so what is it?

Answer:

25%

Step-by-step explanation:

Answer:

hope it helps you (:

Step-by-step explanation:

Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Just remember

if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below

if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below

To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

Answer:

1/4*(9x+130x-234/35

Step-by-step explanation:

get photomath

Answer:

Mochi

Step-by-step explanation:

Mochi

Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.

4th week : 17

5th week : 21

Kappa

In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.

on the 3rd week Kappa weighed 11

and 2nd week Kappa weighed 5

and 1st week Kappa weighed 3

Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.

Answer:

Step-by-step explanation:

[tex]4(4)+4\sqrt{2}-4\sqrt{2}-\sqrt{2}\sqrt{2}=16-2=14[/tex]

Answer:

- 5/4

Step-by-step explanation:

exact form:-5/4

decimal form:-1.25

mixed number form: -1 1/4

Answer:

The angle of elevation of the pile is 30°

Step-by-step explanation:

Given that;

Height = 15 ft

Diameter = 52 ft

so radius r = D/2 = 52/2 = 26 ft

Now, to get the angle of elevation.

given the details in the question,

we can say; the given height is the opposite which is 15 ft.

Also the radius is adjacent which is 26 ft

using SOH CAH TOA

TOA; Tan = Opposite / Adjacent

so

tan∅ = 15 ft / 26 ft

tan∅ = 0.5769

∅ = tan⁻¹( 0.5769 )

∅ = 29.98° ≈ 30°

Therefore, The angle of elevation of the pile is 30°

Answer:

Step-by-step explanation:

c and b are the number of cherry and blackberry sold.

1c + 1b = 35

b = 35-c

12c +  9b = 360

12c + 9(35-c) = 360

3c = 45

c = 15

b = 35-c = 20

$15 for one cherry pie, $20 for one blackberry pie.

Answer:

Just look down lol

Step-by-step explanation:

Anyways, what you would have to do on both sides is try to isolate x on each side, so for the first inequality, you would add 3 on both sides, x[tex]\leq[/tex]8, and for the other equation you would subtract 4 on both sides, so x[tex]\geq[/tex]10

I actually hope this helps

Answer:

a. 68%

b. 99.7%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 246.8

Standard deviation = 67.2

a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 179.6 and 314.0​?

By the Empirical Rule, approximately 68%.

b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4​?

45.2 = 246.8 - 3*67.2

448.4 = 246.8 + 3*67.2

Within 3 standard deviations of the mean, so approximately 99.7%.