The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger than 18 is 0.6. The table displays all possible samples of size 2 and the corresponding proportion for each sample. A 2-column table with 10 rows. Column 1 is labeled sample n = 2 with entries (18, 18), (18, 17), (18, 17), (18, 16), (18, 16), (18, 15), (18, 15), (17, 16), (17, 15), (16, 15). Column 2 is labeled sample range with entries 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 1. Using the proportions in the table, is the sample proportion an unbiased estimator? Yes, the sample proportions are calculated using samples from the population. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion. No, 0.6 is not one of the possible sample proportions. No, 70% of the sample proportions are less than or equal to 0.5

Answer:

cos(x)=10/15

Step-by-step explanation:

As cosine is Base/Hypotenues

cos(x)=JL/JK

= 10/15

The equation used to find the measure of angle LJK is option C. cos(x) = 10/15.

Trigonometric functions are the functions which are represented as the ratio of the sides of a right angled triangle.

The three main trigonometric functions are sine, cosine and tangent function.

Sine function of an angle is the ratio of the opposite side to the hypotenuse of the triangle.

Cosine function of an angle is the ratio of the adjacent side to the hypotenuse of the triangle.

Here,

Hypotenuse of the triangle = KJ = 15 inches

LJ = 10 inches is the adjacent side with respect to the angle x.

We can use cosine function here.

cos (x) = LJ / KJ = 10/15

Hence the equation used is cos(x) = 10/15.

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Using quadratic function concepts, it is found that:

a) The equation is: 16t² - 64 = 0.

b) It takes 4 seconds before the weight is caught by the net.

It is given by:

h(t) = -16t^2 + v(0)t + h(0).

In which:

Item a:

In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.

Then, the equation for the height is given by:

h(t) = -16t^2 + v(0)t + h(0)

h(t) = -16t^2 + 67

It hits the net when h(t) = 3, hence:

3 = -16t^2 + 67

16t² - 64 = 0.

Item b:

16t² = 64

[tex]t = \pm \sqrt{4}[/tex]

t = 4, as time is positive.

It takes 4 seconds before the weight is caught by the net.

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Answer:

Mean → 9

Median → 7

Mode → 4

Step-by-step explanation:

For mean ↓

(9+4+17+4+7+8+14) ÷ 7 = 9

For median ↓

G U E S S E D

For mode ↓

Mode is 4 because it is shown twice in the data.

2 x 2 = 4

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/14/2022 at 6:31 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

39.6

Step-by-step explanation:

The perimeter is simple, just add the sides up which is 19.2+20.4 which is the answer.

Answer: 39.6

Step-by-step explanation: 2 (Length + width)

2( 10.2 + 9.6)

Answer:

60

Step-by-Step Explanation:

(200-125):125*100 =

(200:125-1)*100 =

160-100 = 60

Now we have: What is the percentage increase/decrease from 125 to 200 = 60

Answer:

+63%

Step-by-step explanation:

We need to divide to solve this :)

125/200 = 0.63 x 100 = 63%

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= 2 ( n-3 )

= 3 ( x+8 )

x= l×b

= x/3

= x/2 + 11

a= 2 ( n-3 )

b= 3 ( x+8 )

c= x= l×b

d= x/3

e= x/2 + 11

Answer:

2.4

Step-by-step explanation:

6 / 2 1/2 = 2.4

Hope This  Helps

Answer:

9:4,4:9,7:4,4:7,473

Step-by-step explanation:

4 times 9

9 times 4

7 times 4

4 times 7

473

Answer:

PLEASE MARK AS BRAINLIST

we know thatthe equation of the circle is of the formwhere(h,k) is the center of the circler is the radius of the circlein this problem we havesothe center is the point the radius is thereforethe answer isThe radius of the circle is equal to  4units

The required radius of a circle whose equation is (x + 5)² + (y - 3)² = 4² is 4. Option B is correct.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

The equation of the circle is given by:

(x + 5)² + (y - 3)² = 4²

Comparing this equation with the standard form of the equation of a circle:

(x - a)² + (y - b)² = r²

We can see that the center of the circle is at the point (-5, 3), and the radius of the circle is 4 units (which is the same as the constant on the right-hand side of the equation).

Therefore, the radius of the circle is 4 units.

So the answer is (B) 4 units.

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Answer:

UWU

Step-by-step explanation:

THIS IS A GOOD ASNWER YOZ NEED IT RN SO GOOD LUCK

the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

in right triangle ,XYZ, the length of the hypotenuse YZ=85 and tanZ=3/4.

so, we get,

let, the sides= 3x & 4x

now, by Pythagorean theorem,

9x^2 + 16x^2 = 85

x=1.84

hence,  the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .

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Answer:

y = 108°

Step-by-step explanation:

3x - 12 and 2x + 16 are corresponding angles and are congruent , then

3x - 12 = 2x + 16 ( subtract 2x from both sides )

x - 12 = 16 ( add 12 to both sides )

x = 28

then

3x - 12 = 3(28) - 12 = 84 - 12 = 72°

y and 3x - 12 are adjacent angles and sum to 180° , that is

y + 72° = 180° ( subtract 72° from both sides )

y = 108°

Step-by-step explanation:

There you go I hope this helps

explanation

3(y-3)=-2y+6

3y-9=-2y+6

5y-9=6

5y=15

y=3

Answer:

Step-by-step explan

Answer:

see below

Step-by-step explanation:

Need the choices,    1- 15 can be weighed   but 16 cannot be weighed

Answer: 9 textbooks

Step-by-step explanation:

25 x 120.00 = 3,000

4,000 - 3,000 = 1,000

9 x 105.00 = 945

1,000 - 945 = 55

The teacher can only buy 9 textbooks since she/he doesn't have enough money to get anymore.

Answer:

1.66666... the number 6 is repeating

Answer:

1. ¯6 or 1.66666.... and 6 is the repeating number

Answer:

765.037

Step-by-step explanation:

7 x 100 = 700

6 x 10 = 60

5 x 1 = 5

0 x (1/10) = 0

3 x (1/100) = 0.03

7 x (1/1000) = 0.007

Add them all up and you'll get 765.037.

Answer: 3- 0.67x = 0.75

Step-by-step explanation: Convert fractions to decimals

Answer:

Well it is 16

Step-by-step explanation:

the rectangle has 2 of the same sides for each side, so 3x2+5x2, a square has all sides equal to each other, so 4x4

So Now we do the easy part|
The rectangle that is grey:
3x2 = 6
5x2 = 10
6+10 =16

The orange square:
4x4 = 16
4+4=8
4+4=8
8+8=16

Therefore both are 16, meaning 16 must be the perimeter for both!

Answer:

24

Step-by-step explanation:

All you gotta do is 30(12)=15(x). So 360=15x, then divide from there to only get x

Answer:

2475%

Step-by-step explanation:

Answer:   1/2

Step-by-step explanation:   rise/ run

Answer:

x = 31/3 or 10 1/3.

Step-by-step explanation:

2(3x-5)=52

2*3x + 2*-5 = 52

6x - 10 = 52

6x - 10 + 10 = 52 + 10

6x = 62

x = 62/6 = 31/3

Answer:

3

Step-by-step explanation:

do 3×7+9×2=39 (Ms. Amani)

Next do 9×4=36 (Mr.Blake)

39-36=3

Hope this helps!

Answer:

8 ounces

If you need more I can add

Answer:

See below

Step-by-step explanation:

m = k/m     sub in the values given

-4 = k / 17

k = -68

so    m = -68/n     NOTE: this can also be written as  n = -68/m

Answer:

Step-by-step explanation:

Nikki,  they wrote the problem in a format that is general

y = k/ x      for the given variables  m and n  then

m = k / n   where k is some constant ( konstant)

plug in the given numbers for m and n

-4 =k / 17

solve for k

-4 * 17 = k

-68 = k

now we have a better formula

m = -68 / n  ( this is your answer a )

now plug in -136 for m

-136 = -68 / n  

solve for n

n = -68 / -136

n = 1/2   ( this is your answer b)

Hope that helps,  can you see how I did that?

Answer: f(x) = 90,200 (1-.002)^7

Step-by-step explanation:

f(x) = a (1 - r)^t

f(x) = 90,200 (1-.02)^7

The equation f(7) = 90,200 (1 - 0.02)⁷  represents the town’s population after 7 years.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A town has a population of 90,200 and shrinks at a rate of 2% every year.

As we know the exponential equation for the population as

f(n) = a (1 - r)ⁿ

Where a is the initial population

r is rate

n is years

As per the question, we have

a = 90,200, r = 2/100 = 0.02, and t = 7 years

Substitute the known values in the above equation, and we get

f(7) = 90,200 (1 - 0.02)⁷

This equation represents the town’s population after 7 years.

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Answer:

the formula for finding interest is I=p×r×t÷100

so the answer will be l=4000×3×4÷100which is equal to480.Therefore the interest is $480

Answer: 70

Step-by-step explanation: BAD is 110 degrees and BDE is 180 so do 180 minus 110 and gets you 70 which is DE

Reason:

Central angle BAD is 110 degrees.

This makes angle DAE to be 180-110 = 70 degrees since the two angles are supplementary. They combine to a 180 degree straight angle.

From there, minor arc DE is also 70 degrees. This is because the central angle subtending the arc will be the same measure.

Answer:

1.(x+15)(x−15)

2.(9+2y)(9−2y)

3.(3k^2+5)(3k^2−5)

Step-by-step explanation:

hope this helps