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3 years ago

7

A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct

ly find the length of the tree's shadow?

1 answer:

coldgirl [10]3 years ago

8 0

15/11=28/x 15x=308 308÷15=20.5 3 reapeted

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The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

2 years ago

What is the first integer to the right of 0 on the number line

Nesterboy [21]

Answer:

1

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.

Cheers.

4 0

3 years ago

Can some one explain how to do this?

Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = $\frac{opposite}{adjacent}$ = $\frac{FG}{EG}$ = $\frac{28}{EG}$ ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = $\frac{28}{tan60}$ ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{FG}{EF}$ = $\frac{28}{EF}$ ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = $\frac{28}{sin60}$ ≈ 32.3 in ( to the nearest tenth )

3 0

3 years ago

The number of students at Lala High School is 64 less than 3 times the number of students at Banana High School. Which expressio

dangina [55]

Answer:

3s - 64

Step-by-step explanation:

7 0

3 years ago

Find F(-2)<br> F(x)=5^x<br> A=1/25<br> B=1/10<br> C=-10<br> D=-25

kati45 [8]

F(-2) when F(x)=5^x is 1/25

7 0

2 years ago