All categories

3 years ago

Find the area. Round to the nearest tenth if necessary.

Mathematics

1 answer:

disa [49]3 years ago

4 0

Answer:

575.4 sq inches

Step-by-step explanation:

you can divide this shape into:

13 x 13 square

trapezoid with bases of 13 and 30 with a height of 20

semi-circle with radius of 15

A(square) = 169

A(trapezoid) = 53

A(semi-circle) = 353.4

You might be interested in

A metric ton is 1,000 kg, and a British ton is 2,000 lb. Which has the greater weight?

Margaret [11]

Answer:

A metric ton weights more because a kg is equal to about 2.204 lbs.

1000 x 2.204 = 2204 lbs > 2000 lbs

Step-by-step explanation:

Hope this helps! Have a nice day!

8 0

3 years ago

Based upon a smaller sample of only 170 st. paulites, what is the probability that the sample proportion will be within of the p

Pepsi [2]

Given that in 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008.

Part a) :

Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 450
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{450}} = 0.0204$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0204.

Part b) :

Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?

The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\ \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0204} \right)-1 \\ \\ 2P(z\ \textless \ 1.961)-1=2(0.97505)-1=1.9501-1 \\ \\ =\bold{0.9501}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.9501.

Part C:

Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 200
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{200}} = 0.0306$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0306.

Part D):

Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?


The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\
 \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0306} 
\right)-1 \\ \\ 2P(z\ \textless \ 1.306)-1=2(0.90429)-1=1.80858-1 \\ \\
 =\bold{0.8086}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.8086.

8 0

3 years ago

If a formula of a triangle is 18 = (h - 1) x 6 x .5 how would you get your answer?

V125BC [204]

Answer:

h = 7

Step-by-step explanation:

18 = (h - 1) × 6 × 0.5

simplify:

18 = 3(h - 1)

distribute the 3:

18 = 3h - 3

add 3 to both sides:

3h = 21

divide by 3:

h = 7

5 0

4 years ago

Solve 2x2 − 12x + 20 = 0. 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i

makkiz [27]

This is the concept of quadratic equations, solving the equation 2x^2-12x+20=0 using the formula we get:
x=[-b+/-sqrt(b^2-4ac)]/(2a)
from our equation, a=2,b=-12 and c=20
x=[-(-12+/-sqrt((-12)^2-4*2*20)]/(2*2)
x=[12+/-sqrt(144-160]/4
x=[12+/-sqrt(-16)]/4
x=[12+/-4i]/4
x=[3+\-i]
the answer is A] 3+/-i

7 0

3 years ago

A photograph shows a man standing next to a tool shed. The man is 6 ft tall. In the photograph, he is 0.5 inch tall and the too

Artyom0805 [142]

Answer:

wait is he 6 ft or 5 ft

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the area. Round to the nearest tenth if necessary. ​

Find the area. Round to the nearest tenth if necessary.