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3 years ago

At 5pm the total rainfall is 3cm. At 11 pm the total rainfall is 13cm.What is the mean hourly rainfall?

Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms = 13

13/6 = 2.16

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3 years ago

"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen

Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ ]

Where

p' is the sample proportion/point estimator of the population proportion

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error (d) of the confidence interval.

$Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648$

$d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

$d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }$

$(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}$

$n*(d*Z_{1-\alpha /2})^2= p'(1-p')$

$n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}$

$n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}$

n= 147.28 ≅ 148 boxes.

I hope it helps!

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3 years ago

FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

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A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

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Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

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3 years ago

What is 4(x-1)^2+2=10

Sergeeva-Olga [200]

Answer:

Answer below

Step-by-step explanation:

4(x−1)

=10−2

4(x−1)

(x−1)

x −1=±√

x−1=√

x-1=-\sqrt{2}x−1=−√

x=√

x=−√

x=√

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2 years ago

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s2008m [1.1K]

Answer:

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Step-by-step explanation:

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