What is the name of this angle?

FinnZ [79.3K]

Multiply all 4 an the answer is gonna be the area

3 0

3 years ago

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

USPshnik [31]

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 55, \pi = \frac{24}{55} = 0.4364$

93% confidence level

So $\alpha = 0.07$ , z is the value of Z that has a pvalue of $1 - \frac{0.07}{2} = 0.965$ , so $Z = 1.81$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 - 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.3154$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 + 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.5574$

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

8 0

3 years ago

Hayden had 2 and 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a

Flauer [41]

Answer:

7/8 of a gallon

Step-by-step explanation:

First find a common denominator for each of the values, in this case eighths. Next, add the total water used for the tomatoes and peppers (you'll get 7/8 gallons). Then, convert the 2 and a half gallons to eighths, getting 20/8 of a gallon. Next, subtract the 7/8 from the 20/8; getting 13/8. Since you need to find the amount of water used for the lettuce, subtract the last value from 3/4 gallons (or 6/8)

8 0

2 years ago

A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa

rosijanka [135]

Answer:

$P_{39}=133.68$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.39

$P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68$

$P_{39}=133.68$

133.68 separates the bottom 39% means from the top 61% means.

7 0

3 years ago

PLZZZZ HELPP WILL GIVE BRAINLIEST

liberstina [14]

Answer:

HL

Step-by-step explanation:

Since both triangles are right angle triangles that means one angle is 90°. other two sides are given congruent .

that means lengths of hypotenuse and the leg of the one right angle triangle is equal to the corresponding other hypotenuse and leg of other triangle.

This fulfills the condition of HL congruency.

7 0

2 years ago