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Masteriza [31]
2 years ago
11

A utility pole is 35 ft tall. The pole creates a 50 ft. shadow. What is the angle of elevation of the sun? Round your answer to

the nearest degree. Show your work.

Mathematics
1 answer:
Ilya [14]2 years ago
6 0
We can get the angle with 
tan a= opposite side / adjacent side = 35ft/ 50ft=0.7, so a = arctan(0.7)=35°
look at the image

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The sampling distribution used when making inferences about a single population variance is?
melamori03 [73]

We use the chi-square distribution when making inferences about a single population variance.

Short Description of Chi-Square Distribution

The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.

Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:

S² = ∑(Yₓ - Y') / (n-1)

The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.

Learn more about chi-square distribution here:

brainly.com/question/13857280

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4 0
1 year ago
How do you write the algebraic expression 6 less than the quotient of 32 and a number y
masha68 [24]

Answer:

( 32/y ) - 6

Step-by-step explanation:

okay so quotient means the result obtained by dividing one quantity by another and the problem that follows that is 32 and a number, y

this is meaning that 32 and y and going to be dividing (32/y)

less than means subtraction and the number that's surrounding that is 6.

this means that 6 is going to be subtracted from (32/y)

hopefully this helped! good luck bud <3

4 0
3 years ago
Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h
coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0
3 years ago
HURRY!!!! a square has an are of 25 cm squaed, what is the length of each side?
Marrrta [24]

Answer: All sides are 5cm hope this helps...

6 0
3 years ago
Please help me on these please it’s due today
Nezavi [6.7K]

Answer:

I don't know

Step-by-step explanation:

sorry for not responding to it

4 0
3 years ago
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