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4 years ago

△ABC is a right triangle with right angle at ∠B .

1 answer:

7 0

We can use the tangent function to find the value of angle C.

tan ∠C = 29/38
tan ∠C = 0.76315789473

Now we will do inverse of tangent on both sides.

∠C ≈ 37°

Hope this helps :)

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*PLEASE ANSWER!!! I DONT UNDERSTAND*

solong [7]

Answer:

the answer is $8,333

Step-by-step explanation:

$200.000 divided by 2 pay checks a month

200.000/24 = 8333.33333 so its $8,333

5 0

3 years ago

Read 2 more answers

Jack earned $972 in 6 years on an investment at a 3% annual simple interest rate. How much was Jack’s investment?

Tanya [424]

Answer:

the answer would be $5400

Step-by-step explanation:

5400 times .03 = 162, 162 times 6=972

8 0

4 years ago

What is the diagonal of a solid square. each side is 7.

Delvig [45]

Answer:

9. 89

Step-by-step explanation:

A squared + B squared = C squared

7 squared + 7 squared = 98 squared

Find the square root of 98 (I recommend using a calculator)

You should get 9.89 as an answer.

5 0

3 years ago

Find the value of 7w-8 given that -4w-5=3 Simplify your answer as much as possible. 7w - 8 =

blondinia [14]

Answer:

The value of 7w - 8 is -22

Step-by-step explanation:

Let us solve the question

∵ -4w - 5 = 3

→ Move -5 from the left side to the right side by adding both sides by 5

∴ -4w - 5 + 5 = 3 + 5

∴ -4w = 8

→ Divide both sides by -4

∵ $\frac{-4w}{-4}$ = $\frac{8}{-4}$

∴ w = -2

→ Now let us find the value of the given expression

∵ The given expression is 7w - 8

→ Substitute w by -2 to gets its value

∴ 7w - 8 = 7(-2) - 8

∴ 7w - 8 = -14 - 8

∴ 7w - 8 = -22

∴ The value of 7w - 8 is -22

8 0

3 years ago

g A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estim

kipiarov [429]

Answer:

a) n= 1045 computers

b) n= 442 computers

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

Step-by-step explanation:

Hello!

The variable of interest is

X: Number of computers that use the new operating system.

You need to find the best sample size to take so that the proportion of computers that use the new operating system can be estimated with a 99% CI and a margin of error no greater than 4%.

The confidence interval for the population proportion is:

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

$Z_{1-\alpha /2}= Z_{0.995}= 2.586$

a) In this item there is no known value for the sample proportion (p') when something like this happens, you have to assume the "worst-case scenario" that is, that the proportion of success and failure of the trial are the same, i.e. p'=q'=0.5

The margin of error of the interval is:

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

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

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

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

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

$n=[0.5(1-0.5)]*(\frac{2.586}{0.04} )^2= 1044.9056$

n= 1045 computers

b) This time there is a known value for the sample proportion: p'= 0.88, using the same confidence level and required margin of error:

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

$n= [0.88*0.12]*(\frac{{2.586}}{0.04})^2= 441.3681$

n= 442 computers

c) The additional information in part b affected the required sample size, it was drastically decreased in comparison with the sample size calculated in a).

I hope it helps!

4 0

4 years ago