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xxMikexx [17]
2 years ago
7

Please hurry! will give brainliest

Mathematics
1 answer:
slega [8]2 years ago
3 0

Answer:

Step-by-step explanation:

If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))

Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

cos\alpha = \frac{15}{24}

and \alpha = 51.3 degrees

The angle is 51.3 degrees hope that helps!

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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
2 years ago
What is 1/5 (g - 10). <br><br> I need a answer! <br> Thanks for the help .
ICE Princess25 [194]
What do u bealive or think g is
7 0
2 years ago
Y=−2x+4<br> Complete the missing value in the solution to the equation.<br><br> (____,-2)
mestny [16]

(3, - 2)

given y = - 2, then

- 2x + 4 = - 2 ( solve for x )

subtract 4 from both sides

- 2x = - 6 ( divide both sides by - 2 )

x = \frac{-6}{-2} = 3


3 0
3 years ago
Read 2 more answers
Which one is it i don’t know
matrenka [14]

Answer:

the anwer is

3f - 9g + 7

3 0
2 years ago
F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What<br> is the value of g(f(2)) ?
elixir [45]
<h2>Answer:    g(f(2))  = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

             = 11

6 0
2 years ago
Read 2 more answers
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