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Artist 52 [7]
2 years ago
8

5. What is the complement of the supplement of a 110° angle?

Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0
<h2>Answer:   20°</h2>

<h3>Step-by-step explanation:</h3>

Supplementary angles sum up to 180 °

Complementary angles sum up to 90°.

The supplement of 110° = 180° - 110° = 70°

The complement of 70° = 90° - 70° = 20°

<u>Simplier version:</u>

The complement of the supplement of 110° = (90° - (180° - 110°))

                                                                         = 20°

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Find the indicated probability or percentage for the sampling error. The distribution of weekly salaries at a large company is r
Flauer [41]

Answer:

The probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

Step-by-step explanation:

According to the Central Limit Theorem if we have a non-normal population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

\mu=\$1000\\\sigma=\$370\\n=80

As <em>n</em> = 80 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean weekly salaries.

Let \bar X represent the sample mean weekly salaries.

The distribution of \bar X is: \bar X\sim N(\$1000,\ \$41.37)

Now we need to compute the probability of the sampling error made in estimating the mean weekly salary to be at most $75.

The sampling error is the the difference between the estimated value of the parameter and the actual value of the parameter, i.e. in this case the sampling error is, |\bar X-\mu|= 75.

Compute the probability as follows:

P(-75

                                     =P(-1.81

Thus, the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

3 0
3 years ago
What is the volume of a right circular cylinder with a radius of 3in and a height of 10in
WARRIOR [948]

Answer:

282.6 inches cubed

Step-by-step explanation:

The volume of the cylinder with radius 3 in and height 10 in is

V=\pi (3^2)(10)= \pi (9)(10)= 90\pi = 90(3.14) = 282.6 in^3


7 0
3 years ago
Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
Alik [6]
The amount she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
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4 0
3 years ago
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Josh buys cucumbers that cost $0.62 per pound.He pays $2.79 for the cucumbers.
Sphinxa [80]
Please refer to the other post you saw.

Josh's estimate IS reasonable because when you have a number 5 or above after the decimal, you round up. Although it's reasonable to round up to 5 pounds, the actual amount is 4.5 pounds, or four and a half.
5 0
3 years ago
Q13 A gardener needs to buy compost to fill this tub.
REY [17]

Answer:

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The gardener must buy 5 bags of compost to fill the tub.

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