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tia_tia [17]
3 years ago
13

Find the measures of the angles

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

Answer:

m 1 = 90

m 2 = 68

m 3 = 112

m 4 = 112

m 5 = 68

m 6 = 44

m 7 = 112

m 8 = 112

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A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. ​(a) What must be true
valentina_108 [34]

Answer:

(a) The distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b) The value of P(\bar X is 0.7642.

(c) The value of P(\bar X\geq 69.1) is 0.3670.

Step-by-step explanation:

A random sample of size <em>n</em> = 10 is selected from a population.

Let the population be made up of the random variable <em>X</em>.

The mean and standard deviation of <em>X</em> are:

\mu=68\\\sigma=15

(a)

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

Since the sample selected is not large, i.e. <em>n</em> = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

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

\mu_{\bar x}=\mu=68

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

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74

Thus, the distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b)

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the value of P(\bar X is 0.7642.

(c)

Compute the value of P(\bar X\geq 69.1) as follows:

Apply continuity correction as follows:

P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)

                    =P(\bar X>69.6)

                    =P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})

                    =P(Z>0.34)\\=1-P(Z

Thus, the value of P(\bar X\geq 69.1) is 0.3670.

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Answer:

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Step-by-step explanation:

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tara bakes 225 cookies in 5 hours, and she uses 8 pounds of sugar. she divide 225 by 5 to grt a rate of 45. which of the followi
Sati [7]

Options :

A cookies per pound

B. O pounds per hour

c. cookies per hour

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Step-by-step explanation:

Given the following :

Number of cookies baked = 225 cookies

Total time taken = 5 hours

Amount of sugar used = 8 pounds

Tara divides 225 by 5; 225 / 5 = 45

Rate gives the amount or number of times something occurs within a given period, Hence

The rate obtained by Tara corresponds to the ratio of ; (Total cookies baked / total time taken) = (225 / 5), this translates to the amount or number of cookies baked within an hour.

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Answer:

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Which expression is equivalent to 6x - 24?
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