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3 years ago

Find the measure of the missing angle

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Answer:

c = 49

b = 131

Step-by-step explanation:

c and 49 are vertical angles and vertical angles are equal

c = 49

b and 49 are supplementary angles and supplementary angles add to 180 degrees

b+49 = 180

b = 180-49

b =131

Romashka [77]3 years ago

7 0

Answer:

Hello!

c = 49

b = 131

explanation: 131 + 131 + 49 + 49 = 360

hope that helps!

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A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got: