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2 years ago

Plzz help will give brainliest

Mathematics

1 answer:

skad [1K]2 years ago

6 0

Answer: 82.5 - x = R sorry if I am wrong

Step-by-step explanation:

1. We know all the angles in a triangle add up to 180 degrees.

180 = x + x + 15 + R

2. Combine like terms

180 = 2x + 15 + R

3. Subtract 15 from both sides

165 = 2x + R

4. Divide both sides by 2

82.5 = x + R

5. Subtract x from both sides

82.5 - x = R

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Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per

Minchanka [31]

Answer:

This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day

Step-by-step explanation:

Given

The total spent on a slice of pizza and a soda is:

$Cost > \$18000$ per year

Required

Which of the options is true:

First, we calculate the daily amount spent on a slice of pizza and a soda.

Assume that the yearly cost is: $18000

The daily cost is:

$Daily = \frac{\$18000}{365}$

$Daily = \$49.32$

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3 years ago

A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec

VMariaS [17]

Answer:

$19.1-3.355\frac{1.5}{\sqrt{9}}=17.42$

$19.1+3.355\frac{1.5}{\sqrt{9}}=20.78$

And the best option would be:

C. [17.42,20.78]

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=19.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=9-1=8$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that $t_{\alpha/2}=$