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3 years ago

EXPONENT SIMPLIFICATION!!! PLEASE HELP TIMED TEST!!!

Mathematics

2 answers:

Artyom0805 [142]3 years ago

5 0

A is the right answer hope it helps

Elodia [21]3 years ago

3 0

D when dividing u subtract exponents

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PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!

slega [8]

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert to math

5x + 1 = 3x + 5

Step 2: Solve for x

Subtract 4x on both sides: 2x + 1 = 5
Subtract 1 on both sides: 2x = 4
Divide both sides by 2: x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) + 1 = 3(2) + 5

10 + 1 = 6 + 5

11 = 11

7 0

3 years ago

Read 2 more answers

What is 2384598 increased by six million

Anettt [7]

2,384,598 + 6,000,000 = 2,984,598

5 0

3 years ago

The data represent a random sample of the number of home fire started by candles for the past several years (data are from the n

Talja [164]

Answer:

$7041.43-3.71\frac{1610.27}{\sqrt{7}}=4783.43$

$7041.43+3.71\frac{1610.27}{\sqrt{7}}=9299.43$

So on this case the 99% confidence interval would be given by (4783.43;9299.43)

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".

Solution to the problem

For this case we have the following data:

5460 5900 6090 6310 7160 8440 9930

And for this case we can calculate the mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$\bar X=7041.43$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1610.27 represent the sample standard deviation

n=7 represent the sample size

Calculate the confidence interval

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:

$df=n-1=7-1=6$

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(0.005,6)".And we see that $t_{\alpha/2}=3.71$