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3 years ago

Which expression is equivalent to |b| > 2?

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

1. b < -2 or b > 2

Step-by-step explanation:

|b| > 2

you get 2 solutions, one positive and one negative

remember to flip the inequality for the negative

b>2 or b<-2

You might be interested in

Four subtracted from twice a number is two. what is the number

EastWind [94]

Answer: 3

Step-by-step explanation:

First, we will write a mathematical equation for the phrase given.

-> Let n be "a number"

four subtracted from twice a number is two

four subtracted from twice a number = 2

(twice a number) - 4 = 2

2n - 4 = 2

Now, we will solve this equation by isolating the variable.

2n - 4 = 2

2n = 6

n = 3

Read more about algebraic equations here:

brainly.com/question/27791850

8 0

2 years ago

How do you simplify 40/71

uysha [10]

Answer:

40/71

Step-by-step explanation:

Because 71 is prime so there is no other way to simplify

3 0

3 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: 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:

$df=n-1=36-1=35$

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(0.005,35)".And we see that $t_{\alpha/2}=2.72$