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4 years ago

Solve for x. −7≥13−5x

Mathematics

2 answers:

pentagon [3]4 years ago

7 0

The answer to this is 4 ≤ x

In order to find this, follow the order of operations.

−7 ≥ 13 − 5x ----> Subtract 13 from both sides

-20 ≥ -5x -----> Divide by -5

4 ≤ x (NOTE: the sign changes direction when dividing by a negative.

xz_007 [3.2K]4 years ago

7 0

Solve for x:

−7 ≥ 13 − 5x

Let's solve your inequality step-by-step.

−7 ≥ 13 − 5x

Step 1: Simplify both sides of the inequality.

−7≥ − 5x + 13

Step 2: Flip the equation.

−5x + 13 ≤ −7

Step 3: Subtract 13 from both sides.

−5x + 13 − 13 ≤ − 7 − 13

−5x ≤ − 20

Step 4: Divide both sides by -5.

−5x/ −5 ≤ −20/ −5

x ≥ 4

Answer: x ≥ 4

Hope that helps!!! : )

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3 years ago

Read 2 more answers

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 85% confidence inter

Gre4nikov [31]

Answer:

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So on this case the 85% confidence interval would be given by (7.2;7.4)

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".

$\bar X=7.3$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma =1.2$ represent the population standard deviation

n=830 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)

Since the Confidence is 0.85 or 85%, the value of $\alpha=0.15$ and $\alpha/2 =0.075$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.075,0,1)".And we see that $z_{\alpha/2}=1.440$

Now we have everything in order to replace into formula (1):

$7.3-1.440\frac{1.2}{\sqrt{830}}=7.240$

$7.3+1.440\frac{1.2}{\sqrt{830}}=7.360$

So on this case the 85% confidence interval would be given by (7.2;7.4)

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