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3 years ago

Which value of x makes this inequality true? X + 9 < 4x

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

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Give your answer as a compound inequality with reduced, proper or improper fractions.

GenaCL600 [577]

Answer:

C is Figure 1 and 4 and D is 1 and 2

Step-by-step explanation:

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2 years ago

Read 2 more answers

Two more than the quotient of a number and 5 is 8. use variable w for the unknown number.

KengaRu [80]

Answer:

The answer is that w = 30

Step-by-step explanation:

To find this, we start by modeling the equation.

w/5 + 2 = 8

We know it looks like this since they say quotient, which means division problem.

w/5 + 2 = 8

w/5 = 6

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3 years ago

How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the

ki77a [65]

Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that $\sigma = 28$

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

$M = z\frac{\sigma}{\sqrt{n}}$

$3.7 = 1.645\frac{28}{\sqrt{n}}$

$3.7\sqrt{n} = 1.645*28$

$\sqrt{n} = \frac{1.645*28}{3.7}$

$(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2$

$n = 154.97$

Rounding up:

155 women must be randomly selected.

4 0

2 years ago

Answer Fast.............

Aleks04 [339]

1and 1/10 is correct

brainliest or nah lol

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3 years ago

anygoal [31]

Where is the picture for the problem?

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2 years ago