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3 years ago

How do you graph it on a line

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.

Next, since we want x to be smaller, draw an arrow pointing towards all numbers that are smaller. This arrow would point to the left.

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Nick invests $3,500 in an account earning 11% interest compounded annually. Krista invests $4,000 in an account earning 4% inter

Dovator [93]

Krista will have more money in 2 years time than Nick and she will get $14.05 more than Nick. Hope this helps.

7 0

3 years ago

Read 2 more answers

A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of

Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that $\mu = 15.4, \sigma = 3.5$

16 items are chosen at random

This means that $n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875$

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{16.8 - 15.4}{0.875}$

$Z = 1.6$

$Z = 1.6$ has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0

3 years ago

Factor completely 5a2 + b. Prime a(5a + b) b(5a2) ab(5a + 1)

Tatiana [17]

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

6 0

3 years ago

Read 2 more answers

A line that crosses segment at right angles while dividing the segment in half is called

iren [92.7K]

The correct answer is:

A line that crosses segment at right angles while dividing the segment in half is called a perpendicular bisector

Step-by-step explanation:

A bisector is a line that divides a line segment in two equal parts. A perpendicular bisector is a line that is perpendicular to given line segment and passes through the mid-point of the line segment. It can also be said as that the line perpendicular to a line segment that divides the lines in half is called the perpendicular bisector.

The correct answer is:

A line that crosses segment at right angles while dividing the segment in half is called a perpendicular bisector

Keywords: Perpendicular, bisector

Learn more about geometry at:

#LearnwithBrainly

8 0

3 years ago

The LATERAL Surface Area for the shape below is ____________. (assume the bases are the larger faces on the top and bottom.)

Zolol [24]

Answer:

$LA=210\ cm^2$