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3 years ago

I need help determining how to use the graph or table and write/ match a linear function that relates y to x

Mathematics

1 answer:

BabaBlast [244]3 years ago

6 0

Answer:

y = 3/2x

Step-by-step explanation:

The slope goes up by 3 and to the right by 2, using rise/run slope rule, then the slope is 3/2

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A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 65, \sigma = 8.2$

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

$-1.96 = \frac{X - 65}{8.2}$

$X - 65 = -1.96*8.2$

$X = 48.93$

The score that cuts off the bottom 2.5% is 48.93.

8 0

3 years ago

Read 2 more answers

A 6-pound bag of chocolate candies costs $14.04. What is the unit price?

Ber [7]

Answer:

2.34 per pound is unit price

Step-by-step explanation:

14.04 divided by 6 is 2.34

3 0

3 years ago

In the base 5 number system, which number comes after 444,444?

RSB [31]

I think it’s 555,555

3 0

3 years ago

What is the justification for the first step in proving the formula for factoring the sum of cubes?

Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

$a^3+b^3 = (a+b)(a^2-ab+b^2)$

You have to start from $(a+b)(a^2-ab+b^2)$ and end in a³+b³. On your first step, you need to use the distributive property.

$(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)$

This is equal to

$a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3$

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0

4 years ago

Find the missing side length <br> I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

IrinaVladis [17]

Answer:

Step-by-step explanation:

im sorry if this is wrong im trying to do it but is it ummmm b)

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8 0

3 years ago

I need help determining how to use the graph or table and write/ match a linear function that relates y to x​

I need help determining how to use the graph or table and write/ match a linear function that relates y to x