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3 years ago

Please select the best answer from the choices provided T F

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Answer:

Yes, the answer is true.

Step-by-step explanation:

We can solve the inequality by putting x=3 and y=8 in the given inequality. This is because ordered paired inequalities are denoted by (x,y). The given inequality possess the symbols for an absolute value of a number. On a number line the absolute value is the distance between the number and zero.

So, now solving the inequality, we have:

y<|x+2|+7

8<|3+2|+7

8<|5|+7

8<5+7

8<12

Hence, the statement is true - the ordered pair (3,8) is a solution to y<|x+2|+7

AnnZ [28]3 years ago

4 0

Answer:

Step-by-step explanation:

When it comes to ordered pairs in inequalities, they are represented with the (x,y) values. So the ordered pair (3,8) can be substituted in the inequality $y$ .

In this inequality we have the symbols for an absolute value of a number. The absolute value of any integer will always be a positive integer as it is just the number of spaces from the origin (0,0).

So we can simply substitute the values of x and y like so:

$y$ .

$8$ .

This leaves us with 8<12 for the inequality making the statement true.

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3 years ago

Find the value of x.

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Answer:

Step-by-step explanation:

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2 years ago

The shirt costs twice as much as the shoes. Together, they cost more than $200. What is the minimum cost for each item? (Round t

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3 years ago

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A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w

DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

$\mu = 21.5, \sigma = 4.7$

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

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

$1.175 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.175*4.7$

$X = 27.0225$

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

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

$1.04 = \frac{X - 21.5}{4.7}$

$X - 21.5 = 1.04*4.7$

$X = 26.388$

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0

4 years ago

Can someone plz help me I really need it ASAP help me with this problem !

Lana71 [14]

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

$-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x$

8 0

3 years ago

Read 2 more answers