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Drupady [299]
3 years ago
10

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:

T

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.

8.

8.

8.

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

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PLZ HELP ASAP The numbers of motor vehicle fatalities in the United States for the years 2010 and 2011 are listed in the table b
Nonamiya [84]
To find which measure of variability is greater and which average number of monthly fatalities is higher, you will need to calculate the mean and the mean absolute deviation for both years

The mean will tell us which is generally higher, and the mean absolute deviation will tell us which has a greater variability.

The correct answer is D.

Please see the attached picture for the work.

5 0
3 years ago
Find the value of x.
In-s [12.5K]

Answer:

49

Step-by-step explanation:

angle QPR and angle TPS are alternate angles and their measure is equal to each other:

3x + 1 = 148 subtract 1 from both sides

3x = 147 divide both sides by 3

x = 49

4 0
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
miskamm [114]
$200 because you can't round toe the nearest dollar

4 0
3 years ago
Read 2 more answers
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
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