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Roman55 [17]
3 years ago
10

Determine whether this statement is true or false |-3|>|3|

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

False

Step-by-step explanation:

|-3| is equal to |3|, as for |3| thats also equal to |3|

So the statement is false, because they are both equal to each other.

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An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the
NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

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 = 71.9, \sigma = 7.8

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

-0.995 = \frac{X - 71.9}{7.8}

X - 71.9 = -0.995*7.8

X = 64

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

-1.28 = \frac{X - 71.9}{7.8}

X - 71.9 = -1.28*7.8

X = 62

Grades between 62 and 64 result in a D grade.

6 0
3 years ago
An isosceles triangle is such that each of the base angles is twice the vertical angle. find the angles of the triangle​
frosja888 [35]

Answer:

2x + 2x + x =180
x = 36 degree

Step-by-step explanation:

6 0
2 years ago
The table shows the total time it took Samir to read 0,1,2, and 3 pages of the book. The table also list this information as ord
cluponka [151]
Ok, but where is the table???
8 0
4 years ago
The house numbers on the North side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, 1052. What
Gnom [1K]
The series 1022,1032,1042,1052....

a1=a=1022
d=a2-a1=1032-1022=10
n=5 as 5th term

Sn= a+(n-1)d
= 1022+(5-1)10
= 1022+40
= 1062
Next house will have 1062 as number.
3 0
4 years ago
Solve for s s/4 + 15 = 14
Naya [18.7K]

Answer: s = -4

Step-by-step explanation:

s/4 + 15 = 14

We can subtract 15 from both sides:

s/4 = -1

We can multiply both sides by 4:

s = -4

8 0
2 years ago
Read 2 more answers
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