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3 years ago

Solve the equation graphically by finding intersections. |2x+1|=17 X=

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

X equals 8, because you multiply 2 times 8 then add 1

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Evaluate the expression (2x + y) - z when x= 3, y = 4, z =5

Lapatulllka [165]

Answer:

Step-by-step explanation:

(2x + y) - z

Let x=3 y=4 and z=5

2*3 +4 -5

Multiply and divide first

6 +4 -5

Then add and subtract

10-5

5 0

3 years ago

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th

Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

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:

$\mu = 550, \sigma = 100$

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

$1.28 = \frac{X - 550}{100}$

$X - 550 = 100*1.28$

$X = 678$

The value that represents the 90th percentile of scores is 678.

4 0

3 years ago

What is the measure of angle D? A. 75° B. 80° C. 95° D. 110°

lana66690 [7]

Answer:

110%

Explanation:

8 0

3 years ago

2 water taps A B fill a tank in 12 hrs. Tap A takes 10 hrs less than tap B to till tank separately. Find time taken by tap B to

Hatshy [7]

Answer:

11 hours

Step-by-step explanation:

Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:

a + b = 12 (A and B fill a tank in 12 hours)

a = b - 10 (tap A takes 10 hours less than tap B)

Substitute 'b - 10' for 'a' in the first equation:

b - 10 + b = 12

Combine like terms: 2b - 10 = 12

Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22

Divide by 2: 2b/2 = 22/2

Solve for b: b = 11 hours

5 0

4 years ago

there are 3 lines of people waiting to enter a museum each line has 12 people 4 people decide to leave how many people remain in

kumpel [21]

32. (12×3)-4=32. I really hope that helps.

3 0

4 years ago

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