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3 years ago

Given the diagram above, m∠Z is:

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

z = 120º

Step-by-step explanation:

t + 2t + t + 2t = 360º

60 + 2(60) + 60 + 2(60) = 360

t = 60

2t = z

z = 120º

This is all based on the fact there there are 360º in a quadrilateral.

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Jason's football team lost 6 yards from their starting position and then lost another 5 yards. What number represents a loss of

aivan3 [116]

A loss of 6 yds = - 6
a loss of 5 yds = - 5

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3 years ago

A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?

Korolek [52]

Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:

-12 = 1(6) - c
-12 - 6 = -c
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Thus the equation for the line is y = 1x - 18

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4 years ago

What two numbers multiply to 16 and add to 4?

alukav5142 [94]

You said that (xy) = 16, and (x+y) = 4 .

From the second equation you can get [ x = 4 - y ],
then substitude that for 'x' in the first equation, and
finally, rearrange the first equation to read
 x² - 4x + 16 = 0

Don't even try to factor that quadratic equation. Go straight
to the quadratic formula, and the two solutions you find are ...

 x = 2 + i 2√3
and
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Those are the two number that do what you want.

There are no real numbers that can do it.

7 0

3 years ago

Read 2 more answers

The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of

noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

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

Mean of 10 minutes and a standard deviation of 3 minutes

This means that $\mu = 10, \sigma = 3$

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

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3 years ago

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julia-pushkina [17]

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Step-by-step explanation:

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3 years ago