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3 years ago

The triangle P(1.-4), U(5,0) and N(2, 1) is reflected over the y-axis. What are the coordinates of the new points?

Mathematics

1 answer:

vichka [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Reflection of x axis

1) the new points have the same x coordinates

2) the new point have the opposite y coordinates

P (1;4) ; U (5;0) ; N(2;-1)

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If f(x) = 4x-x², find<br> square root f(3/2)

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Answer:

$\frac{\sqrt{15} }{2}$

Step-by-step explanation:

$\sqrt{f(\frac{3}{2} )$ , substitute $\frac{3}{2}$ to x

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3 years ago

Read 2 more answers

M5_A3. The expected project completion time for the construction of a pressure vessel is 18 monthsand the project variance is 7.

snow_tiger [21]

Answer:

a) 0.3520

b) 0.9884

c) 0.1292

d) 0.1292

e) 0.7648

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have that:

The expected project completion time for the construction of a pressure vessel is 18 months. So $\mu = 18$ .

And the project variance is 7. The standard deviation is the square root of the variance, so $\sigma = \sqrt{7}$ .

a) What is the probability that the project will require at least 19 months?

The pvalue of the zscore of $X = 19$ is the probability that the project will require less than 19 months. So the probability that the project will require at least 19 months is the subtraction of 1 by this pvalue.