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ss7ja [257]
3 years ago
7

Rotate P(2, -9) 90° counterclockwise about the origin and identify P'

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Answer:

P' (9 , 2)

Step-by-step explanation:

(x , y) -> (-y , x)

P (2 , -9) -> P' (9 , 2)

Dima020 [189]3 years ago
6 0

(9,2)

90 counterclockwise rotation = (x,y) ==> (-y,x)

Hope that helps!

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Ask Your Teacher The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particula
Georgia [21]

Answer:

The level is L = 0.084

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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}

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

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

By the Central limit theorem

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

2.325 = \frac{X - 0.08}{0.0017}

X - 0.08 = 2.325*0.0017

X = 0.084

The level is L = 0.084

4 0
4 years ago
After substituting, what is the first operation performed when evaluating 5+(9x-3) - 2 for %=5?
algol13

Answer:

Multiplication.

Step-by-step explanation:

Given:

5+(9x-3)-2

Also x=5

Solution:

It has been given that value of x is 5.

So if we substitute the value of x in given equation the we get;

5+(9\times 5 - 3)-2

Now by PEDMAS, The first operation perform will be the terms in parenthesis and in that too the first will be multiplication.

so we get;

5+(45-3)-2

Now again Solving the terms in parenthesis we get;

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Now the next operation will be addition then we get;

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And finally performing subtraction we get;

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Hence The first operation performed in given equation is multiplication.

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