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yaroslaw [1]
3 years ago
6

Please helpp!!!!!!!!!!!!!

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

Step-by-step explanation:

when a rotation of 180 °  happens, it switches the (x,y) coordinates from (x,y) to (-x,-y)   .. that's alll... soo for M then, of (3,4) it switches to M ' =  ( -3, -4)   see?

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The average high-school teacher annual salary is $43,000. Let teacher salary be normally distributed with a standard deviation o
Dvinal [7]

Answer:

a) 0.219

b) 0.02

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}

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 = 43000, \sigma = 18000

a. What percent of high school teachers make between $40,000 and $50,000?

This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.

So

X = 50,000

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

Z = \frac{50000 - 43000}{18000}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517.

X = 40,000

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

Z = \frac{40000 - 43000}{18000}

Z = -0.17

Z = -0.17 has a pvalue of 0.4325

So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.

b. What percent of high school teachers make more than $80,000?

This is 1 subtracted by the pvalue of Z when X = 80000. SO

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

Z = \frac{80000 - 43000}{18000}

Z = 2.06

Z = 2.06 has a pvalue of 0.9803.

So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.

6 0
3 years ago
What is <br> 6 3/5<br><br> Write your answer as a mixed number.
galina1969 [7]

Answer:

33/5

Step-by-step explanation:

6 3/5 = 33/5

6 x 5 = 30

30 + 3 = 33

33/5.

4 0
3 years ago
Read 2 more answers
What is the expression for the below sequence (use n)<br><br> -3,-6,-9,-12
polet [3.4K]

Answer:

a_{n} = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

a_{n} = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

6 0
3 years ago
Decrease 1.25 km by 0.6%​
Anna35 [415]

Answer:

124250cm, 1242.5m or 1.2425km

Step-by-step explanation:

0.6% = 6/100

6/100 = 0.006

0.006*1.25 = 0.0075

1.25km = 1250m = 125000cm

0.0075km = 7.5m = 750cm

125000 - 750 = 124250

Therefore:

The answer is 124250cm, 1242.5m or 1.2425km

Sub to oTechz :)

4 0
2 years ago
PLEASE HELP IF YOU KNOW AP STATS OR HAVE TAKEN THIS QUIZ!! THANK U
eimsori [14]

Answer:

For A is Y=7x+64 Thats all i know

Step-by-step explanation:

7 0
3 years ago
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