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FromTheMoon [43]
3 years ago
5

If m∠ QOS=58, m∠ POR=61, and m∠ POQ=22 what is m∠ ROS

Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

19

Step-by-step explanation:

GIVEN P0R AND P0Q, YOU CAN FIND Q0R, WHICH IS 61-22=39. NOW YOU KNOW Q0S AND Q0R, YOU CAN FIND R0S, WHICH IS 58-39=19

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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
nexus9112 [7]

Answer:

b

Step-by-step explanation:

5 is one of the numbers in 1,2,3,4,5,6,7,8

                                                         ^

                                                         

6 0
3 years ago
A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor
Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 700, \sigma = 50.

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

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

Z = \frac{790 - 700}{50}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

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

Z = \frac{575 - 700}{50}

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
1 year ago
Henry decorates the top of each cupcake with 3 walnuts.If he has 56 walnuts,is that enough to decorate 2 dozen cupcakes?
Lesechka [4]
No, 56 is not enough to decorate 2 dozen cupcakes. If he was to top 2 dozen cupcakes with 3 walnuts then he would need 72 walnuts.

3•24(2dozen)=72
6 0
3 years ago
Equation A: a=5b + 1
lukranit [14]

ANSWER:

a = 11

b = 2

Explaination:

We have two equations:

a = 5b + 1 .....................(1)

a = 3b + 5.....................(2)

Here we use substitution method in order to solve the set of equations.

put a=3b+1 to equation (1)

3b + 5 = 5b + 1

Solve for b

5 = 5b -3b + 1

5-1 =2b

4 = 2b

b = 2

Now put the value of b = 2 into the equation (1) or (2)

a = 5b + 1

a = 5(2) + 1

a = 10 + 1

a = 11

5 0
3 years ago
I need help with this question please
user100 [1]

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

4 0
3 years ago
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