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a_sh-v [17]
2 years ago
12

∠A and ∠B form linear pair. If m∠A =(6x-19)° and m∠B=(11x-22)°, find m∠B.

Mathematics
1 answer:
AveGali [126]2 years ago
4 0

Answer: 121°

Step-by-step explanation:

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Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m
valina [46]

Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

\mu=600 represent the population mean for the Graduate Record Exam (GRE)

\sigma=25 represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

X \sim N(600,25)  

Where \mu=600 and \sigma=25

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{550-600}{25}=-2

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

7 0
3 years ago
The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh
konstantin123 [22]

Answer:

33 copies were paperback and 12 were hardcover.

Step-by-step explanation:

Let h represent the number of hardcover copies and p represent the number of paperback copies.

We know that the total number of copies was 45; this gives us the equation

h+p = 45

We know that each hardcover copy is 7 ounces; this gives us the expression 7h.

We also know that each paperback copy is 5 ounces; this gives us the expression 5p.

We know that the total weight was 249 ounces; this gives us the equation

7h+5p = 249

Together we have the system

\left \{ {{h+p=45} \atop {7h+5p=249}} \right.

We will use elimination to solve this.  First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:

\left \{ {{5(h+p=45)} \atop {7h+5p=249}} \right. \\\\\left \{ {{5h+5p=225} \atop {7h+5p=249}} \right.

To eliminate p, we will subtract the equations:

\left \{ {{5h+5p=225} \atop {-(7h+5p=249)}} \right. \\\\-2h=-24

Divide both sides by -2:

-2h/-2 = -24/-2

h = 12

There were 12 hardcover copies sold.

Substitute this into our first equation:

12+p=45

Subtract 12 from each side:

12+p-12 = 45-12

p = 33

There were 33 paperback copies sold.

3 0
3 years ago
Read 2 more answers
10 (2)+1(2)<br><br> how do u solve this problem?
Ilya [14]

Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

4 0
1 year ago
Read 2 more answers
What is the unit rate for You create 18 centerpieces for a party in 6 hours. ​
Snezhnost [94]

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

8 0
3 years ago
Answer = 615.44 `\('-')/`
babymother [125]

Answer:

answer to what? free points?

Step-by-step explanation:

7 0
2 years ago
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