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VikaD [51]
2 years ago
14

Find the value of Q.

Mathematics
1 answer:
Serggg [28]2 years ago
5 0

Answer:

K = 39.5

Step-by-step explanation:

We assume that when all the angles are added together they are equal to 360°, hence:

k + 3k + 87 + 115 = 360 \\  \\ 4k + 202 = 360 \\ 4k = 360 - 202 \\  4k = 158 \\

\frac{4k}{4} =  \frac{158}{4}  \\  \\  k = 39.5

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In a class of 30 students, 12 have a cat and 19 have a dog. There are 6 students who
Anna007 [38]

Answer:

19/30

Step-by-step explanation:

30 students

12 have cat , 19 have dog , 6 no cat or dog

P dog = 19 have dogs/30 students total = .633333...

7 0
3 years ago
Place the following steps in order to complete the square and solve the quadratic equation, x^2 - 6x + 7 = 0.
kow [346]

Answer:

option f

option a

option d

option c

option e

option b

Step-by-step explanation:

we have x^2 - 6x + 7 = 0

f) x^2 - 6x   = -7    

a) x^2 - 6x + 9 = -7+9

d) (x-3)^2=2

c)\sqrt{(x-3)^{2}} = +-\sqrt{2}

e) x-3=+-\sqrt{2}

b) x=3+-\sqrt{2}

4 0
3 years ago
Read 2 more answers
After working for 25 hours, Larry made $375. After working for 40 hours, Kyle made $560. Who is paid the better rate? Explain ho
Juliette [100K]

Answer:

Larry.

Step-by-step explanation:

For Larry, do 375/25 = 15. He is getting paid $15 an hour.

For Kyle, you do 560/40 = 14. He is getting paid $14 an hour.

$15 is greater than $14 an hour, so Larry is getting paid at a better rate.

6 0
3 years ago
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal
Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The other parameters are given as follows:

\overline{x} = 111000, \sigma = 36730, n = 36

Hence, the lower bound of the interval is:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Is 1/4 the answer to this what ratio forms a porportion with 8/36
Flauer [41]
I don't think so. 1/4 and 8/36. 1 times 8 is 8 but 4 times eight is 32 so it would be 8/32.
8 0
3 years ago
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