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Helen [10]
3 years ago
7

Find the measure of angle A

Mathematics
2 answers:
elena55 [62]3 years ago
8 0
4x+5+13x+90=180
17x+95=180
17x=85
x=5
ANEK [815]3 years ago
3 0

Answer:

it is 60 of right angle

Step-by-step explanation:

there

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The ratio of boys to girls at the beach cleanup was 7:8. If there were 42 boys, how many girls were there?
lesantik [10]

It would be 48 girls. 42 divided by 7 equals 6 so then you just times 6 by 8 to figure out how many girls there will be.

7 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
aivan3 [116]

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

  ⇒ <em>must set</em> the equations equal to each other

     ⇒ and solve

<u>Let's put that into action</u>

  x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0

  • At this point, to make the whole thing equal zero

          ⇒ either 'x+3' or 'x-3' equals zero

              ⇒ must find 'x' that satisify either equation

                    x-3=0\\x=3\\\\x+3=0\\x=-3

<u>Let's find the corresponding f(x) to each x-value</u>

  f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18

<u>Therefore the solutions are (3,6) and (-3,18)</u>

<u />

<u>Answer: (3,6), (-3,18)</u>

<u></u>

Hope that helps!

#LearnwithBrainly    

3 0
1 year ago
What is the radius of a circle what circumference is 44cm
LuckyWell [14K]

Hello!!

Circumference of a circle = 2πr

and

Given, 2πr = 44cm

So,

πr = 44/2 = 22

r = 22 × 7/22

r = 7cm is the answer.

Stay safe and God bless!

- eli <3

8 0
3 years ago
Read 2 more answers
Question 2 (Essay Worth 10 points)
sashaice [31]
Ryan is correct, the mean is about 8.1.

To find the mean, you have to add up all the values, then divide by the total amount.

For Sample A:
60 x 6 + 90 x 7 + 145 x 8 + 150 x 9 + 55 x 10 = 4050

If you add up all the adults, you have 500.

Dividing 4050 by 500 = 8.1

Sample B will produce a very similar result.
5 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size 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 = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
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