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mixer [17]
11 months ago
9

8.

Mathematics
1 answer:
Fantom [35]11 months ago
8 0

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

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6 0
3 years ago
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

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.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
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san4es73 [151]
The correct answer is number one
3 0
2 years ago
find the value of cos theta, if sin theta= 1/2; 0 degrees greater than or equal to theta < 90 degrees
vagabundo [1.1K]

Answer:

Step-by-step explanation:

According to the ratios table, if

sin theta = 1/2

Then theta = 30°

Cos theta = cos 30° =root 3 /2

6 0
3 years ago
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An animal shelter spends $1.00 per day to care for each cat and $8.00 per day to care for each dog. Mackenzie noticed that the s
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Answer:

There are 24 cats  at the shelter on Wednesday.

Step-by-step explanation:

Since we have given that

Cost of an animal shelter per day to care for each cat =$1.00

Cost of an animal shelter per day to care for each dog = $4.50

Let number of cats be c

Let number of dogs be d

According to question,

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Put in the second equation :

so, Number of dogs = 25

and

Hence, Number of cats is 24.

Read more on Brainly.com - brainly.com/question/11637006#readmore

7 0
2 years ago
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