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OLga [1]
3 years ago
10

Find the value of x in the triangle (not drawn to scale.)

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Your answer would be 29

Why?

Because that is a right angle. They always have to be 90° so 90-61=29

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
Andrew [12]

Answer:

120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.

Step-by-step explanation:

5 0
3 years ago
Write the sentence as an equation.
bearhunter [10]

The solution to a given word problem by writing it as an equation is k = 253/232

<h3>Expressing word problems in mathematical forms:</h3>

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

  • 253 = 232 × k
  • 253 = 232k

Making k the subject of the equation, we have:

k = 253/232

Learn more about expressing word problems here:

brainly.com/question/10556265

#SPJ1

5 0
2 years ago
A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

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 problem, we have that:

\mu = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

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

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

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

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0
3 years ago
Can somebody help me find the slope of this problem ??
andreev551 [17]

Answer:

The slope is 3/4

Please correct me if I am wrong please and thank you

Step-by-step explanation:

I use the slope formula \frac{y2-y1}{x2-x1}

Plug in (2,1) and (-2,-2)

1-(-2)/2-2

= 3/4

7 0
2 years ago
Read 2 more answers
At summer camp there are 52 boys, 47 girls,and 18 adults.How many people are at summer camp?
Natasha2012 [34]

114 people I believe

8 0
3 years ago
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