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Assoli18 [71]
3 years ago
8

their are 58 students in a art class. the day the class begins,10.3%of the students cancel. how many students attends art class?

Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

52 students are attending the arts class.

Step-by-step explanation:

Given that

Total number of students in the art class = 58

Percentage of students that cancelled on first day = 10.3%

First of all we have to calculate the number of students that cancelled on the first day

No\ of\ students\ who\ cancelled = 10.3\%\ of\ 58\\= 0.103*58\\=5.974

As the number of students cannot be in decimal number, so rounding off to nearest whole number will given us: 6

6 students cancelled the class. So,

Number of students attending the class are:

= Total\ students - students\ who\ cancelled\\= 58 - 6 = 52

Hence,

52 students are attending the arts class.

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3 years ago
Find the missing length. The triangles are similar.
Marina CMI [18]

Answer:

RK= 13      SK= 12

Step-by-step explanation

First, we find the missing length of RK using the given information: 65-52=13

Then we divide 65 by 13 to get a scale factor: 65/13=5

(To check, we multipuly: 13*5=65)

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3 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

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Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
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  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

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z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
4 years ago
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I think the answer is 6 because 900/150= 6 and 6X150 is 900 :)
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3 years ago
What is the area of the figure?
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5 0
3 years ago
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