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trapecia [35]
3 years ago
14

Jayden makes a 5-sided spinner, numbered from 1 to 5. He records the number of times he scores a 3 from different numbers of spi

ns. Complete the table to show the relative frequencies of scoring 3. a= b= c=

Mathematics
1 answer:
notka56 [123]3 years ago
4 0

Answer:

a = 2/5 = 0.4

b = 9/25 = 0.36

c = 19/50 = 0.38

Step-by-step explanation:

relative frequency = (number of desired results)/(total number of possible results)

a = 4/10 = 2/5 = 0.4

b = 18/50 = 9/25 = 0.36

c = 76/200 = 19/50 = 0.38

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Find the sine of angle S. Reduce the answer to the lowest terms.
NeX [460]

Answer:

\sin e\text{ S = }\frac{3}{5}

Explanation:

Here, we want to get the value of sine S

The sine of an angle is the ratio of the opposite side to the hypotenuse side

The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10

The opposite is the side that faces the angle which is 6

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\frac{6}{10}\text{ = }\frac{3}{5}

8 0
8 months ago
A password contains three digits, such as 175. How many different passwords can be formed?
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4 0
3 years ago
Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i
telo118 [61]

Answer:

Step-by-step explanation:

a. The hypothesis of testing are

Null Hypothesis, H0: The health insurance coverage is independent of the size of the company.

Alternative hypothesis, H1: The health insurance coverage is not independent of the size of the company

The test statistics is calculated as

X² =  <u>∑(Ei - Oi)²</u>  ≅X²(r-1)(c-1)

        i      Ei

where Oi's are the observed values and Ei's are the expected values,

E= <u>row total × column total</u>

            total

The expected values are

        Sizeof the Company  

Health Insurance    Small   Medium Large Total

Yes                             42     63          84           189

No                              8             12          16           36

Total                      50    75                  100           225

Therefore, the test statistics is

X² =∑ (<u>Ei -Oi)² </u>=6.94 ≅  x²₂

      i       Ei

The critical value is found to be 5.99. Since test statistics > critical value, we reject H0 and conclude that the health insurance coverage is not independent of the size of the company.

The associated p-value is 0.031 (<0.05).

b. Percentage of employees lacking health insurance coverage is

Small 14/50 x 100 = 28%

Medium 10/75 x 100 = 13%

Large 12/100 x 100 = 12%

Hence depending on the above percentage, we can support the claim that the employees of small companies are more likely to lack health insurance coverage.

8 0
3 years ago
You spend $22 on a game, receive $60 for painting a fence, and give $15 to your friend. You have $62 left. How much money did yo
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Answer:

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Step-by-step explanation:

$62 = t - $22 + $60 - $15

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