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galben [10]
2 years ago
8

Mike and John are the partners in a local bar who invest in a ratio of 7:13, respectively. They started the business with $1.5M.

A) How much money did Mike invest? Answer:$ B) How much money did John invest? Answer:$ C) What percent of the business does Mike own? Answer: % (round to the nearest tenths of a percent)
Mathematics
1 answer:
Mamont248 [21]2 years ago
7 0

Answer:

A) $525,000

B) $975,000

C) 35%

Step-by-step explanation:

To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.

To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.

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Continuing the sequence using

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x₈ = x₆ + x₇ = 8 + 13 = 21

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Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i
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Answer:

Step-by-step explanation:

a. The hypothesis of testing are

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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

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E= <u>row total × column total</u>

            total

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Health Insurance    Small   Medium Large Total

Yes                             42     63          84           189

No                              8             12          16           36

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Therefore, the test statistics is

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

b. Percentage of employees lacking health insurance coverage is

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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.

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