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3 years ago

Find the proportion of the missing number 7/a = 2/4

Mathematics

1 answer:

masya89 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

7/a = 2/4

2a = 28

a = 14

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The probability that an American CEO can transact business in a foreign language is .20. Twelve American CEOs are chosen at rand

NNADVOKAT [17]

Answer with Step-by-step explanation:

We are given that

The probability that an American CEO can transact business in foreign language=0.20

The probability than an American CEO can not transact business in foreign language= $1-0.20=0.80$

Total number of American CEOs chosen=12

a. The probability that none can transact business in a foreign language= $12C_0(0.20)^0(0.80)^{12}$

Using binomial theorem $nC_r(1-p)^{n-r}p^r$

The probability that none can transact business in a foreign language= $\frac{12!}{0!(12-0)!}(0.8)^{12}=(0.8)^{12}$

b.The probability that at least two can transact business in a foreign language= $1-P(x=0)-p(x=1)=1-((0.8)^{12}+12C_1(0.8)^{11}(0.2))=1-((0.8)^{12}+12(0.8)^{11}}(0.2))$

c.The probability that all 12 can transact business in a foreign language= $12C_{12}(0.8)^0(0.2)^{12}$

The probability that all 12 can transact business in a foreign language= $\frac{12!}{12!}(0.2)^{12}=(0.2)^{12}$

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3 years ago

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Komok [63]

Answer:

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Last year at a certain high school, there were 100 boys on the honor roll and 50 girls on the honor roll. This year, the number

tamaranim1 [39]

Answer:

150

Step-by-step explanation:

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2 years ago

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lianna [129]

Answer:

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Step-by-step explanation:

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3 years ago

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Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determinatio

Anastasy [175]

Answer:

Step-by-step explanation:

The coefficient of determination which is also known as the R² value is expressed as shown;

$R^{2} = \frac{sum\ of \ squares \ of \ regression}{sum\ of \ squares \ of total}$

Sum of square of total (SST)= sum of square of error (SSE )+ sum of square of regression (SSR)

Given SSE = 60 and SSR = 140

SST = 60 + 140

SST = 200

Since R² = SSR/SST

R² = 140/200

R² = 0.7

Hence, the coefficient of determination is 0.7. Note that the coefficient of determination always lies between 0 and 1.

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3 years ago