Ten more than half of a number is eight less than twice the number. What is the number?

1 answer:

8 0

Ten (10) more than (+) half ( $\frac{1}{2}$ ) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).

$\frac{1}{2}$ x + 10 = 2x - 8 Multiply both sides by 2
x + 20 = 4x - 16 Subtract x from both sides
20 = 3x - 16 Add 16 to both sides
36 = 3x Divide both sides by 3
12 = x

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Suppose a baseball team has 14 players on the roster who are not members of the pitching staff. Of those 14 players, assume that

Nadusha1986 [10]

Answer: Our required probability would be 0.70.

Step-by-step explanation:

Since we have given that

Number of players = 14

Number of players have recently taken a performance enhancing drug = 3

Number of players have not recently taken a performance enhancing drug = 14-3=11

Number of members chosen randomly = 5

We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.

P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)

So, P(X≥1)=1-P(X=0)

$P(X\geq 1)=1-^5C_0(\dfrac{11}{14})^5\\\\P(X\geq 1)=1-(0.786)^5\\\\P(X\geq 1)=0.70$

Hence, our required probability would be 0.70.

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3 years ago

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3 years ago

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A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this

Westkost [7]

Answer:

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

$E(X)=np\\\\=250\times 0.96\\\\=240$