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3 years ago

6

Dexter drove 546 miles on one tank of gasoline. His car’s gas tank holds 15 gallons of gas. Find the average number of miles he

drove per gallon.

1 answer:

AlexFokin [52]3 years ago

4 0

546 mil / 15 gal = about 36.4 mil per gal

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A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h in meters

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Step-by-step explanation:

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3 years ago

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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

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3 years ago

The odds of rolling a die and getting an even number is 50%. Write out the success set and the sample set to use the definition

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It gets more complicated with a six-sided die. In this case if you roll the die, there are 6 possible outcomes (1, 2, 3, 4, 5 or 6). Can you figure out what the theoretical probability for each number is? It is 1/6 or 0.17 (or 17 percent).

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2 years ago

Polygon PQRS, shown in the figure, is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in p

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Based on the above:

The slope of P'Q' is = -3/2

The length of P'Q' is approximately = $\sqrt[3]{13}$

<h3>What is the polygon about?</h3>

The slope of P'Q'

= -6/4 = -3/2

The length of P'Q' =

P'Q' = $\sqrt{6^2 + 4^2}$

= $\sqrt{52}$

= $\sqrt[2]{13}$

Therefore;

P'Q' = $\frac{3}{2}$

P'Q' = $\frac{3}{2}$ x $\sqrt[2]{13}$

= $\sqrt[3]{13}$

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1 year ago

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Answer:

C. 1/4 cup for every cup of water

Step-by-step explanation:

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3 years ago