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3 years ago

7

The fastest speed recorded for a runner is 27 mph. This is 20%of the fastest speed for a water skier. Find the record for a wate

r skier.

1 answer:

posledela3 years ago

6 0

The answer is 135 mph

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2(x-1) greater than -12

Flauer [41]

2(x-1)>-12
/2 /2
x-1>-6
+1 +1
x>-5

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3 years ago

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1/5 divided 3=1/15 because

Keith_Richards [23]

A number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.

Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)

Example:
5/6 / 1/6
= 5/6*6/1
=30/6
=5

We can apply the same to the question 1/5 / 3.

1/5 / 3
=1/5*1/3
=1/15

I hope this helps! Please comment if you have any questions.

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3 years ago

Jocelyn writes the equation of a line that passes through the point (4,0) and that is perpendicular to the line y= -2X + 1. IF J

raketka [301]

Y = 2x - 8
I used a graphing calculator to figure it out.

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3 years ago

Suppose a pack of candy bars has 4 bars. Each bar weighs 5.88 ounces. How much does the pack weigh?

frutty [35]

The answer is 23.52 the keyword is each so you multiply.

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3 years ago

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Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company

erastovalidia [21]

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, 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.

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

This means that $n = 16$

They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that $p = 0.5$

What is the probability that no more than 3 of the entry forms will include an order?

At most 3 including an order, which is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0$

$P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002$

$P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018$

$P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105$

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

6 0

3 years ago