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3 years ago

Find the cosine of F in the triangle below. Rationalize the denominator, if necessary.

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Answer:

cos∠F = √15/15 ⇒ answer (D)

Step-by-step explanation:

∵ cos∠F = EF/FG

∵ EF = 2

∵ FG = 2√15

∴ cos∠F = 2/2√15 = 1/√15 ⇒ multiply yp and down with √15

∴ cos∠F = √15/15 ⇒ answer (D)

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1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the pro

vredina [299]

Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 12 customers, hence n = 12.

The probability of any of them making a purchase is of p = 0.4.

The probability that more than 7 will make a purchase is given by:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).

Hence:

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

$P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042$

$P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012$

$P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02$

$P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0$

$P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0$

Then:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.

0.056 = 5.6% probability that more than 7 will make a purchase.

More can be learned about the binomial distribution at brainly.com/question/24863377

3 0

2 years ago

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alexgriva [62]

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

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3 years ago

The temperature was -12 degrees in the morning and fell to a low of -27 degrees for the dayWhat was the drop in temperature for

tresset_1 [31]

To answer this question I believe you just need to subtract the two values

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The temperature dropped 15 degrees

hope this helped!

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4 years ago

The sum of three numbers is 83. The first number is 8 more than the second. The third number is 3 times the second. What are the

Brut [27]

Answer:

23, 15 and 45

Step-by-step explanation:

a+b+c = 83

a = b + 8

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(b+8) + b + 3*b = 83

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5*b = 75

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a = b + 8 = 15 + 8 = 23

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Verification

a+b+c = 23 + 15 + 45 = 83; correct

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago