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3 years ago

A car travels at a speed of 85 miles per hour. How far will it travel in 15 minutes?

Mathematics

2 answers:

lesya [120]3 years ago

8 0

21.25 miles. 85/4. 85 mph divided by 4 because 15 is one fourth of an hour. Hope this helps!

Veseljchak [2.6K]3 years ago

8 0

5.6 miles because 85/q5 is a repeating decimal but rounded 5.6

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The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.

galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}$

a) P(No high level of contamination)

We put x = 0, in the formula.

$P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561$

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

$P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916$

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

$p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439$

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0

3 years ago

Help!! I have this for a test and im very confused

skad [1K]

Answer:

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Step-by-step explanation:

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2 years ago

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pashok25 [27]

Answer:

The answer is 68°

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A right angled-triangle IGH.
where, m∠G = 90°

m∠I = ?

We know that

tan θ = Opp ÷ Adj

tan θ = 5 ÷ 2

tan θ = 2.5

tan θ = 68.2 ≈ 68

We know that tan 68 = 2.5

Thus, The m∠I is 68°

<u>-TheUnknownScientist 72</u>

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2 years ago

Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu

Vlad [161]

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

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3 years ago

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Verdich [7]

Answer: THe Second answer is the correct one

Step-by-step explanation:

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2 years ago

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