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3 years ago

5

Jordan and her family enter a race around a track. Jordan take 10 minutes to run a lap, her sister 12 minutes and Katie 20 minut

es. If they race together for 60 minutes how many times will they meet at the starting line together during the race

1 answer:

Nutka1998 [239]3 years ago

3 0

They will be finished at 6:56

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4. If Mr. Key can walk 3 miles, at a constant rate, for 57 minutes, how long

ICE Princess25 [194]

95 minutes

He is walking at a constant rate of 19minutes per mile.
If you then multiple 19 minutes time 5 miles you get 95minutes to walk 5miles

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3 years ago

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A cone has a diameter of 4 cm and a height of 11 cm. What is the volume 1 point

anzhelika [568]

Answer: 46.05

Step-by-step explanation:

1/3 * 3.14 * 4 * 11 = 46.05 (rounded to the tenth)

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3 years ago

Find the volume of the cone

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Answer:

V≈628.32 units³

Step-by-step explanation:

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3 years ago

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Lena's engagement ring has a radius of 9 millimeters. What is the ring's circumference? Use 3.14 for

scoray [572]

Answer:

Given - Radius of ring is 9 millimeters

To find - Circumference

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3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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2 years ago

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