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nata0808 [166]
3 years ago
15

If it takes the Whovenile Delinquents 32 minutes to hike up Mount Crumpit(3000ft), but only 3 minutes to get down, what is the s

peed difference from traveling up the mountain to down in miles/hour?
Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

Difference in speed = 10.28 miles/hour

Step-by-step explanation:

Whovenile Delinquents takes 32 minutes to hike up a mountain and 3 minutes to hike down a mountain.

Distance hiked = 3000 feet

We have to find the speed difference of climbing in both the journeys in miles/hour.

Conversions :

  • 1 mile = 5280 feet

therefore 3000 feet = 0.57 miles

  • 1 hour = 60 minutes

32 minutes = 0.53 hours

3 minutes = 0.05 hours

Speed = \frac{distance travelled}{time}

Speed uphill = \frac{0.57}{0.53}

Speed uphill = 1.08 miles/hour

Speed downhill = \frac{0.57 miles}{0.05}

Speed downhill = 11.36 miles/hour

Difference in speed = 10.28 miles/hour

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Which of the following
Black_prince [1.1K]

Answer:

Step-by-step explanation:

-12 = 3/4n + 8....subtract 8 from both sides

-12 - 8 = 3/4n

-20 = 3/4n.....multiply both sides by 4/3, cancelling the 3/4 on the right

-20 (4/3) = n

-80/3 = n

ur answer is A

4 0
3 years ago
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
drek231 [11]

Answer:

P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153

P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297

P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722

P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811

P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180

And adding the values we got:

P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164

Step-by-step explanation:

Assuming this question: P(X≥14), n=18, p=0.8

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, on this case we now that:  

X \sim Binom(n=18, p=0.8)  

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 we want this probability:

P(X \geq 14) = P(X=14) +P(X=15) +P(X=16)+P(X=17)+P(X=18)

And we can find the individual proabilities using the probability mass function:

P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153

P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297

P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722

P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811

P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180

And adding the values we got:

P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164

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Ava has a credit card that gets her a 5% discount on every purchase and free shipping when used online. The annual percentage ra
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Answer:

1:$10

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Step-by-step explanation:

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Slope = Change in Y / change in x

Slope = (16 - -9) / (-2 - 3)

Slope = 25/-5

Slope = -5

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14 100 000 in scientofic notation
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