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2 years ago

Wyatt hiked for 4.7 hours at a rate of 2.9 miles per hour. He determined that he hiked 13.63 miles. Which best explains the

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

Answer:

Wyatt's answer is reasonable because 5x3 is 15, and 15 is close to 13.63.

Step-by-step explanation:

I took it on Edgenuity

o-na [289]2 years ago

4 0

Answer:

5X3 is 15 and 15 is close to 13.63

Step-by-step explanation:

Given

Wyatt hiked 2.9 miles in one hour

He hiked for 4.7 hours.

Distance travelled =speed X time

Distance travelled by Wyatt=2.9 miles/hour x 4.7 hours

=13.63 miles . 15 miles is close to 13.63 miles

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prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^2 + y^2 = 5, i ha

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Answer:

I dont even know

Step-by-step explanation:

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2 years ago

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Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d

goldenfox [79]

Answer:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

Step-by-step explanation:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0

2 years ago

Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t

valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

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2 years ago

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Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds

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Answer:

Yes, but it is not linear. It is exponential : $f(x) = 5\cdot 2^{x-1}$

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

$f(x) = 5\cdot 2^{x-1}$ ,

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2 years ago