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zimovet [89]
3 years ago
10

Blake has entered a mountain bike competition at Starvation Flats Bike Park. Placement in the competition is determined by a per

son's average speed over four laps around the course. The course itself is of a mile long. If Blake completed the four laps in 12 minutes, then his average speed around the track is
miles per hour.
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
Distance = rate * time, or rewritten rate = distance / time ---> r = d/t 
<span>4 laps, 1 mile per lap = 4 miles = d </span>
<span>12 minutes = 1/5 of hour (12 min/60 min = 1/5) = t </span>

<span>r = 4/(1/5) mph </span>
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Find the number that is 2/3 of the way from 3/4 to 3 5/12
IRINA_888 [86]

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

3 0
2 years ago
A Florida factory produces fishing reels at a rate of 800 per day, every day. In April, they
Serjik [45]
The factory normally produces 800 reels a day.
They have to cut their production by 1/5, however.
800 * 4/5 = 640 reels a day.

30 days would mean 640 * 30 reels...19200 reels.

This is less than 20,000, so the factory will NOT be able to produce enough reels.
8 0
3 years ago
Read 2 more answers
Isabella puts 100 marbles in a jar and shook the jar. There are 4 colors of marbles. There are 25 of each color. What is the pro
defon

Answer:

Step-by-step explanation:

It would be a 25% chance that she would get her favorite color

5 0
3 years ago
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The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per
kari74 [83]

Answer:

The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute

P(x⁻>96) =0.0359

Step-by-step explanation:

<em>Explanation</em>:-

<em>Given sample size 'n' =10</em>

<em>mean of the Population = 90 words per minute</em>

<em>standard deviation of the Population =10 wpm </em>

<em>we will use formula</em>

<em>                            </em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em>Let X⁻  = 96</em>

                           Z = \frac{96-90 }{\frac{10}{\sqrt{10} } }

                          Z =  1.898

<em>The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute</em>

<em></em>P(X^{-}>x^{-} ) = P(Z > z^{-} )<em></em>

<em>                    = 1- P( Z ≤z⁻)</em>

<em>                    = 1- P(Z<1.898)</em>

                   = 1-(0.5 +A(1.898)

                   = 0.5 - A(1.898)

                   = 0.5 -0.4641 (From Normal table)

                  = 0.0359

<u><em>Final answer</em></u>:-

The probability that a random sample of 10 second grade students from  

                = 0.0359

4 0
3 years ago
For f (x) = 2x+1 and g(x) = x2 - 7, find (fºg)(2).
Art [367]

Answer:

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

3 0
3 years ago
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