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Snowcat [4.5K]
2 years ago
5

What is the average speed of a runner if he ran 2 1/3 of a mile in 20 minutes?

Mathematics
2 answers:
lesya [120]2 years ago
7 0
7 MPH because 2 1/3
in 20 minutes. So you multiply 20 by 3 you get 60. Then you multiply 2 by 3 you get 6. Then you multiply 1/3 x 3 and you get 1. 6=1=7                    Hope This Helps
dmitriy555 [2]2 years ago
4 0

Answer:

The average speed of the runner is 7 miles per hour.

Step-by-step explanation:

<u>Given</u>:

Distance ran by 2\frac{ 1}{3} miles

Time taken  by the runner = 20 minutes.

<u>To find</u>:

The average speed of a runner=?

<u>Solution</u>:

Now, we know that ,

distance = speed x time

Then, 2\frac{ 1}{3} miles = average speed x 20 minutes  

=> average speed = \frac{(2 \frac{1}{3} miles)}{(20 minutes)}

=> average speed = (\frac{(2 x 3 + 1)}{3} miles)}{(20\times\frac{1}{60} hours)

=> average speed=\frac{(\frac{(6+1)}{3})}{(\frac{20}{60})}

=> average speed = \frac{ (\frac{7}{3})}{(\frac{1}{3})}

=>average speed = \frac{7}{3}\times\frac{3}{1}

=>average speed = 7

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A company administers an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests tha
RoseWind [281]

Answer:

0.94

Step-by-step explanation:

The question after this basically is:

<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>

<em />

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

5 0
2 years ago
Which table can be created using the equation below? –2 + 4x = y A 2-column table with 3 rows. Column 1 is labeled x with entrie
Pachacha [2.7K]

The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

Explanation:

The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.

   x                 y

   5                -18    

   0                -2

   3                 10

First row:

-2 + 4 (5) = y  (5 is the value of x which is first multyply by 4)

-2 + 20 = -18 (value of y in the table)

Second row:

-2 + 4 (0) y

-2 + 0 = -2

Third row:

-2 + 4 (3) = y

-2 + 12 = 10

5 0
2 years ago
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Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.
aleksandrvk [35]
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x    y
1   34
2   28.9
3   24.57
4   20.88
5   17.75

<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
8 0
2 years ago
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the moon is about 240,000 miles from earth .What is the distance written as a whole number multiplied by a power of ten?
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A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ
Eddi Din [679]

Answer:

f(\theta)=3+7sin(4\theta)

Step-by-step explanation:

The sinusoidal function has a general form of:

f(\theta)=Y+Asin(k\theta)

The period is given by:

P=\frac{2\pi}{k}\\\frac{\pi}{2}= \frac{2\pi}{k}\\k=4

Y is the y-intercept, thus y = 3.

At the maximum value:

f(max) = Y+A\\10 = 3+A\\A=7

At the minimum value:

f(min) = Y-A\\-4 = 3-A\\A=7

Therefore, the equation of the function described is:

f(\theta)=3+7sin(4\theta)

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