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Aleonysh [2.5K]
3 years ago
14

Max ran 50 meters in 10 seconds. molly ran 30 meters in 5 seconds. who ran faster

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0
To compare their speed (rate), we need to have the same time or same distance to use as a reference.

Matt ran 50 meters per 10 seconds. Molly ran 30 meters per 5 seconds. If she ran for 5 more seconds, she would have gone 30 more meters, for 30 meters per 10 seconds. Thus, Molly went faster.

Alternately, you could calculate their speeds in meters per (one) second and compare. 50 meters per 10 seconds is 5 meters per second, and 30 meters per 5 seconds is 6 meters per second.
Andre45 [30]3 years ago
6 0
Hey there!

Max:

50 divided by 10 = 5 (Meaning that per second, 5 meters were ran)

Molly:

30 divided by 5 = 6 (Meaning that per second, 6 meters were ran)

The number 6 is larger than 5 . . .

6 - 5 = 1

Molly ran faster. She ran 1 meter faster per second.

Hope this helps you.
Have a great day!
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A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inver
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Answer:

Option (B)

Step-by-step explanation:

Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).

From the graph attached,

Domain of f(x) → Set of all real numbers

Range of f(x) → y-values > 0

Domain of f^{-1}(x) → Set of all real numbers

Range of f^{-1}(x) → y < 2

Therefore, domain of both the functions is a set of all real numbers.

Option (B) is the correct option.

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2 years ago
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Julie made five loaves of bread that had 1/4 cup of flour in each loaf. How many cups of flour were used in all?
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Answer:

1 1/4 cups in total

Step-by-step explanation:

1 loaf-1/4 cup

2 loaf- 2/4 cup

3 loaf= 3/4 cup

4 loaf=4/4 cup

5 loafs in total equal: 1 1/4

Hope this helped!

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2 years ago
How many solutions does this problem have <br> Y=-2x -4<br> Y= 3x plus 3
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Answer:

There is one possible solution

Step-by-step explanation:

Here, we want to get the number of solutions

We can proceed to solve the equation

we have two y values so we can directly equate the x parts

-2x - 4 = 3x + 3

3x + 2x = -3-4

5x = -7

x = -7/5

To get y, we substitute

We can only get one value of y too

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The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of
pishuonlain [190]

Answer:

Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

                        T.S.  =  \frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }  ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

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3 years ago
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