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erastovalidia [21]
3 years ago
14

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin. Write the ratio of hours spent prac

ticing violin to hours spent playing softball three different ways.
Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Given:

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.

To find:

The ratio of hours spent practicing violin to hours spent playing softball three different ways.

Solution:

We have,

Time spend on Softball = 5 hours

Time spend on Violin = 4 hours

The ratio to hours spent practicing violin to hours spent playing softball is

\text{Required ratio}=\dfrac{\text{Time spend on Violin}}{\text{Time spend on Softball}}

\text{Required ratio}=\dfrac{4}{5}

It can be written as

\text{Required ratio}=4:5

\text{Required ratio}=4\text{ to }5

Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are \dfrac{4}{5}, 4:5 and 4 to 5.

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Simplified form of this expression 5z-8-4z-3z+6
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Answer:

-2z-2

Step-by-step explanation:

5z-8-4z-3z+6

5z-4z-3z-8+6

-2z-2

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The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
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Answer:

The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

Step-by-step explanation:

See the graph attached.

It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.

Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.

So, the dragonfly will travel 528 miles. (Answer)

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3 years ago
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Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
3 years ago
Need help with statistics question please.
ad-work [718]

Answer: Hmm this question was very hard.

Step-by-step explanation:

3 0
3 years ago
1 pts
balu736 [363]

9514 1404 393

Answer:

  $935.11

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year

  A = $850(1 +0.024/2)^(2·4) = $935.11

The amount accumulated will be $935.11 after 4 years.

8 0
3 years ago
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