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3 years ago

10

The table shows the times of the gold, silver, and bronze medal winners for the men’s 100-meter race (in seconds) for 10 Olympic

Games. Using the data points for 1992 and 2004, what is the BEST interpretation of the slope in context of this problem?

2 answers:

irakobra [83]3 years ago

3 0

Answer:

please share the table so i can answer

galina1969 [7]3 years ago

3 0

Answer:

D

Step-by-

The slope −0.0125 means that for each calendar year, the predicted mean race time for the top three medals decrease by 0.0125 seconds.

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What is the volume of a ball with a diameter of 7 centimeters?

Leviafan [203]

42.88. You might want to wait for another answer jyst to be 100% sure:)

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2 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli

zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when $M = 4, \sigma = 79.5$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$4 = 1.645*\frac{79.5}{\sqrt{n}}$

$4\sqrt{n} = 1.645*79.5$

$\sqrt{n} = \frac{1.645*79.5}{4}$

$(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}$

$n = 1068.92$

Rounding up

We need to sample at least 1069 parents.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to log w (x2-6)4

natka813 [3]

Log w (x^2-6)^4

Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4

Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)

Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)

7 0

3 years ago

Read 2 more answers

What’s the answer for 9x = 72

aleksklad [387]

Answer:8

Step-by-step explanation: Since the opposing way of solving is division, you divide 72 into 9 and you get 8.

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2 years ago