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Anastasy [175]
2 years ago
12

Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the consta

nt of variation.
Mathematics
1 answer:
Mrac [35]2 years ago
3 0
V = x/t = 4.5 mil / 3 h = 1.5 mph
Since, v = 1.5 mph (or we can say that v is constant), distance and time vary directly and the constant of variation is 1.5 mph.
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scores on the act college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation 6. Wayne's standar
WITCHER [35]

Answer:

His actual score is 15

Step-by-step explanation:

Here, we are interested in calculating Wayne’s actual score on the ACT

when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.

Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.

The formula for the z-score or standard score is given below;

z-score = (x - mean)/SD

where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6

So, substituting these values into the z-score equation, we have;

-0.5 = (x-18)/6

x-18 = 6(-0.5)

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x = 15

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2 years ago
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
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Oxana [17]

Answer:

The answer is 144

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Four penguins would satisfy a polar bear's appetite for 12 hours. A polar bear has a
julsineya [31]

Answer:

0.04%

Step-by-step explanation:

If there are 1000 penguins per square miles, <em>the total number of penguins in a  10 square miles will be 1000*10 = 10,000 penguins/10square miles</em>

Since a polar bear has a territory of 10 square miles, and<em> can only eat four penguins within the 10square miles;</em>

<em />

Percentage of penguins that the polar bear can eat will be expressed as;

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Percentage of penguins that the polar bear can eat = 4/10,000 * 100%

Percentage of penguins that the polar bear can eat = 4/100%

<em>Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%</em>

6 0
2 years ago
What value of n makes the equation true?
In-s [12.5K]

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

4 0
3 years ago
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