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RSB [31]
3 years ago
13

La cantidad de horas h que debe dormir una persona joven de n años está dada por la siguiente expresión:

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

Option D doesn't make any sense.

Step-by-step explanation:

D) 7 hours of sleep correspond to an age of 19 years.

That is wrong.

If we use the expression provided

hours = 8 + 0.5*(18 -age)

hours = 8 + 0.5*(18 -19)

hours = 8 + 0.5*(-1)

hours = 7.5

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What is the answer?<br> (2 3/8 - 1/4)x1/8=?
Andrews [41]
2 3/8 - 1/4 = 2 1/8 x 1/8 = 17/64.

To do this, you first need to do the problem in the (). You have to turn 1/4 with a denominator of eight, so the fraction becomes 2/8. 2 3/8 - 2/8 = 2 1/8. Now we have to turn 2 1/8 into an improper fraction by doing whole number x denominator + numerator. 17/8 x 1/8 = 17/64.

7 0
3 years ago
What is domain and range in math
aksik [14]

Answer:

range is the difference between big and small numbers

7 0
3 years ago
What is the slope of x+y=7,x-y=8
slava [35]

Step-by-step explanation:

The slop is M= 1÷x-y-xy

5 0
3 years ago
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
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