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Dovator [93]
3 years ago
8

The graph shows the proportional relationship between the minutes Oliver

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Step-by-step explanation:

Given

A proportional relation is given between minutes spend in reading and no of pages

Suppose we choose the point (2,3), It shows that 2 minutes is taken to read three pages.

Similarly, for point (4,6), It shows four minutes is taken to read 6 pages.

In this way, 6 minutes is taken for 12 pages.

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10
lutik1710 [3]

Answer:

D. $0, $20, $90

Step-by-step explanation:

If X represents the amount you win, then possible outcomes for X are $0, $20, and $90.

4 0
3 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 32}{1.5}

X - 32 = -1.645*1.5

X = 29.5

Heights of 29.5 and below could be a problem.

4 0
3 years ago
Which values are solutions 4x greater than or equal to 35
Mamont248 [21]

Answer:

\frac{5}{1/2}, 12, \frac{8}{3/4}, 10

Step-by-step explanation:

4x\geq 35

x \geq \frac{35}{4}

x \geq 8 \frac{3}{4}

so

\frac{5}{1/2} = 10

12

\frac{8}{3/4} = 10.66

and 10

Because saying 5 over 1/2 is saying 5 divided by 1/2 which is the same as saying 5 * 2

8 over 3/4 is 8 divided by 3/4 which is 8 * 1.33.

A fraction is division. If you mean 5 and 1/2 as well as 8 and 3/4 then remove 5 and 1/2 from the answer.

6 0
3 years ago
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0
3 years ago
Help help help help (-_-)
g100num [7]

Answer:

98

Step-by-step explanation:

4 0
3 years ago
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