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prisoha [69]
3 years ago
10

Find 10 rational number between 6/7 and -5/7 please give me right solution​

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

Step-by-step explanation:

Note that the distance from -5/7 to 6/7 is 6/7 - (-5/7) = 11/7.

So, if you take steps of 1/7 each, there are 10 steps between -5/7  = 11/7.

-4/7, -3/7, -2/7, ..., 5/7

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Sarah's youth group is selling candy bars for a fundraiser. The candy bars cost $1.50 each. To date, they have raised $700. Thei
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1 year ago
The scores on a Psychology exam were normally distributed with a mean of 67 and a standard deviation of 8. Create a normal distr
Trava [24]

Answer:

(a) The percentage of the scores were less than 59% is 16%.

(b) The percentage of the scores were over 83% is 2%.

(c) The number of students who received a score over 75% is 26.

Step-by-step explanation:

Let the random variable <em>X</em> represent the scores on a Psychology exam.

The random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 67 and standard deviation, <em>σ</em> = 8.

Assume that the maximum score is 100.

(a)

Compute the probability of the scores that were less than 59% as follows:

P(X

                =P(Z

*Use a <em>z</em>-table.

Thus, the percentage of the scores were less than 59% is 16%.

(b)

Compute the probability of the scores that were over 83% as follows:

P(X>83)=P(\frac{X-\mu}{\sigma}>\frac{83-67}{8})

                =P(Z>2)\\\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the percentage of the scores were over 83% is 2%.

(c)

It is provided <em>n</em> = 160 students took the exam.

Compute the probability of the scores that were over 75% as follows:

P(X>75)=P(\frac{X-\mu}{\sigma}>\frac{75-67}{8})

                =P(Z>1)\\\\=1-P(Z

The percentage of students who received a score over 75% is 16%.

Compute the number of students who received a score over 75% as follows:

\text{Number of Students}=0.16\times 160=25.6\approx 26

Thus, the number of students who received a score over 75% is 26.

5 0
3 years ago
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