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gulaghasi [49]
3 years ago
11

Point B lies between the points A and C. If AC=7x+11, AB=2x+29, and CB=4x+3, what is the length of segment CB?

Mathematics
1 answer:
qaws [65]3 years ago
4 0

Answer:

The answer to your question is CB = 55

Step-by-step explanation:

AC = 7x + 11

AB = 2x + 29

CB = 4x + 3 = ?

We know that AB = BC, then

                        2x + 29 = 4x + 3

                        2x - 4x = 3 - 29

                             - 2x = - 26

                                 x = -26 / -2

                                x = 13

Find the value of CB

CB = 4x + 3 = 4(13) + 3 = 52 + 3 = 55

AB = 2x + 29 = 2(13) + 29 = 26 + 29 = 55

                           

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The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
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Answer: B

Step-by-step explanation:

6 0
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In a study of 479,908 cell phone​ users, it was found that 213 developed cancer of the brain or nervous system. Assuming that ce
Setler79 [48]

Answer:

The probability of 213 or fewer cases of such cancer in a group of 479,908 people is 0.2776.

Step-by-step explanation:

We are given that assuming that cell phones have no​ effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We, therefore, expect about 222 cases of such cancer in a group of 479,908 people.

Let \hat p = <u><em>sample probability of a person developing cancer of the brain or nervous system.</em></u>

The z-score probability distribution for the sample proportion is given by;

                            Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population probability of a person developing cancer of the brain or nervous system = 0.000462

            n = sample of cell phone​ users = 479,908

Now, the probability of 213 or fewer cases of such cancer in a group of 479,908 people is given by = P(\hat p \leq \frac{213}{479,908} )

     P(\hat p \leq 0.000444) = P(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.000444-0.000462}{\sqrt{\frac{0.000444(1-0.000444)}{479,908} } } ) = P(Z \leq -0.59)

                                 = 1 - P(Z < 0.59) = 1 - 0.7224 = <u>0.2776</u>

The above probability is calculated by looking at the value of x = 0.59 in the z table which has an area of 0.7224.

These results suggest about media reports that cell phones cause cancer of the brain or nervous​ system that there is around 28% chance that 213 or fewer cases of such cancer in a group of 479,908 people can take place.

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Given :-

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