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Nady [450]
2 years ago
7

What is the explicit formula for this sequence? -7, -3, 1, 5, ...

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Hello,

<u>What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?</u>

Aₙ₊₁ = Aₙ + 4 and A₀ = -7

⇒ Aₙ = A₀ + nr = -7 + 4n

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What is the area of a triangle with a base of 27 mm and a height of 10 mm?
nexus9112 [7]

Answer:

area of triangle = 135 mm²

Step-by-step explanation:

Area of a triangle = 1/2 × b × h

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Area of a triangle = 135 mm²

5 0
4 years ago
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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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3 years ago
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