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Artyom0805 [142]
3 years ago
15

karim sent a chain email to 10 of his friends. the number of people who got the email increases by a factor of 1.4 every week. w

hich expression gives the number of people who got the email after 6 weeks?
Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

P(6) = 10(1.4)^{6} = 75.2

Step-by-step explanation:

The number of people who receive the email after t weeks can be modeled by the following equation.

P(t) = P(0)r^{t}

In which P(0) is the initial number of poeple who received the email and r is the factor.

Karim sent a chain email to 10 of his friends.

This means that P(0) = 10

The number of people who got the email increases by a factor of 1.4 every week.

This means that r = 1.4

So

P(t) = 10(1.4)^{t}

Which expression gives the number of people who got the email after 6 weeks?

P(6) = 10(1.4)^{6} = 75.2

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Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

H_0: \pi \geq0.25\\\\H_1: \pi

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Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

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