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3 years ago

I need help with this question?????

Mathematics

2 answers:

Akimi4 [234]3 years ago

6 0

So figure A’s base is 4 squares and figure B’s base is 8 squares. To get 4 to 8 you multiple the 4 by 2.
The side of figure A is 3 squares and the side of figure B is 6 squares. So to get 3 to 6 you multiply 3 by 2.

Therefore the scale factor from figure A to figure B is 2.

tangare [24]3 years ago

3 0

Its just multiplied by 2

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Answer:

A. 77

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Step-by-step explanation:

According to the problem, computation of given data are as follows,

Population in 2017 = 3,850

Decrease rate = 2% per year

(A) We can calculate number of population decrease from 2017 to 2018 by using following formula,

Number of population decrease = Population in 2017 × Decrease rate

= 3,850 × 2%

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(B). Total population in 2018 = 3,850 - 77

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astra-53 [7]

Answer:

0.5746

Step-by-step explanation:

Lets call X monthly bill chosen. X is a random variable with distribution N(μ=53,σ =15). We first standarize X, lets call W = (X-53)/15, random variable obtained from X by substracting μ and dividing by σ. W is a random variable with distribution N(0,1) and the cummulative function of W, Φ, is tabulated. You can find the values of Φ on the attached file. Using this information we obtain

$P(47 < X < 74) = P(\frac{47-53}{15} < \frac{X-53}{15} < \frac{74-53}{15}) = P(-0.4 < W < 1.4) = \phi(1.4) - \phi(-0.4)$

A standard normal random variable has a symmetric density function, as a result Φ(-0.4) = 1- Φ(0.4) = 1- 0.6554 = 0.3446. Also, Φ(1.4) = 0.9192. We conclude that Φ(1.4)-Φ(-0.4) = 0.9192-0.3446 = 0.5746, that is the probability that the phone bill is between 47 and 74 euros.

Download pdf

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