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zheka24 [161]
3 years ago
7

5 points

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

(0, 5000)

The value of the account at the start of the year is 5000

Step-by-step explanation:

Given the equation that represents the  value, y, of one account that was left inactive for a period of x years as;

y = 5000(0.98)^x

The y-intercept of the equation occurs at x = 0

Substitute x = 0 into the expression

y = 5000(0.98)^0

y = 5000(1) (any value raise to power of zero is 1)

y = 5000

Hence the y intercept is (0, 5000)

This means that the value of the account at the start of the year is 5000

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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6
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Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = \mu = 464

Standard deviation =\sigma = 6

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

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A parachute speed during a free fall reaches117 miles per hour What is the speed in feet per second At the speed how many feet w
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Answer:

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Step-by-step explanation:

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