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3 years ago

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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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 = $\mu = 464$

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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.

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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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