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11111nata11111 [884]
3 years ago
6

A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after

22 hours, to the nearest hundredth?
Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

10,962,54

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

y=a(1+r)^x

where

a is the initial value  

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

a=9,100\\r=0.85\%=0.85/100=0.0085

substitute

y=9,100(1+0.0085)^x

y=9,100(1..0085)^x

For x=22 hours

substitute

y=9,100(1..0085)^{22} =10,962,54

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Answer:

The decision rule for rejecting the null hypothesis is t < -1.721

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

H_0: \mu = 410

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

H_0: \mu < 410

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is t_c = -1.721

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We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is t < -1.721

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If 1550 students voted but there were only 2000 eligible voters what percent of students voted
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