After 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sloth's speed in feet per minute

1 answer:

3 0

Hello!

So 4/4 - 3/4 = 1/4 (a quarter). So we have to find a quarter of 3/8 and add it to 3/8. First of all, we have to convert 1/4 to a percentage. The answer is 25%. 3/8 as a decimal is 0.375. 25% of 0.375 = (0.25 x 0.375 =) 0.09375.
0.09375 + 0.375 = 0.46875.
Now, we have to convert 0.46875 back into a fraction.

So the answer is 5/64.

Have a great day! :)

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What is the propibility of getting a pizza with plain crust

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50%

Step-by-step explanation:

As you can see there is only two options for crust, sesame crust, and plain crust. 100/2 = 50 so the probability of getting a plain crust pizza would be 50%

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The population of turtles is doubling every 3 months. If there are 400 turtles now, how many will there

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First we need to know how many months is 2 years. To answer that we multiply the number of months in a year by 2 and get 48 months.

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So population of 400 will get <u>doubled</u> 16 times in the following <u>two</u> years.

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The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.