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vova2212 [387]
4 years ago
15

A baker bought 88.9 ounces of coconut. The next day, she used 7.4 ounces of it to make coconut frosting. How much coconut does t

he baker have left over? ​ ounces
Mathematics
1 answer:
shepuryov [24]4 years ago
4 0

Answer:

81.5 = 82 if ur problem said round it out 82 if not put 81.5

Step-by-step explanation:

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The ages of a random sample of five university professors are 39, 54, 61, 72, and 59. Using this information, find a 99% confide
blsea [12.9K]

Answer:

38.898 \leq \sigma^2 \leq 2792.356

Now we just take square root on both sides of the interval and we got:

6.237 \leq \sigma \leq 52.843

Step-by-step explanation:

Data given and notation

34,59,61,71,59

We can calculate the sample standard deviation with the following formula:

s^2= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

s= \sqrt{s^2}

s=12.021 represent the sample standard deviation

\bar x represent the sample mean

n=5 the sample size

Confidence=99% or 0.99

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 .

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=5-1=4

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.005,4)" "=CHISQ.INV(1-0.005,4)". so for this case the critical values are:

\chi^2_{\alpha/2}=14.860

\chi^2_{1- \alpha/2}=0.207

And replacing into the formula for the interval we got:

\frac{(4)(12.021)^2}{14.860} \leq \sigma^2 \leq \frac{(4)(12.021)^2}{0.207}

38.898 \leq \sigma^2 \leq 2792.356

Now we just take square root on both sides of the interval and we got:

6.237 \leq \sigma \leq 52.843

3 0
3 years ago
Read 2 more answers
If tom had 500$ kerana had 400$ what will be the total
MissTica

Answer: 900$

Step-by-step explanation:

5 0
2 years ago
The graph below shows the solution to which system of inequalities?
ioda

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

y \geqslant 2

The slanted line, y=x is dashed and shaded below, so it represents y<x.

5 0
2 years ago
The coordinates of the vertices of △RST are R(−3, −1) , S(−1, −1) , and T(−4, −5) . The coordinates of the vertices of △R′S′T′ a
ASHA 777 [7]

You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).

1. Apply the rotation of 90° counterclockwise about the origin that has a rule:

(x,y)→(-y,x).

Then

  • R(-3,-1)→R''(1,-3),
  • S(-1,-1)→S''(1,-1),
  • T(-4,-5)→T''(5,-4).

2. Second transformation is translation 1 unite up with a rule:

(x,y)→(x,y+1).

So

  • R''(1,-3)→R'(1,-2);
  • S''(1,-1)→S'(1,0);
  • T''(5,-4)→T'(5,-3).

As you can see these points are exactly those from the task condition.

Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up

7 0
4 years ago
Help me out with this ​
zmey [24]

Answer:

17x6=102/2=51 rounded is 50-x=30

Step-by-step explanation:

8 0
2 years ago
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