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skelet666 [1.2K]

2 years ago

6

A fruit stand has to decide what to charge for their produce. They need $10for 4 apples and 4 oranges. They also need $15 for 6

apples and 6 oranges. We put this information into a system of linear equations.

1 answer:

Nataly [62]2 years ago

4 0

Answer:

Ok

Step-by-step explanation:

Ok

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83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi

arlik [135]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

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

$2.127 \leq \sigma \leq 2.757$

Step-by-step explanation:

Information given

$\bar X=32.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size

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 degrees of freedom given by:

$df=n-1=8-1=7$

The confidence level is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

$\chi^2_{\alpha/2}=104.139$

$\chi^2_{1- \alpha/2}=62.132$

The confidence interval is given by:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

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

$2.127 \leq \sigma \leq 2.757$

5 0

3 years ago

Are 2.7, 3.6, and 4.5 a pythagorean triple

grigory [225]

They are because 2.7 squared + 3.6 squared = 4.5 squared (=20.25)

Pythagoras Theorem is that a squared + b squared = c squared

So the 2 smallest numbers squared will equal the larger one squared if it is a pythagoreom triple

7 0

3 years ago

What’s 28 dived by 6691 showing step by step

bekas [8.4K]

Answer:

28/6691= 0.004185

3 0

3 years ago

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is d

SashulF [63]

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

3 0

3 years ago

Find the area of the circle. Round your answer to the nearest tenth. Use 3.14 or 22 for it mm area: about mm

FromTheMoon [43]

Answer:

254.34mm

Step-by-step explanation:

3.14 * 9^2 = 3.14*81 = 254.34mm

6 0

2 years ago

Read 2 more answers