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Yanka [14]
3 years ago
12

After a holiday dinner there are 3 1/3 Apple pies left and 2 5/6 pumpkin pie left .

Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0
In all poe ate 2/3 of the left overs
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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in
Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population variance is given as follows:

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

It is provided that:

<em>n</em> = 20

<em>s</em> = 3.9

Confidence level = 95%

⇒ <em>α</em> = 0.05

Compute the critical values of Chi-square:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

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

\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0
3 years ago
Find the slope for a line perpendicular to y= -5/3x+7
aleksley [76]

Answer:

3/5

Step-by-step explanation:

To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line y=-5/3x+7  is m = 3/5. Step 2: Use the slope to find the y-intercept.

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3 years ago
I really need the answer
notka56 [123]

Answer:

2 \frac{4}{16} = 2 \frac{2}{8} = 2 \frac{1}{4} lb.

Step-by-step explanation:

One line represents 1/16 lb.

6 0
3 years ago
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The answer is attached.

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2.25 meters long and 1.8 meters wide. What is the area of the blanket
ahrayia [7]
The area of the blanket is 4.05 sq. meters.
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