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3 years ago

HELP ME OUT how to I Graph 12 + 8y < -20 on a lumber line

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

Checkout the screenshot below the explanation.

Step-by-step explanation:

1. First, we have to simplify the inequality.

Step 1: Subtract 12 from both sides.

$8y + 12 - 12 < -20 - 12$
$8y < -32$

Step 2: Divide both sides by 8.

$\frac{8y}{8} < \frac{-32}{8}$
$y < -4$

2. Now that we simplified our inequality down to y < -4, that means that all the values of y are less than -4.

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10.

Kay [80]

Answer:

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

$4.535 \leq \sigma^2 \leq 7.602$

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

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

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 are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

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

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

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

$4.535 \leq \sigma^2 \leq 7.602$

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

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

A mallard duck is 56 to 65 cm long if the duck travel 97.8 miles at top speed in 1.5 hours how far did it travel in 1 hour

ra1l [238]

Answer:

They traveled 2.71 in 1 hr

Step-by-step explanation:

97.8 divided by 1.5 then multiply that by 1hr

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2 years ago

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zheka24 [161]

hope you can understand

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2 years ago

What is 17/20,19/20, 0.19, 0.24 in order from greatest to least

oksian1 [2.3K]

0.19,0.24,17/20,19/20

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3 years ago

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Anyone please help me <br><br>solve for x and Y will give brainliest

Vedmedyk [2.9K]

Answer:

x = - 5, y = - 9

Step-by-step explanation:

Given

x + 9i = - 5 - yi

For the 2 sides to be equal then the coefficients of like terms must be equal.

x = - 5 and 9 = - y ⇒ y = - 9

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3 years ago

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