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3 years ago

When 2 times a number is increased by 9 the answer is the same as when 30 is decreased by the number

Mathematics

2 answers:

galben [10]3 years ago

8 0

Answer:

(2*n)+9=n-30

Step-by-step explanation:

I'm not sure but I think that is the equation

Oduvanchick [21]3 years ago

4 0

Answer:

The number is 7.

Step-by-step explanation:

Write out the equation.

2x+9=30-x

Move the variable, x, so both variables are on one side of the equation.

2x+9=30-x

+x +x

Subtract 9 on both sides to combine like terms.

3x+9=30

-9 -9

Divide by 3 on both sides to isolate the variable.

3x=21

3x/3=21/3

x=7

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3 years ago

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Jodi built a rectangular sandbox for her daughter. The sandboxmeasures6 feet by 5feet by 1.2 feet. Jodi purchases 20cubic feet o

Mamont248 [21]

For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.

The volume of the prism is given by:

$V = w * l * h$

Where,

w: width
l: length
h: height

Therefore, replacing values we have:

$V = 6 * 5 * 1.2\\V = 36 ft ^ 3$

We observed that:

$36 ft ^ 3> 20 ft ^ 3$

Therefore, the sandbox is not completely filled.

Answer:

the sandbox will hold $36 ft ^ 3$ of sand

Jodi purchase is not enough sand to fill the sandbox to the top.

$36 ft ^ 3> 20 ft ^ 3$

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3 years ago

The u.s. department of health and human services collected sample data for 772 males between the ages of 18 and 24. that sample

soldier1979 [14.2K]

The 99% confidence interval for the true mean is given by:

$\bar{x}\pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

where:

$\bar{x}$ is the sample mean = 69.7
$\sigma$ is the standard deviation = 2.8
$z_{\alpha/2}$ is the test statistics = 2.58 for for 99% confidentce interval.
n is the sample size = 772.

Therefore, the 99% confidence interval is:

$69.7\pm2.58\left( \frac{2.8}{\sqrt{772}} \right)=69.7\pm2.58(0.1008) \\ \\ =69.7-0.26\leq\mu\leq69.7+0.26 \\ \\ =69.44\leq\mu\leq69.96$

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2 years ago

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