6x+31=1/2 19x-36. What is the value of x

Farmer George is painting 3 chicken coops. He started painting this morning. Now he only has 3/4 of a chicken coop left to paint

mariarad [96]

If Farmer George starts painting in the morning, and only has 3/4 of a chicken coop left to paint:
3-3/4=
12/4-3/4=9/4 painting in the morning
To put it in a mixed number, 2 1/4 (aka 2.25)

3 0

3 years ago

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A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%

bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{14}{\sqrt{60}} = 3.5$

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

6 0

3 years ago

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Emilia bought 9/12 pound of sliced salami at the deli counter.Which of the following decimals did the scale show?

Daniel [21]

To start this problem, what we need to do is try to simplify the fraction into one we might know already. The best way to go about doing this is to see if we can divide the top and bottom by any of the same numbers.

We can divide 9 by 1, 3, and 9
We can divide 12 by 1, 3, 4, and 12

Looking back over the numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.

Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!

8 0

3 years ago

Simplify: -6( 5 3 x + 4)

Free_Kalibri [48]

Answer X = 2

Step-by-step explanation:

-30 + -18 - X + - 24,

+ 30 +30

0 6

-18 -x = -6

DIVIDE

3 -x = -1

BRING THE 3 OVER TO THE NEGATIVE ONE

YOU GET

X = 2

4 0

4 years ago

A population of squirrels on an island has a carrying capacity of 350 individuals. If the maximum rate of increase is 1.0 per in

TiliK225 [7]

Answer:

The population growth rate is 59 squirrels per year.

Step-by-step explanation:

Given:

A population of squirrels on an island has a carrying capacity of 350 individuals. If the maximum rate of increase is 1.0 per individual per year and the population size is 275.

Now, to find the population growth rate.

Carrying capacity ( $K$ ) = 350.

Maximum rate ( $r_{max}$ ) = 1.0 per individual per year.

Population size ( $N$ ) = 275.

Now, to get the population growth rate we put formula:

$\frac{dN}{dT}= r_{max}\frac{K-N}{K}N$

$\frac{dN}{dT}=1.0\times \frac{350-275}{350}\times 275\\\\\frac{dN}{dT}=1.0\times \frac{75}{350}\times 275\\\\\frac{dN}{dT}=1.0\times 0.214\times 275\\\\\frac{dN}{dT}=58.85.$

So, rounding to nearest whole number of the population growth rate is 59 squirrels per year.

Therefore, the population growth rate is 59 squirrels per year.

6 0

3 years ago