What is 2 5/8 divided by 3/4

Which ordered pairs are on the line with the equation y+3.5=0.75(x-2)? I will mark brainliest. Thanks!

kogti [31]

I think the answer is (7, 5.5)

7 0

3 years ago

A family has an annual income of $34,500. How much is their monthly income?Their monthly income is $ ? .

Juli2301 [7.4K]

Let:

A = Annual income

M = Monthly income

N = Number of months in the year

So, the annual income will be given by the monthly income multiplied by the number of months:

$\begin{gathered} A=N\cdot M \\ 34500=12M \end{gathered}$

Solve for M:

Divide both sides by 12:

$\begin{gathered} \frac{34500}{12}=\frac{12M}{12} \\ 2875=M \\ M=2875 \end{gathered}$

Answer:

$2875

4 0

1 year ago

Jaxon’s start-up business makes a profit of $450 during the first month. However, the company records a profit of -$60 per month

omeli [17]

1st month +450

-60 x 4 months = -240

6th month + 125

Total: 450 - 240 + 125 = $335 profit

7 0

3 years ago

Finding Distance in the Coordinate Plane!

Aleonysh [2.5K]

It is B. the differences are added together

7 0

4 years ago

The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the

Vikki [24]

Answer:

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

Step-by-step explanation:

Assuming the following dataset:

77, 349,417,349, 167 , 225, 265, 360,205

145,335,40,139, 177,108, 163, 202, 22

123,439, 125,135, 86,43, 217,49, 156

119,178, 151, 61, 350, 312, 91, 89,89

We can calculate the sample mean with the followinf formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}= 182.167$

And the sample deviation with:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}=114.05$

The sample size on this case is n =36.

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=182.167$ represent the sample mean

$\mu$ population mean (variable of interest)

s=114.05 represent the sample standard deviation

n=36 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X =182.167$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,35)".And we see that $t_{\alpha/2}=2.03$

Now we have everything in order to replace into formula (1):

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

5 0

3 years ago