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gizmo_the_mogwai [7]

3 years ago

12

At the beginning of March, a store bought a fancy watch at a cost of $250 and marked it up 20%. At the end of the month, the fan

cy watch had not sold, so the store marked it down 10%. What was the discounted price?

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

$270

Step-by-step explanation:

Price after markup was 1.20($250) = $300

Price after discounting: (1.00 - 0.10)($300) = $270

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How would I solve -x^2 = -36?

MrRissso [65]

<span>Let's solve your equation step-by-step.
-x^2 = -36

</span><span>Step 1: Divide both sides by -1.
</span><span>-x^2/-1 = -36/-1
x^2 = 36

</span><span>Step 2: Take square root.
</span>x=<span>±<span>√<span>36
</span></span></span><span>x=<span><span>6 or </span>x</span></span>=<span>−<span>6
</span></span><span>
Answer: </span><span>x=<span><span>6<span> or </span></span>x</span></span>=<span>−<span>6
</span></span><span>
I hope this helps you! :)

</span>

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3 years ago

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Maurinko [17]

The two numbers are 2 and 15

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2 years ago

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Can yall help me pls?

vlada-n [284]

Figure A maps to figure B with a scale factor of 2/3 -> Every single side of figure B equal to 2/3 of its corresponding side on triangle A.

So, we can find x by taking 10.5 x 2/3 = 7

-> x = 7

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3 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)

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