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dexar [7]
3 years ago
7

Jamie picks out of blouse to purchase. it is on sale for 25% off plus she has a $10 off coupon. she pays $23 for the blouse. det

ermine the original price​
Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

It originally costs $44

Step-by-step explanation:

To find the original price, first we add the $10 back on to the price.

$23 + $10 = $33

Now that we have this, we need to find out how much it was before the markdown. Since she paid 75% of the original price (25% less than the original), we can divide by that percentage.

$33/75% = $44

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Write the equation of the line through (6,4) that is parallel to the line whose equation is y= 1/2 x+7. Show all work below and
soldier1979 [14.2K]

Answer:

\displaystyle y = \frac{1}{2}x + 1

Step-by-step explanation:

4 = ½[6] + b

3

\displaystyle 1 = b \\ \\ y = \frac{1}{2}x + 1

I am joyous to assist you anytime.

5 0
3 years ago
A machine worked for 5 hours and used 4 kilowats if electricity. The machine used ------ of a kilowatt each hour it worked.
slega [8]

Answer:

0.8 kilowatt/hour

Step-by-step explanation:

divide 4/5, gives you .

8 0
3 years ago
(3x + 4) (x-2) answer
Otrada [13]
3x^2+-8

This answer for (3x+4) (x-2)
7 0
3 years ago
The following data were collected from 12 rain gauges in a park. Build a 95% CI for the mean rainfall at the park.
dybincka [34]

Answer:

Critical values:t_{\alpha/2}=-2.201 t_{1-\alpha/2}=2.201

95% confidence interval would be given by (3.646;4.472)

Step-by-step explanation:

1) 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".

The data is:

4.65 3.89 2.73 4.35 3.80 4.86 4.33 4.37 4.76 4.05 3.05 3.87

2) Compute the sample mean and sample standard deviation.

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}

=AVERAGE(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)

On this case the average is \bar X= 4.059

=STDEV.S(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)

The sample standard deviation obtained was s=0.6503

3) Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =12 <30 and on this case we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. The degrees of freedom are given by:

df=n-1=12-1=11

We can find the critical values in excel using the following formulas:

"=T.INV(0.025,11)" for t_{\alpha/2}=-2.201

"=T.INV(1-0.025,11)" for t_{1-\alpha/2}=2.201

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

And we can use Excel to calculate the limits for the interval

Lower interval : "=4.059 -2.201*(0.6503/SQRT(12))" =3.646

Upper interval :  "=4.059 +2.201*(0.6503/SQRT(12))" =4.472

So the 95% confidence interval would be given by (3.646;4.472)

8 0
3 years ago
60 is what percent of 48?
Yakvenalex [24]

Answer:

80%

Inverted = 125%

Step-by-step explanation:

Simplify the fraction to the most simpliest number, which is 4/5. 4/5 = 80%.

If it’s inverted (as in 60/48), the most simpliest number is 5/4. 5/4 = 125%.

7 0
3 years ago
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