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topjm [15]
3 years ago
15

Mrs. Cratchit went to the market to buy 4.5 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 bill and re

ceived $3.67 as change. She paid $4.62 in taxes for the fruit. What was the cost for one pound of sliced fruit before taxes? (rounded to the nearest hundredth)
Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

Step-by-step explanation: It was succeeded by a breathless pause, as Mrs. Cratchit, looking slowly all along the carving knife, prepared to plunge it into the breast; but when she did, and when the long expected gush of stuffing issued forth, one murmur of delight arose all round the board, and even Tiny Tim, excited by the two young Cratchits, beat on the table with

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Estimate how long it will take to complete the
drek231 [11]

Answer:

14

Step-by-step explanation:

It's just that simple man.

5 0
3 years ago
(X-5)1/2+5=2 what is a possible solution?
Dmitry [639]

Answer:

X=-1

Step-by-step explanation:

(X-5)1/2+5=2

(X-5)1/2=2-5

(X-5)1/2=-3

(X-5)=-3 *2

X-5=-6

X=-1

6 0
3 years ago
We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental
mr Goodwill [35]

Answer:

1.1-2.02\frac{4.9}{\sqrt{50}}=-0.30    

1.1+2.02\frac{4.9}{\sqrt{50}}=2.50    

So on this case the 90% confidence interval would be given by (-0.30;2.50)  

Step-by-step explanation:

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=1.1 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=4.9 represent the sample standard deviation

n=51 represent the sample size  

Solution to the problem

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

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

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

df=n-1=51-1=50

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,50)".And we see that t_{\alpha/2}=2.02

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

1.1-2.02\frac{4.9}{\sqrt{50}}=-0.30    

1.1+2.02\frac{4.9}{\sqrt{50}}=2.50    

So on this case the 90% confidence interval would be given by (-0.30;2.50)    

8 0
3 years ago
If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?
Anon25 [30]

Answer:

the answer would be 48

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
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