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stealth61 [152]
3 years ago
7

Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictu

res on a page, how many pages will she need to use?
Someone explain how did it in there answer :)
I’ll also mark as you know that
Mathematics
2 answers:
jekas [21]3 years ago
7 0


Explanation:

You make the equation. If she can put 12 on each page then you would multiply 12 by p (pages) and have it equal to 152

152=12p


To solve this, you would divide 12 from both sides

152/12=12.666

Therefore, 12.6=pages but since there aren’t 12.6 pages and you need to keep it a whole number you would round up to 13 because if you kept it at twelve pages you would have those pictures left over.
DiKsa [7]3 years ago
7 0

Answer:

13 pages

Step-by-step explanation:

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A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample.
Zina [86]

Answer and Explanation:

Given : A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample.

The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2.

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2)Compute the value of the appropriate test statistic ?

Solution :

1) n=16 number of sample

The target accuracy is a variance in measurements of 1.2 or less i.e. \sigma_1^2 =1.2

The variance of the measurements in the sample is 2.2 i.e. \sigma_2^2=2.2

According to question,  

We state the null and alternative hypotheses,

Null hypothesis H_o : \text{var}^2 \geq 1.2

Alternative hypothesis H_a : \text{var}^2

We claim the alternative hypothesis.

2) Compute the value of the appropriate test statistic.

Using Chi-square,

\chi =\frac{(n-1)\sigma_2^2}{\sigma_1^2}

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7 0
3 years ago
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SSSSS [86.1K]
<span>The dimensions of the original picture are 12 by 18. Adding the mat of width x around the picture makes the new dimensions of the whole thing (18+2x)(12+2x). Now we need to find x, the width of the mat, in order to then find the new dimensions. We want the largest frame, so we will assume all 80 inches of wood are used.

To find x, notice that the total area - the original picture area = the area of just the wood used. This must equal 80. So let's set up an equation and solve for x.
 
(18 + 2x) (12 + 2x) - 18 * 12 = 80
216 + 36x + 24x + 4x^2 - 216 = 80
4x^2 + 60x = 80
4x^2 + 60x - 80 = 0

Divide by GCF, which is 4, to simplify the equation: x^2 + 15x - 20 = 0 Now this can't be factored, so you must either use the quadratic formula or plug it into your graphing calculator and find the x-intercepts. EIther way the zeros are x = 1.2321, and x = -16.2337 But this is a word problem so we can't have a negative length for x. So the only valid solution for x is 1.2321. This is the width of the mat all around the 12 * 18 picture.
 
Now let's use x to find the new dimensions: Remember that the new dimensions are formed by adding 2x (that is, 2 times x, with x being the width of the mat) to the length and width of the original picture. New width with mat = 12 + 2x = 12 + 2*1.2321 = 14.46 in New length with mat = 18 + 2x = 18 + 2.1.2321 = 20.46 in</span>
4 0
4 years ago
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