Answer:
56 46 38 2 12
Step-by-step explanation:
Answer:
im not sure but just multiply the length times width and height
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
2 3/8-1 3/10
19/8-13/10
190/80-104/80
86/80
43/40
1 3/40
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.
To find :
1) Does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?
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. 
The variance of the measurements in the sample is 2.2 i.e. 
According to question,
We state the null and alternative hypotheses,
Null hypothesis 
Alternative hypothesis
We claim the alternative hypothesis.
2) Compute the value of the appropriate test statistic.
Using Chi-square,





Therefore, The value of the appropriate test statistic is 27.5.
<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>