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sertanlavr [38]
3 years ago
7

Factor the expression using the GCF 2+8

Mathematics
2 answers:
lidiya [134]3 years ago
7 0
2 goes into both so when divided you would get 2(1+4)
Viefleur [7K]3 years ago
3 0
You would get 1+4 because two goes into both numbers. for example:

2 divided by 2= 1 // which gives you the first number. (1)+4

8 divided by 2=4// which gives you the second number. 1+ (4)

hope this helped you!
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Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r
ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                         P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean weight = \frac{\sum X}{n} = 21.88 ounces

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 0.201 ounces

            n = sample of boxes = 12

            \mu = population mean weight

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 90% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.796 < t_1_1 < 1.796) = 0.90  {As the critical value of t at 11 degrees of

                                                  freedom are -1.796 & 1.796 with P = 5%}  

P(-1.796 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.796) = 0.90

P( -1.796 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.796 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.796 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.796 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.796 \times {\frac{s}{\sqrt{n} } } , \bar X+1.796 \times {\frac{s}{\sqrt{n} } } ]

                                        = [ 21.88-1.796 \times {\frac{0.201}{\sqrt{12} } } , 21.88+1.796 \times {\frac{0.201}{\sqrt{12} } } ]

                                        = [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0
3 years ago
What is the volume of the prism below?<br> 5<br> 10<br> 3
Dmitriy789 [7]

Answer:

150

im pretty sure thats right

6 0
2 years ago
Calculate the volume of a sphere with a radius of 10 feet. Round answer to nearest tenth
jasenka [17]

Answer:

10

Step-by-step explanation:

-$($($:#;#

xgsiskdnd

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6 0
2 years ago
Please help me on this
vladimir1956 [14]

Answer:

C and F**

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sally weights 15 7/10 pounds cocoa weights 13 3/5 pounds how much more does sally weigh than cocoa
babunello [35]

Answer:

C. 2 1/10

Step-by-step explanation:

15 7/10-13 3/5= 15 7/10 - 13 6/10=

2 1/10

4 0
3 years ago
Read 2 more answers
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