Answer:
y = 2x + 11
Step-by-step explanation:
Parallel means the two lines have the same slope. The slope = 2 because the two is in front of the x. Whatever number is in front of the x is the slope.
So far what you know is
y = 2x + b
The point (-3,5) is what you need to get b.
y = 2x + b
y = 5
x = - 3
5 = -3(2) + b
5 = -6 + b
b = 5 + 6
b = 11
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Equation
y = 2x + 11
Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
<u><em>Note: I'm not sure this is correct o_O
</em></u>
I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:
<em>tInterval 9.68,1.23,125,0.99</em>
It resulted in 9.68 ± 0.287805.
Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.
A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.
Answer:
The area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Step-by-step explanation:
Given that the dog pen for Ruth's dog is 7 feet long and 6 / 1.3 feet wide, while her friend Ralph's dog pen is 14 feet long and 6 / 1.2 feet wide, to determine how many times larger is the area of Ralph's dog pen, the following calculation must be performed:
1/3 = 0.333
1/2 = 0.5
7 x 6.333 = X
44,333 = X
14 x 6.5 = X
91 = X
44,333 = 100
91 = X
91 x 100 / 44.333 = X
9,100 / 44,333 = X
205.26 = X
100 = 1
205.26 = X
205.26 / 100 = X
2.05 = X
Thus, the area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Given that the sample size is 12, thus the degree of freedom = 12 - 1 = 11.
Using technology, the p value of the t statistic, t = 2.028 is 0.9663.