What is 360 divided by 12
1 answer:
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Answer:
We conclude that the population average weight of a cereal box is equal to 13 ounces.
Step-by-step explanation:
We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.
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<u><em>Let </em></u><u><em> = population average weight of a cereal box</em></u>
So, Null Hypothesis, :
= 13 ounces {means that the population average weight of a cereal box is equal to 13 ounces}
Alternate Hypothesis, :
13 ounces {means that the population average weight of a cereal box differs from 13 ounces}
The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;
T.S. = ~
where, = sample average weight = 12.85 ounces
= sample standard deviation = 0.75 ounces
n = sample of boxes = 36
So, <u><em>test statistics</em></u> = ~
= -1.20
The value of the test statistics is -1.20.
Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, <u>the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test</u>.
Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.
Answer: 2x + 5y = -5
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope.
The equation of the line given :
2x + 5y = 10
To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10/5
y = -2/5x + 2
This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.
using the formula:
= m (
) to find the equation of the line , we have
y - 1 = -2/5(x -{-5})
y - 1 = -2/5 ( x + 5 )
5y - 5 = -2 ( x + 5 )
5y - 5 = -2x - 10
5y + 2x = -10 + 5
therefore :
2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10