At a restaurant, a trash can’s opening is rectangular and measures 7 inches by 9 inches. The restaurant serves food on trays tha
1 answer:
Answer:
<em>I agree it won't fit, but not because of Jada's explanation</em>
Step-by-step explanation:
The trash can's opening measures 7 inches by 9 inches and the trays measure 12 inches by 16 inches. It's obvious that the trays won't fit through the opening if they are tried by the opening's width or height, but what if we try to make the tray go through the diagonal of the opening?
We must then compute the length of the opening's diagonal, if it's longer than any of the tray's dimensions, then it can fall through it.
The diagonal is shorter than the shortest side of the tray, so it's impossible to fall through the opening, but not for the reason explained by Jada. Some calculation should be done before stating it.
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Answer:
The graph that includes points (-3,-3) and (0,3)
Step-by-step explanation:
In the pictures attached, the options are shown.
The equation:
y+3=2(x+3)
has the point-slope form, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
Then, point (0, 3) is on the line.
Answer:
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505
Step-by-step explanation:
Previous concepts
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Assuming the X follows a normal distribution
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505