Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her l
2 answers:
Answer:
Step-by-step explanation:
Let p be the number of identical packages.
We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.
The total mass of Renna and her load of identical packages is 620 kg.
We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.
We can represent this information in an inequality as:
Therefore, the inequality can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.
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Answer: The answer is
Step-by-step explanation: Given that
and we are to complete the following sentence:
We have the following division algorithm for polynomials
Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.
Applying this rule in the given problem, we have
Thus, the complete sentence is
Answer:
So on this case the 95% confidence interval would be given by (0.2789;3.055)
The 95% confidence interval to judge whether the two indeners result in different measurements is?
Yes the confidence interval not contains the value 0 so we can conclude that the values for Diamond are significantly higher than the values for Steel Ball at 5% of significance.
Step-by-step explanation:
We have the following dataset:
specimen 1 2 3 4 5 6 7 8 9
Steel Ball 51 57 61 70 68 54 65 51 53
Diamond 53 55 63 74 69 56 68 51 56
If we calculate the differences diamond-steel ball we have this datase:
d: 2, -2, 2, 4, 1, 2, 3, 0, 3
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
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".
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".
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that
.
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (0.2789;3.055)
The 95% confidence interval to judge whether the two indeners result in different measurements is?
Yes the confidence interval not contains the value 0 so we can conclude that the values for Diamond are significantly higher than the values for Steel Ball at 5% of significance.
Answer:
The product is represented by Point A: -8.
Step-by-step explanation:
The expression is:
Compute the value of <em>X</em> as follows:
Consider the number line given below.
The value of <em>X</em> is represented by the point A.
Thus, the product is represented by Point A: -8.
