<u><em>Answer:</em></u>
The longest bread stick is approximately 16 in
<u><em>Explanation:</em></u>
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
<u>From the above, we can conclude that:</u>
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)
Answer:
Step-by-step explanation:
<em>The question has missing options ; However, the question is still solvable</em>
Given
Direction = 2 units left
Required
Shift the function by 2 units in the x axis
The general format of shifting a function along the x axis (by the left) is as follows
Where c represents the direction;
Since , then
Answer:
(A) Null Hypothesis, :
{means that there is no significant difference in the variances of the amounts spent in the two counties}
Alternate Hypothesis, :
{means that there is a significant difference in the variances of the amounts spent in the two counties}
(B) The F-table gives critical values of 0.359 and 2.781 for (14,17) degrees of freedom for the two-tailed test.
(C) The value of the F-test statistic is 0.611.
(D) We conclude that there is no significant difference in the variances of the amounts spent in the two counties.
Step-by-step explanation:
We are given that a politician wishes to compare the variances of the amount of money spent on road repair in two different counties.
The data are given here below;
County A County B
s1 = $11,596 s2 = $14,837
n1 = 15 n2 = 18
Let = variances of the amounts spent in County A.
= variances of the amounts spent in County B.
(A) So, Null Hypothesis, :
{means that there is no significant difference in the variances of the amounts spent in the two counties}
Alternate Hypothesis, :
{means that there is a significant difference in the variances of the amounts spent in the two counties}
The test statistics that would be used here <u>Two-sample F-test statistics </u>distribution;
T.S. = ~
where, = sample standard deviation for County A = $11,596
= sample standard deviation for County B = $14,837
= sample size for County A = 15
= sample size for County B = 18
(B) Now at 0.05 level of significance, the F-table gives critical values of 0.359 and 2.781 for (14,17) degrees of freedom for the two-tailed test.
(C) So, <u><em>the test statistics</em></u> = ~
= 0.611
The value of the F-test statistic is 0.611.
Now, as we can see that our test statistics lie within the range of critical values of F, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
(D) Therefore, we conclude that there is no significant difference in the variances of the amounts spent in the two counties.