Answer:
AA' = BB'
Step-by-step explanation:
Because it's being translated in the same plane, the orientation is preserved and the lines will be parallel. That means the length of AA' and BB' are the same.
Answer:
1/6
Step-by-step explanation:
Total number of numbers = 12
Total number of 4 or 6 = 2
P( 4 or 6) = 2/12 = 1/6
Answer: 1/6
Answer:
8.2
Step-by-step explanation:
509.056/62.08
Answer:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
Step-by-step explanation:
Assuming this complete question :"Given a test statistic of t=2.315 of a left-tailed test with n=8, use a 0.05 significance level to test a claim that the mean of a given population is equal to 110.
Find the range of values for the P-value and state the initial conclusion 1 point) 0.05<P-value <0.10; reject the null hypothesis
0.05<P-value <0.10, fail to reject the null hypothesis
0.025 < P-value <0.05; reject the null hypothesis
0.025< P-value<0.05; fail to reject the null hypothesis"
For this case they want to test if the population mean is 110 or no, the systemof hypothesis are:
Null hypothesis:
Alternative hypothesis:
The sample size on this case is n=8, then the degrees of freedom are given by:
The statistic is given by:
For this case the value of the statistic is given
Since we are using a bilateral test the p value would be given by:
And we can use the following excel code to find it:
"=2*(1-T.DIST(2.315;7;TRUE))"
Since the p value is higher than the significance level given we FAIL to reject the null hypothesis. And the best conclusion would be:
0.05<P-value <0.10, fail to reject the null hypothesis
rectangular pyramid
cylinder
triangular prism
Answer:
Rectangular pyramid
Step-by-step explanation:
The three dimensional shapes can be cut through planes perpendicular or parallel to the base.
Here, the shapes are being cut parallel to the base.
Since, cone cylinder and triangular prism are identical when cut by planes that are parallel to the base.
Rectangular pyramid do not have identical cross sections.
Option (b) is correct.
Step-by-step explanation:
5(tanx)^2 -2 +tanx=0
let tanx=y
5y^2 + y-2=0
y=0.5403 or y= -0.7403
tanx=0.5403
x=arctan(0.5403)
x=28.38°
or
tanx=-0.7403
x=arctan(-0.7403)
x=143.49°