The measure of angle E will be 90 degrees as well.
Assume EFG = JKL.
If mLJ = 90°, mL K = 26°, and m< L = 64°,
<h3>What is the congruent triangle?</h3>
Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given an image of two congruent triangles.
Since, EFG = JKL
therefore, the corresponding angles will be congruent.
m < J = 90° = m< E = 90
By congruence measure of angle, J will be equal to the measure of angle E.
Hence, The measure of angle E will be 90 degrees as well.
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Answer:
The difference in the sample proportions is not statistically significant at 0.05 significance level.
Step-by-step explanation:
Significance level is missing, it is α=0.05
Let p(public) be the proportion of alumni of the public university who attended at least one class reunion
p(private) be the proportion of alumni of the private university who attended at least one class reunion
Hypotheses are:
: p(public) = p(private)
: p(public) ≠ p(private)
The formula for the test statistic is given as:
z=
where
- p1 is the sample proportion of public university students who attended at least one class reunion (
)
- p2 is the sample proportion of private university students who attended at least one class reunion (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the alumni from public university (1311)
- n2 is the sample size of the students from private university (1038)
Then z=
=-0.207
Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.
Step-by-step explanation:
step one:
given that the sample space is
red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5
the sample size is 5
the probability of picking a colored card at random is
Pr(a colored card)= 1/5
step two:
without replacement, after the first event, the sample size is now 4
then the probability of picking a colored card at random is
Pr(a colored card)= 1/4
10. x = 4,-4
11. x = 2,-2
12. Length = 12 yards, Weight = 6 yards
13. x = -5,2
The answer to this problem is 8 I believe. I hope you do good
