Which of the following proportions can be used to find the value of n?
2 answers:
Answer:
B)
Step-by-step explanation:
The side "ML" is similar to the side "IH", as shown by their position and the small line going through them. If we create a ratio of these sides since they are similar, we get 15/5.
The format of this ratio is (side on big trapezoid)/(side on small trapezoid).
Now, we substitute "GH" in the correct spot now that we have established the format for our ratios.
since "GH" is on the small trapezoid, we get a ratio of
(side on big trapezoid)/11.
So if we set both of our ratios equal to one another now, this is what we get:
which matches choice B.
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Answer:
The P-value is 0.0166.
Step-by-step explanation:
<u>The complete question is:</u> In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z 2.13)
= 1 - 0.9834 = <u>0.0166</u>
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
- If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
- If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.
Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.