Answer: mKLJ = 60ᴼ
Step-by-step explanation:
MLO and KLJ are vertical angles, which means their measures are congruent.
Answer: 31
Step-by-step explanation:
Formula to find the sample size is given by :_
, where z*= critical value corresponds to confidence level.
= population standard deviation.
E= Margin of error.
As per given , we have
E=1
We know that critical value corresponding to 95% confidence level = z*=1.96
Then, the required sample size would be :
Hence, the required minimum sample size = 31
<h2>Alex accidentally forgot to stock up on toilet paper before the stay-at-home order. Now he has to buy toilet paper on the black market. Though the price of toilet paper on the black market has mostly stabilized, it still varies from day to day. The daily price of a generic brand 12-pack, X, and the daily price of a generic brand 6-pack, Y, (in rubles) jointly follow a bivariate normal distribution with:
</h2><h2>μx = 2,470, σx = 30, μy = 1,250, σ = 25, p = 0.60.
</h2><h2>(a) What is the probability that 2 (two) 6-packs cost more than 1 (one) 12-pack? (b) To ensure that he will not be without toilet paper ever again, Alex buys 7 (seven) 12-packs and 18 (eighteen) 6-packs. What is the probability that he paid more than 40,000 rubles?
</h2><h2>(c) Suppose that today's price of a 12-pack is 2,460 rubles. What is the probability that a 6-pack costs less than 1,234 rubles today? [1 US dollar is approximately 75 rubles ]</h2>
Involving the second and no higher power of an unknown quantity or variable.
Answer:
96 is the number of original women investors.
Step-by-step explanation:
Let X be the number of young women in the initial group. They raised 480000, so the average payment per person was (480000/X).
When 4 pull out, the new average is (480000/(X-4)). We are told that this new average required the remaining women (X-4) to add another 20000.
The four women therefore had contributed 20000 in total, making their average 20000/4 = 5000 each.
This would have been the same amount contributed by all X women. Thus, we can set the average (480000/X) equal to 5000
(480000/X) = 5000
(480000) = 5000X
(480000)/5000 = X
X = 96
<u><em>The original number of women was 96.</em></u>
===
Check
(96 Women)(5000/Woman) = 480000 CHECKS
(4 Women pull out)*(5000) = 20000 that needs to be added to stay at 480000. CHECKS
