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According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
A psychologist is interested in investigating the proportion of depressed
teenagers in a particular city. Using a sample of 40 teenagers, 16 were found
to exhibit symptoms of depression. At a = 0.01, test the claim that more than
35% teenagers who live in the city are depressed.
What is the probability that the 36 tires will have an
average of less than 16,000 miles until the tires begin
to wear out
A new machine is being considered to replace the old machine being used. This new machine was tested for 10 consecutive hours with the following output: 119, 122, 118, 122, 120, 124, 126, 125, 125, and 124. If the average output per hour using the old machine is 120 units, is the management justified in stating that the output per hour can be increased with the new machine? Use a 0.01 level of significance
: Let 𝑓(𝑥, 𝑦) = 𝑥^2 + 𝑦^3 . Find the slope of the line tangent to this surface at the point (-1, 1) and lying in the plane x = -1
Find these values.
a) ⌈ 3/4⌉
b) ⌊ 7/8⌋
c) ⌈−3/4⌉
d) ⌊−7/8⌋
e) ⌈3⌉
f ) ⌊−1⌋
g) ⌊ 1/2 + ⌈ 3/2⌉ ⌋
h) ⌊ 1/2 ⋅ ⌊ 5/2⌋ ⌋
Find the general solution of the DE 3y( x2 - 1) dx (x3 8y – 3x) dy = 0
A study claims tha.t on average, male high school students spend at least 3.39 hours a day playing video games with a standard deviation of 2.05 hours. A random sample of 30 teenagers were surveyed and the results showed that these teenagers spend 4.12 hours a day playing video games.
Solve for the z-score of the sample mean of 4.12 hours
Regular equal half-yearly deposits of R10000 are made into a savings account that earns interest at a rate of 9% p.a starting six months from now and ending three and a half years from now. Thereafter equal quarterly amounts of R2500 are deposited into the same account with the first quarterly deposit made six months after the last deposit of R10000. If the lastquarterlypayment of R2500 is made five years from now then the total accumulated amount in the account, rounded to the nearest cent, is equal to R
find the values for x, y, and z such the matrix below is skew symmetric.
0 x 3
2 y -1
z 1 0
#339914 on Dec 2023