the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles
1 answer:
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Answer:
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]
Step-by-step explanation:
I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.
In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1
If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)
The values of the cumulative distribution function of W, denoted by , can be found in the attached file. Lets call
. We have
Thus
by looking at the table, we find that y = 1.28, therefore
The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .
Answer:
Man has 9 Nickels and 7 dimes.
Step-by-step explanation:
Let Number of dimes be x
and Number of Nickels be y
As Per given data he has two more nickels than dimes.
As we know that
1 = 100 cent
1 nickel is worth = 5 cents = = 0.05
1 dime is worth = 10 cents = 0 .1
According to given data he has total nickel and dimes
So the equation becomes,
but
Substituting value of x in equation we get
Man has 9 Nickels and 7 dimes.
well, the last part will be with a calculator, but you can simply use the area in π terms.