Total of 10 persons, out of which 6 are women.
So
probability of choosing the first woman = 6/10
probability of choosing the second woman = 5/9
probability of choosing the third woman = 4/8
Since we want all 3 steps to be a success, we need to have success in each of the steps, and the overall probability is given by the multiplication rule:
P(all 3 are women)=6/10*5/9*4/8=120/720=1/6
Answer:
d = 6.1m
n = 7km
Step-by-step explanation:
To find the variables, use tan
⇒ tan = 
finding d:
⇒tan 63 = 
tan of 63 is 1.963
⇒ 1.963 = 
multiply 3.1 on both sides
⇒ 1.963 x 3.1 =
x 3.1
⇒ 6.0853 = d
round to the nearest tenth:
⇒ 6.0853 = 6.1
finding n:
⇒ tan 45 = 
tan of 45 is 1
⇒ 1 = 
multiply 7 on both sides:
⇒ 1 x 7 =
x 7
7 = n
Answer:
171 newspapers.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days
The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.




So 171 newspapers.
Answer:
x = - 2
Step-by-step explanation:
Given
- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )
- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
The midpoint of XY is -0.5