Answer && Step-by-step explanation:
Obtain yards by multiplying miles by 1760
== 3520 yards
Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e.
Since ,
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]
Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e.
Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]
∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Answer:
(a) True
(b) False
(c) True
(d) False
(e) False
(f) True
(g) False
(h) True
(i) True
(k) True
Step-by-step explanation:
(a) Two lines parallel to a third line are parallel
True
(b) Two lines perpendicular to a third line are parallel
Only for lines on the same plane
Therefore, false
(c) Two planes parallel to a third plane are parallel
True
(d) Two planes perpendicular to a third plane are parallel
The two planes can be at an angle to each other and so intersect
Therefore, false
(e) Two lines parallel to a plane are parallel
Where the two lines are on a plane parallel to the first plane but the lines are not themselves parallel to each other they intersect
Therefore, false
(f) Two lines perpendicular to a plane are parallel
True
(g) Two planes parallel to a line are parallel
Where the planes are not parallel to each other, they will intersect
Therefore, false
(h) Two planes perpendicular to a line are parallel
True
(i) Two planes either intersect or are parallel
True
(k) A plane and a line either intersect or are parallel
True.
Answer:
The correct option is D.
Step-by-step explanation:
The slope of a line is the change in y with respect to x.
If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.
If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.
If the slope of a line is positive it means the value of y increases as x increases.
Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.
If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.
Therefore the correct option is D.
Answer:
0.087 = 8.7% probability that this person made a day visit.
0.652 = 65.2% probability that this person made a one-night visit.
0.261 = 26.1% probability that this person made a two-night visit.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Made a purchase.
Probability of making a purchase:
10% of 20%(day visit)
30% of 50%(one night)
20% of 30%(two night).
So
How likely is it that this person made a day visit?
Here event B is a day visit.
10% of 20% is the percentage of purchases and day visit. So
So
0.087 = 8.7% probability that this person made a day visit.
A one-night visit?
Event B is a one night visit.
The percentage of both(one night visit and purchase) is 30% of 50%. So
So
0.652 = 65.2% probability that this person made a one-night visit.
A two-night visit?
Event B is a two night visit.
The percentage of both(two night visit and purchase) is 20% of 30%. So
Then
0.261 = 26.1% probability that this person made a two-night visit.