Step-by-step explanation:
1.5 mi = 2 and 1/4 min
In 43 minutes:
43 ÷ 2.15 = 20 2.15 = 2 and 1/4 min
Now you have to multiply 1.5 by 20
1.5 x 20 = 30
In 1 hour (60 minutes):
60 ÷ 2.15 = 27.9
Now you have to multiply 1.5 by 27.9
1.5 x 27.9 = 41.85
Hope this was helpful :)
(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.
(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.
Answer:
0.3157
Step-by-step explanation:
Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,
Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own
P(B) = 41%=0.41
A and B are independent
Hence P(both)=
the probability that a person agreed with both propositions
= Probability for both A and B
= P(A) P(B) since A and B are independent
= 0.3157
Answer:
Approximately mMK is 53 degrees
Step-by-step explanation:
Here, we want to find the length of MK
As we can see, we have a right triangle at LNK
so
let us find the angle at L first
9 is adjacent to the angle at L and also, 15 is the hypotenuse of the angle at L
so the trigonometric identity that connects adjacent to the hypotenuse is the cosine
It is the ratio of the adjacent to the hypotenuse
So;
cos L = 9/15
L = arc cos (9/15)
L = 53.13 degree
Approximately, L = 53 degrees
so now, we want to get the arc length MK
We are to use the angle-arc relationship here
Using this; arc length MK is equal to the measure of L at the center which is 53 degrees
C 12 minutes is the correct answer. Hope this helps :)
