Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula:
Putting values and finding z-score
For X=45, z-score is -3
For X=81 the z-score can be found using formula:
Putting values and finding z-score
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Answer:
Rate = (4C)cars/3(H)hrs
Step-by-step explanation:
The expression of the above formula for C fraction of 4 cars and H fraction of 3 hours will be 4(C)/3(H) since he can tune 4 cars every 3 hours
Sixth power of 10 (10^6) equals 10 with five extra zeros (1000000), which is nothing else but million. If you multiply it by 93, you will get the answer - the Sun is approx. 93000000 miles from Earth.
Answer:
1.5375
Step-by-step explanation:
Multiply without the decimal points, then put the decimal point in the final answer
1025 x 15 = 15375
....
10.25 has TWO decimal places
0.15 has TWO decimal places
Therefore, when you multiply with the decimal points (10.25 x 0.15), the answer should have FOUR total decimal places.
So the answer is 1.5375
Answer:
1/8;17/20;But I don't really understand take them out separately or at the same time, the secondary answer is 17/180
Step-by-step explanation:
P1=5/40=1/8,that means there is 5 different balls in forty balls you can take,the situation you take the ball is 40,but the situation you take the different one is five so the possibility you take the different on is 5/40=1/8.
the next answer is just like how we do during the first question