Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
Answer:
Angle A = 97.5º
Step-by-step explanation:
Supplmentary means 2 angles that equal 180º. So we already have 1 angle, so now all we have to do is subtract 82.5 from 180.
180 - 82.5 = 97.5
10×4,000=40,000 because all u do is add an extra zero everything you multiple something by ten
Answer:
For First Solution: 
is the solution of equation y''-y=0.
For 2nd Solution:
is the solution of equation y''-y=0.
Step-by-step explanation:
For First Solution: 
In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

First order derivative:

2nd order Derivative:

Put Them in equation y''-y=0
e^t-e^t=0
0=0
Hence
is the solution of equation y''-y=0.
For 2nd Solution:

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

First order derivative:

2nd order Derivative:

Put Them in equation y''-y=0
cosht-cosht=0
0=0
Hence
is the solution of equation y''-y=0.
Answer:
18 is 45% of 40
Step-by-step explanation: