Substitution method can be applied in four steps
Step 1:
Solve one of the equations for either <span>x = </span>or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
hope this helps you!
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
Answer:
10 gallons of gas.
Step-by-step explanation:
250/9 = how many miles 1 gallon of gas will take
250/9 = 27.78
1 gallon of gas = 27.78 miles
275/27.78 = 9.90 gallons
9.90 gallons round up to 10 gallons
Therefore, Trey would need 10 gallons of gas to drive 275 miles.
