The alternative and null hypotheses is given below,
Null Hypothesis, H0: μ1 - μ2 = 0
Alternative Hypothesis, Ha: μ1 - μ2 < 0
Compound Variance is given as,
sp = sqrt( s12n1+s22n2)
sp = sqrt(16973 + 112.3673)
sp = 1.9632
Test statistic of z is,
z = (x1bar - x2bar)/sp
z = (69 - 71)/1.9632
z = -1.02
P-value Approach, P=0.1539 as long as P>= 0.
As P-value >= 0.01, failing to rule out the null hypothesis.
<h3>
What is known as a decimal mark?</h3>
To differentiate between a whole number and its fractional component, a decimal point is used either as a point or a dot. It is also referred to as a decimal mark. The symbol for the decimal point is (.). In daily life, decimals are also frequently used. That whenever a shirt costs $10.50, for instance, the price can be written as 10.50.
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Answer:
Step-by-step explanation:
(z - 5) (z +3)
z*z = z^2
z*3 = 3z
z^-5 = -5z
-5*3 = -15
z^2 + 3z - 5z - 15
Answer:
22.6
Step-by-step explanation:
Answer:
A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?
B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?
C. John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?
Step-by-step explanation:
the toll lane charges $0.25 fixed plus $0.75 per mile driven: fee = $0.25 + $0.75miles
a) Frank ⇒ $0.25 + (8 x $0.75) = $6.25
b) Susan ⇒ $10 - $0.25 = $9.75 / 0.75 = 13 miles
c) John ⇒ $2.31 x 3 = $6.93 - $0.25 = $6.68 / 0.75 = 8.91 ≈ 9 miles. Each passenger should pay $2.33 because the total toll lane fee is $7.
Right now we have:
5kx + 6 = 7kx
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
Then subtract 5x from each side:
6 = 2x
Lastly, divide each side by 2 to solve for x:
3 = x
Hope this helps!