I confirm with the answer that k is the slope of the graph<span>. If the variables x and y vary directly when x = 3 and y = 15, then: a. Write an equation that relates x and y.</span>
Answer:
There is sufficient evidence that fuel economy goal has been attained.
Step-by-step explanation:
The hypothesis :
H0 : μ < 30.2
H1 : μ ≥ 30.2
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 32.12 ; s = 4.83 ; n = 50
Test statistic :
(32.12 - 30.2) ÷ (4.83/√(50))
1.92 ÷ 0.6830651
T = 2.811
Using the Pvalue from test statistic calculator :
Since we used the sample standard deviation, we use the T distribution
df = n - 1 = 50 - 1 = 49
Pvalue(2.811, 49) ; one tailed = 0.00354
At α = 0.05
Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained
Let’s assume that Laura has x$
Jose = 8+ x
Keith= 3x
So the total is equal to
118= x + 8 +x + 3x
118= 5x + 8
Subtract 8 from both sides
110= 5x
Divide 5 by both sides
22$= x which is what Laura has
Jose will have :8+22= 30$
Keith will have :3*22=66$
A whole turn is 360° so to turn 40° clockwise is equivalent to turn 320° counterclockwise.