Answer:
The length is 42 inches and the width is 14 inches
Step-by-step explanation:
You know the width is 1/3 of the length, and the length is basically the longer side of a rectangle. The width is y-4, so multiply using distributive property to get 3y-12.
You now know that the 2y+6 is equal to 3y-12, so you add 12 to both sides using additive property of addition to get 2y+18=3y.
Then you subtract 2y from both sides to get the unit value of y.
Y is equal to 18.
Then you can plug 18 into the y's to get
2(18)+6 which is 36+6 = 42
18-4 = 14
There you go.
The length is the longer side which is 42 inches and the width is 14 inches
Hope this helps!
Answer:
Step-by-step explanation:
Hello!
The objective is to compare the mean rating on the client satisfaction survey of two consultants A and B.
Consultant A
X₁: Rating on the client satisfaction survey given to consultant A
n₁= 16
X[bar]₁= 6.82
S₁= 0.64
Consultant B
X₂: Rating on the client satisfaction survey given to consultant B
n₂= 10
X[bar]₂= 6.25
S₂= 0.75
a. The claim is that consultant A, which is more experienced, has a higher average service rate than consultant B, which has less experience, then the hypotheses are:
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
b. If both variables have a normal distribution and the population's variances are unknown but equal, the statistic for this test is a t-test for independent samples with pooled sample variance.
Sa= 0.68
c. The p-value is the probability of obtaining a value as extreme as the value of the statistic. As the test it is one-tailed and has the same direction (right), symbolically:
P(t₂₄≥2.079)= 1 - P(t₂₄<2.079)= 1 - 0.9758= 0.0242
d. The p-value:0.0242 is less than α:0.05, then the decision is to reject the null hypothesis.
Using a significance level of 5%, there is significant evidence to say that the average service rate of consultant A is higher than the average service rate of consultant B.
I hope this helps!
Answer:
8
Step-by-step explanation:
what is y = 3/5x - 1 as an ordered pair?
Answer:
Step-by-step explanation:
4/3 cannot be simplified further
6/8 can be simplified by diving the numerator and denominator by 2=3/4
4/3 is not equal to 3/4
Therefore they are not equivalent
A(1) = -6 +(1 -1)*(1/5) = -6
A(4) = -6 +(4 -1)*(1/5) = -5 2/5
A(10) = -6 +(10 -1)*(1/5) = -4 1/5