Answer:
The answer to your question is l = 12 and w = 7/2 or 3.5
Step-by-step explanation:
Data
length = l
width = w
Area = 42 yd²
Process
1) Write equations that help to solve this problem
Area = length x width = l x w
Length = 2width + 5 or l = 2w + 5
2) Substitution
42 = lw Equation l
l = 2w + 5 Equation ll
42 = (2w + 5)w Substitute equation ll in l
3.- Expand
42 = 2w² + 5w
2w² + 5w - 42 = 0
Solve the equation by factoring
-Multiply 2 by 42
2 x 42 = 84
-Find the prime factors of 84
84 = 2² 3 7
-Find two numbers that added gives +5 using the prime factors
These numbers are +12 and -7
-Substitute the values in the equation
2w² -7w + 12w - 42
-Factor by grouping
w(2w - 7) + 6(2w - 7)
(2w - 7)(w + 6)
-Find w
2w₁ - 7 = 0 w₂ + 6 = 0
w₁ = 7/2 w₂ = -6 This value is discarted because
there are no negative values
-Find l
l = 2(7/2) + 5
l = 7 + 5
l = 12
Take the variable to be x
4x^3-7
Answer:
Yes
Step-by-step explanation:
Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.
The difference in mean values test gave a p value of 0.32
Confidence level = 95%
Alpha = 1-0.95 = 0.05
Compare p with alpha, here p >alpha
Hence we accept null hypothesis that there is no difference in the means.
Confidence interval method also will yield the same result. i.e. confidence interval for difference of means would definitely contain 0 at 95% conf level.
So answer is yes
7 + 9 *6
7 + 54
61 - final answer
