Good for them ! They worked with things that are related to math
and arithmetic, they had some fun, and they learned something.
Much better than just fishing for answers on some boring website.
Answer:the width is 5 1/4 ft
Step-by-step explanation:
Step 1
The area of a rectangle is given as Length x width
Therefore the area of the rectangular board = Length x width
The length of the first board =6ft
The length of the second board =5 1/2 ft (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation
Length x width of board A + Length x width of board B= area of board A and Board B
6w + 5.5w =60.375
Step 2---- Solving the equation
6w + 5.5w =60.375
11.5w = 60.375
w = 60.375/11.5
w= 5.25
Therefore the width of the two boards are 5.25 ft / 5 and 1/4 ft each
Answer:
-51 i think
Step-by-step explanation:
Step-by-step explanation:
Given: and
We can solve for f(x) by writing
Let
Then
We know that f(0) = 0 so we can find the value for k:
Therefore,
Answer:
Step-by-step explanation:
Hello!
So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:
X: "Lifetime of one shoe pair of the new model"
Applying CLT:
X[bar]≈N(μ;σ²/n)
Known values:
n= 30 shoe pairs
x[bar]: 17 months
S= 5.5 months
Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:
H₀:μ=15
H₁:μ≠15
The significance level for the test is given: α: 0.05
Your critical region will be two-tailed:
So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96
Now you calculate your observed Z-value
Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99
σ/√n 5.5/√30
Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.
I hope you have a SUPER day!