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!
Answer:
3
Step-by-step explanation:
5x - 8 = 7
5x = 7+8
5x = 15
x = 15 ÷ 5
x = 3
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.

STEP 2: Divide each term by 2 and simplify.

Answer:
x = 6
Step-by-step explanation:
opposite sides of both angles are congruent/equal or have same measure.
Therefore:-
6x+2=38
6x=38-2
6x=36
x = 6
Answer:
36
Step-by-step explanation:
Okay! This question is a very simple one, but without a calculator, your answer could easily vary from others! So, let´s do this one together!
The equation:
0.810x0.00048/0.000400x0.027
Let´s do the top :
0.810 x 0.00048 = 0.0003888
I will leave these numbers the same until the last part, lets not round them.
Bottom:
0.0004 x 0.027 = 0.0000108
And again I am not going to round this number.
Now we can divide!
0.0003888/0.0000108 = 36
I hope this helped!