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!
The exponential equation (in thousands) is:

plug in t=3 yrs, and solve for 'r'.

Find value of car when t = 10
Answer:
2
Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
<span>Okay so let x = the amount of apples that Maria picks.
Andre picks three times as much as Maria, so amount Andre picks = 3x
Jane picks two times as much as Andre, and Andre = 3x
So Jane = 2(3x), = 6x
</span><span>All of these added together should give 840.
</span>
<span>x + 3x + 6x = 840
</span><span>10x = 840.
</span><span>x = 84
</span><span>Therefore, Maria picked 84 pounds of apples
Andre picked 3x = 3 x 84 = 252 pounds of apples.
Jane picked 6x = 6 x 84 = 504 pounds of apples.</span>