Answer:
y = -3x + 5
Step-by-step explanation:
The answer would be x-16=31
Answer:
A = 81 m²
Step-by-step explanation:
The formula for area of the parallelogram is
A = LH where L is the length of the base, and H is the height
L is given as 9, and H is given as 5, so
A = (9)(5) = 45 m²
The are of the triangle is
A = (1/2)bh where b is the base and h is the height
b is given as 9. Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure. The height of the triangle is give as 8, so the area is..
A = (1/2)(9)(8)
A = 36 m²
The total area is
45 m² + 36 m² = 81 m²
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!