Hello!
To solve this question, find the roots and create test intervals.
Evaluation: -4<x<3/2
Have a wonderful day! :)
-L
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:
{0, 3, 12}
Step-by-step explanation:
Put the domain values in the function and evaluate. The result is the range values.
y = 3{-2, -1, 0}^2 = 3{4, 1, 0} = {12, 3, 0}
For the given domain, the range is {0, 3, 12}.
_____
<em>Additional comment</em>
Neither the domain nor range values need to be put in any particular order. However, it is often convenient for them to be arranged from least to greatest.
Angle C is also 47 degrees since the two are congruent.
The sum of all the angles in a triangle is 180.
180 - 47 - 96 = 37
Your answer is the first choice.
Have an awesome day! :)
The root of an equation is the same as the solution to the equation.
:)