Answer:
a. z = 2.00
Step-by-step explanation:
Hello!
The study variable is "Points per game of a high school team"
The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)
The hypothesis is:
H₀: μ ≤ 99
H₁: μ > 99
α: 0.01
There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.
The statistic value under the null hypothesis is:
Z= X[bar] - μ = 101 - 99 = 2
σ/√n 6/√36
I don't have σ, but since this is an approximation I can use the value of S instead.
I hope it helps!
Answer: SSS
<u>Step-by-step explanation:</u>
<u>W</u>A = <u>N</u>O
<u>A</u>S = <u>O</u>T
<u>S</u>W = <u>T</u>N
△WAS ≅ △NOT by SSS Congruency Theorem
<span>A
computer is normally $899 but is discounted to $799.
Question: What percent of the original price does Shawn pay?
=> 799 dollars is the discounted price
=> 899 dollars is the original price
=> 899 – 799 = 100 dollars – the discount price that was deducted to the
original price.
Solution
=> 100 / 899 = 0.11
=> 0.11 * 100% = 11%
Thus, the computer has a discount of 11%.</span>
Answer:
Step-by-step explanation:
The given expression is
First, we need to factor each part of the expression
Remember that quadractic expression are factored in two binomial factors. The first quadratic expression factors are about two numbers which product is 6 and which difference is one. The second quadratic expression is about two numbers which product is 12 and which difference is 1.
Now, we simplify equal expression at each fraction.
Then, we use the least common factor about the denominators to sum those fractions. In this case, the least common factor is 
, because those are the factors present in the denominators.
Now, we divide each fraction by the least common factor, and then multiply the numeratos by its result.
Finally, we multiply all products and sum like terms.
Therefore, the sum of the initial expression is equal to
Answer:
3 gallons
Step-by-step explanation:
Given
Seconds Spent ----- Gallons of Gas
0 ---------------------------- 3
12 -------------------------- 5
24 ------------------------- 7
36 ------------------------- 9
48 ------------------------ 11
Required
Determine the output of the initial value
From the given parameters, we have that:
Gallon of gas is a function of time spent
This means:
The input is the time spent while the output is the gallon of gas
From the table above,
Initial Value = 0 seconds
The corresponding output of this is 3 gallons
Hence;
<em>Option C answers the question.</em>
