Answer:
Option A.
Step-by-step explanation:
In an experiment a mouse took the mean time to find its way through a maze = 18 seconds.
So the mean time μ = 18
So null hypothesis says,
H₀ : μ = 18
Then a researcher thought that the mice can complete the maze faster than the time taken earlier.
So he thinks mean time taken by 10 mice will be less than 18 seconds.
Or μ < 18
Alternate hypothesis says will be
Hₐ : μ < 18
Therefore, null hypothesis and alternate hypothesis will be
H₀ : μ = 18
Hₐ : μ < 18
Option A. will be the answer.
It appears as if 12cm is half the length of the side so we can assume that the total length of one side is 24cm.
The area of a square is given by the equation
where s is the length of the side.

A=576
The area of this square is 576cm2.
Hope this helps!
Step-by-step explanation:
1. How many terms are in the expression?
The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms
13x, -2y, -5x, and 8
2. Which terms are “like terms”?
13x and -5x are like terms.
3. Are there any constants? If so, what are they?
Yes there is a constant terms and it's 8
4. What are the variables in the expression?
The variables in this expression are x, and y
5. What are the coefficients in the expression?
Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5
Answer:
Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.
Step-by-step explanation:
We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.
A random sample of 39 steel bolts is selected.
Let
= <u><em>sample mean diameter</em></u>
The z score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean diameter = 141 millimetres
= standard deviation = 7 millimetres
n = sample of steel bolts = 39
Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(
> 141.4 millimetres)
P(
> 141.4) = P(
>
) = P(Z > 0.36) = 1 - P(Z
0.36)
= 1 - 0.6406 = <u>0.3594</u>
The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.