The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
<h3>How to find the value of z-statistic for population mean?</h3>
Suppose we're specified that:
- The sample mean =

- The population mean =

- The population standard deviation =

- The sample size = n
Then the z-statistic for this data is found as:

For this case, we've got:
- The sample mean =
= 295 - The population mean =
= 310 - The population standard deviation =
= 20 - The sample size = n = 50
Thus, we get:

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
Learn more about z-statistic here:
brainly.com/question/1640298
Answer:
14 ft³
Step-by-step explanation:
First, find the volume of a single cube: V = s³, where s = side length
V = s³; s = 1/5
V = (1/5)³
V = 0.008 ft³
**Note: (1/5)³ is equal to 1/125 as a fraction. I put it down in decimal form because it's easier for me to work with decimals.**
Now, to find the volume of the prism (which is <u><em>completely</em></u> filled with cubes), multiply the volume of one cube by the total number of cubes: 1750.
(1750)(0.008)
14 ft³
The volume of the prism is 14 ft³.
Hope this helps!
2x+4y=0
3x+y=10
So what we want to do is get y onto one side by itself using whatever equation you like.
So I'm taking 2x+4y=0 and subtracting 4y from both sides
So we end up with
2x=4y
Divide both sides by four
2/4x is 1/2 x
So we get 1/2x=y
Take this and plug it into the other equation
3x+y=10
3x+1/2x=10
Add your like terms
3 1/2x=10
Putting 3 1/2 as a mixed number we get 7/2
So..
7/2x=10
Multiply by the opposite of 7/2 on both sides
Which is 2/7 this will cancel out the left side.
So we end up with
X= 10•2/7
X=20/7
Which is 2 and 6/7 as a mixed number.
Answer:
Option (C)
Step-by-step explanation:
In the given circle, AB is a chord passing through the center O.
Therefore,chord AB is a diameter of the circle and OC is the radius.
AO = OB = OC
OC⊥AB, and length of OC = 7 cm
By applying Pythagoras theorem in right ΔBOC,
BC² = OC² + OB²
BC = 
= 
=
≈ 9.9 units
Therefore, Option (C) will be the answer.