Answer:
u = 5.176 oz
Step-by-step explanation:
Given:
standard deviation = 0.4
P(x>6) = 2℅ = 0.02
The complement role:
P(A°) = P(not A)
= 1 - P(A)
P(x<6) = 1, P(x>6) = 1 = 0.02 =
= 1-0.02 = 0.98
Taking the closest probability 0.9893 which is on row 2.0 column .06 in the probability table, we now have a z score of
2.0 + 0.06 = 2.06
Zo = 2.06
Therefore, Z score is expressed as
Zo = (x -u) / sd
We already know Zo = 2.06
x = 6
u = ?
sd = 0.4
Therefore,
2.06 = (6 - u) / 0.4
= 2.06 * 0.4 = 6 - u
u = 5.176
Answer:
-1/30
Step-by-step explanation:
just subtract then divide.
(this is simplest form)
Answer:
We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.
Step-by-step explanation:
let p be the proportion of trips included a visit to a theme park.
: p=0.12
: p<0.12
To test, we need to calculate test statistic of the sample proportion as:
z=
where
- p(s) is the sample proportion of trips included visit to a theme park (
- p is the proportion assumed under null hypothesis. (0.12)
- N is the sample size (1565)
Using the numbers, z=
= −0.767 and p(z) is ≈0.222
Since 0.222 > 0.05 we fail to reject the null hypothesis.
The answer is: 3.
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: 3.
_______________________________________
Explanation: We are given that the ordered pair: "(3,10)" exists. In other words, when x = 3, y =10.
______________________________________
The "missing value" refers to the "empty box" in the table shown (in the attached screenshot). The "empty box" shows a "y-coordinate" of "20"; but a "missing" corresponding "x-coordinate".
____________________________________
The problem asks:
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____?
___________________
The answer is: 3.
_______________________
We know the answer is "3"; because we know that "3" already has 1 (one) corresponding y-coordinate.
By definition, a "function" cannot have ANY "x-coordinates" that have more than one "corresponding y-coordinate". As such:
_______________________________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is:
____________
3.
____________
Additional information:
____________
When examining an equation on an actual graph, we can use what is called the "vertical line test". That is, one can take a pencil and vertically go through the "y-axis", or even examine it visually, to see if there are any "x-values" that have more than one corresponding "y-coordinate".
If no, then it "passes" the "vertical line test" and is a "function".
If not, then it does NOT pass the "vertical line test" and is NOT a function.
__________________________________________
Answer:
<em>(c) a straight line with positive slope.</em>
Step-by-step explanation:
<u>Functions</u>
We are required to find a function that relates the height of the water in a cup to the volume of water in the cup.
The cup has a shape of a cone open upwards. The volume of a cone of height h and radius r is
This function relates the height with the volume, to find the required function, let's solve for h
Rearranging
Being all the values positive, the height and the volume are linearly related with positive slope
Answer: (c) a straight line with positive slope.
