Slope intercept: y=-3/4x+2
Answer:
So we can find this probability:

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where
and
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Answer:
if she build x numbers of large decks, therefore small decks would be (x + 5)
1500*(x+5)+2500x =23500
1500x+7500+2500x=23500
4000x+7500 =23500
4000x=23500-7500
4000x=16000
x=4
4+5=9
cho built 4 large decks and 9 small decks
Answer:
13.7 cookies per cup
Step-by-step explanation:
Here, we want to write the constant of proportionality that relates the number of cookies to the
number of flours.
What we do
simply here is to divide the number of cookies by the number of cups of flowers
That would be;
y/x = 48 cookies/3.5 cups = 13.7 cookies per cup