Answer:
The slope is just 2/3 and the y intercept is (0,3)
Using law of cosines:
Cos(angle) = adjacent/ hypotenuse
Cos(22) = 12/x
Rewrite to get:
X = 12/cos(22)
Simplify:
X = 12.9424
Round the answer as needed.
Answer:
3500 280
Step-by-step explanation:
280/3500
280 divided by 3500 times 100 (type this into a calculator)
its 8 her savings are 8 percent of her income
Answer:
a) 0.37
b) 0.421
c) 0.25
Step-by-step explanation:
Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is
And the standard deviation:
a) the cumulative probability of winning at least 35 games is
b)
c)
Answer:
4 people name chocolate
Step-by-step explanation:
Let's first understand the given information.
The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.
Dividing the total of people (100) by the ones who name chocolate (40) then we have:
100/40 = 2.5
Through the above equation we are actually expressing the following:
Total people = 2.5 * (people who name chocolate flavor)
Using this equation if we have now 12 people:
12 = 2.5 * (people who name chocolate flavor)
12/2.5 = (people who name chocolate flavor)
4.8 = people who chose chocolate flavor
Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.
