Answer: Summer Math Packet for Students Entering Algebra 2. 1. Percentages ... E) -15+6 = -9 f). 35:-7 = 5 g. 3[2(6+1)-32). 1+(22-1)+1. 1 = 3 h). 4:3 =
Step-by-step explanation: Good luck!
80.75 / 8.50 = 9.5
Sean worked 9 and a half hours.
Answer:
The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.
Step-by-step explanation:
Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:
3 sizes
4 colors
4 x 3 = 12
4 midsize cars
3 red cars
1 medium red car
4 + 3 - 1 = 6
6/12 = 0.5
Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.
Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:


We know that:



Then our integral is:

The right side is equal to:

The bounded area is 5 + 5/6 square units.
22.4
If the bottom side is 20 cm, then each line BE and CE would each be 10 cm.
Now, just focus on the top left triangle. You have one side with 20 cm, and the other side with 10 cm. You are left with the hypotenuse, which you need to figure out the value of.
Since this is a right triangle, you can use the Pythagorean theorem -> a^2 + b^2 = c^2 where c is the hypotenuse.
20^2 + 10^2 = c^2
400 + 100 = c^2
500 = c^2
22.36 = c