<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where 
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
Step-by-step explanation:
Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:
P(A)∩P(B)
thus from the example, independent events will be:
P(blue)=70%, P(green)=30%, P(blue and green)=21%
Because:
P(blue)∩P(green)=0.7×0.3=0.21=21%
Consider this option (2 ways for this):
1. Probability=1-[probability_all_boys].
for [probability_all_boys]=1/[all_possible_combinations];
for [all_combinations]=2³=8. It means that
Probability=1-(1/8)=7/8=0.875.
2. Probability=[needed_cases]\[all_possible_cases];
all possible combinations are:
bbb;ggg;bgg;bgb;bbg;gbg;gbb;ggb; - (where 'g' - girl, 'b' - boy) total 8.
needed cases: ggg;bgg;bgb;bbg;gbg;gbb;ggb, - total 7.
Probability=7/8=0.875
Answer:
it reflect over y axis.
Step-by-step explanation
Given: If the parent function f(x) = (2x − 3)³ is transformed to g(x) = (-2x + 3)³.
To find: Which type of transformation occurs.
Solution: We have given that
parent function f(x) = (2x − 3)³ .
transformed to g(x) = (-2x + 3)³.
By the transformation rule ; f(x)→→ f(-x) it mean function is reflect over y axis.
We can see from given functions g(x) →→ f(-x).
Therefore, it reflect over y axis.
Answer:
4'4
Step-by-step explanation:
