what two - dimensional figure results from vertically slicing the pyramid from the apex to the base? a)…

what two - dimensional figure results from vertically slicing the pyramid from the apex to the base? a) square b) triangle c) rectangle d) trapezoid 4. what is the value of 5 + 6 - 3/2(8÷1/4)? a) 59 b) 19 c) - 8 d) - 37 6. which number could represent the probability of an event occurring? a) 1 b) 1.25 c) 8/5 d) 3.3
Answer
Explanation:
Step1: Solve the first - question
When a pyramid is vertically sliced from the apex to the base, the cross - section is a triangle. This is because the slice goes from a single point (the apex) to the base, creating a three - sided figure.
Step2: Solve the second - question
First, calculate the value inside the parentheses: $8\div\frac{1}{4}=8\times4 = 32$. Then, multiply by $\frac{3}{2}$: $\frac{3}{2}\times32=48$. Finally, calculate the whole expression: $5 + 6-48=11 - 48=-37$.
Step3: Solve the third - question
The probability of an event $P(E)$ satisfies the inequality $0\leq P(E)\leq1$. Among the given options, only $1$ is in the range of valid probabilities.
Answer:
- b) Triangle
- d) - 37
- a) 1