Answer:
True expressions:
- The constants, -3 and -8, are like terms.
- The terms 3 p and p are like terms.
- The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
- The expression contains six terms.
- Like terms have the same variables raised to the same powers.
Step-by-step explanation:
The expression is:
p² - 3 + 3p - 8 + p + p³
False expressions:
- The terms p squared, 3 p, p, and p cubed have variables, so they are like terms. (They don't have the same exponents)
- The terms p squared and p cubed are like terms. (They don't have the same exponents)
- The expression contains seven terms. (It contains 6 terms)
Writing an equation would be most helpful, but depending on the situation drawing a diagram or reading a table could work better.
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
