To evaluate an expression with variables: 1. Substitute the values for the variables. 2. Identify grouping symbols, beginning wi
2 answers:
Evaluate the expression using x = –1 and y=3.
1. Substitute the values for the variables.
we plug in -1 for x and 3 for y
2. Identify grouping symbols, beginning with the innermost symbols.
We take exponent and then we multiply
3. Determine and apply the rules of exponents to simplify
(-1)^4 = -1 * -1 * -1 * -1 = 1
(3)^3 = 3*3*3= 27
4. Evaluate.
162
The value of the expression is 162
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The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles =
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles =
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) = =
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26