(Evaluating Expressions) If x = 1, y = 3, and z = 2, what is the value of the expression 4xy + 3xz + 7y? *

Mathematics

1 answer:

pshichka [43]2 years ago

8 0

Answer:

Step-by-step explanation:

4 x 1 x 3 + 3 x 1 x 2 + 7 x 3

4 x 3 + 3 x 1 x 2 + 7 x 3

12 + 3 x 1 x 2 + 7 x 3

12 + 3 x 2 + 7 x 3

12 + 6 + 7 x 3

12 + 6 + 21

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle $\times$ Probability of selecting a lemon bottle out of water bottles.

Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle $\times$ Probability of selecting a lemon bottle out of tea bottles.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$