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4 years ago

-x(y+z) if x=4 y=-3 z=-5

Mathematics

2 answers:

Mnenie [13.5K]4 years ago

6 0

The answer is 32
The work is below
-4(-3+-5)
12+20
32

AleksAgata [21]4 years ago

3 0

Answer:

Step-by-step explanation:

Substitute 4 for x, -3 for y and -5 for z.

Then the original expression becomes:

-4(-3 - 5), or -4(-8) = 32

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What is the range of the function f(x) = -4|x + 1| − 5?

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A machine produces small cans that are used for baked beans. The probabil- ity that the can is in perfect shape is 0.9. The prob

Elis [28]

Answer:

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Shipped for use

Event B: Perfect shape

Probability of being shipped for use:

Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

$P(A) = 0.9 + 0.02 = 0.92$

Being shipped for use and being in perfect shape.

0.9 probability, so $P(A \cap B) = 0.9$

What is the probability that a can that gets shipped for use will be of perfect shape?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783$

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

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3 years ago