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3 years ago

Evaluate 5(x - 1) - 2 when x = 3. ОА. 12 ОВ. -4 Ос. о. O D. 8

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

5(3-1)-2

5(2)-2

10-2

olya-2409 [2.1K]3 years ago

3 0

Answer:

D: 8

Step-by-step explanation:

Starting with 5(x - 1) - 2, replace x with 3:

5(3 - 1) - 2, or 5(2) - 2, or 10 - 2, or 8. This matches Answer D.

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

7 0

3 years ago

Write each expression as a multiple power of 10

KatRina [158]

Answer:

Step-by-step explanation:

3 0

3 years ago

PLS HELP!

Marina CMI [18]

Answer:The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x). The domain for f(x) ...

1 answer

Top answer:

Just multiply the two functions. You can usea a variety of ways. I like t

Step-by-step explanation:

8 0

3 years ago

4% of _____ days is 56 days

schepotkina [342]

We have an equation: 56/? = 4/100

Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4
⇒ ?= 1,400

4% of 1,400 days is 56 days~

4 0

4 years ago

Read 2 more answers

A child with a mass of 23 kg rides a bike with a mass of 5.5 kg at a velocity of 4.5m/S to the south. Compare the momentum of th

spayn [35]

Answer:

The child has a greater momentum than the bike.

Step-by-step explanation:

Since mass of child is more than the mass of the bike though they have same velocities.

7 0

3 years ago