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4 years ago

The value of the function f(x) = 3x2 − 2x for x = 4

Mathematics

2 answers:

Phantasy [73]4 years ago

6 0

Answer: If that is a 3 times 2 then you answer is 14

However, if the equation is 3 time x squared then the answer is 40

Step-by-step explanation:

this is because 3 x 2 is 6 and -2 x 4 is -8. 6-(-8) would be 6 + 8 because -(-8) cancels out to just 8.

Tju [1.3M]4 years ago

3 0

Answer:

Step-by-step explanation:

Evaluate 3 x^2 - 2 x where x = 4:

3 x^2 - 2 x = 3×4^2 - 2×4

4^2 = 16:

3×16 - 2×4

3×16 = 48:

48 - 2×4

-2×4 = -8:

-8 + 48

| 4 | 8

- | | 8

| 4 | 0:

Answer: 40

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Aliun [14]

Answer:

74 hope this works if not I'm sorry

6 0

3 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

3 years ago

What can you say about the quotient, when you divide 23 by something equal to 1?

Gwar [14]

Answer: the quotient will be equal to 23

The equation to calculate what divided by 23 equals 1 is as follows:

X/23 = 1

Where X is the answer. When we solve the equation by multiplying each side by 23, you get get:

X = 23

Therefore, the answer to what divided by 23 equals 1 is 23

so the quotient will be equal to 23

Step-by-step explanation:

8 0

3 years ago

Which expressions are equivalent to 4m + 12? Choose ALL that apply.<br>

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Option 1:

4(m + 12) = 4m + 48 (not what we want)

Option 2:

6m - 2m + 12 = 4m + 12 (one of the right answers)

Option 3:

4(m + 3) = 4m + 12 (one of the right answers)

Option 4:

3m - m + 12 = 2m + 12 (not what we want)

Therefore the correct answers are Option 2 and Option 3.

6 0

3 years ago

Read 2 more answers

What is 18.390 centimeters converted to millimeters

bogdanovich [222]

183.9 millimeters is the answer

7 0

4 years ago

Read 2 more answers