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4 years ago

Given that F(x) = x 2 + 2, evaluate F(2). 0 2 6

Mathematics

2 answers:

belka [17]4 years ago

4 0

Answer 6

2^2+2
4+2=6
Got it

Aliun [14]4 years ago

3 0

Answer:

The correct option is <u>C) 6</u>

Step-by-step explanation:

we need to calculate the value of function at x=2

The given function is $F(x)=x^{2}+2$

To calculate F(2), we replace 'x' with 2 in $F(x)=x^{2}+2$

$F(2)=2^{2}+2$

$F(2)=4+2$

$F(2)=6$

Therefore, the correct option is <u>C) 6</u>

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Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y

Verizon [17]

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a. x + y = 23

x - y = 7

b. Adding the 2 equations eliminates y, so we have

2x = 30

x = 15.

Substitute x = 15 in equation a:

15 + y = 23

y = 23 - 15

y = 8.

Answer x = 15, y = 6.

7 0

3 years ago

Read 2 more answers

Suppose monthly rental prices for a one-bedroom apartment in a large city has a distribution that is skewed to the right with a

omeli [17]

Answer:

a) Nothing, beause the distribution of the monthly rental prices are not normal.

b) 1.43% probability that the sample mean rent price will be greater than $900

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?

Nothing, beause the distribution of the monthly rental prices are not normal.

(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Now we can apply the Central Limit Theorem.

$\mu = 880, \sigma = 50, n = 30, s = \frac{50}{\sqrt{30}} = 9.1287$

This probability is 1 subtracted by the pvalue of Z when X = 900.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{900 - 880}{9.1287}$

$Z = 2.19$

$Z = 2.19$ has a pvalue of 0.9857

1 - 0.9857 = 0.0143

1.43% probability that the sample mean rent price will be greater than $900

8 0

3 years ago

A. The solution is (−2,−3)

Cerrena [4.2K]

9514 1404 393

Answer:

D. (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

x = y -1 ⇒ -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

x = y -1 ⇒ -3 = -2 -1 . . . .True

2x = 3y ⇒ 2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

If you'd like to solve the set of equations, substitution for x works nicely.

2(y -1) = 3y

2y -2 = 3y . . eliminate parentheses

-2 = y . . . . . . subtract 2y

x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0

3 years ago

A rock is tossed off a balcony. Its height (in feet) is given by the formula

statuscvo [17]

Step-by-step explanation:

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4 0

3 years ago

What is the slope of the line below?

Gala2k [10]

Answer:

C. 2.5 or 5/2

Step-by-step explanation:

5 0

3 years ago