Given: F(x)=x+2 and G(x)=3x+5 <br> (F - G) (x) = ?<br><br><br> 4<br> -3x-3<br> -3x-3

Sarah is designing a flower garden and has allowed herself $300 for expense. she finds flowers for $6 each and bushes for 10$ ea

pishuonlain [190]

Answer:

25 flowers 14 bushes

Step-by-step explanation:

13f/23b = 308

16f/21b = 306

8f/260 = 308

25 · 6 = 150

14 · 10 = 140

140+150 = $290

3 0

3 years ago

the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

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

In which:

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

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

2 years ago

What is the vertex of the parabola whose equation is y = (x + 1)^2 + 3?

dalvyx [7]

The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)

If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)

5 0

3 years ago

If p = 5 and q = 3 evaluate , 4p - pq

Fynjy0 [20]

Answer:

5

Step-by-step explanation:

4p-pq=4.5-3.5=20-15=5

7 0

3 years ago

Read 2 more answers

Explain how to plot the point (3, –7) on the coordinate plane.

Reil [10]

Coordinates are written in the form (x,y), x being a certain length along the horizontal x axis and y being a certain height along the vertical y axis. Positive y numbers are in the top half of the plane and negative y numbers are on the bottom. Positive x numbers are on the right side of the plane and negative x numbers are on the left. Therefore, (3,-7) would be 3 across to the right from the origin (where the x and y axes intersect) at (3,0) and 7 downwards from that point to (3,-7).

5 0

3 years ago

Read 2 more answers

Given: F(x)=x+2 and G(x)=3x+5 (F - G) (x) = ? 4 -3x-3 -3x-3