Can you please help me?!

Function g is a transformation of function f.

bulgar [2K]

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is y=aeᵇˣ

Now, equation for f(x) is

f(x) = $e^{(log \;2)x} -2$

Similarly, graph for g(x) is

g(x) = $-3e^{(log \;2)x} +6$

Comparing the two function a relation can be establish

g(x) = -3[f(x)]

Learn more about Equation here:

brainly.com/question/2263981

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4 0

2 years ago

10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo

julia-pushkina [17]

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

$\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}$

To find the probability that at most 2 are 65 or older,

$\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}$

Answer: Probability is 0.504 .

8 0

1 year ago

Can somebody please help me???

matrenka [14]

Answer: B

Step-by-step explanation:

Domain is x values

Range is y values

Domain you look from left to right. You can see it starts at -3, and it goes all the way to 2. NOT 4 BUT 2!! Since we are looking at the X.

Range.. WE ARE LOOKING AT THE LOWEST POINT!! LOWEST POINT FIRST!1 I cannot stress enough. The lowest y-value is -2, and it's maximum point is 4!

REMEMBER:

DOMAIN = X LEFT TO RIGHT

RANGE= Y LOWEST POINT TO HIGHEST

8 0

3 years ago

Read 2 more answers

The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x < -1

kondaur [170]

9514 1404 393

Answer:

g(x) = -√(x -2) -1

Step-by-step explanation:

We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).

The inverse function is the solution to ...

x = f(y)

x = (y +1)² +2

x -2 = (y +1)²

-√(x -2) = y +1 . . . . . . . we are interested only in the negative values

y = -√(x -2) -1

The inverse function is ...

g(x) = -√(x -2) -1

3 0

3 years ago

Question Help Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a

koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So $\mu = 5656, \sigma = 333.3$

(a) What proportion of light bulbs will last more than 6262 hours?

The pvalue of the z-score of $X = 6262$ is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.