One pound of apples costs $3.25 . Five pounds of apples cost $16.25

The table shows the inputs and corresponding outputs for the function f(x) = StartFraction 1 Over 8 EndFraction(2)x. A 2-column

asambeis [7]

Answer:

f-1 (1/2) =2, f-1(8) = 6

Step-by-step explanation:

i did it on edge

5 0

3 years ago

Read 2 more answers

It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha

stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

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:

0.54% of the calls receive a busy signal, hence p = 0.0054.

A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

$P(X \geq 5) = 1 - P(X < 5)$

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

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

$P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009$

$P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062$

$P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218$

$P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513$

$P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903$

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295$

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

1 year ago

The average of three numbers is 25. The average of two of those numbers is 21. What is the value of the third number of the orig

Elza [17]

Answer:

b) 33

Step-by-step explanation:

You reverse the process of finding the second average, 21, which will help you find the original average, 25. First you multiply the second average, 21, to retrace your steps. We do this because the last thing we do when we find the average is divide. when you multiply 21 you get 42. Now you have the value of the first two numbers. Then you experiment with the numbers. To save time I'll get to the point. When you add 33 + 42 you get 75. Then you divide by 3 to get 25. You divide by three because the instructions say there was 3 numbers to start with. Hope this helps.

8 0

3 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

Nady [450]

Do you notice anything strange about those points ?

(0, 1),
(1, 2),
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the power of the x-coordinate.

First point:   x=0, y=2⁰ = 1
Second point: x=1, y=2¹ = 2
Third point:    x=2, y=2² = 4
Fourth point: x=3, y=2³ = 8

The equation of the curve appears to be

   y = 2 ^ x .

So, after 10 hours, x=10, and y = 2¹⁰ = 1,024 .

3 0

3 years ago

Read 2 more answers

I NEED HELP PLEASE !

MrRa [10]

Answer:

x = 4, -2 1/2

Step-by-step explanation:

factors:

(2x + 5) (x - 4)

set each factor equal to zero:

2x + 5 = 0

2x = -5

x = -5/2

x - 4 = 0

x = 4

6 0

2 years ago