White as an algebraic expression: the sum of 3 and the product of p and 7

The probability, P, that a person responds to an advertisement can be modeled by the exponential function P = 1 – e^-0.047t. In

Ray Of Light [21]

Answer:

c. 60.9%

Step-by-step explanation:

Given:

The probability P that a person responds to an advertisement can be modeled by the function:

$P=1-e^{-0.047t}$

where $t$ represents number of days since the advertisement first appeared.

To find the probability that a person has responded after 20 days.

Solution:

In order to find the probability that a person has responded after 20 days, we will plugin $t=20$ in the formula given.

We have:

$P(t)=1-e^{-0.047t}$

Plugging in $t=20$

$P(20)=1-e^{-0.047(20)}$

$P=1-e^{-0.94}$

$P=1-e^{-0.047t}$

$P=1-0.3906$

$P=0.6094$

Thus, probability $P$ after 20 days = 0.6094

The probability in percentage can be given = $0.6094\times 100$ = 60.9%

7 0

3 years ago

Two hiking groups made the purchases shown below. What is the cost of each item. GROUP 1: 6 muffins, 12 granola bars, Total=$26.

stepladder [879]

Answer:

Price of each muffin = $1.25

Price of each granola bar = $1.6

Step-by-step explanation:

Group 1:

6 muffins, 12 granola bars

Total money paid = $26.70

Group 2:

8 muffins, 15 granola bars,

Total money paid = $34.00

To find:

Price of each item?

Solution:

Let the price of one muffin = $ $x$

Let the price of one granola bar = $ $y$

As per group 1, the equation can be written as:

$6x+12y=26.70\\\Rightarrow x+2y=4.45 .... (1)$

As per group 2, the equation can be written as:

$8x+15y = 34$ .... (2)

Let us use elimination method to solve for $x$ and $y$ .

Multiplying equation (1) with 8 and subtracting (2) from it:

$16y-15y = 35.6 - 34\\\Rightarrow y = 1.6$

Using equation (1):

$x+3.2=4.45\\\Rightarrow x = 1.25$

Therefore, the answer is:

Price of each muffin = $1.6

Price of each granola bar = $1.25

7 0

3 years ago

Factor the polynomial by its greatest common monomial factor. 3b^5+15b^4−18b^7

Natasha2012 [34]

Answer:

Step-by-step explanation:

3b⁵ + 15b⁴ - 18b⁷ = 3b⁵ + [3*5*b⁴] - [6*3*b⁷]

=3b⁴*( b + 5 - 6b³)

3 0

3 years ago

I have four friends, and 3 cookies, how many cookies do I give each person. What do I have left over, and what is the fraction?

andriy [413]

Answer:

3/4 of cookie per each friend.

Step-by-step explanation:

Since you have 4 friends, and only have 3 cookies,

the fraction is 3/4. why? because 3/4= 0.75

which makes 0.75x 4 friends= 3 cookies . Each friend will get 0.75 or 75% of cookie which is the same as 3/4.

3 0

2 years ago

Read 2 more answers

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data an

Studentka2010 [4]

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1: Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2: Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3: Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

5 0

1 year ago