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3 years ago

Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?

1 answer:

3 0

The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20

probability of choosing multiple of 4
25/100 = 1/4
probability of choosing multiple of 5
20/100 = 1/5

the probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice. 5/100 = 1/20
20, 40, 60, 80, 100

when "or" is used, add the probabilities, subtract the duplicates.

1/4 + 15 - 1/20 =
5/20 + 4/20 - 1/20 = 8/20 = 2/5

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(09.02 HC)

zlopas [31]

Answer:

Vertex = (12,64)

The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

X-intercepts: 4 and 20

The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

Step-by-step explanation:

To find the vertex we can use the formula for the x-coordinate of the vertex:

x_v = -b/2a

Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)

So we have that:

x_v = -24 / (-2) = 12

The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:

f(x) = -12^2 + 24*12 - 80 = 64

So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

To find the x-intercepts, we need to make f(x) = 0 and find the values of x:

-x2 + 24x - 80 = 0

Delta = 24^2 - 80*4 = 256

sqrt(Delta) = 16

x1 = (-24 + 16)/(-2) = 4

x2 = (-24 - 16)/(-2) = 20

The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

5 0

3 years ago

What is the greatest number of penss that can be bought with $ 8.15 if each pen costs 85 cents?

Marysya12 [62]

Answer:

Step-by-step explanation:

x=pens

.85x=8.15

.85x/.85= 8.15/.85

x=9.58

so 9 whole pens can be bought

8 0

3 years ago

taci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the ev

Oksi-84 [34.3K]

She can purchase 3 t-shirt :)

4 0

3 years ago

Read 2 more answers

Find the value of x. Round to the nearest tenth.

vfiekz [6]

Answer:

Step-by-step explanation:

to find w:

sin(44) = w/30

w = 30sin(44)

w = 20.8 to 1 decimal place

to find x;

cos(x) = 20.8/45

x = $cos^{-1}$ (20.8/45)

x = 62.46940334

x = 60

3 0

3 years ago

Does anyone know how to do this help please

statuscvo [17]

Answer:

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

$\rm\implies y = x^2+x - 6$

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

$\rm\implies y = 3^2-3-6\\$

$\rm\implies y = 9 - 3 - 6 \\$

$\rm\implies y = 0$

Put x = -2 :-

$\rm\implies y = 2^2-2-6\\$

$\rm\implies y = 4 -2-6\\$

$\rm\implies y = -4$

Put x = -1 :-

$\rm\implies y = -1^2-1-6\\$

$\rm\implies y = 1 -1-6 \\$

$\rm\implies y = -6$

Put x = 1 :-

$\rm\implies y = 1^2+1-6\\$

$\rm\implies y = 2 -6$

$\rm\implies y = -4$

Put x = 2 :-

$\rm\implies y = 2^2+2-6\\$

$\rm\implies y = 4 +2-6\\$

$\rm\implies y = 2$

Put x = 3 :-

$\rm\implies y = 3^2+3-6\\$

$\rm\implies y = 9 +3-6\\$

$\rm\implies y = 6$

Final table :-

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

7 0

2 years ago