Suppose we randomly select a coffee drinker. Let C be
the event that the coffee drinker uses cream and S be
the event that the coffee drinker uses sugar.
What is the probability that a randomly selected coffee
drinker does not use sugar or cream?
What is the probability that a randomly selected coffee
drinker uses sugar or cream?

Answer:

n = -5/2d   or  d = -5n/2

Step-by-step explanation:

Answer:

(A) true.

(B). False.

Step-by-step explanation:

(A). F(x) = 4xe^-2x.

Let's make the assumption that 2x = b -----------------------(1).

Therefore, taking the differentiation with respect to x, we have;

2x dx = db.

The next thing thing to do is to integrate, taking the upper limit to be infinity and the lower limit to be zero:

∫( b e^-b db).

Changing the Lim. infinity = 2.

= ∫( b e^-b db). ----------------------------(2).

The step (2) above can be solve with Integrations by part;

Lim. 2 ---> infinity [ b e^-b + ∫( 1 e^-b db|

( | = Upper boundary = 2 and the lower boundary = 0).

Lim. 2 ----> infinity [ 2 e^-2 - 0] - lim. 2 --> infinity [ 0 - 1].

Lim 2 ---> infinity [ 2/e^2 + 1].

Let 2/e^2 = j.

The, lim 2 ---> infinity j + 1.

To solve this, there is need to make use of L'hospital rule,

j = Lim 2 ---> infinity [ 1 /e^2] = 0.

Thus, j = 0. And 0 + 1 = 1.

(PROVED TO BE TRUE).

(B). Taking limit from 1 (upper) to 0( lower). Assuming that b = 3 - 4x.

Therefore, -4dx = db.

∫( 8 /(3 - 4x)^3 dx.

Taking the upper boundary = -1 and the lower boundary = 3.

∫ ( - 2db/ b^3.

= 2 ∫ ( - db/ b^3.

= 2 [ b^-3 + 2) / -3 + 1.

= 2 | - 1/ 2 db

= 8/9.

Not true.

Step-by-step explanation:

step 1. 42 represents 35% of the birds.

step 2. 42/.35 = all of the birds counted.

step 3. 42/.35 = 120.

step 4. There are 120 total.

Answer:

120

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

We can have any. two numbers that represent a and b

It CANT BE THIS FOLLOWING

A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10

A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)

Let use 5 and 6.

56

Reverse the digits

65

add 56 to 65

121

Divide this by 6+5=11

The answer is 11 This vary for all answers let use 1,7

17 then reverse

71 then add 71 and 17

88 then divide by 1+7=8

11

The quotient is 11.

Step-by-step explanation:

Given:

A two-digit number,'ab'.

Where a and b are non-zero and are unequal to each other.

To find:

Quotient after dividing the sum of the given digit and its reverse with(a+b).

Solution:

The given digit = [tex]ab = (10a+b)[/tex]

[tex]Where:\\a \neq b, a\neq 0,b\neq 0[/tex]

On reversing the given digit =[tex]ba = (10b +a)[/tex]

Now adding the given digit and its reverse:

[tex]= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)[/tex]

Diving the sum with (a+b):

[tex]=\frac{11(a+b)}{(a+b)}=11[/tex]

The quotient is 11.

Learn more about algebra here:

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Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Step-by-step explanation:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Answer: The formula for the area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.

Step-by-step explanation:

Hope This helps, Brainlees, please

Answer:

48/70 = 24/35 = 0.685714 = 68.57%

Answer:

48 acopf70 (eg)3 ( nt)2

Step-by-step explanation:

48 acopf70 (eg)3 (nt)2

Answer:

breadth: 15, area: 525

Step-by-step explanation:

Answer:

Breadth = 15cm

Area = 525cm^2

Step-by-step explanation:

We know that the perimeter of a rectangluar sheet is 100cm, and we know that the length is 35cm. We are then being asked to find the breadth and the area.

Use the information that we know to solve the breadth, get b alone :

Length = 35cm

2(l + b) = 100

Substitute :

2(35 + b) = 100

Divide 2 from both sides :

35 + b = 50

Subtract 35 from both sides :

b = 15cm

Now for the area :

Area = Length * Breadth

Substitute :

A = 35 * 15

A = 525cm^2

Answer:

The large one

Step-by-step explanation:

If she  used the WHOLE thing in the large one and HALF in the smaller one then that means there is more in the large one and that it is more choclete.

Answer:

The larger one!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.

This means any number we are going to use to multiply 7/5 must not be less than 1.

²/3 is less than 1.

Let's multiply and see:

⁷/5 × ⅔ < ⁷/5

14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)

Therefore, the answer is A.

Answer:

3/2x²+28x+130

Step-by-step explanation:

Area of shaded region = Area of rectangle – Area of triangle

Area of rectangle:

[tex](2x + 15)(x + 10) = \\2x {}^{2} + 35x + 150[/tex]

Area of triangle:

[tex] \frac{1}{2 } \times (x + 4)(x + 10) = \\ \frac{1}{2} x {}^{2} + 7x + 20[/tex]

then subtract

Answer:

Answer: x = 20/3 = 6.667

Step-by-step explanation:

 Solve  :    3x-20 = 0

Add  20  to both sides of the equation :

                     3x = 20

Divide both sides of the equation by 3:

                    x = 20/3 = 6.667

Answer:

4xy^2√2x

Step-by-step explanation:

Answer:

4xy²[tex]\sqrt{2x}[/tex]

Step-by-step explanation:

√32x³y^4 can be broken down to:

√4√4√2√x²√y²√y²√x which can be simplified to be:

4xy²√2x

Answer:

3.9%

Step-by-step explanation:

Total number of crimes = 408016 + 2050992 + 6971590 + 1160002 = 10590600

percent of robberies = 408016/10590600 = .038526 ≅ 3.9%

Answer:

Do the pythagor theorem and add 5

It's 65

Answer:

id

Step-by-step explanation:

Answer:

0.052

Step-by-step explanation:

[tex]P=\frac{4}{77}=.052[/tex]

Answer:

24 biros

Step-by-step explanation:

12.50 naira = 1 biro

300 ÷ 12.50 = 24 biros

Answer:

24

Step-by-step explanation:

It's a ratio problem

Let B is Biro and N naira

B   :      N

1    :     12.5

x    :      300

then x = 300 * (multply) 1 /12.5 = 24

I hope this is helpful to you

Answer:

52.5 yd²

Step-by-step explanation:

1/2(10)(10.5)=52.5

Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.

Step-by-step explanation:

Answer:

C. 52

Step-by-step explanation:

You can simply subtract 540 from the total amount of points

2880-540=2340

and then you can divide that by the number of points she gets every time she shops on the website

2340÷45

Which would equal 52

So, C. 52 would be the correct answer.

Hope this helps!

Answer:

answer is (2,-4)

Step-by-step explanation:

I did it's process in next question

Answer:

The other prime number is 2.

Step-by-step explanation:

Prime factorization of a cube of a certain number and a square of 5

The number we dont know is x, so we have:

[tex]x^3 \times 5^2 = 25x^3[/tex]

The product is 200. What is the other prime number?

So

[tex]25x^3 = 200[/tex]

[tex]x^3 = \frac{200}{25}[/tex]

[tex]x^3 = 8[/tex]

[tex]x = \sqrt[3]{8}[/tex]

[tex]x = 2[/tex]

The other prime number is 2.

Answer: The probability of rolling a 2 on a 6-sided die is 1/6.

Step-by-step explanation:

The probability of getting 2 on the die P(2) is 1/6.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, We roll a six-sided die,

So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.

N(2) = 1

∴ The probability of getting the number 2 when we throw a die is

P(2) = N(2)/N(S).

P(2) = 1/6.

learn more about probability here :

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Answer:

ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki

Answer:

25%

Step-by-step explanation:

From the question given above, the following data were obtained:

Total shaded checker board (T) = 32

Shaded checker board with pieces (S) = 8

Percentage of Shaded checker board with pieces =?

We can obtain the percentage of checker board with pieces as follow:

Percentage of Shaded checker board with pieces = Shaded checker board with pieces / Total shaded checker board × 100

= S / T × 100

= 8 / 32 × 100

= 25%

Therefore, percentage of Shaded checker board with pieces is 25%

Answer:

A. [tex] 8x\sqrt{5} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]

Required:

Simplify

[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]

[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]

Add like terms

[tex] 8x\sqrt{5} [/tex]