Question 4 of 17
Rewrite 50.82 : 1.1 to make the divisor a whole number. Select the answer
choice that shows the correct setup for long division and answer.
O A. 11)50.82 = 46.2
B. 11)508 2 = 42.6
O C. 11)508.2 = 46.2
D. 11)50.82 = 4.62
Help

Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.

The probability density function is given by:

[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]

The integral formula for the expected value is:

[tex]E(x) = \int_0^3 xf(x) dx[/tex]

Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:

[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]

[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]

[tex]E(x) = 1.83[/tex]

The expected number of coupons a customer will use is of 1.83.

A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236

Answer:

$12,000

Step-by-step explanation:

[tex]p(({1 + i})^{n} - 1)[/tex]

[tex]26376( ({1 +.0499 })^{8} - 1) \\ = 12000[/tex]

Answer:

x = 2

Step-by-step explanation:

These are known as alternate exterior angles. These types of angles are equal to each other.

[tex]8x-7=2x+5\\6x-7=5\\6x=12\\x=2[/tex]

Answer:

Graph 1 is the answer

Answer:

$84

Ruby started with $84 before purchasing the school supplies.

Step-by-step explanation:

$32 + $4 + $18 + $30 = $84

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Answer:

  $1 per person

Step-by-step explanation:

The per-person cost (x) can be found from the proportion ...

  x/(0.5 lb) = $8/(4 lb)

Multiplying by 0.5 gives ...

  x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel

The cost per person will be $1.

Answer:

X=33

Step-by-step explanation:

Hope this helps!!!

Answer:

5x-6y=1

15x-18y=3

first equation=30x-36y=6

second equation=45x-54y=9

third equation=60x-72y=12

Answer:

No

Step-by-step explanation:

Plug the coordinates into the given inequality

2(2) + 3(2) ≤ 10(2) + 4(2) < 10

4 + 6 ≤ 20 + 8 < 10

10 ≤ 28 < 10

(2,2) is not a solution to this system of inequalities since 28 cannot be less than 10.

Answer:

The answer to your question is (7.5.4

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 1 ) and (x₂, y₂ ) = (3, - 5 )

m = [tex]\frac{-5-(-1)}{3-5}[/tex] = [tex]\frac{-5+1}{-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

Answer:

$22.55

Step-by-step explanation:

To find the tax due divide 8.2% by 100 to convert it into a decimal which equals to .082 . Next multiply 275 by .082 which gives you $22.55.

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Answer:

  1.3854 liters

Step-by-step explanation:

1000 cm³ = 1 liter

1385.4 cm³ = 1.3854 liters

Answer:

Step-by-step explanation:

I am rich now

Answer:

The answer would be 1.17.

Step-by-step explanation:

Step-by-step explanation:

3x - y = -11

(-15) + 4 is 11 hence RHS = LHS

To factor, we need to find out which 2 numbers add up to -10 and multiples to be 21.

The factors of 21 are 1, 3, 7, 21.

From there, we can conclude that -3 + -7 = -10 and -3 * -7 = 21

Hence when you factor the expression, you get:

(x-3)(x-7)

Answer:

x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]

y = -1

-4(-1) - 3x = 9      

    4 - 3x = 9

    4 - 4 - 3x = 9 - 4

   - 3x = 5

[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]

[tex]x = - \frac{5}{3}[/tex]

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

Work Shown:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]

A population of 32,000 with a 5% annual growth rate would be modeled by the equation:

y=32000(1.05)t

with t in years.

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Answer:

  x = 22.5°

Step-by-step explanation:

The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:

  2x +(180 -4x) = 6x

  180 = 8x . . . . . . . add 2x and simplify

  22.5 = x . . . . . . . divide by 8

The value of x is 22.5°.

Answer:

x = 7

Step-by-step explanation:

These angles are corresponding angles which mean that they're equal to each other:

7x - 4 = 5x + 10

7x - 5x = 10 + 4

2x = 14

x = 14/2

x = 7

r = -6

Step-by-step explanation:

The slope of a line is defined as

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write

[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]

or

[tex]r - 2 = -8 \Rightarrow r = -6[/tex]

Answer:

Refer to this image of standard angles

Answer:

2,300

Step-by-step explanation:

the number in the tens digit is less than 5 so the 3 in the hundreds place does not round up.

Answer:

refer to the picture attached for steps

Step-by-step explanation:

hope it helps

d option

Answer:

58

Step-by-step explanation:

35 - 4 (5 - 9) + 7

Opening Brackets

= 35 - [4 x (-4) ] +7

= 35 + 16 + 7

Answer:

68/3 in decimal also Know as 22.67

explanations:

STEP 1: you first of all convert to a fraction 7 2/5=107/15

STEP 2: so the next one 5 2/3 = 17/3

STEP 3: so the next one 9 13/15= 148/15

so after that we add all the answers from step 1-3

which is : 107/15 + 17/3 + 148/15= 68/3.

hope you understand with this few explanations of mine .

pls follow.

thanks.

Answer: C

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V=Bh (with B being the area of the base).

h=V/B, or 456/24, or 19.