Can you help please?

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:

The answer to your question is (7.5.4

9514 1404 393

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:

5 + 3 = 1 6

8 = 1 6

8 = 1 6

8 /8 = 1 6 /8

= 2

Answer:

There are 719,115.8179 KG of fuel stored in the external tank

Step-by-step explanation:

102619.377 + 616496.4409 = 719,115.8179

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 in the picture.

A function assigns the values. The value of f(g(x)) is 50x² + 140x + 93.

A function assigns the value of each element of one set to the other specific element of another set.

Given the value of f(x)=2x²-5 and g(x)=5x+7, therefore, the value of f(g(x)) can be written as,

f(g(x)) = 2(5x+7)²-5

f(g(x)) = 2(25x²+49+70x)-5

f(g(x)) = 50x² + 98 + 140x - 5

f(g(x)) = 50x² + 140x + 93

Hence, the value of f(g(x)) is 50x² + 140x + 93.

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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:

400.

Step-by-step explanation:

(2-2x+x²)⁵

=  x^10 - 10 x^9 + 50 x^8 - 160 x^7 + 360 x^6 - 592 x^5 + 720 x^4 - 640 x^3 + 400 x^2 - 160 x + 32

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.  

9514 1404 393

Answer:

  1.3854 liters

Step-by-step explanation:

1000 cm³ = 1 liter

1385.4 cm³ = 1.3854 liters

Answer:

68*

Step-by-step explanation:

90-22=68

Answer:

116

Step-by-step explanation:

you can use variables

a+b=110

a+c=112

a+d=113

b+c=118

b+d=121

add up the weights and you get 574 kg (you need to find c+d)

3a+3b+2c+2d=574

a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3

you are left with c+d=116

Answer:

$12,000

Step-by-step explanation:

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

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

Answer:

The answer is -2/2x=1

Step-by-step explanation:

Its the second graph on edge

Answer: it’s 2 and 6

Step-by-step explanation:

Answer:

The answer would be 1.17.

Step-by-step explanation:

Answer: They are not inverse.

Step-by-step explanation:

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:

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.

9514 1404 393

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:

$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.

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.

Step-by-step explanation:

3x - y = -11

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

Answer:

$84

Ruby started with $84 before purchasing the school supplies.

Step-by-step explanation:

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

Answer:

P = -3r -5t + 25

r(-2): P = -5t + 31

r(-5): P = −5t + 40

r(5): P = −5t + 10

t(4): P = −3r + 5

t(-4): P = −3r + 45

t(8): P = −3r − 15

Answer:

135%

Step-by-step explanation:

Answer:

35% increase

Step-by-step explanation:

27-20=7

7/20=0.35

Answer:

[tex]8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}[/tex]

Answer:

10:5

Step-by-step explanation:

The simplest form of the ratio 10 seconds to 5 min will be;

⇒ 1 : 30

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio is,

⇒ 10 seconds to 5 minutes.

Now,

Since, The ratio of two numbers has always same units.

So, We change 5 minutes into seconds as;

Since, 1 minutes = 60 seconds

Hence, 5 minutes = 5 x 60 seconds

                            = 300 seconds

Thus, The ratio becomes,

⇒ 10 seconds to 300 seconds

⇒ 10 : 300

⇒ 10 / 300

⇒ 1 / 30

⇒ 1 : 30

Thus, The simplest form of the ratio 10 seconds to 5 min will be;

⇒ 1 : 30

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Answer:

[tex]5[/tex]

Step-by-step explanation:

answer= 5

2+1+2=5

2=1+1

1

2=1+1

5 one

thx for following me