help pleaseeeeee

Let f(x) = x + 6x and g(x) = 5-x

Find (fg)(4).

Please see the attached photos. Hope this helps :). A simpler approach is to think of the probability of the opposing happening, or not getting a number greater than 7 from either draw. I personally like this style of visualization though :)

Answer:

1.97

Step-by-step explanation:

Following are the solution to the given points:

Assume A, P, and B is the masses of apples, pears, and basket, respectively.

[tex]\to W = 4A + 6P + B[/tex]

Calculating the mean of W:

[tex]\to \bold{W = E(W) }[/tex]

         [tex]\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }[/tex]

Calculating the variance of W:

[tex]\to \bold{W=Var(W)}\\\\[/tex]

         [tex]\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}[/tex]

Calculating the standard deviation of W:

[tex]\to \bold{W= \sqrt{5.3408}= 2.311017}[/tex]

The linear combination of Normal random variables is known to follow the normal distribution.

[tex]\to \bold{W \sim N(64.86 , 2.311017)}[/tex]

Calculating the Probability of the Total Weight is more difficult.[tex]\to \bold{67 = P(W > 67)}[/tex]  

         [tex]\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}[/tex] (Using Standard Normal distribution)

Therefore, the final answer is "64.86, 2.311017, and 0.1762".

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Answer:

0

Step-by-step explanation:

log b (3-3)

log b (0)

Answer:

48 and 2/5 converted into decimal form is 48.4

Answer:

[tex]48.4[/tex]

Step-by-step explanation:

[tex]48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4[/tex]

Answer:

7.77

Step-by-step explanation:

9.37 - 1.60 = Difference

Difference = 7.77

Answer:

Step-by-step explanation:

a(b+8)=

ab + 8a

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

[tex]y = f(x)[/tex]

To find the area under the curve [tex]y = f(x)[/tex] between [tex]x = a[/tex] and [tex]x = b[/tex], all we need is to integrate [tex]y = f(x)[/tex] between the limits of [tex]a[/tex] and [tex]b[/tex].

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

[tex]A=\int _a^b|f\left(x\right)|dx[/tex]

    = [tex]\int _{-2}^2\left|x^2-4\right|dx[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

   [tex]=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]

solving

[tex]\int _{-2}^2x^2dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

   [tex]=\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}[/tex]

    [tex]=\left[\frac{x^3}{3}\right]^2_{-2}[/tex]

computing the boundaries

     [tex]=\frac{16}{3}[/tex]

Thus,

[tex]\int _{-2}^2x^2dx=\frac{16}{3}[/tex]

similarly solving

[tex]\int _{-2}^24dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

     [tex]=\left[4x\right]^2_{-2}[/tex]

computing the boundaries

      [tex]=16[/tex]

Thus,

[tex]\int _{-2}^24dx=16[/tex]

Therefore, the expression becomes

[tex]A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]

  [tex]=\frac{16}{3}-16[/tex]

  [tex]=-\frac{32}{3}[/tex]

  [tex]=-10.67[/tex] square units

Thus, the area under a curve is -10.67 square units

The area is negative because it is below the x-axis. Please check the attached figure.

I believe your answer is 2954.9

Answer:

2800

Step-by-step explanation:

Interest earned = 2000 × [tex]\frac{5}{100}[/tex] × 8

                          = 800

Total earned = 2000 + 800

                      = 2800

The simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de

9 × d x e × 6

Given the task content, this implies multiplying of all variables and whole numbers in the expression in order to arrive at a common result.

9 × d x e × 6

= 54de

It is very possible to simplify a mathematical statement whether or not the variables are letters, numbers, numbers and letters, like terms and unlike terms. So from the simplification above, 9 × d x e × 6 gives 54de.

Therefore, the simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de

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Answer:

12 and 30

Step-by-step explanation:

6+6=12+6=24+6=30+6=36

Answer:

mixed form: 1 131/140

decimal form: 1.93571

Answer:

first question is 18/14 simplify it's 9/7

Second question is 13/20

Step-by-step explanation:

Hope this helps

Answer:

The answer is E.

Step-by-step explanation:

Divide it into rectangles

The measure of angle 1 is 79°

Given:

Value of angle 1 = (6x + 25)

Value of angle 4 = (10x - 11)

Find:

The measure of angle 1

Computation:

In the absence of complete question,

Assume;

Angle 1 = Angle 4

So,

6x + 25 = 10x - 11

10x - 6x = 25 + 11

4x = 36

x = 36 / 4

Value of x = 9

By putting value of x in angle 1

Value of angle 1 = (6x + 25)

Value of angle 1 = 6(9) + 25

Value of angle 1 = 54 + 25

Value of angle 1 = 79

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Answer:

  1,120 dollars interest will be paid by Joe in 4 years

Step-by-step explanation:

   4,000 times 7 ( 0.07 ) is 280, and 280 times 4 is 1,120

$311.25 is the amount deducted from the monthly paycheck, if, the annual premium for the insurance is $12,450.00 and target offers their employees group health insurance and covers 70% of the cost.

First, find the amount that the employee contributes to the cost. it can be calculated by multiplying the annual premium by the percentage they pay

$12450.00 x 70%

= $12450 x 70/100

= $8715

Now, subtract the employee's contribution from the total to find the amount that is being taken out of their pay check

12450 - 8715 = - 3735

To find the amount deducted monthly, divide the difference amount  by 12

= $3735/12

= $311.25

The amount deducted from monthly paycheck is $311.25

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Answer:

At the second store. Because 30% Of 259.99 is more than 75$.

Step-by-step explanation:

store 1.

259.99 - 75 = 184.90

stode 2.

259.99 * 30% = 78

259.99 - 78 = 181.99

The requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The question seems to be incomplete, there must be a figure that illustrates the situation,

Since, as of the given data, he might run x distance less toward the east as of the 100 feet east, and than swim, the distance is given as,
= √[x² + 80²].

And the distance run  = 100 - x.

Thus, the requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

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Answer(4,-1)

Step-by-step explanation: Go on desmos graphing calculator next time. It will show you the answer.

Answer:

I need points sorry wish I could help

Answer:

slope = - [tex]\frac{1}{2}[/tex]

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 ) = (- 10, 3 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-3}{2-(-10)}[/tex] = [tex]\frac{-6}{2+10}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

$125,500

Step-by-step explanation:

From the question we are given the following

Present amount = 10000

Inflation rate = 77%

Time = 15years

Using the simple interest method n

Get the inflation amount after 15years

SI = Principal × Rate ×Time/100

SI = 10000×77×15/100

SI = 100×77×15

SI= $115500

The amount after 15years = Present amount + interest

Amount after 15years = 10000+115500

Amount after 15years = $125500

Hence the required result is equal to $125,500

Answer:

5y-2=9

Step-by-step explanation:

Hopefully this helps :)

Answer:

Megavolt used a Systematic sampling method.

Step-by-step explanation:

From the information given:

For every 100th evil light bulbs tested, he starts with the 42nd. This implies that;

The first bulb tested is the 142nd bulb, the second bulb tested is the 242nd...

The sequence is as follows:

142nd, 242nd, 342nd, 442nd, 542nd, 642nd .... etc

From the starting point of manufacturing the evil light bulb, the sequence is derived from sampling where each nth unit is known to be a sample, and this is only feasible in systematic sampling.

Answer:

each mount she spins 15$

Step-by-step explanation:

Answer:

  (b)  FG⊥HB and FG║DE

Step-by-step explanation:

You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.

Line HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...

  FG⊥HB

Lines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...

  FG║DE