A company sells, amongst other products, a medicated shampoo. The shampoo is sold in container sizes that are labeled as containing 500 ml. The volume of liquid that is actually put into the containers is normally distributed with a mean of 510 ml and a standard deviation of 10 ml.

(a) Estimate the probability that a container chosen at random will hold

(i) more than 520 ml
(ii) between 495 ml and 515 ml
(iii) less than the advertised amount

Answer: $65; $35+r•2

Step-by-step explanation:

So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.

9514 1404 393

Answer:

  200

Step-by-step explanation:

If P is the total number of plates, we have ...

  0.59P = 118

  P = 118/0.59 = 200

There are 200 plates total.

Answer and explanation:

Given that there is 45% off original price of outdoor furniture and price is represented by p

Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p

Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Answer:

3 + 35 = 38?

Step-by-step explanation:

Answer:

21 I think, might be wrong.

Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Answer: x = -5

Step-by-step explanation:

-3.4x - 9 = 8

         +9  +9

    -3.4x = 17

-3.4x ÷ -3.4 = x

17 ÷ -3.4 = -5

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer:

2

Step-by-step explanation:

yaw

Answer:

2

Step-by-step explanation

Got it correct in Edgen :D

Answer:

Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2

=0.823

Step-by-step explanation:

Multinomial distribution

p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)  

The rat chooses of the three exists at random:

p = 1/3

p(3,2,1) = 6! / 3! 1!  2! (1/3)^3 (1/3)^1 (1/3)^2

              =20/243

              =0.823

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

Learn more about equations at

https://brainly.com/question/2972832

#SPJ2

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

Given f(x) = 14(5−x)², the value of f(11) = 504

The given function is:

f(x) = 14(5 - x)²

To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²

f(11) = 14(5 - 11)²

Simplify the expression

f(11) = 14(-6)²

f(11) = 14(36)

f(11) = 504

Therefore, given f(x) = 14(5−x)², the value of f(11) = 504

Learn more on function here: https://brainly.com/question/10439235

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

Answer:

no rocky

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I think it's C and I am always right so it is C! You're welcome!

Answer:

I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.

Step-by-step explanation:

They both have the same slope and different y intercept so they will never intersect

Answer:

53.52°

Step-by-step explanation:

cos x° = 22/37 = 0.59456

x = 53.52°

Answer:

a) % age of samples containing none of these defects = 93.9%

b)% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect = 98.9%

Step-by-step explanation:

Data Given:

Number of Samples = 1000

Type X defect = 2.1% = 21 samples

Type Y defect = 2.4% = 24 samples

Type Z defect = 2.8% = 28 samples

Both Type X and Y defect = 0.3% = 3 samples

Both Type X and Z defect = 0.4% = 4 samples

Both Type Y and Z defect = 0.6% = 6 samples

Type X and Y and Z defect = 0.1%  = 1 sample

Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.

a) % age of samples containing none of these defects.

Solution:

Number of samples containing none of these defects = Total - Samples with defects

Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

 Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }

Number of samples containing none of these defects = 1000 - 61

Number of samples containing none of these defects = 939

% age of samples containing none of these defects = 939/1000 x 100

% age of samples containing none of these defects = 93.9%

b) % age of samples containing at least one of these defects:

We have already calculated this above, number of samples containing at least on of these defects:

number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }  

number of samples containing at least on of these defects = 61

% age of samples containing at least one of these defects = 61/1000 x 100

% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects.

For this find, we need to find the samples with only Z Type defect.

Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

Number of Samples with Only Z type defects = { (28)  -(4) - (6) + (1) }

Number of Samples with Only Z type defects = 19

Now, we also know the number of samples without any defects = 939

Now,

The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects

The number of samples free of type X and/or type Y defect = 19+939

The number of samples free of type X and/or type Y defect = 958

% age of samples free of type X and/or type Y defects = 958/1000 x 100

% age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect:

For this find, we need to find number of samples with only X type and with only type Y and with only type Z.

We have already found the number of samples with only Z type defect = 19

Now,

number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only X type defect =  { (21)  -(4) - (3) + (1) }

number of samples with only X type defect =  15

Similarly,

number of samples with only Y type defect =  { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only Y type defect =  { (24)  -(6) - (3) + (1) }

number of samples with only Y type defect =  16

For,

samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects

samples with not more than 1 defect = 939 + 16 + 15 + 19

samples with not more than 1 defect = 989

%age of samples with not more than 1 defect = 989/1000 x 100

%age of samples with not more than 1 defect = 98.9%

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the system of equations

2x - 5y = -5    --- [Equation 1]

y = -3x + 1​      --- [Equation 2]

converting the equation 1 in the slope-intercept form

2x - 5y = -5

5y = 2x+5

divide both sides by 5

y = 2/5x + 1

Thus, the y-intercept  = 1

Now, please check the attached graph below.

The red line represents the equation  2x - 5y = -5

From the graph, it is clear that the red line has the y-intercept y = 1.

Now, considerng the equation 2

y = -3x + 1​  

comparing with the slope-intercept form of line equation

The y-intercept b = 1

Hence, the y-intercept of the line y = -3x + 1​ is y = 1

The green line represents the equation  y = -3x + 1​  

From the graph, it is clear that the green line has the y-intercept y = 1.

Point of Intersection:

It is clear from the graph:

As both lines meet or intersect at the point (0, 1).

Therefore, the point of intersection of both the lines is:

(x, y) = (0, 1)

As we know that the point of intersection of both the lines represents the solution to the system of equations.

Therefore, (0, 1) on the graph represents the solution to the system of equations.

The graph is attached below.

Answer:

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%