30 POINTS
A fabric paint manufacturing company fills the paint in containers using a machine. The amount of paint in a container follows a normal distribution with a mean of 99 ml and a standard deviation of 5 ml. What is the probability that the quantity of paint filled is less than 100 ml? A) 0.28 B) 0.42 C) 0.58 D) 0.92

Answers

Answer 1

Answer:

The correct answer is C) 0.58

Step-by-step explanation:

All this is from USATESTPREP:

The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.


Related Questions

if x is reduced by 25%. the result will be

Answers

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]

[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]

hope helpful~

The reduced quantity if x is reduced by 25% is 0.75x.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

x is reduced by 25%,

Calculate the 25% of x as shown below,

25 / 100 × x

0.25x

Calculate the reduced quantity,

Reduced quantity = x - 0.25x

Reduced quantity = x(1 - 0.25)

Reduced quantity = 0.75x

To know more about percentages:

brainly.com/question/20818421

#SPJ2

Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

Ricky spends $103. 19 in additional interest and charges on monthly payments as the result of a prior bankruptcy. If Ricky had been able to save this money for one year and then put it into a savings account earning 3. 1% simple interest, how much money could he have in savings after two more years? a. $1,238. 28 b. $1,276. 67 c. $1,315. 06 d. $2,476. 56.

Answers

The amount of money  he could have in savings after two more years is:c. $1,315. 06.

First step is to calculate the 12 month saving

Saving= 12 month × $103.19

Saving = $1238.28

Second step is to calculate the interest earned

Interest = Prt

Interest= $1238.28×·0.031×1

Interest= $38.39

Third step is to calculate the balance after 2 years

Saving= $1238.28 +(2 years × $38.39)

Saving= $1238.28 +$76.78

Saving= $1315.06

Inconclusion the amount of money  he could have in savings after two more years is:c. $1,315. 06.

Learn more about interest here:

https://brainly.com/question/16134508

Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing

Answers

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m


f(x) = -x - 14
Find x if f(x) = -2

Answers

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12

PLEASE HELP! Give explanations down below please! Thanks I am timed

Answers

Answer:

you need to divide all number

4 more to go-2 + (-2) × -2 + (-2) ÷ -2

Answers

Let's se

-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21

Done!

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

27 ounces

Step-by-step explanation:

36 / 4 = 9 x 3 = 27

Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.

Answers

An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

The maximum height is given as:

[tex]h_{max}= 10ft[/tex]

And the time spent is:

[tex]t = 3s[/tex]

So, the vertex of the ball would be:

[tex]Vertex = (t/2,h_{max})[/tex]

This gives

[tex]Vertex = (3/2,10)[/tex]

[tex]Vertex = (1.5,10)[/tex]

Rewrite properly as:

[tex](h,k) = (1.5,10)[/tex]

The ball is on the floor after 3 seconds.

So, another point on the graph is:

[tex](x,y) = (3,0)[/tex]

A quadratic equation is represented as:

[tex]y=a(x - h)^2 + k[/tex]

Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]0=a(3 - 1.5)^2 + 10[/tex]

[tex]0=a(1.5)^2 + 10[/tex]

Evaluate the exponent

[tex]0=2.25a + 10[/tex]

Subtract 10 from both sides

[tex]2.25a =- 10[/tex]

Divide both sides by 2.25

[tex]a = -\frac{10}{2.25}[/tex]

Multiply by 4/4

[tex]a = -\frac{40}{9}[/tex]

Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

See attachment for the graph that models the path

Read more about quadratic functions at:

https://brainly.com/question/11441586

4.5 times 9 times 6.5 please make it a fraction or whole number also no links bots or anything like that please

Answers

Answer:

263.25

Step-by-step explanation:

Your welcpme and stay safe

Answer:

fraction; 263.25/100

whole number; 263

Step-by-step explanation:

4.5 × 9 × 6.5;

4.5 × 6.5 = 29.25

29.25 × 9 = 263.25

2+5+8+….+3n-1=n(3n+1)/2

Answers

Answer:

all you do is() first divide then go from left to right answers 4

please help me write an expression for area and perimeter for this rectangle ​

Answers

[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]

The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.

Answers

Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?

Answers

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)

If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?

Answers

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

Find the distance between the origin and (-12,-9)​

Answers

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Answer:

Therefore, the distance between the point of origin and (-12, 9) is 15.

Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!

Answers

Answer:

4

Step-by-step explanation:

Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.

hope this helps!

help me with this pls

Answers

Answer:

-49

Step-by-step explanation:

Make sure you understand the difference between

-3² and (-3)²

-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9

(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9

Ok, now we can start. Use the correct order of operations.

-3² + (2 - 6)(10) =

= -9 + (-4)(10)

= -9 + (-40)

= -9 - 40

= -49

(Look at the picture ) Consider the graph of the function f below.
N0.6
(4.6
6
(3.4)
21 8(2.2)
-6
-8
-4
-2
0
2
4
6
8
What is the value of f (4)?
1
A
B
3
С
6
D
14

Answers

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

these are so confusing, can someone explain how to do this

Answers

Answer:

4

Step-by-step explanation:

x/2 +6 = 8

subtract 6 from both sides

x/2 = 2

multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4

Hope that helps

Answer:

  x = 4

Step-by-step explanation:

The left side of the equation has a variable term (x/2) and a constant term (6).

The right side of the equation has a constant term (8).

This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.

Step 1:

Subtract the left-side constant from both sides.

  x/2 +6 -6 = 8 -6

  x/2 = 2 . . . . . simplify

Step 2:

Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...

  2(x/2) = 2(2)

  x = 4 . . . . . . simplify

_____

Additional comment

The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.

  [tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]

1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.

When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.

As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.

__

Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.

  (1/2)x . . . . with or without the parentheses

  0.5x

  x/2

frEE po ints

Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?

Answers

Answer:

Part A, 3550$

Part B, Ten female ferrets left

Step-by-step explanation:

. . . .. . . .. . . .. so easy

Answers

Answer:

i aint smart but im a the last one 4/8

Answer:

The answer is 4/8.

Step-by-step explanation:

Because 4 is half of 8 while the others are either 1 more or 1 less then half or just don't make half at all. So the only answer here that makes sense is 4/8

(pls do tell me if I'm wrong)


Please help answer this question also with explanation

Answers

You would have to calculate the percent first.
Add the total number of students
3420+4680= 8100 students TOTAL

Then you would divide the amount of students by the total

3420 part time/8100 students total = .42 or 42%

4680 full time/8100 total = .58 or 58%

Then you multiply the percentages by 90

(90)(.58)= 52.2

(90)(.42)= 37.8

Rounded

52 full time and 38 part time students

Just checking, am I correct?

Answers

Answer: yes!

Step-by-step explanation:

Answer: As to what I am seeing i think you are doing fine

Step-by-step explanation:

Great Job

What is the equation of the line in standard form?​

Answers

(2,2)

Step-by-step explanation:

You have to add them together and minus the negatives

Need help on this one thanks

Answers

Answer:

Y = 10/7X + 4

Y intercept = 4

Slope = 10/7

X intercept = -40/7

Step-by-step explanation:

Incase you are asked the equation of the line

The slope intercept equation is as follows -

(1)....Y = mx + b

where m - Slope

b - Y - intercept

the standard formula of slope which is commonly referred to as "the rate of change" is -

(2) .....m= Y2 - Y1 / X2 - X1

in this case you can refer to the final and initial X and Y values directly from the small points on the line.

and so(3)..... - X1 = -6 X2 = 6

- Y2 = 9 Y1 = -1

the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.

thus, X = 0 & Y = 4 ( 0 , 4 )

now lets substitute our values(3) into the slope formula (equation 2)

m = 9 - - 1 / 6 - - 1 = 10/7

now that we found the line's slope, let's simply plug the y intercept

into the slope intercept formula (1)

Y = 10/7X + 4

X
-9
-5
-1
3
Y
- 2
0
2
4
What is the slope of the line?

Answers

ok done. Thank to me :>

Arrange in descending order: 101.121, 111.101, 101.112, 110.111

Answers

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

111.101, 110.111, 101.121, 101.112

Hope it helps :)

M(ax+by+c)=0 make y subject

Answers

[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]

What is 2a・420 divided by 3z when z=34 and a=56

Answers

461.176470588

Explanation:

2×56=112

112×420=47040

---------------------------------

3×34=102

---------------------------------

47040÷102=461.176470588

Other Questions
Which is the best strategy when you find too much information. Describe the deaf president now movement. tiempo de espera en garitas mexicali calexico la cronica which of these groups include organisms that are mostly closely related PLS HELP. NO LINKS. NO SCAM.What is the purpose of the underlined part of the sentence? One of Jin's greatest joys in life is sledding down the hill in the park. A. It is a gerund that names an action.B. It is a participle that modifies the word hill.C. It is a participle that modifies the word down.D. It is a gerund that states who performs an action. How to graph a linear function from slope-intercept form As Earth circulates the sun, it travels at aspeed of 20 miles per second. Convertthis speed to kilometers per second. Atthis speed, how many kilometers willEarth travel in 8 seconds? Assume that 1mile is equal to 1.6 kilometers. Versailles treaty Please help (30 points) divide x +x +1 by x+ 1 by long division method When groups of molecules within liquid and gases move, it is calledkinetics.O radiation.conduction.convection. [tex] \huge{ \mathrm{question \hookleftarrow}}[/tex]Calculate equivalent resistance of two resistors R1 and R2 in parallel where,[tex] \sf R_ 1 = (6 \pm0.2 )\: \: ohms[/tex][tex] \sf R_ 2 = (3 \pm0.1 )\: \: ohms[/tex] The table shows the final score of four golfers.Golfer Final ScoreJoe-2Allen-5Tara-8Violet-4Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.score was the lowest.score was the highest.Students, draw anywhere on this slide!PER Deck eractive Skoe 1Why do people in prison have books sent to them? Which statement is true of Judaism, Christianity, and Islam? A They follow strict dietary rulesB They share the same place of worshipC They celebrate the same religious ceremoniesD They acknowledge Abraham as an important religious figure. yooo i have not been on here for like a year or so. whats poppin ( I will give brainliest! ) What is the simplified expression of4x + 2(3x + 7) - 7x? Can someone pls help like plss A student borrows $60,000 for business school at 6.5% stated annual interest with equal monthly payments over 10 years. Consider this as a loan with no payments or interest during school so that the problem structure is equivalent to a standard loan received one period before the first payment. How much is the monthly payment? What effect does the point of view have on a story?what information is revealedwhether it will be a linear or non-linear plotwhat the resolution will bewhat conflicts can arisewhat the setting will be geometry PLEASE HELP and explain how???