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

Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.

StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.

Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain.

Answers

yes, because slope is the steepness of a line. if the steepness of those two lines are the same, you will have to expand the x-axis (the length of the first ramp).

Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.

Answers

Answer:

I believe the answer is 47. Forgive me if I'm wrong

how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester

Answers

1. You can do this 18/48x18/48x18/48x 18/48 and so on. X is not a variable
2. You can write down a power or in text you use a carrot or a ^ and write 18/48^10

64 divided by 1184 worked out

Answers

Answer: 18.5

Step-by-step explanation:  1184/64= 18.5

In the equation = + , what does b represent?

Answers

Answer:

Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:

y = 2x + b [or y = mx+b]

b is the y-intercept.

Step-by-step explanation:

In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).  

What is the value of x?
A. 24
B. 33
C. 72
D. 75​

Answers

Answer:

B.  x = 33

Step-by-step explanation:

B is the right answer

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 72, 12, 2,

Answers

Answer:

divide by 6

Step-by-step explanation:

a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?

Answers

Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...

If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?

Answers

Hey there. I like to lay out this sort of question in this way…

2 caterpillars = 6 leaves

We’ve been told to work out how many leaves 12 caterpillars eat each day.

So we can fill in our extra information…

2 caterpillars = 6 leaves
12 caterpillars = x leaves

From 2 to 12, we have multiplied by 6. What we do to one side, we must do to the other. Therefore, 6 x 6 = 36 leaves.

So for 12 caterpillars, they eat 36 leaves each day.


Answer:

72 Leafs

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The variable f models the fee (in dollars) for climbing d meters.
f=110+0.12d
What is the initial fee?

Answers

110 is the initial fee.

intial fee is the y-intercept.

What is (f •g)(x)
f(x)= -3x^2-5x
g(x)=5x

Answers

Answer:

sorry I didnt get you. whats the mean of ^ symbole.

Can someone please help me with this easy math problem?

Answers

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

enter an algebraic expression for the word expression.
2 decreased by n​

Answers

Answer:

2 - n

Step-by-step explanation:

2 decreased by n means n less than 2.

Answer:

Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14

Step-by-step explanation:

2-n       Plz mark brainliest if correct

a calculus problem that i have no idea what to do please help

Answers

Answer:

-[tex]\sqrt{5}[/tex]/8

Step-by-step explanation:

so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.

rewrite the function to be -(5h)^1/2

then take its derivative using power rule and chain rule

-(1/2)*(5)*(5h)^(-1/2)  **the five comes from the chain rule and taking the derivative of the 5h

then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795

In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?

Answers

r/b = 2/3, so r = 2/3 b
(r-3)/b = 3/5
5(r-3) = 3b
5(2/3 b - 3) = 3b
Just solve for b

EASY QUESTION! MARK BRAINLIEST!

if i pay $3.50 a month how much do i pay a year? :)))

Answers

Answer:

42

Step-by-step explanation:

3.50x12 = 42

Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2

Answers

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

The Answer is C.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5

Max points i need this for finals

Answers

Answer:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]

X = -4 – -2 = -2

Y = 4 – 10 = -6

[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]

Equation of the line:

y = 3x + 16

When x=0, y = 16

When y=0, x = -5.3333333333333

Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?

Answers

Answer:

42

Step-by-step explanation:

the half of 42 is 21 so if she mailed the half of it then she just have 21 cards

Need help quick !!!!!!!


write an equation for the nth term of the arithmetic sequence.then fine a10

Answers

Answer is attached.

Hope it helps :)

Can you help me, please?

Answers

Answer:

listen picture is not clear

What two numbers multiplied together equal 42 but when added they equal -13

Answers

Answer: -7 and -6

Step-by-step explanation:

Can someone please take the time out of They’re day and help me with this

Answers

Answer:

a. 3x = 2x + 10, b. x = 10, c. 30 degrees

Step-by-step explanation:

Angle 4 and angle 6 = 180 degrees, so

3x = 2x + 10

x = 10

Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is

(a)

3x + 2x + 20 = 180 , simplifying

(b)

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

(c)

∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°

What is the LCM of 8 and 10

Answers

40


8x5=40
10x4=40

Hope this helps

16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31

Answers

BEFORE YOU USE THE ANSWERS! I USED CALCULATOR AND IT TOLD ME THIS SO IM NOT SO SURE IF IM CORRECT!!
1: 0.16272727272
2: 0.98
3: 0.08181818181
4: 1.12888888889
5: 0.0707
6: 0.00687096774

in what step did audrey make her mistake in ​

Answers

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. (Plus could you tell me which sides i can use for starting the diagram) please help me before tmrw

Answers

Answer:

  see attached

Step-by-step explanation:

I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.

Solve the proportion
x/10=9/5

Answers

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

If a dozen exercise books cost 144, what will 14 of the same books cost

Answers

168


So you take the 144 divide 12(the dozen) so we could find how much 1 cost, it was 12. You added 2 more books so we add(12x2)+(144). That equals to 168

Hope this helps!
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