A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is

Answers

Answer 1

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006


Related Questions

Math- bbbbbbbbbbbbbbb

Answers

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Hope this helps!! :D

The hypotenuse of a right triangle is 10cm long. One of the triangle’s legs is three times the length of the other leg. Find the lengths of the three sides of the triangle. In case of non-integer answer(s), round your answer(s) to the nearest hundredth.

Answers

Answer:

side_1 = 10

side_2 = 3.16

side_3 = 9.49

Step-by-step explanation:

pitagora's theorem

[tex]x^2+(3x)^2=10^2\\x^2+9x^2=10^2\\10x^2=10^2\\x^2=10\\x=\sqrt{10}[/tex]

CAN SOMEONE HELP ME PLS

Answers

the answer would be A
a dilation changes the shape of a figure while the others stay the exact same, they’re just in a different spot.

A because they are preserving? I guess that's the best way for me

Jordan’s Cat Fern is a finicky eater. Jordan is trying to determine which of two brands of canned cat food Fern prefers.

Answers

Answer:

There is significant difference in difference in the amount of food ferns eat ; and the preferred is TAB-a-cat.

(0.216, 5.984)

Step-by-step explanation:

This is a 2 sample t test test problem :

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

x1 = 85.2 ; x2 = 82.1 ; n1 = 31 ; n2 = 30 ; s1 = 3.45 ; s2 = 4.62

The test statistic :

T = (x1 - x2) / √(s1²/n1 + s2²/n2)

T = (85.2 - 82.1) / √(3.45²/31 + 4.62²/30)

T = 3.1 / 1.0466

T = 2.96

Using the Pvalue from Tstatistic calculator :

df = smaller n - 1 = 30 - 1 = 29

Pvalue(2.96, 29) = 0.006075

α = 0.05

Pvalue < α ; We reject the Null and conclude that there is significant difference in difference in the amount of food ferns eat.

99% Confidence interval :

The test statistic :

(x1 - x2) ± Tcritical *√(s1²/n1 + s2²/n2)

Tcritical at 99% = Tcritical(0.01, 29) = 2.756

(85.2 - 82.1) / 2.756*√(3.45²/31 + 4.62²/30)

3.1 ± 2.8844296

Lower boundary = (3.1 - 2.8844296) = 0.216

Upper boundary = (3.1 + 2.8844296) = 5.984

(0.216, 5.984)

Since interval does not contain 0, then, we reject the Null.

Mark congruent angles. Write down the ratios.

Answers

Answer:

ratio=AC/FD=AB/ED=BC/FE

Step-by-step explanation:

I need help with all of these ASAP thank you so much

Answers

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

Jamie will plot ( 9, 5 ) on a coordinate plane. She knows the last step is to put a point where to lines intersect. Which two steps should she use first?

Answers

Answer:

Step-by-step explanation:

54

I think

determine the solutions to 12x^2 + 10x + 2 = 0 by factoring

Answers

Answer:

[tex]x = - \frac{1}{3} , - \frac{1}{2} [/tex]

Step-by-step explanation:

2(6x²+5x+1)=0

2(3x+1) (2x+1)=0

either: 3x+1=0 —> 3x=–1 —> x= –1/3

or: 2x+1=0 —> 2x=–1 —> x = – 1/2

Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4

Answers

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

Answer:

A=10>5+4

B=10>5+4

C=1<5+4

D=11>5+4

Step-by-step explanation:

please help me asap! i’ll give brainliest!

Answers

Answer:

1/9

Step-by-step explanation:

First find the area of each circle with the formula a= Pi(r^2)

Area of circle with a radius of 4

a= Pi(4^2)

a= 16pi

Area of circle with radius of 12

a= Pi(12^2)

a= 144pi

Now use these values to represent the areas of the circles as a ratio

16pi/ 144pi

The pi's cancel out in this ratio

So we are left with

16/144

We can then go ahead and simplify these numbers as well to get the ratio in the simplest form

1/9

Can someone please help?

Answers

Answer:

It is closer to 7,000 than 8,000

it is closer to 7000 than 8000

What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?

1. −1
2. 1
3. 7
4. 17

Answers

Answer:

hhhhhhhhhhooooooooooooooooooooo

Step-by-step explanation:

4m+2(m+1) = 9m +5
4m+2m+2=9m+5
6m+2=9m+5
6m-9m=5-2
-3m =3
m=3/(-3)
m=-1

A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?​

Answers

Answer:

$3

Step-by-step explanation:

4 friends = $12

4/12= 3

Answer:

$3

Step-by-step explanation:

12 total divided by four people meanig they each payed $3 12/4 = 3

Leah asked for one and 1/2 pounds of fish at the grocery store which value is equivalent to 1 1/2

Answers

Answer:

3/2

Step-by-step explanation:

make into a improper fraction

Find the sum and Express it in simplest form. (u^3+3u^2+3) + (-6u^3-8u^2)

Answers

Answer:

-5u^3 - 5u^2  + 3.

Step-by-step explanation:

(u^3 + 3u^2 + 3) + (-6u^3 - 8u^2)

= u^3 + 3u^2 + 3 - 6u^3 - 8u^2

= u^3  - 6u^3 + 3u^2 - 8u^2 + 3

= -5u^3 - 5u^2  + 3.

Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6

Answers

9514 1404 393

Answer:

  C. 18:162

Step-by-step explanation:

Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.

The ratio of choice C is directly obtained from the figure, so is probably the best choice.

FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS

Answers

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

m<ABD+27=180m<ABD=180-27m<ABD=153°

Find the volume of the cylinder?

Answers

Answer:

1520.53

Step-by-step explanation:

Hope it helps u

Please mark as brainliest

Thank You

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

What is the cost when the tow plans cost the same?

Answers

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

Fill in the missing monomials: 49y4x6= (_______)2

Answers

Answer:

7y²x³

Step-by-step explanation:

when taking an exponent to an exponent multiply them

(7y²x³)² = 49y⁴x⁶

Please help Solve log7-2b-9=6

Answers

Answer:

See the image below:)

Step-by-step explanation:

Who has larger pieces of pizza? Joey has a slice of pizza cut from pizza with a radius of 8 in and cut into 6 slices. Susie has a slice of pizza cut from a pizza with a radius of 9 in and cut into 8 slices

Answers

Joey has larger peices of pizza in my opinion.

Which one of these is written in the slope-intercept form? A. x = mb + y B. x + y = 1/3m C. y = mx + b B. y + b = m+ x

Answers

Answer:

C

Step-by-step explanation:

y = mx + b is the standard form of a Slope-Intercept

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?

Answers

Answer: we need to survey 2285 Americans.

Step-by-step explanation:

When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-

[tex]n=p(1-p)(\frac{z^*}{E})^2[/tex], where E = margin of error , z* = critical z-value.

Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96

Required sample size: [tex]n=(\frac{1.96}{0.02})^2(0.61)(1-0.61)[/tex]

[tex]=(98)^2(0.61)(0.39)\\\\=9604(0.61)(0.39)\\\\\approx$$2285[/tex]

Hence, we need to survey 2285 Americans.

What does the following translation rule mean? (x+3, y-5) *
O
Move left 5 and up 3
Plot the point (3,-5)
Move upside down 3 and a little to the left 5
Move right 3 and down 5

Answers

Answer: D) move right 3, down 5

==========================================================

Explanation:

The x+3 means "move right 3". We add 3 to whatever the x coordinate is.

For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.

Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).

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

Extra info:

We can write the translation rule as [tex](x,y) \to (x+3, y-5)[/tex]

With this notation, we can then say something like this for example

[tex](x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\[/tex]

Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".  

help!

Write an equation for the line on the graph below:

Answers

Answer:

y = 3

Step-by-step explanation:

If you find the values of all the points of the line, it has y as 3.

Feel free to mark this as brainliest :D

Help besties please flip the picture to see better

Answers

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Can anyone help me with my math I have a picture of it

Answers

Sure. ............ where is the picture .

Stephen, Gavin and Jim share
some sweets in the ratio 3:1:2.
Stephen gets 24 sweets. How many
sweets are there altogether?

Answers

Answer:

There are 48 sweets altogether.

Step-by-step explanation:

Ratio: 3:1:2

Stephen: 24 sweets

24/3 = 8

Fill in ratio.

24:8:16

24 + 8 + 16 = 48

Answer:

48 sweets

Step-by-step explanation:

Stephen : Gavin : Jim

3 : 1 : 2

We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).

If Stephen gets 24 sweets, this means

3 parts = 24

So to find 1 part, divide 24 by 3.

1 part = 8 sweets

Now we can find the total by multiplying this by 6.

6 parts = 8 x 6 = 48 sweets.

What is the diameter

Answers

Answer:

From J to K is the diameter

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