Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary

Answers

Answer 1

Answer:

[tex]P(A\ n\ B) = 0.557[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.78[/tex]

[tex]P(B) = 0.65[/tex]

[tex]P(A\ u\ B) = 0.873[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

From laws of probability, we have:

[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]

Substitute in values

[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]

[tex]P(A\ n\ B) = 0.557[/tex]

Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557


Related Questions

It's math Question i need Your help---)​

Answers

Answer:

1no

125

2no

12.9

hope that this will help u

Find the measure of angles 1,2 and 3

Answers

Answer:

1-75    2-105    3-35

Step-by-step explanation:

1-  180-75-30=75

2-  180-75=105

3-   180-105-40=35

Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...

Answers

Answer:

12

Step-by-step explanation:

[tex]a_{n-1}=12\\\\

Plug\: n = n + 1\\\\

a_{n+1-1}=12\\\\

\huge \red {\boxed {a_{n}=12}} \\\\[/tex]

factor 7x+35 PLEASE HELP

Answers

Answer:

7(x+5)

Step-by-step explanation:

The greatest common factor is 7

7*x + 7*5

Factor out the 7

7(x+5)

7(x+35) is the answer I think

Help!! I will mark brainiest!!

Answers

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

ANSWER ASAP FOR BRAINLIESTT

Answers

It was really fun 4639

somebody please help

Answers

Answer:

169

Step-by-step explanation:

13²

=169

his figure is made from part of a circle and part of a square.

Answers

Answer:

What?

Step-by-step explanation:

That was pretty deep

why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

(-2)^3=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?

Answers

We conclude that Vincent has raised a total of $7.50

how much money has Vincent raised?

We know that initially, he has 20 candy bars.

He sells 3/10 of that total number, so the number of candy bars sold is:

N = (3/10)*20 = 6 candy bars.

And sells each for $1.25, so the total amount that has Vincent raised is:

R = 6*$1.25 = $7.5

We conclude that Vincent has raised a total of $7.50

If you want to learn more about fractions:

https://brainly.com/question/11562149

#SP1

I forgot how to simplify like this can someone explain to me how i do this?

Answers

Answer:

Just subtract 11 from 7.

Answer:

-4

Step-by-step explanation:

What is the value of the expression below?
8 *divide* 2 + 6x5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.

Answers

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF


b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)

Answers

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. [tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

[tex] \overline{AB} \cong \overline{DE} [/tex]

[tex] \overline{BC} \cong \overline{EF} [/tex]

[tex] \overline{AC} \cong \overline{DF} [/tex]

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?

Answers

Answer:

30 degrees

Step-by-step explanation:

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?

Answers

Answer:

Answer is 36,220

Step-by-step explanation:

can someone help me fill this out....​

Answers

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

Can someone please tell me if the following relations are functions please?

Answers

yes the first one is a function. The second one with the arrows is not.

Simplify 2 x × − 3 x × − x

Answers

Answer:

[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]

Step-by-step explanation:

[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.

Help me solve this please

Substitute to solve

Brainliest for correct answer

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

x=3/5 y=-2.5

Step-by-step explanation:

3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?

Answers

Answer:

Total cost= $768.66

Step-by-step explanation:

Giving the following information:

Production= 15 units

Standard quantity= 14 pounds per unit

Standard cost= $3.66 per pound

First, we need to calculate the total pounds required to make the hamburgers:

Total pounds= 14*15

Total pounds= 210 pounds

Now, the total cost:

Total cost= 210*3.66

Total cost= $768.66

between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year

Answers

Answer: Approximately 4.333 cubic miles

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:

1. The amount of plant food remaining in the container after each days study.

2. The height of the plant over time.

Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question

Determine the domain and the range for this relationship.


0≤y ≤6


0 ≤x ≤72


{0, 12, 24, 36, 48, 60, 72}


0 ≤x ≤6


{0,1,2,3,4,5,6}


{0,6,12,18,24,30}


0 ≤y ≤72

Answers

Answer:

Domain: [tex]0\leq x\leq 6[/tex]

Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]

Step-by-step explanation:

Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.

[tex]x[/tex] be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].

So, the function will be

[tex]y=f(x)=72-12x[/tex]

at

[tex]x=0,y=72[/tex]

[tex]x=1,y=72-12\times 1=60[/tex]

[tex]x=2,y=72-12\times 2=48[/tex]

[tex]x=3,72-12\times 3=36[/tex]

[tex]x=4,72-12\times 4=24[/tex]

[tex]x=5,72-12\times 5=12[/tex]

[tex]x=6,72-12\times 6=0[/tex]

Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].

Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].

4x²-6xy
PLZ
HELP
I
GIVE
5
STARS

Answers

yep I get the same thing what the other person is right

8.78 + 6.2 show you work

Answers

Answer:

14.98

Step-by-step explanation:

1

8.78

6.20

---------

14.98

Answer:

14.98

Step-by-step explanation:

8.78

+6.2

--------

14.98

you want to imagine 6.2 like 6.20

so...

8.78

+6.20

----------

14.98

the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98

hope this helps :)

Which of the following statements best describes the location of -(-6) on a number liner

A. It is 6 units to the left of 0.

B. It is 6 units to the night 6.

C. It is 6 units to the right of 0.

D. It is 6 units to the left of 6.​

Answers

The answer is A!!!!!!
Answer:
C. It is 6 units to the right of 0.

Explanation:
-(-6) can be rewritten as 6 because two negatives next two each other make a positive. 6 is 6 units to the right of 0, so therefore, -(-6) is also 6 units to the right of 0.

I hope this helps!
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