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

Can someone help me with the questions in the picture?

Answers

Answer:

25) B obtuse scalene

26) A acute isosceles

27) A acute isosceles

28) D obtuse isosceles

29) D right scalene

30) C obtuse isosceles

31) C obtuse scalene

32) C acute scalene

Step-by-step explanation:

A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.

An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.

Hope this helps :)

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

That looks like interior angle to me

x = 47 (since interior angles are congruent)

Step-by-step explanation:

I am really sleepy... :/

???? If you know it, put it down below :)) thanks!

Answers

Answer:

66

Step-by-step explanation:

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?

Answers

Answer:

the first graph is the answer

Step-by-step explanation:

A!!!

Answer:

A

Step-by-step explanation:

Please Help Me I will give you 100 Points

Answers

Answer:

twoendndbdsjwu

Step-by-step explanation:

Answer:

a. x represents the 1$ rides and y represents the 2$ rides.

b. they represent the rides that she has taken.

c. (4, 11) or  x = 4 and y = 11

Step-by-step explanation:

What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Massimo has $57 in his savings account. Every time he rides the bus he spends $3. Write an equation that Massimo
can use to see how many times he can ride the bus.

Answers

Step-by-step explanation:

I think is 19 because it say that he spends

4x = 7 [x3] help meh

Answers

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

how to write this numbers in word 89.04​

Answers

Answer:

eighty-nine point zero four

Step-by-step explanation:

Answer:

u mean 89.04 = eighty-nine point zero four?

Step-by-step explanation:

Riding an elevator down 3 floors

Answers

Answer:

And, then what? rp?

Step-by-step explanation:

Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.

If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?

Answers

Answer:

5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5

Answer:

5 gallons.

Step-by-step explanation:

two gallons=$5.40

? gallons=$13.50

you cross multiply

2 × $13.50÷$5.40

27÷5.40=5 gallons

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

which number is irrational?

Answers

Answer: pie, the last one

Solve the equation. - 13 = 5+X​

Answers

Answer:

-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18

Which graph represents a function?

Answers

this one bc there’s one point vertically and there’s no more than one point when you draw a vertical line down

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

B

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2  = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

If you subtract a negative number to another negative number do you get a positive answer or negative?

Answers

Answer:

Negative

Step-by-step explanation:

Because Depending on which number is the biggest it's negative and the rules say the same signs add different subtract and keep the sign of the bigger number so

positive minus a negative= positive (6-3=3)

negative-positive= negative (-10+5= -5)

Example: What is 6 − (−3)? Yes indeed! Subtracting a negative is the same as adding!

??????!?????????????????????!?!

Answers

Step-by-step explanation:

if the area of a box is 1 cm^2

then area of triangle is6 cm square

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes

Answers

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.

Answers

-28x-11

Step-by-step explanation:

10x-38x=-28x

+36-47=-11

so the answer is -28x-11

Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5

Answers

Answer:

2x + y = 5

Step-by-step explanation:

Standard form is:

ax + by = c

Given

y = -2x + 5

Converting to standard form

y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5

Correct option is the first one

A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

The y-intercept is the value when x=0. The x-intercept of 3 corresponds to y=0, and the point on the line is (3,0). The y-intercept of 4 corresponds to x=0, and the point on the line is (0,4). ... Now that we have the slope, we can write the equation for the line in point-slope form. One quick way to do this is to use the fact that
3

4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4

0
0

3
=

4
3
so that the equation has the form
y
=

4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=

4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.

(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the percent rate of change.

Here is how we will do this problem:

First, Set up a ratio:

Change in the quantity [15 - 57]

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

Original quantity [15]

57 - 15 = 42

Next, we will divide. the ratio.

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

Convert the fraction to a decimal.

Fraction - 42/15

Decimal - 2.8

Make the decimal to a percent.

Decimal - 2.8

Percent - 28%

Add a zero to the 28.

Our answer is 280%

Answer:

14 packs per hour

Step-by-step explanation:

2pm ⇒ sold 15 packs  5pm ⇒ sold 57 packs

Average rate of change = change in sale/ change in time

(57 - 15) / (5 - 2) = 42/3 = 14 packs per hour

solve for w and simplify the answer

Answers

Answer: w=20/3

Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.

What are the two methods of finding unit rate

Answers

Answer:

The Packing Cube method and something else I cant remember it.

Step-by-step explanation:

Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answers

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

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