Which of the following formulas is used to calculate the probability of independent events A and B?
A. P(AUB) = P(A) + P(B)
B. P(AUB) = P(A) P(B)
C. P(A and B) = P(A) + P(B)
D. P(A and B) = P(A) P(B)

Answers

Answer 1
D. P(A and B) = P(A) P(B)

Related Questions

Which of the following is not an identity?
O A. 2cos2x-1 = 1 - 2sin2x
O B. secx cscx(tanx + cotx) = sec2x + csc2x
O C. 2sin?x- sinx = 1
D. sin2x + tan2x + cos2x = secax

Answers

Answer:

C. 2 sin^2x-sinx=1

Step-by-step explanation:

a p e c

2sin^2 - x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Out of Four options are given, which of them is not an identity is to be determined.

What is identity?

An identity is the common case formula that helps to solve mathematics.

1)

[tex]2cos^2x-1 = 1 - 2 sin^2x\\ \\cos2x =cos2x[/tex]

It is also a perfect identity.

2)

[tex]secx cscx(tanx+ cotx) = sec^2x + csc^2x\\\\\\sec x cscx (sinx/cos x + cosx/sinx) = sec^2 + csc^2x\\\\secx cscx (sin^x+cox^2x/cosxsinx) = sec^2x +csc^2x[/tex]

     It is also not an identity.

3) 2sin^2-X- Sinx=1

It's not an identity cause it is form of equation and contain -x.

4)

[tex]sin^2x+ tan^2x + cos^2x = sec^2x\\ sin^2x + cos^2x = sec^2x -tan^2x = 1[/tex]

It is a perfect identity.

Thus, 2sin^2- x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Learn more about identity here:

brainly.com/question/6971003

#SPJ5

simplify the following expression 2[(7-3)^4 divided by 8] SHOW YOUR WORK!
someone pls help

Answers

Answer:

64

Step-by-step explanation:

2(7-3)^4 divided by 8

2(4)^4 divided by 8

2(256) divided by 8

512 divided by 8

64

Answer:

64

Step-by-step explanation:

2[(7-3)^4 divided by 8]

2[4^4 divided by 8]

2[256 ÷ 8]

2(32)

64

what is the area of the parallelogram

A. 11in2

B. 22in2

C. 45in2

D. 60in2

Answers

Answer:

Step-by-step explanation:

Area of a parallelogram is base times height. So 15x4

It’s 60in^2

So D

Answer:

D. 60 inches^2

Step-by-step explanation:

The area of a parallelogram can be found using:

a=bh

We know that the height is 4 inches, and the base is 15 inches. Therefore, we can substitute 4 in for h and 15 in for b.

a=4*15

Multiply 4 and 15

a=60

Area is always units^2. We know the units are inches, therefore the area is:

60 inches^2, or choice D

Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers.

How many customers does Mary have?

16

20

50

57

Answers

So the right answer is 50

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer: 50,

Step-by-step explanation:

64/100x = 32

X = 32 /0.64

Use the Means-Extremes Property to solve for x. 57 =9x x =

Answers

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

Which line segment is a diameter of T?

Answers

Answer:

[tex] \overline{UZ}[/tex]

Step-by-step explanation:

[tex] \overline{UZ}[/tex] is passing through the center of the circle with center T. Therefore [tex] \overline{UZ}[/tex] is the diameter

Answer:

Line UZ

Step-by-step explanation:

This is Beacause Line UZ passes thru T which is the center of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Hope it Helps, Pls Mark as Brainliest!!

1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years​

Answers

Answer:

She'll earn $4973.07 coming to an amount of $22,973.07

Step-by-step explanation:

URGENT PLEASE HELP
Points j and k, plotted on the coordinate grid, are 2 vertices of rectangle j,k,l,m. Rectangle j,k,l,m has an area of 7 square units. Point j is located at (2,1) and point k is located at (-5,1) each vertex of the rectangle is located at a point that had integer coordinates. Which could be another vertex of the rectangle?
A: (-5,0)
B: (-5,2)
C: (1,1)
D: (2,-6)
E: (2,0)
F: (9,1)
G: (2,2)

Answers

Answer:

16 square unitsStep-by-step

Step-by-step explanation:

find: (6m^5+3-m^3-4m)-m^5+2m^3-4m+6)

PLEASE HURRY!

Answers

Answer:

The answer is 7m5 - 3m3 - 3

Answer: 7m^5-3m^3+0m-3

Step-by-step explanation:

I just did the problem and got the correct answer. Note that this answer only applies to this exact question the correct answer to the equation is 7m^5-3m^3-3.

Please help picture included!!

Use the circle to answer the question.
The formula to find the circumference of a circle is C = 2xr. Use 3. 14 for a.
4 in.
What is the approximate circumference of the circle?
A. 6.3 in.
B. 9.1 in.
C. 12.6 in.
D. 25 in.
E. 50.2 in.
o

Answers

I think the answer is C

What's the equation of the line that's a perpendicular bisector of the segment connecting A (–2, 8) and B (–4, 2)?
Question 12 options:

A)

y = –1∕3x – 3

B)

y = –1∕3x + 3

C)

y = 1∕3x + 3

D)

y = –1∕3x + 4

Answers

Answer:

D

Step-by-step explanation:

The required line is perpendicular bi sector. So it goes through the midpoint of AB. Find the midpoint of  AB

Midpoint [tex](\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})\\[/tex]

Midpoint of AB = [tex](\frac{-2 + [-4]}{2} , \frac{8+2}{2})[/tex]

                        [tex]=(\frac{-6}{2} , \frac{10}{2})\\\\=(-3 , 5)[/tex]

Find the slope of AB, [tex]m_{1}[/tex]

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]=\frac{2 - 8}{-4-[-2]}\\\\=\frac{-6}{-4+2}\\\\=\frac{-6}{-2}\\\\=3[/tex]

Slope of the perpendicular line to AB = [tex]\frac{-1}{m_{1}}[/tex]   = -1/3

The required line passes through (-3, 5) and has slope -1/3

Equation of required line : y - y1 = m (x -x1)

[tex]y - 5 = \frac{-1}{3} (x - [-3])\\\\y-5=\frac{-1}{3} ( x +3)\\\\y-5=\frac{-1}{3}x + 3 *\frac{-1}{3}\\\\y-5=\frac{-1}{3}x-1\\\\y=\frac{-1}{3}x-1+5\\\\y=\frac{-1}{3}x + 4[/tex]

Answer:

Step-by-step explanation:

D)

y = –1∕3x + 4

pls helppp
The slope of the line segment joining the points (2, 3) and (2, -6) is undefined.


a)True b) False

Answers

Answer:

True

Step-by-step explanation:

The points (2,3) and (2,-6) are undefinable because it makes a vertical line. The slope cannot be defined.

Kim's furniture store is offering a 40% discount on all its armchairs. Using a proportion, find the discount of the price of an armchair that originally cost $489.00. A. $489.40 B. $190.71 C. $195.60 D. $293.40

Answers

Answer:

Your answer is C.

Step-by-step explanation:

[tex]\frac{40}{100} = .4[/tex]

To find the the discount, you need to multiply the original price by the percentage.

[tex]489 *.4 = 195.6[/tex]

The discount of the chair would be [tex]195.6[/tex]

Your watch stops at 4 PM on Monday. How many hours and minutes would it be off at 5:30 PM. Tuesday?

Answers

Answer:

25 1/2

Step-by-step explanation:

Answer:

1530 minutes

Step-by-step explanation:

1440 =24 × 60

90= 1.5×60

1440+90=1530

Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?

Answers

Answer:825

Step-by-step explanation:

What is the value of the expression when n = 3?
-2n(5+n - 8 -3n)

Answers

Answer:

54

Step-by-step explanation:

Answer:54

Step-by-step explanation:

-2(3)(5+3 - 8 -3(3)=54

Hope I helped:D

Please help with this

Answers

Answer:

B

Step-by-step explanation:

I used the quadratic formula

Answer:

B

Step-by-step explanation:

Given

(x + 5)² = 48 ( take the square root of both sides )

x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )

x = - 5 ± 4[tex]\sqrt{3}[/tex] → B

math question down below

Answers

Answer:

A.

C.

E.

Step-by-step explanation:

Answer:

a,c,e

Step-by-step explanation: because they all ad up to 24

2. Find the value of x.
BI
3(x + 2)
24
Ox=6
Ox=10
3(x+2
Ox= 24
3x + 6
Ox=8
3x +

Answers

Answer:

x = 6

Step-by-step explanation:

3(x + 2) =24

Divide each side by 3

3/3(x+2) = 24/3

x+2 = 8

Subtract 2 from each side

x+2-2 = 8-2

x = 6

x=6

hope this helps :)

Solve for x.

-30 = 5(x+1)​

Answers

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

Which of the following is an example of inertia?
O A. Adding mass to a moving car makes it
harder to stop.
0 0 0
OB. A balanced force is applied to a bicycle.
C. Increasing the velocity of a train makes it
harder to stop.
OD. A moving car changes direction.

Answers

Answer:

B

Step-by-step explanation:

inertia is the tendency to do nothing or remain unchanged

The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?

Answers

25000 x 1.085 = 27125

27125 people will live in Browns burg in ten years.

m = 0.25k + 5
OLinear Function
O NON-linear Function

Answers

Answer:

OLinear Function

Step-by-step explanation:

In general ,A linear function has the form y = ax + b

so ,the function :

m = 0.25k + 5  is linear .

We just changed

m to y

x to k

a to 0.25

b to 5

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

I really need help and I would greatly appreciate it

Answers

Answer:

a.  15.78

3/19 × 100% = 15.78

    b. 7

12-5 = 7

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

  c. 8

because 8 divides the age group making half the people younger than this age and half are older

2 . a - highest point is 8.7

     c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7

mark brainliest pls

Again can someone help me with this i need a good explanation to find the arithmetic mean? and the answer ;-;

Answers

Answer:

4.1

Step-by-step explanation:

Mean = sum/n

(1+2+10+6+4+4+6+3+1+4)/10

41/10

4.1

The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the standard deviation is 2.7 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a tiger living less than 14.31 years.

Answers

Answer:

ok

Step-by-step explanation:

P(27.8 < C < 30.5) = P(X>27.8) - P(X> 30.5) =0.025 - 0.0015 = 0.0235 hope this helps:)

Andy made a spirometer for a physics experiment. The spirometer is designed to measure the volume of air in a person's lungs. Andy found that when he breathes normally, he inhales and exhales 0.5 of a liter of air per breath. He also found that when breathing normally, after exhaling, he still has 2 liters of air in his lungs.

Andy recorded 15 breaths in one minute, starting at the beginning of an exhale.

If Andy inhaled and exhaled the exact same amount of air in each breath, which of the following functions best models the amount of air in Andy's lungs t seconds after he started recording?

Answers

A(t)=0.25cos(x/2 2)+2.25

A bowling alley charges $3 per shoe rental and $4 per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?

Answers

The would spend a total of 24 of the games and then an additional 6 on shoes the grand total would be $30.

Answer: $36

Step-by-step explanation:

3 times 2 times 2 = 12

4 times 2 times 3 = 24

add 12 and 24

answer = $36!

Use the order of operations to evaluate the expression. 4 × ( 3 4 − 1 2 ) + 3 × 6 A. 19 B. 20 1 2 C. 24 D. 33

Answers

Answer:

106

Step-by-step explanation:

4 × ( 3 4 − 1 2 ) + 3 × 6

PEMDAS

Parentheses first

4 × ( 22 ) + 3 × 6

Multiply next

88 +18

Add

106

Answer:

the answer is: A. 19

Step-by-step explanation:

I think he or she was trying his or her best or they might not understand favorite and rate for them

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