Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?

Suppose A And B Are Independent Events. If P(A) = 0.3 And P(B) = 0.45, What IsP(A N B)?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

P(A n B) given A and B are independent events is P(A) * P(B)

Answer 2

The probability of intersection of event A and B is 0.135, the correct option is D.

What is Probability?

Probability is the study of chance of an event to happen.

A and B are two independent events.

P(A) = 0.3

P(B) = 0.45

P(A ∩ B) = P(A) * P(B)

P(A ∩ B) = 0.3 *0.45

P(A ∩ B) = 0.135

Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.

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Related Questions

The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase

Answers

Answer:

Let x be the value of the house before increase

Since it's increases add 7% to the overall 100%

107/100x = 749000

x = 700000

The value of the house before increase is £700000.

Hope this helps.

what is the slope and y-intercept of the following equation 3x + 2y = -6

Answers

Answer:

The slope is -1.5x and the y-intercept is -3

Step-by-step explanation:

First person to give me Brainliest wins the official contest!!! Hurry!

(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT

Answers

Answer: No

Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relation shown here, notice that

the x-coordinate 2 appears twice.

In one case, 2 corresponds to -4 and in

the other case, 2 corresponds to -4.

Since the x-coordinate 2 corresponds to more than one

y-coordinate, no, this relation is not a function.

Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49

Answers

Answer:

$42

Step-by-step explanation:

Substitute:

Y = 6x

F = 7

So, Y = 6 * 7 = 42

Answer: 42

Step-by-step explanation:

could you guys help with this? thank you ;-;;

Answers

Answer:

144degrees

Step-by-step explanation:

In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.

Hope it helps

4. A school has 100 windows. On a cool day 95 of the windows were closed. Which decimal represents the amount of windows that were OPEN?

Answers

.05 or 5%. 5/100 windows were open. You put a zero before the five in decimal form to show it is in the hundredths place.

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

11.A bus is going with speed of
18 m/s and suddenly bus driver
applied a break and it takes 3
second to stop completely.
Find out the value of
acceleration. *​

Answers

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

-6m/s^2

Step-by-step explanation:

State your knowns

s=Not required

u=18m/s

v=0m/s

a=?

t=3 seconds

(by the way this is more a physics question)

Find an applicable suvat equation

v=u+at

Rearrange the equation

v-u=at

(v-u)/t=a

Substitute values

(0-18)/3=a

Evaluate

a=-6

State the answer

The value of acceleration is -6m/s^2

What is the solution to the equation - 4 = 6?

A. x = 5
B. x = 1
C. x = 20
D. x = 10


Tysvm if you answer!

Answers

If u meant to type x -4 = 6 thanks answer is 10

X - 4 = 6
X = 10 when you add 4 to both sides

35 points!

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db

Answers

Answer:

22

Step-by-step explanation:

Im sure because my sister got the same question on a test and she put 22 and got it right

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Given that:

L = 10log(I / I₀)

Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².

For I = 10⁻¹:

L = 10log(10⁻¹ / 10⁻¹²) = 110 dB

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

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How do I find the area of this kite?

Answers

Answer:

85 square units

Step-by-step explanation:

The area of a kite is half of the product of the diagonals.

The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.

Now we need to find the length of the vertical diagonal.

The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.

Upper vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = [5sqrt(2)]^2

25 + x^2 = 50

x^2 = 25

x = 5

The upper segment of the vertical diagonal has length 5.

Lower vertical segment:

a^2 + b^2 = c^2

5^2 + x^2 = 13^2

25 + x^2 = 169

x^2 = 144

x = 12

The lower segment of the vertical diagonal has length 12.

The length of the vertical diagonal is the sum of the lengths of the two vertical segments:

5 + 12 = 17

The diagonals of the kite measure 1`0 and 17.

area = d1 * d2/2

area = 10 * 17/2 = 170/2 = 85

2/3(1+n)=-1/2n solve for n

Answers

Answer:

[tex]n = - \frac{21}{12} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)= -1/2n    ======= × 6 both sides

4(1+n)= -3n

4+4n= -3n

-7n=4

n= -4/7

Galina was correct when she said: it is 10 times the number of outcomes/there are 2 possible outcomes. Elroy was correct when he said: the outcome of each flip is 1/2/multiply the 10 outcomes. A coin is tossed eight times and outcomes are recorded.

Answers

Answer:

I believe that the answer is

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes

Step-by-step explanation:

I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.

For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.

I hope this helps. :)

The answer is correct that

Galina was correct when she said: there are 2 possible outcomes.

Elroy was correct when he said: multiply the 10 outcomes by 1/2

What is Combination ?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.

So, [tex]2^{10}[/tex] = 1024

In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.

Let us take a case,

If we have flipped a coin 5 times and there are only two possibilities.

The answer will be=  [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.

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Which complex fraction is equal to 2/3?

4/3/8/3

5/6/3/4

3/4/9/8

3/5/2/5​

Answers

3/4/9/8 is equal to 2/3

Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement describes the properties triangles XYZ and X’’Y’’Z” after the transformations?

Answers

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.

What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?

Answers

it is two i think. hope i could help

Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.

Answers

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{1}{2}(15)[/tex]

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.​

Answers

Answer:

hope this helps

which expression is equivalent to __​

Answers

Answer

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2} = \sqrt[6]{8}[/tex]

[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]

Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?

Answers

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

when f(x)=-3, what is x

Answers

Answer:

0

Step-by-step explanation:

Basically the function has no "x" value so it is 0. X could be anything but in the function "x" is not even present so probably 0

Answer:

The answer would be 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

Not sure but I think it is!

Find the equation of a line parallel to y = 2x + 4 that goes through the point (2,5)

Answers

Answer:

y= 2x+1

Step-by-step explanation:

Line parallel to y = 2x + 4

And that goes through the point (2,5)

-----------

Parallel lines have equal slope, so it will be in the form of y= 2x+b

Let's find the value of y-intercept (b) by using the given point:

5= 2*2+bb= 5-4b= 1

So the line is: y= 2x+1

Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185

Answers

Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.




What is the length of the lower base, ZX?


14 units

units

18 units

units

Answers

Answer:

18units

Question:

The complete question as seen from other website is stated below:

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Step-by-step explanation:

VW = 10units

WY = 8√3

XY = ?

ZX = ?

Find attached the diagram obtained from the information (1st image).

To determine XY, we would apply the tangent ratio.

Tan 60 = opposite/adjacent

Tan60 = (8√3)/XY

XY = (8√3)/ Tan60

In a 30°-60°-90° triangle theorem:

Find attached the diagram (2nd image)

Tan 60 = opposite/adjacent

Tan 60 = √3/1

Tan60= √3

XY = (8√3)/ Tan60

XY = (8√3)/√3

XY = 8units

ZX = ZY + XY

VW = ZY = 10units (the breadth of rectangle are equal)

ZX = 10 + 8

ZX = 18 units

Which of these is an example of a literal equation?
A. 12 = 9 + 3x
B. 6 + 30 = 62
C. ax - by = k
D. 3x - 4y

Answers

Im pretty sure it’s A

1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2

Answers

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4

Ken flips 2 fair coins. What is the probability of obtaining the same result on each coin?

Answers

50% chance on each side

Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p

Answers

Answer:

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)

Segment AC bisects angle BAD if the measure of angle BAC is 20 degrees what’s is the measure of angle BAD

Answers

Answer:

40°

Step-by-step explanation:

An angle bisector divides an angle into 2 equal angles. 20° x 2 = 40°.

Pls select the correct answer

Answers

Answer:

B

Step-by-step explanation:

Rent paid by Julie = (1/3) of 3000

                             [tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]

                             = £ 1000

Remaining amount after paying rent = 3000 - 1000 = £ 2000

Expenses : Savings = 7 : 3

Total part  = 7 + 3 = 10

Saving part = 3/10

Amount saved = (3/10) of 2000

                        [tex]=\frac{3}{10}*2000\\\\=3*200[/tex]

                        = £ 600

Answer:

B

Step-by-step explanation:

one third of £3000 = £3000 ÷ 3 = £1000

£3000 - £1000 = £2000 ← amount left after paying rent

Add the parts of the ratio, 7 + 3 = 10 parts

Divide the amount left by 10 to find the value of one part of the ratio

£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus

3 × £200 = £600

Julie saves £600 each month

What are the long-term and short-term effects of a father's death at age 13?​

Answers

Having depression, sometimes people make you bullying and that starts to be a big problem for you

Answer:

I'm 13 so I'll be able to imagine this.

Step-by-step explanation:

-depression

-worry of afterlife

-insecurity

-increased fear of losing other family members

-untrust

-just general sadness

-feeling like it is your fault/blaming yourself

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