Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) =1/3 . What is P(X) written as a decimal?

Answers

Answer 1
P(Y) = 5/6
Since they are independent, P(X & Y) = P(Y) * P(X)
Therefore:
1/3 = 5/6 * P(X)     Change 1/3 to 2/6, then multiply both sides by 6/5
2/6 * 6/5 = P(X)    
2/5 = P(X)
Written as a decimal, P(X) = .40 

Related Questions

A line is defined by the equation y=-x+3 Which shows the graph of this line.

Answers

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

[tex]y=-x+3[/tex]

we know that

The slope of the line is negative [tex]m=-1[/tex]

The y-intercept of the line is the point [tex](0,3)[/tex] (value of y when the value of x is equal to zero)

The x-intercept of the line is the point [tex](3,0)[/tex] (value of x when the value of y is equal to zero)

therefore

the graph in the attached figure

Answers So it's just A

Step-by-step explanation:

The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?

Answers

3000/100 = 30.  When you go from Centimeters to Meters you divide by 100.

Mario's flagpole is 30 meters tall.

A delivery truck made 8 stops in one neighborhood. By stop 5, there were 11 packages delivered. This graph shows this information.

How many stops did it take to have 5 packages delivered?

12

8

3

2

Answers

2 delivery stops

Find the point that hits 5 on the "packaging delivery".

Then look down to find the 'x'

your x is 2

hope this helps


A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh

Answers

I think if you have 2/3 pounds of cheesy popcorn, then the 1/3 buttered popcorn plus the 2/3 cheesy popcorn would add up to a full, 15/16 pounds of popcorn altogether.

The weight of the cheesy popcorn is 5/8 pounds.

To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.

The calculation is as follows:

Total weight of the box = 15/16 pounds

Cheesy popcorn weight = (2/3) * (15/16)

Cheesy popcorn weight = (2 * 15) / (3 * 16)

Cheesy popcorn weight = 30 / 48

When simplified, this gives us 5/8 pounds

Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.

Keri uses the digits 7,5,4 and 8. Help Kerri write down all possible A. 4 digit odd numbers B. 4 digit even numbers. Use digit only once in each number.

Answers

8745, 8475, 7485, 7845, 4857, 4785, 8547, 8457, 5487, 5847, 4597, 4857

7548, 7458, 5478, 5784, 4578, 4758, 8758, 8578, 5784, 5874, 7584, 7854
Final answer:

To write down 4-digit odd and even numbers using the digits 7, 5, 4, and 8, there are 4 possible odd numbers and 2 possible even numbers.

Explanation:

In order to write down all possible 4-digit odd and even numbers using the digits 7, 5, 4, and 8, we need to consider the following:

An odd number always ends with an odd digit, which in this case can only be 7 or 5. So, we have two options: 75 or 57.The remaining two digits can be arranged in any order. We have 2 options for the first digit (4 or 8) and 1 option for the second digit (the remaining digit).Therefore, for 4-digit odd numbers, we have a total of 2 * 2 * 1 = 4 possible numbers: 754, 584, 758, and 578.An even number always ends with an even digit, which in this case is 8. So, we need to choose an even digit for the thousands place. We have one option, which is 4. The remaining two digits can be arranged in any order.Therefore, for 4-digit even numbers, we have a total of 1 * 2 * 1 = 2 possible numbers: 854 and 584.

The next plane will arrive in 22 minutes and 30 seconds. In how many seconds will the next train arrive?

Answers

So there are 60 seconds in a minute.

So you just want to multiply 60 seconds by 22 groups of 60.

22 * 60 = 1320 seconds

And then add the previous seconds;

1320 + 30 = 1350 seconds

Write 0.0000648 in scientific notation. (PLEASE ANSWER XD)

Answers

6.48 * 10^-5

* = multiply
^ = to the power of
This would be:

6.48 * 10⁻⁵

can some one please help with this PLEASE

Answers

Two semi circles make one whole circle.
The diameter if the circle is given to be 32. That means the radius is 16.

The distance around the shape is then the circumference of the circle plus the side distance which is the total length 54 minus 16 on both sides.

p = 2(pi)16 + 2(54 - 32)
p = 32(pi) + 44
p = 32(3.14) + 44
p = 100.48 + 44
p = 144.48

How many planes can two distinct lines have in common?

Answers

three planes a distinct lines have in common

Two distinct lines can have 3 planes. Hope it helps!

what is the midpoint of FB

Answers

Answer:d

Step-by-step explanation:

Which equation is a point slope form equation for line AB ?

A. y+1=−2(x−6)

B. y+6=−2(x−1)

C. y+5=−2(x−2)

D. y+2=−2(x−5)

Answers

I believe the answer is D
y+2=-2(x-5)
-2*-5=10
y+2=-2x+10
-2 -2
y=-2x+8

Answer: D . [tex]((y+2)=-2(x-5)[/tex]

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-

[tex](y-d)=\dfrac{d-b}{c-a}(x-c)[/tex]

From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).

Then the equation for the line AB in point-slope form would be :-

[tex](y-(-2))=\dfrac{-2-6}{5-1}(x-5)[/tex]

[tex]\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)[/tex]

[tex]\Rightarrow\ (y+2)=-2(x-5)[/tex]

Hence, the equation is a point slope form equation for line AB :

[tex](y+2)=-2(x-5)[/tex]

What's the exact value of tan(-4pi/3)

Answers

tan(-4pi/3) = 0.0731897502

What is 9.187 to the nearest tenth? And hundredth and one

Answers

 9.187 to the nearest tenth is 9.2

The 1 in 9.187 is in the tenths place and since the number after it is over 5, you round up. 
9.187 to the nearest tenth is 9.2. 9.187 to the nearest hundredth is 9.19. 9.187 to the nearest one is 10.
Hope this helps :)

If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning

Answers

Dividing by 1/4 makes the value of the number bigger because you are basically multiplying by the reciprocal which is 4.

Division and multiplication are reciprocal operators.

Dividing the positive number by 1/4 will make the positive number bigger.

From the question, we understand that:

1/4 makes the positive number smaller, when it is multiplied to the positive number.

Because division and multiplication are reciprocals,

Dividing the positive number by 1/4 will make the positive number bigger.

Hence, what division does to the positive number is that: It makes it bigger

Read more about division and multiplication at:

https://brainly.com/question/19928607

graph the equation y=3/5x on the coordinate plane

Answers

I know it says instant mirror don't worry about that.

A graph of the linear function y = 3/5(x) is shown in the image attached below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Since the given linear function y = 3/5(x) is in slope-intercept form, we would start by plotting the y-intercept:

y = 3/5(x)

y = 3/5(0)

y = 0

Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.

Read more on a graph here: brainly.com/question/4546414

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On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?

Answers

70 is the correct answer for this problem
1 7/20 hope u get it right

What is the range of this data set?

27, 5, 11, 13, 10, 8, 14, 18, 7

A. 22
B. 7.5
C. 11
D. 16

Answers

You would subtract the highest number form the lowest number and your answer would be A.22

What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)

Answers

B, -y+w=-32(x-2) is the correct answer

The correct answer would be y + 2 = - 3/2 ( x - 2 )

Please mark brainliest

Nadeen is at an arcade. She started out with 18 tokens, and each game costs 3 tokens to play. Suppose x is the number of games Nadeen has already played.

Answers

x=6 because 6 times 3 equals 18

Answer:

The expression [tex]18-3x[/tex] describe the number of tokens Nadeen has left.

Step-by-step explanation:

Consider the provided information

Nadeen is at an arcade. She started with 18 tokens. Each game costs 3 tokens.

The cost of each game is 3 tokens

Suppose x is the number of games played by Nadeen

Thus, the cost of x games is 3x tokens

it is given that Nadeen started with 18 tokens.

So, token left = [tex]18-3x[/tex]

Therefore, the expressions [tex]18-3x[/tex] can be used to describe the number of tokens Nadeen has left.

Factor 5x2 - 7x + 2.

Answers

it might be (5x-2)(x-1)

The factored form of the given expression 5x² - 7x + 2 is equal to (5x - 2)(x - 1).

To factor the quadratic expression 5x² - 7x + 2,

find two binomials in the form (ax + b)(cx + d) whose product gives us the original expression.

The general form of a quadratic expression is ax² + bx + c, where:

a = 5

b = -7

c = 2

To factor the expression, look for two numbers whose product is ac (5× 2 = 10) and whose sum is b (-7).

The two numbers are -5 and -2 because:

-5 × -2 = 10

-5 + (-2) = -7

Now,  rewrite the middle term (-7x) using these two numbers:

5x² - 5x - 2x + 2

Next, we group the terms and factor them by grouping:

(5x² - 5x) + (-2x + 2)

Factor out the greatest common factor from each group:

5x(x - 1) - 2(x - 1)

Now,  factor out the common binomial factor (x - 1):

(5x - 2)(x - 1)

Therefore, the factored form of 5x² - 7x + 2 is (5x - 2)(x - 1).

learn more about factored form here

brainly.com/question/33784635

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Which equation represents a line that passes through the two points in the table

Answers

y-1=5/4(x-1)

All of the answers are in point-slope form btw.

Answer:

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

Step-by-step explanation:

we know that

The equation of the line into point slope for, is equal to

[tex]y-y1=m(x-x1)[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

In this problem we have

[tex]A(1,1), B(5,6)[/tex]

Substitute the values

[tex]m=\frac{6-1}{5-1}[/tex]

[tex]m=\frac{5}{4}[/tex]

with the point A and the slope m find the equation of the line

substitute the values

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

Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?

m∠A=30° and m∠B=60°
m∠A=25° and m∠B=25°
m∠A=10° and m∠B=15°
m∠A=45° and m∠B=45°

Answers

A counterexample is a special kind of example that disproves a statement or proposition.

Given that ∠A is congruent to ∠B, this means that the measure of angle A is equal to the measure of angle B.

Two angles are said to be complementary if their sum is 90 degrees.

Consider, m∠A=25° and m∠B=25°, clearly, ∠A≅∠B, but m∠A + m∠B = 25° + 25° = 50°.

Thus, ∠A≅∠B , but ∠A and ∠B are not complementary angles.

i just took the test answer is B hope that helped!

Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?

Answers

In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of:
-13.64 ÷ 6.2 = -2.2 mm/ year. 

The difference between how much average water levels rose and how much water levels in her part of the river fell is:
1.8 -(-2.2) = 4 mm/year

During the 6.2 year period: 
4 mm/year * 6.2 = 24.8 mm

Answer:

24.8

Step-by-step explanation:

A cold front moved in last weekend.In 8 hours overnight,the temperature outside dropped 24 degrees. what was the average temperature change for each hour?

Answers

24/8 will give you the average temperature change for each hour... 3 degrees per hour
24/8

24/8= 3

The average temperature change was 3.

15/16 is 1 sixteenth group of what size?

Answers

15/16 is 1 sixteenth group of size 1.0667.

15/16 represents a fraction where the numerator (15) is smaller than the denominator (16), indicating that it is less than a whole. When we express 15/16 as a mixed number, we get 15/16 = 0.9375, which means it is almost a whole.

In terms of groups, 15/16 can be thought of as 15 groups of a certain size out of 16. To find out the size of each group, we divide the total (16) by the number of groups (15), which gives us 16 ÷ 15 = 1.0667. Therefore, 15/16 is 1 sixteenth group of size 1.0667.

In other words, if we divide the whole into 16 equal parts, each part would be approximately 1.0667 units in size, and taking 15 of these parts would give us 15/16 of the whole.

This demonstrates that fractions can be interpreted as division problems and can be represented in various ways to understand the concept more deeply.

Which unit rates would be appropriate for describing the amount of rainfall over time?

Select each correct answer.



meters per second

milliliters per minute

centimeters per day

inches per hour

Answers

The unit rate appropriate for describing the amount of rainfall over time is centimeters per day. Therefore, option C is the correct answer.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here,

Rainfall amount is expressed as the quotient of a unit of height and a unit of time.

The way to choose the most appropriate is the relation between both quantities.

For example, "meters per second" is a way too high unit for the height (which is usually inches or millimeters, instead of meters) and way too low for the time unit (which is usually per day, not seconds). This unit would have a really small number for any rain.

The most common unit is "centimeters per day"

Then, we should find a unit rate with a small unit for height and a large unit for time.

Therefore, option C is the correct answer.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

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In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corporate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction

Answers

720 divided by 8 and then look up the answer to that as a fraction on Google

Answer: [tex]\dfrac{1}{90}[/tex]

Step-by-step explanation:

Given : The total number of companies = 720

The number of companies won = 8

Now, the probability of a company winning is given by ;-

[tex]\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}[/tex]

Hence, the probability of a company winning  is [tex]\dfrac{1}{90}[/tex].

Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?

Answers

77.20 i think i did it in my head and with a caluclator

Answer:

Julie received $134.4 when she cashed her paycheck .

Step-by-step explanation:

Let the amount of paycheck be x

She paid $10 to her brother

She then spent $30 on fuel for her car

So, She left with amount = x-40

Now She spent half of the remaining money on a new tent for camping

Spent on camping = [tex]\frac{1}{2}(x-40)[/tex]

Remaining =  [tex](x-40)-\frac{1}{2}(x-40)[/tex]

She bought a pair of running shoes for $29.45

So, Remaining =  [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]

We are given that She had $17.75 left.

So,  [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]

[tex]x=134.4[/tex]

Hence Julie received $134.4 when she cashed her paycheck .

what is volume of a sphere with radius of 9 inches. Need to know the steps also.

Answers

v = 4/3 × π × r³ is the formula. first plug in the 9 (the r) into the formula, then solve the formula by  putting into your calculator 4/3 × π × 9³ =. and your answer will be 3053.63. I hope this helps!

The work is provided in the image attached.

Hii pleaseeeeee helpppppp meeeee understand how to do this I want to understand.

Answers

The correct option is D.
The value given is 3 23/66
23/66 = 0.34848
3 + 0.34848 = 3.34848 
Thus, 3 23/66 = 3.348.
A bar line is placed on the top of the '48' portion of the answer to show that 48 is a repeating number in the decimal, that is, there are still a lot of 48 infront of the decimal point which we have not written as part of the answer.
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