What is the probability that either event will occur?
30
A
8
B
7
P(A or B) = P(A) + P(B)
P(A or B) = [?]

What Is The Probability That Either Event Will Occur?30A8B7P(A Or B) = P(A) + P(B)P(A Or B) = [?]

Answers

Answer 1

The probability that either events A or B will occur is 1/3

What is the probability that either event will occur?

From the question, we have the following parameters that can be used in our computation:

Event A = 8

Event B = 7

Other Events = 30

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 8 + 7 + 30

Evaluate

Total = 45

So, we have

P(A) = 8/45

P(B) = 7/45

For either events, we have

P(A or B) = 8/45 + 7/45

Evaluate

So, we have

P(A or B) = 1/3

Hence, the probability that either event will occur is 1/3

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Related Questions

what does 14a and 5b and 2a and 10b mean​

Answers

Answer:

16a+15b

Step-by-step explanation:

Just like addition

Answer:

They are variables

Step-by-step explanation:

zhsineidhwvd

Your regular hourly rate is $7.75 per hour. On Sundays, your employer pays time and a half. Calculate your hourly rate for Sundays.

Answers

Answer:

11.625

Step-by-step explanation:

You would divide 7.75 in half. Then add that to 7.75.

Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
71

Answers

Answer:
7x+5y +29= 0
Step-by-step explanation: first we have to find slop of the line that is.( Y2-Y1)/x2-x1
M = slope = 4+3)/-7+2
M= 7/-5
Equation of line y - y 1 = M (X - X1)
Y+3 = 7/-5 (x+2)
7x + 5y +29 =0 Ans .

A scuba diver descends from the surface at a rate of 34 feet per minute.
What is the position of the scuba diver relative to the surface after diving for 4 minutes?

Answers

Answer:

The answer is -136

Step-by-step explanation:

you multiply -34 by 4 which gives you -136

(Hope this help)

The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?

Answers

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

40+30+10 in commutative property

Answers

Answer:

10 + 40 + 30

Step-by-step explanation:

Commutative property states that the order in which we add numbers does not affect the answer, so we just need to change the order of numbers

Answered by Gauthmath

Work out the angle below

Work out the angle below

Answers

Answer:

56

Step-by-step explanation:

two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180

62+62=124

180-124=56

v/12 = 3/9 solve for v

Answers

Answer:4

Step-by-step explanation:

v/12=3/9

multiple both sides by 12 to cancel out v/12.

v=3/9*12

v=4

Find the unit price of each of the following items. Round your answer to the nearest tenth.
jelly
18 oz at $1.36
32 oz at $2.03

Answers

Answer:

$0.0756 for 18 oz

$0.0634 for 32 oz

Step-by-step explanation:

A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .

Answers

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Determine the value for x in the equation x over 6 and 4 tenths equals 3 and 6 tenths.

23.04
19.2<-- this is not correct
10.0
2.8

Answers

The value of variable x is 19.20.

How to solve equations ?

Let's find the value of variable x in the equation.

A variable is a number represented with letters in an equation.

Therefore,

x / 6 + 4 / 10 = 3 + 6 / 10

Therefore, let's find the variable x.

10x + 24 / 60 =  30 + 6 / 10

10x + 24 / 60 = 36 / 10

60 × 36 = 10(10x + 24)

2160 = 100x + 240

2160 - 240 = 100x

1920 = 100x

divide both sides by 100

x = 1920 / 100

x = 19.20

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Answer: its A 23.04

Step-by-step explanation:

Convert the following statement into an expression and then find its solution for m = -1. “8more than 4 times a number m”

Answers

8 + 4m
8 + 4*-1
8 - 4
4

SOMEONE PLEASE HELP ASAP IM IN A TEXT NO EXPLANAION NEEDED JUST THE FUNCTION!!THANK YOU SO MUCH :)

SOMEONE PLEASE HELP ASAP IM IN A TEXT NO EXPLANAION NEEDED JUST THE FUNCTION!!THANK YOU SO MUCH :)

Answers

Answer:

\(\frac{-1}{4} x^{2}\)

\(\frac{-1}{4} g(x)\)

Step-by-step explanation:

write the english phrase as an algebraic expression. Let x represent the number

Answers

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

Writing the english phrase as an algebraic expression

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.

Answers

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Which of the following statements is equivalent to saying that there is a 50% increase in the cost of a movie? Circle all that apply. a. The new cost of the movie is twice the old cost. b. The new cost of the movie is one and a half times the old cost. C. The increase in the cost of the movie is half the original cost. d. The increase in the cost of the movie is half the new cost. e. The cost of the movie doubled.

Answers

All of the statements are equivalent to saying that there is a 50% increase in the cost of a movie.

The formula for calculating a percentage increase is:

Percentage increase = (New Value - Original Value) ÷ Original Value x 100

In this case, we can say that the original value is the cost of the movie before the increase, and the new value is the cost of the movie after the increase. Let's say the original cost of the movie is $10. Then the percentage increase is 50%.

We can calculate the new cost of the movie as follows:

New Cost = Original Cost + (Original Cost x Percentage Increase)

New Cost = 10 + (10 x 0.50)

New Cost = 10 + 5

New Cost = 15

Therefore, we can say that the new cost of the movie is 15, which is one and a half times the original cost of $10. The increase in the cost of the movie is 5, which is half the original cost of $10. The cost of the movie did double, from the original cost of $10 to the new cost of 15.

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I need help this is almost due and i'm stuck please help I don't want to fail .

I need help this is almost due and i'm stuck please help I don't want to fail .

Answers

Answer:
318 in^2

Explanation:
SA = 2(wl + hl + hw)
= 2(3(3) + 25(3) + (25)3)
= 2 (9 + 75 + 75)
= 2(159)
= 318 in^2

Explanation for solving the following equation
1/2(f+4)=8

Answers

1/2(f + 4) = 8

Divide the whole thing by 1/2 to get rid of it.

f + 4 = 16

Subtract 4 on both sides

f = 12

What's the answer to:
4x + 2y = -6
y = -4x - 1
when solving linear systems by substitution

Answers

Answer:

737 747 4

Step-by-step explanation:

74747747

An investment is made at 7% simple interest of 1 year. It grows to $8988. How much was originally invested?

Answers

Answer:

88 is the answer

Step-by-step explanation:

because 44+44=88

Please help if do 5 star for people who help for this question thank you

Please help if do 5 star for people who help for this question thank you

Answers

Step-by-step explanation:

francesca got home first i think

Answer:

Francesca got home first

Step-by-step explanation:

13 is less than 15

Solving Quadratic Inequalities

1ai. x^2 less than or equal to sign 8
1ei. (x-4)(x+1)>0

Answers

Answer:

1ai. x is less than or equal to 8

1ei. x > 4 and x > 1

Step-by-step explanation:

Steps for solving 1ai

Factor x² less then or equal to 8 you would do this by finding two numbers the product is equal to zero and the sum would equal to zero. You would find all factors that would equal to your terms like for example x² has the factors x•x and the factors of 0 are 0 so it would be (x+0)(x+0) is less than or equal to 8Split the factoed terms into two inequalities since you're dealing with polynomial inequalities you will either have one or more solutions. For example you will have to solve x + 0 is less than or equal to 8 Solve for x by doing the inverse operation in this case the addition will become subtraction so it will be x + 0-0 is less than or equal to 8 - 0 which would be x is greater than or equal to 8

Steps to solve 1ei

Split the factored terms into 2 inequalities so (x-4) (x+1) >0 will become x-4>0 and x+1>0 Solve for x in this case x-4>0 will become x-4+4> 0+4 which is x>4 and x+1>0 will be x+1-1>0-1 which is x>-1

You decide to clean the bathroom. You notice that the shower is covered in a strange green slime. You decide to try to get rid of this slime by adding lemon juice. You spray half of the shower with lemon juice and spray the other half of the shower with water. After 3 days of “treatment”, there is no change in the appearance of the green slime on either side of the shower.
Independent Variable:
Dependent Variable:
Control:
Constant:

Answers

Each side of the shower with lemon juice is an independent variable.Shower cleanliness is a dependent variable.A water spray can be used to keep things under control.Slime is constant.What is a variable?

A variable is defined as the alphabetic character that expresses the unknown value or unknown number. It can be changed according to the operations performed.

In this experiment,

Each side of the shower is sprayed with lemonade juice to determine whether it has any changes in the cleanliness of the shower. So each side of the shower with lemon juice is an independent variable.

This dependent variable is a variable that can measure Lemonade a manipulated variable or independent variable has any effect on it, such as whether lemonade juice cleans the slime off of the side or not.

A control is something that remains unchanged to assess the condition or impact which has not changed or may be contrasted to it. In the this scenario, the water spray is under command.

The experiment concludes drinking lemonade seems to not influence the cleaning of slime inside the shower.

Thus, slime is constant.

Hence,

Each side of the shower with lemon juice is an independent variable.Shower cleanliness is a dependent variable.A water spray can be used to keep things under control.Slime is constant.

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I am lost please help thank you all

I am lost please help thank you all

Answers

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Will mark brainliest who answers fastest and right

Will mark brainliest who answers fastest and right

Answers

Answer: 330 people

Step-by-step explanation:

added them all up

please help! Naira paddled 4.5 km with the current in the same amount of time as it took her to paddle 3 km against the current. Naira paddled at an average rate of 5 kmh relative to the water each way. Assume the speed of the current was constant.
What was the speed of the current?

Answers

Let's denote the speed of Naira's boat as "v" and the speed of the current as "c".

When Naira paddles with the current, her effective speed is (v + c) km/h.

When she paddles against the current, her effective speed is (v - c) km/h.

We know that Naira paddled 4.5 km with the current in the same amount of time as it took her to paddle 3 km against the current.

Using the formula:

time = distance / speed

We can write two equations based on the given information:

4.5 / (v + c) = 3 / (v - c)

and

(v + c) = 5

We can simplify the first equation by cross-multiplying:

4.5(v - c) = 3(v + c)

Expanding the brackets:

4.5v - 4.5c = 3v + 3c

Combining like terms:

1.5v = 7.5c

Dividing both sides by 1.5:

v = 5c

Substituting v = 5 into the second equation:

5 + c = 5

c = 0

Therefore, the speed of the current is 0 km/h. This means that Naira paddled at a speed of 5 km/h relative to the water both with and against the current.

Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.

Answers

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

Find the midpoint of YZ:

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

Show that the segments joining the midpoints are perpendicular:

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

Conclusion:

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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t -1 = -5 Help me plz and thank you​

Answers

Answer:

Step-by-step explanation:

if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because,  -6 - 1 = -5

which of the following doesnot represent pair of integers (a,b) such that a÷b=3​

Answers

Answer: -9,3 and -15,-1 don’t

Explanation

a divided by b = 3

it’s (a,b) so a is out x value and b is the y value, so it’s x divided by y

(-9, 3) ❌

In this case our x is -9 and y is 3

-9 divided by 3 = -3

If the 3 was negative, this would work

(15,-1) ❌

Now our x is -15 and our y is -1

-15 divided by -1 = 15

If it was -3 instead of -1 this would work

(6,2) ✔️

Now x is 6 and y is 2

6 divided by 2 = 3

So this works

(-3, -1) ✔️

Now x is -3 and y is -1

-3 divided by -1 = 3

So this also works

The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)

Answers

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

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