What is P(A or B)...?

What Is P(A Or B)...?

Answers

Answer 1

the answer is A.) 3/10

Answer 2
Answer:

Option: B is the correct answer.

            [tex]B.\ \ \dfrac{7}{10}[/tex]

Step-by-step explanation:

We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:

[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]

Now based on the pie chart we see that the total number of students who were surveyed are: 10The number of students who love to play basketball are: 4

( The students are: Fran, Juan , Ian and Ella )

Number of student who love to play soccer are: 5

( The students are: Mickey, Mai, Marcus , Ian and Ella)

The number of student who love to play both basketball and soccer i.e. n(A∩B)= 2

( since those students are: Ian and Ella)

Hence, we have:

[tex]P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}[/tex]

Hence, we have:

[tex]P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}[/tex]


Related Questions

Please help.



Bus leaves at



5 minutes past the hour
15 minutes past the hour
25 minutes past the hour
35 minutes past the hour



What are the missing bus times?



Are these correct?



45 minutes past the hour
55 minutes past the hour

Answers

80 minutes past the hour

Find the dot product between the vectors u and v: u=2i+3j and v=-6i-5j

Answers

[tex]\bf \stackrel{\textit{dot product}}{<a,b>\cdot <c,d>}\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} <2,3>\\ <-6,-5> \end{cases} \\\\\\ <2,3>\cdot <-6,-5>\implies (2\cdot -6)+(3\cdot -5)\implies -27[/tex]

What is the area of this triangle?

help pls im failing haha

Answers

Answer:

d o the formula Ltimes W divided by 2

Step-by-step explanation:

Answer:

Area of triangle = 44.104 cm²

Step-by-step explanation:

Formula:-

Area of triangle = bh/2

where b - Base  and h - Height

To find the height of triangle

Let h be the height of triangle then we can write,

Sin 63 = h/11

h = 11 * sin 63 = 11 * 0.891 = 9.801 cm

To find the area of triangle

Area = bh/2

 = (9 * 9.801)/2 = 44.104  cm²

Write the given equation in exponential form.


log7 = 3

Answers

For this case we have that by definition of logarithmic properties that, the expression

[tex]log_ {b} (a) = c[/tex] is equivalent to:

[tex]b ^ c = a[/tex]

Then, we have the following expression:

[tex]log_ {7} () = - 3[/tex]

It can be equivalent to:

[tex]7 ^ {- 3} =[/tex]

Answer:

The correct option is option A

[tex]7 ^ {-3}[/tex]

Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1

Answers

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

in a game of chance players spin the pointer of a spinner with eight equal sized sections what is the probability that the pointer will land in an odd number section​

Answers

Answer:

3/4

Step-by-step explanation:

Number of sections = 8

Number of sections with numbers that are odd = 6

P(odd number)

= 6/8

= 3/4

The ratio of football players to soccer players in the room was 5 to 7. If the football and soccer players in the room totaled 48, how many where football players?

Answers

There were 20 football players in the room. Because the ratio of football players to soccer players was 5 to 7, that meant that, should the ratio represent the actual number of football players in the room, there would be 12 football players in the room. However, the ratio has to be set equal to accomodate the 48 football players, therfore the 12 hypothetical players in the room would have to be multiplied by 4 to equalize. But that also means that everything else in the ratio will have to be multiplied by 4 to truly balance the ratio. Since there were 5 out of 12 football players, and there are actually 48 football players, and 12 times 4 equals 48, then 5 times 4 should give us our actual number of football players. Finally, some basic math will tell you that because 5 times 4 equals 20, and we can say that there are actually 20 football players in the room.

Answer:

There are 20 football players

Which circle has the SMALLEST percent shaded blue?
A)
B)
C)
D)

Answers

Answer:

The answer is B.

Step-by-step explanation:

If you look at all four circles, you can clearly tell that B has the least amount of blue shaded in.

Which expressions are equivalent?

3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
18x + 2y and 15x + 3x + 2x
3a + 4a + 10 and 17a

Answers

The equivalent expressions are

3x + 5x and 8x

3(x + 4) and 3x + 12

a + b + a and 2a + b

What are equivalent expressions?

Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.

In this case the expressions are said to be equaivalent

Examining the expressions we can see that

3x + 5x = 8x

3(x + 4) = 3x + 12

a + b + a = 2a + b

4 square meters equals how many square yards? What is the formula to get this answer?

Answers

Answer:

4.7840 square yards

Step-by-step explanation:

1 square meters equals 1.19599 square yards.

This is the formula for area conversion from square meters to yards and vice versa.

We are required to determine how many square yards are in 4 square meters.

Using the above conversion we have;

1 square meters = 1.19599 square yards

4 square meters = ?

We simply cross multiply;

4*1.19599 square yards = 4.7840 square yards

find x and y for a triangle with 60° and 30​

Answers

Answer:

90 degrees

Step-by-step explanation:

FIGURE IT OUT

x=15 and y=25.98 or 26

Is there a solution to |x| = -2

Answers

Answer:

There is no solution to the given problem [tex]|x|=-2[/tex].

Step-by-step explanation:

Given equation is [tex]|x|=-2[/tex].

Now we need to determine if there is solution to this equation or not.

We know that [tex]|x|[/tex] represents absolute value function.

By definition of absolute value function, we know  that output of [tex]|x|[/tex] must always be positive.

But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.

That is not possible.

Hence there is no solution to the given problem [tex]|x|=-2[/tex].

Number 14 step by step pleasee

Answers

Answer:

C 3/14

Step-by-step explanation:

There are a total of 8 checkers

P (black) = black/total

               = 2/8 = 1/4

Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black

P ( red) = red/total

           = 6/7

P (black, red) = 1/4 * 6/7

                      = 6/28 = 3/14

what’s the probability of a C or a Z

Answers

Answer:

Zero

Step-by-step explanation:

A letter C or Z is not in the word Bulldog.

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?
PLEASE ANSWER THANKS 20 POINTS

Answers

Hello!

The answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Why?

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to calculate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

[tex]x_{FirstCar}=x_o+v*t[/tex]

For the second car:

We know that the speed of the second car travels 14 mph faster than the first car, so:

[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]

Now, we already know that both cars met after 2 hours and 45 minutes, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between both carsby the following way:

If the cars are moving towards each other the relative speed will be:

[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]

So , since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we  have:

[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]

Writing the equation:

[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]

We have, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]

So,  the speed of the second car is equal to 55 mph.

Hence, the answers are:

[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]

Have a nice day!

What is the perimeter of the shape?
44 inches
66 inches
121 inches
132 inches

Answers

Answer:

39

Step-by-step explanation:

11+11+6+6+5=39

ANSWER

44 inches

EXPLANATION

The perimeter is the distance around the figure.

The unknown vertical height of the shape is 11-6=5 in.

The unknown horizontal width of the shape is 11-6=5 in.

Adding all the distance gives the perimeter.

The perimeter is

[tex]11 + 6 + 5 + 5 + 6 + 11 = 44in.[/tex]

Therefore the perimeter of the shape is 44 inches.

Which Of the following functions will not have an axis of symmetry x=-1 when graphed

Answers

Answer:

The correct choice is A.

Step-by-step explanation:

The axis of symmetry of the function is given by

[tex]x=-\frac{b}{2a}[/tex]

If the axis of symmetry is -1 then the relation between the 'a' and 'b' value for all the function that has an axis of symmetry to be -1, is

[tex]b=2a[/tex]

A. [tex]y=4x^2-8x+1[/tex]

We can see that

[tex]-8\ne 2(4)[/tex]

hence this function does not have an AOS of x=-1

The correct choice is A.

B. [tex]y=x^2+2x-6[/tex]

[tex]2\ne 2(1)[/tex], hence this function has an axis of symmetry of x=-1.

C. [tex]y=3x^2+6x[/tex]

[tex]6=2(3)[/tex]

This also has AOS x=-1

D. [tex]y=-x^2-2x+3[/tex]

[tex]-2=2(-1)[/tex]

AOS is x=-1

Help ????? Pleasseee?

Answers

Answer:

C

Step-by-step explanation:

There is a right triangle formed by the slant height, h and the radius

Use Pythagoras' theorem to solve for h

With radius = 8 ft ( half the diameter ) , slant height is hypotenuse

h² = 17² - 8² = 289 - 64 = 225

Take the square root of both sides

h = [tex]\sqrt{225}[/tex] = 15 → C

write the factors of the quadratic equation: x^2 -4x-21=0

Answers

Answer:

(x - 7)(x + 3) = 0

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (- 4)

The factors are - 7 and + 3, since

- 7 × 3 = - 21 and - 7 + 3 = - 4, thus

(x - 7)(x + 3) = 0 ← in factored form

Karina is showing her steps to solve the expression −26.7 ÷ 1/3

In which step did Karina make an error?

Step 1: −26.7 ÷1/3
Step 2: −26.7 ⋅ −3

Step 3: 80.1

Answers

Step 2: -26.7 · -3

When you divide with a fraction, it's helpful to multiple by the reciprocal of the fraction .

This step instead multiplied by the negative reciprocal .

Therefore, the correct answer would be -80.1 instead of 80.1

The error was made in step 2.

.

find the common difference in the outputs to help find the missing outputs in the table

Answers

the commons difference is .8

the missing values are: 6.2 and 7

Straws are shipped into a box with dimensions of 6.0x6.0x8.0 inches. Each straw is 3/8 inches wide and 7 and 3/4 inches long. How many straws could be shipped into a box without squeezing any straws?

Answers

Answer:

256

Step-by-step explanation:

First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.

Now the box is a prism with a square base (6 inches each side).

How many straws can we fit on one side?  We have to divide the width of the box by the width of a straw.  

[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]

We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.

Answer:

256

Step-by-step explanation:

what is the domain of the given function?
{(3,-2), (6,1), (-1,4), (5,9), (-4,0)}

Answers

Answer:

-4, -1, 3, 5, 6

Step-by-step explanation:

Answer:

-4, -1, 3, 5, 6

Step-by-step explanation:

The domain is always on the left side. That was the trick I learned to remember. When you plot the numbers you would have them lined as X,Y. X,Y is equal to Domain, Range. I hope this helps!

Compute the volume of the right square pyramid shown.

A.147 cubic units

B.241 cubic units

C.441 cubic units

D.447 cubic units

Answers

Answer:

  A.  147 cubic units

Step-by-step explanation:

The area of the square base is ...

  B = (7 units)² = 49 units²

The volume is given by the formula ...

  V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³

HELP!!!!!!!!!!!!!! When i go to search a question and i click on it it signs me out of brainly

Answers

Answer: sometimes it dose that if u have ether not been on brainly in a while or if u do a sertan type of question it logs u out  and then you will have to re log in and if it dose that all the time u click on a question you might need to report a bug to brainly hope i helped :)

Oliva can type 5/12 of a page in 15 minutes. If she types at the same rate how many pages will she have typed in one hour

Answers

Answer:

Olivia will have 1 2/3 pages typed in an hour.

Step-by-step explanation:

Olivia can type 5/12 of a page in 15 minutes. 15 minutes is a fourth of an hour, so to find out how many pages she will have written in an hour you can multiply 5/12 X 4. 5/12 X 4 equals 1 8/12, which can be simplified as 1 2/3.

Hope this helped you :)


PLEASE HELP!!! WORTH 100 POINTS !!

What is the value of y and x?? Solve the answer and show a step by step solution!


Answers

Answer:

X - 90 degrees

Y - 43 degrees

Step-by-step explanation: When you fold over the triangle to reflect you get 47 degrees as angle C. Then, because X is a perfect right angle it is 90 degrees. Then you add 47 and 90 and get 137, then subtract that from 180 because all the angles within a triangle should eqaul up to 180 degrees.

How can I change whole number 4 into fraction?

Answers

Convert the whole number 4 into a fraction using 4 as the denominator:

4/1 × 4/4 = 16/4

Hope this helps :D

Answer:ignore sorry

Step-by-step explanation:

Solve for y. 3.2 = 2y. please answer thanks :)

Answers

Answer:

Simplifying

3.2 = 2y

Solving

3.2 = 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3.2 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0

3.2 + -2y = 0

Add '-3.2' to each side of the equation.

3.2 + -3.2 + -2y = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0

0.0 + -2y = 0 + -3.2

-2y = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2

-2y = -3.2

Divide each side by '-2'.

y = 1.6

Simplifying

y = 1.6

Step-by-step explanation:

Please help ASAP!!!!!

Answers

Answer:

2.02

Step-by-step explanation:

2.02

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