Given n(A) = 1300, n(A U B) = 2290, and n(A n B) = 360, find n(B).

Answers

Answer 1

Answer:

n(B) = 1350

Step-by-step explanation:

Using Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

Three values are given in the exercise.

The other is n(B), which we have to find. So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

[tex]2290 = 1300 + n(B) - 360[/tex]

[tex]940 + n(B) = 2290[/tex]

[tex]n(B) = 2290 - 940 = 1350[/tex]

So

n(B) = 1350


Related Questions

Question 4*
4. Sam's goal is to exercise for 400 minutes each
week. This week, he reached 128% of his goal.
How many minutes did he exercise?

Answers

Answer: Get at least 150 minutes of moderate aerobic activity or 75 minutes of vigorous aerobic activity a week, or a combination of moderate and vigorous activity. The guidelines suggest that you spread out this exercise during the course of a week. Greater amounts of exercise will provide even greater health benefit.

Step-by-step explanation:

If Sam reached 128% of his goal to exercise each week, he would have exercised for 512 minutes.

How many minutes did Sam exercise this week?

Given the parameters:

Sam's goal is to exercise for 400 minutes each week.

This week, he reached 128% of his goal.

The number of minutes =?

To determine how many minutes Sam exercised this week, we simply calculate 128% of his goal.

Number of minutes = 128% × Sam's goal of exercise

Number of minutes = 128% × 400 minutes

Note that: 128% = 128/100

Number of minutes = 128/100 × 400 minutes

Number of minutes = 128 × 4 minutes

Number of minutes = 512 minutes

Therefore, Sam exercised for 512 minutes this week.

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When you compute with decimals you should always check your answer is reasonable why

Answers

Answer:

Ang pangit mo

Kamuka mo Yong clown

Graph: y = (x + 3)2 – 4
Which values are solutions of the quadratic equation
0 = (x + 3)2 – 4? Check all that apply.
y
X
-4
WIEC
6
0 -5
-4
.
0 -3
-1
-6
-4
-2
2
4
6
02
3
-2 -4
0,5
-6

Answers

Answer:

0.534375

45328

36763

-6

-78

The values of x and y that satisfy the graphs are:

(-1, 0), and (-5, 0).

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

We can start by simplifying the quadratic equation:

y = (x + 3)² – 4

y = x² + 6x + 9 - 4

y = x² + 6x + 5

Now, we can use various methods to find values of x and y that satisfy this equation. Here are five possible values:

If we substitute x = -1, we get:

y = (-1)² + 6(-1) + 5

y = 0

So, one solution is (-1, 0).

If we substitute x = 0, we get:

y = 0² + 6(0) + 5

y = 5

So, another solution is (0, 5).

If we substitute x = -5, we get:

y = (-5)² + 6(-5) + 5

y = 0

So, another solution is (-5, 0).

To find rational solutions, we can factor in the quadratic expression:

y = x² + 6x + 5

y = (x + 1)(x + 5)

So, the solutions are x = -1 and x = -5. Substituting these values into the equation, we get:

For x = -1, y = (-1)² + 6(-1) + 5 = 0

For x = -5, y = (-5)² + 6(-5) + 5 = 0

So, the solutions are (-1, 0) and (-5, 0).

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PLS HELP QUICK I WILL GIVE YOU BRAINLIEST:

Given that angle abc=70° and angle bcd=110°. Is it possible (consider all cases): That line AB intersects line CD?

Answers

Answer:

Given that angle abc = 70° and angle bcd = 110°. Is it possible (consider all cases): That line AB intersects line CD?

yes.

Step-by-step explanation:

#CarryOnLearning

Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

Answers

Answer:

her salary will increase by $ 145 for every week

Step-by-step explanation:

x=1st paycheck (integer).

weekly raise = $ 145.

After completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get

$ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Factor out the greatest common factor.

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

6x⁴ + 4x³ – 10x

The greatest common factor can be obtained as follow:

6x⁴ = 2 * 3 * x * x * x * x

4x³ = 2 * 2 * x * x * x

10x = 2 × 5 * x

Greatest common factor = 2 * x

= 2x

Thus, the expression 6x⁴ + 4x³ – 10x can be written as:

6x⁴ + 4x³ – 10x = 2x(3x³ + 2x² – 5)

Round 620 to the nearest ten! Hurry please and please don't answer if you know you wrong !

Answers

Answer:

620 to the nearest ten is already rounded correctly.

Step-by-step explanation:

620 to the nearest ten is 620.

evaluate the expression when b=3
y = -7

4b-y​

Answers

Answer:

5

Step-by-step explanation:

Given :

b = 3 y = -7

To Find :

Value of 4b - y .

Solution:

Put on the respective values ,

⇒ 4b - y = 4 × 3 - 7

⇒ 4b - y = 12 - 7

4b - y = 5

Hence the required answer is 5 .

Answer: 5

Step-by-step explanation:

We can plug in the numbers for variables. So, our new equation would becomes 4x3-7. We first evaluate 4x3=12. Then, 12-7=5. Hence, your answer is 5.

The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the right. Complete its equation. Enter exponents using
the caret (-); for example, enter x4 as x^4. Do not include "G(x) =" in your
answer.
G(x) =

Answers

Step-by-step explanation:

The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0

The equation of the graph is,

⇒ G (x) = (x - 3)⁴

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, The graph is 3 units left to function F (x) = x⁴.

Hence, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Thus, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

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Convert the following to a simplified fraction. Show all your work.

Answers

Answer:

11/6

Step-by-step explanation:

Approximate 5.7255 to the nearest thousand

Answers

Step-by-step explanation:

round 5.7255 to thousands place

place after thousands place (5) rounds up the 5 before it

therefore 5.726 ur ans

MARK above ANS as branliest

You have some money to invest in one of two accounts. The first account pays
5% simple interest, and the second pays 4% compound interest. How would
you decide which account to use? Discuss your answer.

Answers

Answer:

compound interest

Step-by-step explanation:

compound interest yields higher profit than simple interest

Answer:

the simple interest function will be greater in the beginning, but the

compound interest equation will overtake the simple after a while.

it appears that the 4% compound equation will overtake the simple at about 10 years

Step-by-step explanation:

[tex]1 + .05t = 1(1.04)^t[/tex]

A charter school did a local beach cleanup. They collected a total of 55 pounds of plastic bottles and aluminum cans. The California refund value for plastic is $1.60 per pound and $1.28 per pound for aluminum. The school recycled a total of $77.60 worth of plastic and aluminum. How many pounds of each, plastic and aluminum, did the class collect?

Answers

Answer:

Plastic is 22.5 pounds and aluminum is 32.5 pounds.

Step-by-step explanation:

total junk = 55 pounds

Value of plastic = $ 1.60 per pound

Value of aluminum = $ 1.28 per pound

Total value= $ 77.60

Let the plastic is p and the aluminum is 55 - p.

Total cost

77.60 = 1.6 p + (55 - p) x 1.28

77.60 =  1.6 p + 70.4 - 1.28 p

7.2 = 0.32 p

p = 22.5 pounds

So, plastic is 22.5 pounds and aluminum is 32.5 pounds.

Simplify the expression

Answers

Answer: …

Step-by-step explanation: you need an image

Answer:

what expression?

Step-by-step explanation:

A display case of toy rings are marked 5 for $1. If Zach wants to buy 50 toy rings, how much will Zach spend (not including tax)

Answers

$10
Since it is five for $1 the amount of rings is 5x the amount of $

9514 1404 393

Answer:

  $10

Step-by-step explanation:

Price is proportional to the number of rings, so Zack will spend D dollars, where ...

  dollars/rings = D/50 = 1/5

  D = 50/5 = 10

Zack will spend $10 to buy 50 toy rings.

Any good tv shows on Netflix

Has to be atleast 3 season long

Answers

Well I like criminal minds (15 seasons)
I like ncis (also 15 seasons I think)
I like cobra Kai ( 3 season 4 one coming out )
:)

Answer:

Grey's Anatomy

Step-by-step explanation:

With the information that you gather from the summary tables, test the following (you can use excel when appropriate): Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance. Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance. Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance. Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

H0 : μ = 5000

H0 : μ > 5000

xbar = 6671 ; s = 8185.21 ; n = 52 ; α = 0.05

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (6671 - 5000) ÷ (8185.21/√52)

T = 3.814

Pvalue from Test statistic : ; df = n - 1 = 52-1= 51

Pvalue at 3.814; 51 = 0.000185

Pvalue < α ; Reject H0 and conclude that average birth is greater than 5000

B)

H0 : μ = 6000

H0 : μ < 6000

xbar = 4187 ; s = 4386 ; n = 52 ; α = 0.01

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (4187 - 6000) ÷ (4386/√52)

T = - 2.981

Pvalue from Test statistic : ; df = n - 1 = 52-1= 51

Pvalue at - 2.981; 51 = 0.0022

Pvalue < α ; Reject H0 and conclude that average death is less than 6000

C.)

H0 : μ < 2500

H0 : μ ≥ 2500

xbar = 2744 ; s = 3134.41 ; n = 52 ; α = 0.05

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (2744 - 2500) ÷ (3134.41/√52)

T = 0.561

Pvalue from Test statistic : ; df = n - 1 = 52-1= 51

Pvalue at 0.561; 51 = 0.289

Pvalue > α ; Fail to Reject H0 and conclude that average marriage is not greater Tha or equal to 2500

D.)

H0 : μ = 4000

H0 : μ ≤ 4000

xbar = 1451 ; s = 1217 ; n = 52 ; α = 0.01

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (1451 - 4000) ÷ (1217/√52)

T = - 15.10

Pvalue from Test statistic : ; df = n - 1 = 52-1= 51

Pvalue at - 15.10; 51 = 0.000001

Pvalue < α ; Reject H0 and conclude that average divorce is less eqaul to 4000

HELP ME PLSSSSSSSS I tryed to solvessss

Answers

Answer:

x≥-4

Step-by-step explanation:

Which pair of points have equal x-coordinates?

Answers

Answer:

A. Q and R

Step-by-step explanation:

The x-axis is the horizontal line. The y-axis is the vertical line.

On the x-axis, go to the left, all the way to -5.

Look at the line that goes through -5 vertically. You will see that that line intersects with both Q and R.

This means that Q and R have equal x-coordinates, -5.

They're x and y coordinates would be

Q- (-5, 6)

R- (-5, -7)

I hope this helps!

Answer: Q and R

Step-by-step explanation:

See since in the photo the Q coordinate(Q) is directly above the R coordinate(R), that can only mean that they have the same X coordinate(X) or else it wouldn't be possible for Q to be right above R. The reason Q is right above R is because their Y coordinates(Y) are different, not because of X.

I hope this helps!

What is the value of x?
2
3
6
7
Geometry B - 5.0 - Extended – 2

Answers

Answer:

I think 6.............,..........

There are 10 students on the track team who compete in sprinting events. They make up 25% of the track team. How many students are on the track team?

Answers

Answer:

40

Step-by-step explanation:

10/x = 25/100

Cross multiply 10 and 100 = 1000.

Then, divide 1000 by 25 = 40.

10/40 = 0.25 = 25%

x - 3y +3=0
a) The length of the perpendicular drawn from the point (a, 3) on the line
3x + 4y + 5 = 0 is 4. Find the value of a.​

Answers

Answer:

We know that for a line:

y = a*x + b

where a is the slope and b is the y-intercept.

Any line with a slope equal to -(1/a) will be perpendicular to the one above.

So here we start with the line:

3x + 4y + 5 = 0

let's rewrite this as:

4y = -3x - 5

y = -(3/4)*x - (5/4)

So a line perpendicular to this one, has a slope equal to:

- (-4/3) = (4/3)

So the perpendicular line will be something like:

y = (4/3)*x + c

We know that this line passes through the point (a, 3)

this means that, when x = a, y must be equal to 3.

Replacing these in the above line equation, we get:

3 = (4/3)*a + c

c = 3 - (4/3)*a

Then the equation for our line is:

y = (4/3)*x + 3 - (4/3)*a

We can rewrite this as:

y = (4/3)*(x -a) + 3

now we need to find the point where this line ( y = -(3/4)*x - (5/4)) and the original line intersect.

We can find this by solving:

(4/3)*(x -a) + 3 =  y = -(3/4)*x - (5/4)

(4/3)*(x -a) + 3  = -(3/4)*x - (5/4)

(4/3)*x - (3/4)*x = -(4/3)*a - 3 - (5/4)

(16/12)*x - (9/12)*x = -(4/3)*a - 12/4 - 5/4

(7/12)*x = -(4/13)*a - 17/4

x = (-(4/13)*a - 17/4)*(12/7) = - (48/91)*a - 51/7

And the y-value is given by inputin this in any of the two lines, for example with the first one we get:

y =  -(3/4)*(- (48/91)*a - 51/7) - (5/4)

  = (36/91)*a + (153/28) - 5/4

Then the intersection point is:

( - (48/91)*a - 51/7,  (36/91)*a + (153/28) - 5/4)

And we want that the distance between this point, and our original point (3, a) to be equal to 4.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)^2 + (b - d)^2)

So here, the distance between (a, 3) and ( - (48/91)*a - 51/7,  (36/91)*a + (153/28) - 5/4) is 4

4 = √( (a + (48/91)*a + 51/7)^2 + (3 -  (36/91)*a + (153/28) - 5/4 )^2)

If we square both sides, we get:

4^2 = 16 =  (a + (48/91)*a + 51/7)^2 + (3 -  (36/91)*a - (153/28) + 5/4 )^2)

Now we need to solve this for a.

16 = (a*(1 + 48/91)  + 51/7)^2 + ( -(36/91)*a  + 3 - 5/4 + (153/28) )^2

16 = ( a*(139/91) + 51/7)^2 + ( -(36/91)*a  - (43/28) )^2

16 = a^2*(139/91)^2 + 2*a*(139/91)*51/7 + (51/7)^2 +  a^2*(36/91)^2 + 2*(36/91)*a*(43/28) + (43/28)^2

16 = a^2*( (139/91)^2 + (36/91)^2) + a*( 2*(139/91)*51/7 + 2*(36/91)*(43/28)) +  (51/7)^2 + (43/28)^2

At this point we can see that this is really messy, so let's start solving these fractions.

16 = (2.49)*a^2 + a*(23.47) + 55.44

0 = (2.49)*a^2 + a*(23.47) + 55.44 - 16

0 = (2.49)*a^2 + a*(23.47) + 39.44

Now we can use the Bhaskara's formula for quadratic equations, the two solutions will be:

[tex]a = \frac{-23.47 \pm \sqrt{23.47^2 - 4*2.49*39.4} }{2*2.49} \\\\a = \frac{-23.47 \pm 12.57 }{4.98}[/tex]

Then the two possible values of a are:

a = (-23.47 + 12.57)/4.98  = -2.19

a = (-23.47 - 12.57)/4.98 = -7.23

Which ordered pair makes both inequalities true?
y> - 2x + 3
ysx-2
- + -3 2-1
X

Answers

Answer:

Step-by-step explanation:

On the graph of two inequalities, solution of two inequalities is defined by the common shaded area.

That means all the points which lie in this area will satisfy both the inequalities.

From the graph attached,

Points given in the options (0, 0), (0, -1) and (1, 1) are not lying in the solution area.

Since, ordered pair given in 4th option is not clear in the picture, Option (4) may be the answer.

A tax form asks people to identify their age, annual income, number of dependents, and social security number. For each of these four variables, identify the scale of measurement that probably is used and identify whether the variable is continuous or discrete.
Variable Nominal Ordinal Interval Ratio
Social security number
Annual income
Number of dependents
Variable Discrete Continuous
Social security number
Annual income
Number of dependents

Answers

Answer:

Types of variables:

Continuous variable include: income

Discrete variable include: number of dependents

Scale of measurement:

Nominal data include: Social security number

There is no ordinal data included

There is no interval data included

Ratio data include: Annual income,

Number of dependents.

Explanation:

Continuous variables are variables that are obtained by just counting, example: counting the number of times someone eats in a day.

Discrete variables are simply variables that are measured and are usually more precise than continuous variables, example: time, weight, length etc.

Nominal data are data types that are in the form of labels or names and do not have any particular order, example :social security number basically identifies a person and is not ranked or ordered in any way.

Ordinal data are data types that also in the form of names but with ranking and order.

Interval data are data types that rank and order data but with continuous measurement that may take on negative values, example measure of temperature.

Ratio data is same as interval data but does not take negative values, example we can not say that someone is -6 years old.

the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years​

Answers

Answer:

hope you find it useful and helpful

Find the interquartile range of the data set represented by this box plot.



25
20
45
35

Answers

Answer:

25

Step-by-step explanation:

im pretty sure i think only ok i think no saying bad things in the comment

Is 237405 divisible by 11 Correct Answer = Brainliest ​

Answers

Answer:

Yes.

Step-by-step explanation:

.

For the diagram below, which equation is the correct use of the distance
formula?

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Any equation that does not have y2 as the first term in the second set of parentheses will be incorrect.

The correct usage is shown in equation D.

I think the answer is B

Which of the following proportions is true?
10/40 = 8/36
8/18 = 6/16
9/15 = 44/50
12/18 = 16/24

Answers

Answer:

D. 12/18 = 16/24

Step-by-step explanation:

The method we must go about to solve this is finding the constant. For A, we can solve it by doing 10 divided by 8 (which is 1.25) and then 40 divided by 1.25 to see if it is 36. Alternatively, we can do 10 divided by 8 and then 40 divided by 36 to see if the constant is the same. It's up to you!

My answers:

A. No (constant varies)

B. No (constant varies)

C. No (constant varies)

D. Yes! Constant is 0.75

How to solve for D:

12/16 = 0.75

18/0.75 = 24       OR          18/24 = 0.75

I hope this helps! Please don't hesitate to reach out with more questions!

Hello!

10/40 = 8/36 ?

10 × 36 = 40 × 8

360 = 40 × 8

360 320 => 10/40 8/36

8/18 = 6/16 ?

8 × 16 = 18 × 6

128 = 18 × 6

128 108 => 8/18 6/16

9/15 = 44/50 ?

9 × 50 = 15 × 44

450 = 15 × 44

450 660 => 9/15 44/50

12/18 = 16/24 ?

12 × 24 = 18 × 16

288 = 18 × 16

288 = 288 => 12/18 = 16/24

Good luck! :)

A nut mixture has peanuts,almonds and cashews in the ratio 5:3:1. Question:How much nust mixture should Helen buy if she wants to ensure she has 750g of almonds in the mix? please help!!will submit it today....​

Answers

Answer:

2250 g of nut mixture

Step-by-step explanation:

In order to use the ratio, we have to divide that 750 g by 3.

So 250 g multiplied by 5 is 1250. That's the amount of peanuts. Then just 1 for the cashews.

So, adding all of that up, the answer is 2250 g of nut mixture.

Answer:

1350g of nut mixture

Step-by-step explanation:

5:3:1 = 5x + 3x + x

5x = 750

x = 150

5x + 3x + x

= 5(150) + 3(150) + (150)

=750 + 450 + 150

=1350g

Hope it helps...

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