Question 1 of 10 According to the Venn diagram below, what is P(A U B U C)?

A. 21/25

B.24/25

C.22/25

D.23/25​

Question 1 Of 10 According To The Venn Diagram Below, What Is P(A U B U C)? A. 21/25B.24/25C.22/25D.23/25

Answers

Answer 1

Answer:

D. 23/25

Step-by-step explanation:

Add all the numbers inside the venn diagram for the number of outcomes

> 10+2+8+8+6+5+7 = 46

Then add all the numbers inside and outside the venn diagram for the number of possibilities

> 10+2+8+8+6+5+7+4 = 50

[tex]p(a \: u \: b \: u \: c \: ) = \frac{total \: number \: of \: outcomes}{total \: number \: of \: possibilities} [/tex]

[tex]p( a \: u \: b \: u \: c) = \frac{46}{50} [/tex]

[tex]p(a \: u \: b \: u \: c \: ) = \frac{23}{25} [/tex]


Related Questions

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?

Answers

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.

Based on the above information, the calculation is as follows:

[tex]= 1000 \times 3.5\% \times 3[/tex]

= 105

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Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy

Answers

Answer:

4.25+9.75+0.5x≤18

Step-by-step explanation:

4.25+9.75+0.5x≤18

14+0.5x≤18

0.5x≤4

x≤8

She can buy at most 8 packs of crackers.

Hope this helps :)

Fiona can buy maximum 8 number of packages of crackers.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Given that Fiona has $18 to spend and she spent $4.25 .

Now, she has the money $18 - $4.25 = $ 13.75

And she needs to save $9.75 from rest of the amount.

Therefore, $13.75 - $ 9.75 = $4

Now she has $4 to spend and one packet of crackers cost $0.50.

So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.

Therefore, Fiona can buy maximum 8 number of packages of crackers.

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can anyone help me out with this?

Answers

Given :

Evaluate the equation.

2x – 4(x – 2y) + 6y = ?

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

hope this helps ^^
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How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat

Answers

Answer:

2 minutes

Step-by-step explanation:

700/10 = 70

1 minute = 70 times

140/70 = 2 minutes

Answer:

2 minutes

Step-by-step explanation:

The heart beats 70 times per minute so 70+70=140.

how to evaluate (-1/2)×(-4)​

Answers

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE

Answers

Answer:

b>6

Step-by-step explanation:

4 pounds of grapes cost 5$ 7 pounds of grapes cost $8.75. What is the cost per pound?

Answers

Answer:

$1.25 per pound

-16=m/5 -18 prove m=10

Answers

Answer:

[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]

Step-by-step explanation:

Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]

 1.  The first is sum both sides by 18

   [tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]

 2. The second is multiply both sides by [tex]5[/tex]

   [tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]

So of this way you can proof that [tex]m = 10[/tex]

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

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One-fourth of a number increased by thirteen is less than two.

Answers

Answer: x < -44

Step-by-step explanation:

alright my fellow dude gamer, i want you to know that "a number" is basically just x

so lets do this

[tex]\frac{1}{4}x + 13 < 2[/tex]

ok now we are going to solve for x, no?

[tex]\frac{1}{4}x < -11[/tex]

i just subtracted 13 from both sides

now we divide -11 by 1/4

[tex]x < -44[/tex]

MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH

at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?

Answers

Answer:

I think -5

Step-by-step explanation:

-8-(3)= -5

if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.

Hope it helps

A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

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If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.

Answers

Answer:

32.24

Step-by-step explanation:

$2.02

($2.024 before rounded)

Please help me!!! It would really help

Answers

Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

There are four consecutive integers that add up to 22 what is the greatest integer

Answers

Answer:

7

Step-by-step explanation:

We can use the equation:

x + (x + 1) + (x + 2) + (x + 3) = 22

Combine like terms

4x + 6 = 22

Subtract 6 from both sides

4x = 16

Isolate x

x = 4

Plug in x

4 + (4 + 1) + (4 + 2) + (4 + 3) = 22

Solve

4 + 5 + 6 + 7 = 22

7 is the greatest integer

7 is the greatest integer

solve for x, find the measure of all angles hurryyyyyy! ​

Answers

Answer:

Step-by-step explanation:

Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.

H + j are not connected to the exterior angle at I.

Put more directly

2x + 3x = 150        Combine

5x = 150                Divide by 5

x = 150/5

x = 30

So H = 2 * 30 = 60

and J = 3*30  = 90

All triangles have interior angles that add up to 180

We have already accounted for 150.

JIH + 150 = 180  Subtract 150

jIH = 180 - 150 = 30

Summary

x = 30

JIH = 30                      

H = 60

J = 90

A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?

Answers

Answer:

$2.6 x 10^4

Step-by-step explanation:

Please help me with this I don't get it

Answers

Basically what you do is plot some points or plot the points that are given then you look at the points in quadrant 2 and describe what is going on like if it is linear or not.

what is the x intercept?

Answers

Answerrrrrrrrrr:

- 7/6

Find the unit rate.

12 laps in 30minutes

Answers

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Write the equation of the line from the graph.​

Answers

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

Answer: X= -5

Step By-Step explantation:

In ΔNOP, p = 7.5 inches, ∠O=8° and ∠P=25°. Find the length of n, to the nearest 10th of an inch.

Answers

Answer: 10.17898 so

About 10.2

Answer: 10.6

Step-by-step explanation:

Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)

Answers

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

50 points!!! help fast! 50 points!!!

Answers

Answer:

∠PQC = 26.25°

Step-by-step explanation:

∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°

Finding ∠PQC

1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

In a scale model of a boat 1 inch represents 8 feet

Answers

Answer:That is amazing.

Step-by-step explanation:

tha t is just wonderful news, now what was the question?

Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?

Answers

She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.

Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.

Answers

Answer:

He can stop testing because he has found all the roots.

Step-by-step explanation:

I took the test and it said I got it right.  Hope this helps!

What are the x-intercepts of the graphed function?​

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.

Answers

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

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