Suppose that of 2000 students, 1100 take math, 500 take science, and 300 students take both math and science. What is the probability that a student selected at random takes math or science?

Answers

Answer 1

Answer:

4/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that a student selected at random takes math or science = probability a student takes maths + probability a student takes science

probability a student takes maths = number of maths students / total number of students

probability a student takes science = number of science students / total number of students

(500 / 2000) + (1100 / 2000) = 1600/2000 = 4/5


Related Questions

Julie has won 4 prizes after rolling up the rims of 24 coffee cups. How many prizes can
she expect to win if she rolls up the rim of 54 cups?

Answers

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Nice to see someone from Canada asking a question.

Set up a proportion

4/24 = x/54            Cross Multiply

4*54 = 24*x           Combine the left  

216 = 24x               Divide by 24

x = 216/24

x = 9

She should expect 9 prizes

10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft

Answers

The answe is the last one

If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a perfect cube?

Answers

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

There are [tex]6^2=36[/tex] non-distinct sums that can be achieved when rolling two fair sided dice.

The smallest of these sums is [tex]1+1=2[/tex] and the largest of these sums is [tex]6+6=12[/tex]. Within this range, there exists only one perfect cube, [tex]2^3=8[/tex].

Count how many ways we can achieve a sum of 8 with two dice:

[tex]\begin{cases}2+6=8,\\6+2=8,\\3+5=8, \\5+3=8,\\4+4=8\end{cases}\\\\\implies \text{5 ways}[/tex]

Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to [tex]\boxed{5/36}[/tex]

If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16​

Answers

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25

Answers

Answer:  .50x+15=25  

I hope this helps.

Help needed right now please.
A)Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,

Answers

A) 21 (21 - 1 = 20)
B) 75 (8 x 15 = 120; 120 - 3 - 10 - 8 - 3 - 10 - 1 - 10 = 75)
C) 6 (any value close to the mean)

Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.

1. If we graph the equation, what is the slope of the graph?

2. Where does the graph intersect the y-axis?

3. Where does it intersect the x-axis?

Answers

Answer:

sorry i wasnt gonna type it out. im on phone

maths pi question. SEE ATTACHMENT

Answers

Answer:

r = 6cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/ pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

The radius is 6 cm

r = 6cm

Answer:

radius, r = 6cm

Step-by-step explanation:

[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]

At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?

Answers

Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

a cube that is used as a table is 2ft on each side. how many square feet will be painted if all sides are painted

A. 24ft²
B. 48ft²
C. 36ft²

Answers

Answer:

A

Step-by-step explanation:

answer is in above photo

I need help quick it's urgent!

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

start by squaring both sides:

[tex](\sqrt{-8+3x} )^2=(2)^2[/tex]

squaring a square root cancels it out:

[tex]-8+3x = 4[/tex]

solve for x by first adding 8 to both sides:

[tex]3x=12[/tex]

then divide both sides by 3:

[tex]x=4\\[/tex]

Select the correct answer.
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
A.
(b + 3)(b) = 26, which has one solution
B.
2(b + 3) + 2b = 26, which has infinitely many solutions
C.
2[(b + 3) + b] = 26, which has one solution
D.
2[(b + 3) + b] = 26, which has no solution

Answers

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

C. 2[(b + 3) + b] = 26, which has one solution

Step-by-step explanation:

Please brainliest and dont forget to say thanks :)

Find the mode of the data.
The number of awards earned
from each school in the district.
1, 3, 1, 5, 7, 8, 10
Mode: [?]
hande in the aroon hoy

Answers

Answer:

1

Step-by-step explanation:

The mode is the number that appears most often

1 appears twice in the data list and that is the mode

Answer:

Mode: 1

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

please please help me!! THANK YOU. this is due tonight

explaining your answer = brainliest/five stars

the area of this rectangle = ___ square cm

Answers

Answer:

300cm

Step-by-step explanation:

to get the area of a rectangle, all you have to do is (bh) or base * height. in this case, the base is 20cm and the height is 15cm. once you multiply the two lengths you will get 300 meaning that the area of this rectangle is 300 cm.

The required area of a rectangle is 300 square cm which is given in the figure.

What is the area of the rectangle?

The area of a rectangle is defined as the multiplication of the length and width.

The area of a rectangle = L ×  W

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given a rectangle that has :

The length of the side = 20 cm

The width of the side = 15 cm

The area of a rectangle = The length of the side × The width of the side

The area of a rectangle = 20 cm × 15 cm

Apply the multiplication operation,

The area of a rectangle = 300 square cm

Therefore, the required area of a rectangle is 300 square cm.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answers

Answer:

12 additional sticks of butter

Step-by-step explanation:

First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.

y = [tex]\frac{x}{2}[/tex] will be the equation.

Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.

Plug in 24 as x into the equation, and solve for y:

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{24}{2}[/tex]

y = 12

So, she will need 12 additional sticks of butter

Find the second term of the arithmetic series described by a = -10, an = 26 and Sn = 200. 1. 1.5 2. -8.5 3. 16 4. 25

1. 1.5
2. -8.5
3. 16
4. 25​

Answers

Answer:

16

Step-by-step explanation:

mark it as the Brainliest

Hello everyone! Please help me with this! I don't undertsand how to solve it :(​

Answers

Answer:

x=40

Y= 35

Angle AEC= 55

Step-by-step explanation:

Answer:

[tex]x = 40 \\y = 35 \\\angle AEC = 55^\circ[/tex]

Step-by-step explanation:

Find x :

[tex]( 3x + 5)^{\circ} + ( x +15)^{ \circ} = 180 ^{\circ}[/tex]                    [tex][ \ straight \ line \ angles \ ][/tex]

[tex]3x + 5 + x + 15 = 180\\\\4x + 20 = 180 \\\\4x = 160 \\\\x = 40[/tex]

[tex]\angle AED \ = 3x + 5 = 125 ^{ \circ}[/tex]

[tex]\angle DEB = (x + 15 ) = 40 + 15 = 55^{ \circ}[/tex]

Find y :

[tex]( y + 20)^{ \circ} + (4y - 15)^{ \circ} = 180^{\circ}\\\\y + 20 + 4y - 15 = 180\\\\5y + 5 = 180\\\\5y = 175\\\\y = 35[/tex]

[tex]\angle AEC = ( y + 20 ) = 35 + 20 = 55^\circ\\\\\angle BEC = (4y - 15) = 4(35) -15 = 140 - 15 = 125^\circ[/tex]

From the equations below, let's find the value of x.
x=y=2z
xyz=256​

Answers

Answer:

x=8

Step-by-step explanation:

xyz=256​

x=y=2z

Replace y with x and z with x/2

x * (x) *(x/2) =256

x^3 /2 = 256

x^3 = 512

Take the cubed root of each side

(x^3) ^(1/3) = (512) ^ (1/3)

x=8

Ravi and Bella start watching a dvd a 7:40. The dvd lasts for 2 hours 25 minutes. At what time do they stop watching the dvd.

Answers

Answer:

10:05

Step-by-step explanation:

10:05

7:40+2 hours =9:40+25=10:05

Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints. Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.

Answers

Answer:

Charlene claim is true.

Step-by-step explanation:

Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.

It is not necessary as  shown in the diagram (a).

Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.

It is true as shown in the diagram (b).

So, Charlene claim is true.

Please give me the answer and show me how you solved it

Answers

speed = distance over time

so 2.75 / .5 =

5.5 mph

Answer:

I think it is option 1

Step-by-step explanation:

11/4 x 1/2

[tex]\frac{11 *1}{4 * 2} = \frac{11}{8}[/tex]

which would equal: [tex]1\frac{3}{8}[/tex]

I might be wrong.

give me the factors of 30​

Answers

Answer: 1,2,3,5,6, and 10

Step-by-step explanation:

What is 8 weeks from June 30th

Answers

Answer:

The answer is25th August

Determine the measure of angles 1, 2 and 3.
Measure of 211
Measure of 22
O
Measure of 23
22°
479
1
262
3

Answers

Answer:

1) 40

2) 118

3) 71

Step-by-step explanation:

3) is the easiest. All interior angles add to 180

Angle 3 = 180 - 62 - 47

Angle 3 = 71

2) Angle 2 is on the same straight line as 62 and together they equal 180

Angle 2  = 180 - 62

Angle 2 = 118

1) Using 22, Angle 2 and the knowledge that all interior angles equal 180

180 - 22 - 118 = Angle 1

40 = Angle 1

6 (x - 5 ) - 4x = 3(4x - 5)
help asapppl

Answers

Answer :

Step by Step Explanation :
1. 6x - 30 - 4x = 12x - 15
2. 2x - 30 = 12x - 15
3. -10x - 30 = -15
4. -10x = 15
5. x = -10/15
6. x = -2/3 (simplified)

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
–196
–168
22
78

Answers

Answer:

-168

Step-by-step explanation:

because  f(x) = 8 - 10xg(x) = 5x + 4

(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2

(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168

The coordinates of p and q are p(3,5) and q (7,1). Find the gradient of pq

Answers

Hi there!

[tex]\large\boxed{\text{Gradient = -1}}[/tex]

We can find the slope using the slope formula:

Slope = (y2-y1)/(x2-x1)

Plug in the given coordinates:

Slope = (1 - 5)/(7 - 3)

Simplify:

Slope = -4/4

Slope = -1

what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater

Answers

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

 ×2         Multiply 9 × 2 = 18

------        Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800

What equation would represent a line with a slope of 1/3 and a y-intercept of -1?

Answers

Answer:

1/3+(-1)

Step-by-step explanation:

what’s the product? (3x-6) (2x^2-7+1)

Answers

Answer:

0

Step-by-step explanation:

because the carrot is wrong

Answer:

Assuming you are using the zero product property, x = 2, √(3), -√(3)

Step-by-step explanation:

first I factored the (2x^2-7+1) into 2(x^2 - 3)

I also factored the (3x-6) into 3(x - 2)

Now I have the equation 6(x - 2)(x^2 - 3) = 0

I'll start with the easiest one, which is x - 2 = 0, which gives me 2

Now I solve for x^2 - 3 = 0, and I end up with two answers:

√(3) and -√(3)

So in total, x as 3 answers

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