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?

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

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

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

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

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 :)

Answer:

sorry i wasnt gonna type it out. im on phone

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

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.

Answer:  .50x+15=25  

I hope this helps.

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

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.

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.

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]

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

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]

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

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.

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

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

Step-by-step explanation:

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]

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]

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

Answer:

10:05

Step-by-step explanation:

10:05

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

Answer:

A

Step-by-step explanation:

answer is in above photo

Answer:

1/3+(-1)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

mark it as the Brainliest

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:

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!

Answer:

The answer is25th August