Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram

Answer:

For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8

Line 3 = (200 × 4) + (60 × 4) + (3 × 4)      [multiply the terms in the brackets]

          =  800  +   240  + 12  

Answer:

Refer to the attachment

Answer:

-12×3 = -36.............

Answer:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

Answer:

-4<-1 and -1<4

Step-by-step explanation:

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

Answer:

The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.

Step-by-step explanation:

16 - 2.5 = 13.5  ( The amount of gas the car has already used )

30 * 13.5 = 405  ( How far the car traveled with 13.5 gallons of gas )

Hope this helps!

Answer:

The answer is = (x',y')=(-x,-y)

Step-by-step explanation:

= (x',y')=(-x,-y)

Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.

Rule of 180° Rotation

If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).

Please check the attached file for a detailed answer.

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Answer:

y=3x-4

Step-by-step explanation:

Answer:

D. [tex]4\frac{1}{16}[/tex]

Step-by-step explanation:

Substitute the given value into the function and solve.

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

18

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

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Answer:

39.95+(how many shirts times 19.95)

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

Answer:

y² = 7

Step-by-step explanation:

Answer:

FH is the smallest side.

Step-by-step explanation:

This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.

That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.

You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.

So, FH is the smallest.

Answer:

the answer is -29

Step-by-step explanation:

Answer:

he is correct bc the pattern correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

65% of 51 = [tex]\dfrac{65}{100}*51[/tex]

                = 0.65 *51

                = 33.15

Answer:

im not sure on how to answer that

Step-by-step explanation:

Answer:

-2, 1.5

Step-by-step explanation:

(y1 + y2)/2 = y midpoint formula

so, (-1 + 4) = 3

3 / 2 = 1.5

y = 1.5

Step-by-step explanation:

To find the midpoint:

Use the formula;

d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4

Substitute the values into the equation above. This gives;

d = (-2 + -2)/2, (4 + -1)/2

= (-4/2), (3/2)

=(-2, 1.5) <<<<<<< ✓ Ans

I hope this helps. Thank you

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Answer:

75-82,            in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3

Answer:

No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)

Step-by-step explanation:

Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.

Answer:

3

Step-by-step explanation:

[tex]y - 3 = n(x - 5)[/tex]

[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]

[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]