A package of 12 pencils costs £2.95.
A binder costs £3.48.
Penelope buys a package of pencils and a binder. She pays with a £10
note.
What is her change?
​

Answer:

0.4196

0.2098

0.0280

0.2378

Step-by-step explanation:

Given that:

Number of females = 8

Number of males = 6

Total = 8 + 6 = 14

Number of positions = 5

Probability = required outcome / Total possible outcomes

Total possible outcomes = 14C5

nCr = n! / (n-r)! r!

14C5 = 2002 (from calculator)

​(A) 3 females and 2​ males?

Required outcome : 8C3 * 6C2 = 56 * 15 = 840

840 / 2002 = 0.4196

(B) 4 females and 1​ male? ​

(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098

(C) 5​ females?

8C5 / 14C5 = 56 / 2002 = 0.0280

​(D) At least 4​ females?

4 female 1 male + 5 females

((8C4 * 6C1) + 8C5) / 14C5

(420 + 56) / 2002 = 0.2378

Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Answer:

(-5,3)-3/2=(-1,-3)

Step-by-step explanation:

So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)

y intercept form is y=mx+b.

I hope one of those helps

Answer:

the equation for the function shown is y= -3/2x -9/2

Step-by-step explanation:

You can find the slope of the graph by counting how many spaces up or down over how many spaces left or right between two points. Start from the left of the graph and go towards the right of the graph when doing this. If you count the spaces between the two points on the graph, it is down six units (-6 on top) and 4 units right (4 on bottom) to get a slope of -6/4, which can be simplified by dividing both the top and bottom by two to get a slope of -3/2. Next you can use the point-slope form to find the equation of the graph in the form y=mx + b. Point slope form looks like this: y-y1=(the slope)(x-x1).

Plug in what you got for the slope and the coordinates for any point on the graph (the y coordinate replacing y1 and the x coordinate replacing x1). Here, I used the point (-1, -3), but you should get the same answer no matter what point you use, as long as it is a point on the graph:=> y-(-3)= -3/2(x-(-1))

=>y+3=-3/2(x+1)

distribute the -3/2 to both terms in the parentheses: y+3= -3/2x -3/2

subtract 3 from both sides to get y by itself (aka to convert to the form y=mx+b): y= -3/2x -9/2 (Here, -9/2 is your y-intercept, or where the graph crosses the y-axis).

Answer:

b = 50 - 5m

Step-by-step explanation:

i think this is correct but i didnt put much thought into it

Answer:

0-5

Step-by-step explanation:

1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation:

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

Rate positively and give brainlist

Answer:

7/11

Step-by-step explanation:

I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.

7/11 = .6363

9/13= .6969

7/11 is the closest

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

Answer:

cost = 56 + 8t, where t is the number of hours worked for.

for 4 hours of work, cost = 56 + 8 x 4 = $88

Step-by-step explanation:

Answer:

congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem

Step-by-step explanation:

5x-28 = 2x+8

3x=36

x=12

x+4 = 2x-8

(12)+4 = 2(12)-8

16 = 16, AB is congruent to DE

x-2 = 3x-26

(12)-2 = (36)-26

10 = 10, AC is congruent to DF

Answer:

r<-3

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Given

21r < 7 ( isolate r by dividing both sides by 21 )

r < [tex]\frac{7}{21}[/tex] , that is

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

Answer:

???

Step-by-step explanation:

so whats the question.

Step-by-step explanation:

Let x be the amount Jennifer needs to spend more.

We have $112.49 + x >= $250.

We subtract $112.49 from both sides of the inequality to get x >= $137.51.

Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.

Answer:

33

Step-by-step explanation:

i think plz dont be mad

Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]

General equation of hyperbola is :

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]

Hence, this is the required solution.

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

Answer:

I think it's

Step-by-step explanation:

73.70×3

221.1

Answer:

(6x + 2) feet

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2L + 2 W

Where L = Length

W = Width

Hence, the:

The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.

The perimeter of the rectangular pool =

2(2x - 3) + 2(x + 4)

= 4x - 6 + 2x + 8

= 4x + 2x - 6 + 8

= (6x + 2) feet

Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet

Answer:

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

Answer:

JK=KI

Step-by-step explanation:

Answer:

KJ=KI

Step-by-step explanation:

They're the same length

Answer:

1.25n

Step-by-step explanation:

n times 125% would be increasing it by 25%, so multiplying it by 1.25 would accomplish the same thing

Answer:

(30, 25)

Step-by-step explanation:

Substitute (2/3)x + 5 for y in the second equation:

7x - 3([2/3]x + 5) = 15

Then:

7x - 2x - 15 = 15, or:

5x = 30.  Thus, x = 30, and from the first equation we get:

y = (2/3)(30) + 5 = 20 + 5 = 25

The solution is (30, 25)

Answer: 6

Step-by-step explanation:

3/4 divided by 1/8 is the same as 3/4 multiplied by the reciprocal of 1/8( which is 8) therefore, 3/4 ×8=6

This can help you remember how to multiply fractions :Dividing fractions is easy as a pie, flip the second number and multiply, and don't forget to simplify, before its time to say goodbye.

Answer:

Step-by-step explanation:

Answer:

Hi :)

Step-by-step explanation:

Answer:

{0, 10, 42}

Step-by-step explanation:

The Domain acts like x and the Range acts like y and f(x) = y

f(x) = 2x^2 - 8

f(-2) = 2(-2)^2 - 8

f(-2) = 2(4) - 8

f(-2) = 8 - 8

f(-2) = 0

f(3) = 2(3)^2 - 8

f(3) = 2(9) - 8

f(3) = 18 - 8

f(3) = 10

f(x) = 2x^2 - 8

f(5) = 2(5)^2 - 8

f(5) = 2(25) - 8

f(5) = 50 - 8

f(5) = 42

To check, look at the graph below ---

                                                             |

                                                            V

Answer:

for members: 1, 2,3,4,5

for non-members : 2,4,6,8,10

will cost same.

Step-by-step explanation:

6 + 2 = 8

members total $8 for 1 class

non-members total $4 for 1 class

8×2=16

8×3=24

8×4=32

8×5=40

4 × 2 = 8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

Answer:

55%

Step-by-step explanation:

The total number of questions gotten correctly = 22

The total number of questions to be answered = 40

The percent of questions Joan got correctly is calculated as:

(The total number of questions gotten correctly/The total number of questions to be answered) × 100

22/40 × 100

= 55%