A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement

Answer:

Option A

Step-by-step explanation:

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Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Answer:

It's maximum value is 28.

Step-by-step explanation:

Cosine function:

The cosine function has the following format:

[tex]f(x) = A\cos{x}[/tex]

The difference between the maximum and minimum point is 2A.

y=16 cos(x)+k

A = 16, so 2A = 32.

Minimum value of -4. What is its maximum value?

[tex]M - (-4) = 32[/tex]

[tex]M + 4 = 32[/tex]

[tex]M = 32 - 4 = 28[/tex]

It's maximum value is 28.

Answer:

1. X-intercepts

2. Midpoint

3. Vertex

4. Y-Intercept

Step-by-step explanation:

Answer:

A & D

Step-by-step explanation:

A. acute because all angles are less than 90 degrees

D. scale because all sides have different

if you look up the definition of the properties you will see they don't apply

Answer:

F.Obtuse angle

because the angles are between 90-180

Answer:

[tex] \frac{1}{21} [/tex]

Step-by-step explanation:

refer to solution in picture

Step-by-step explanation:

The answer is 24 I think.

using the formula for finding the area of a triangle, which is....

Area= b times height divided by 1/2 or 2

First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.

Step-by-step explanation:

the area of the triangle can be find by using the heron's formula...

that is:

√s-a×s-b×s-c

So,

a=8cm,b=6cm,c=10cm

Semi perimeter= 8+6+10/2=24/2=12

√12(12-8)(12-6)(12-10)

=√12×4×6×2

=√ 2×2×3×2×2×2×3×2

= √2×2×2×3

= 12 cm...

Answer:

the answer would be 1/22 = x/3

Step-by-step explanation:

because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons

Step-by-step explanation:

Height of the right circular cone = 18.8 metres

And base is 19.3 metres

Volume of the right circular cylinder is given by,

= πr²h

= 3.14 × (19.3)² × 18.8

= 21999.98(approx.) cubic metre

Rounding off nearest tenth

= 21999 cubic metres

The volume of the right circular cone is 280,199.5 m³

'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'

According to the given problem,

Height = 18.8 m

Radius = 19.3 m

Volume of right circular cone = [tex]\frac{\pi r^{2}h }{3}[/tex]

                                                 = [tex]\frac{\pi * 19.3^{2} * 18.8}{3}[/tex]

                                                 = 280199.499 m³

                                                 = 280199.5 m³

Hence, we can conclude that the volume of the right circular cone is 280199.5 m³.

Learn more about right circular cone here: https://brainly.com/question/16655425

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Answer:

22h−9.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )

24x = 216 ( divide both sides by 24 )

x = 9 → A

Answer: $206

Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.

Answer:

Option c

Step-by-step explanation:

multiply the expression in the parentheses by 4 and you get 12x+16

a doesn't fit, x³ is x*x*x, not plus

b 14x-2x is 12x, not 16x

d got a 5x expression with no correspondence on the other side and 12x² isn't 17x²

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

Answer:

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

Answer:

1st entry: 41

3rd entry: 17

Step-by-step explanation:

The 1st and 3rd entry are incorrect.

We will use the following for the 1st and 3rd:

[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]

[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]

where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.

Let's do part 1 now)

25+4+2(6)

29+12

41

Let's do part 3 now)

25+4-2(6)

29-12

17

Answer:

[tex]g(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

Parent function of the given graph is,

f(x) = [tex]\sqrt{x}[/tex]

If the parent function is shifted 2 units to he left the new function or image function will be,

g(x) = [tex]\sqrt{x+2}[/tex]

Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].  

Answer:

Not similar

Step-by-step explanation:

In triangle MLN & WXY,

Right angles - > 1

There is nothing common in these 2 triangles other than (1)

Therefore,

Not similar

Answer:

384 ft, this is the required answer

Answer:

area of shaded part = 512 ft^2

Step-by-step explanation:

find area of rectangle

length = 32 +8

=40 ft

breadth = 8 + 8

=16 ft

area of rectangle = l*b

=40*16 ft

=640 ft

since there are two square .we should find the area of two sqaure.

length = 8 ft

area of square = l^2

=8^2

=64 ft^2

area of another square = l^2

=8^2

=64 ft^2

area of shaded part = area of rectangle - (area of square + area of square)

=640 -(64 + 64) ft^2

=640 - 128 ft^2

=512 ft^2

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours

Answer:

B. 23,5

Step-by-step explanation:

Answer:

yes it does because men comes before women

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

Answer:

i think C because both of the percentages shown should get what the question is asking

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Convert the equation to slope-intercept form:

[tex]y+5=2(x+1)\\y+5=2x+2\\y=2x-3[/tex]

Therefore, the slope of the line is 2.

Answer:

2

Step-by-step explanation:

y+5=2(x+1) will turn into y=2x-3. Then you can see that the slope is 2 because 2x is = mx and m is slope.

Answer:

b= (3z-6)/(1+3z)

Step-by-step explanation:

z=(-b+6)/(3b-3)

cross multiple

z(3b-3)=-b+6

open the bracket

3bz-3z=-b+6

make -b the subject of the formula

-b = 3bz-3z-6

-b - 3bz = -3z - 6

factorize the left hand side...

-b(1+3z) = -3z-6

make -b the subject of the formula again

-b = -(3z-6)/(1+3z)

cancel the minus at both sides...

b = (3z-6)/(1+3z)

Answer:

b = [tex]\frac{3z + 6}{3z+1}[/tex]

Step-by-step explanation:

Simply solve for "b" , so the formula will be

b = .....

z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )

z(3b - 3) = - b + 6

3zb - 3z = - b + 6

3zb + b = 3z + 6

b( 3z + 1 ) = 3z + 6

b =  [tex]\frac{3z + 6}{3z+1}[/tex]

Given:

Consider the equation is:

[tex]\dfrac{1-x}{11}=6[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{1-x}{11}=6[/tex]

After multiplying both sides by 11, we get

[tex]1-x=66[/tex]

[tex]-x=66-1[/tex]

[tex]-x=65[/tex]

Multiply both sides by -1.

[tex]x=-65[/tex]

Therefore, the value of x is -65.

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

[tex]\frac{new}{old}[/tex]

then reduce or divide

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75