a)
Factorise fully
2p - 4pq
b)
Factorise
r? - 100
c)
Factorise k2 + 13k + 30
d)
Solve
K + 13k + 30 = 0

Answer:

a) 21.43% (It is unusual to happen)

b) 21.43%

c) 57.14%

d) Probability of you liking both songs played = 25%

Probability of liking exactly one song = 50%

Step-by-step explanation:

a)

If you like 4 of the 8 songs, the probability of liking the first song is 4/8

Then, for the second song, we have 3 songs you like among 7 songs that can be played, so the probability is 3/7.

So the probability of you liking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43% (It is unusual to happen)

b)

If you like 4 of the 8 songs, you dislike 4 as well, so the probability of not liking the first song is 4/8.

Then, for the second song, we have 3 songs you dislike among 7 songs that can be played, so the probability is 3/7.

So the probability of you disliking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43%

c)

In this case you can like either the first or the second song, so we need to sum the probabilities of both cases:

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/7) = 0.2857

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/7) = 0.2857

P = P1 + P2 = 0.5714 = 57.14%

d)

If a song can be replayed, we have:

Probability of you liking both songs played:

P = (4/8) * (4/8) = 0.25 = 25%

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/8) = 0.25

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/8) = 0.25

P = P1 + P2 = 0.5 = 50%

Answer:

Width=x+4

Step-by-step explanation:

Answer:

TR = 3 ft

Step-by-step explanation:

Answer:

n(-8)=16 is the answer

Answer:

a) 125 ml of milk

b) 7.5 g of butter

Step-by-step explanation:

Answer: A. Simon needs 125 ml of milk to make 4 pancake.  B. He needs 7 and a half grams of butter to make 12 pancakes

Step-by-step explanation:

A) If we know that 250 ml milk can help make 8 pancakes then we could set up a proportion as to how many milk we need to make 4 pancakes.

  [tex]\frac{250}{8} = \frac{x}{4}[/tex]   Solve by cross  product,

8x = 1000

x = 125  

B) The same with this we could also set up a proportion. We know you need 5 grams of butter when making 8 pancakes.

[tex]\frac{5}{8} = \frac{x}{12}[/tex]    solve by cross product

60 = 8x

x = 7.5

Answer:

the answer would be (-4,1)

Answer:

(-4,1)

Step-by-step explanation:

-5+1=-4

4-3=1

Thus the answer is -4,1

Answer:

2345,2034,2134

Step-by-step explanation:

2 is between 1-9 and 345 does not include a repeated number, the same gods for the rest

Answer:

The answer is 2345, 2034, 2134

Step-by-step explanation:

I did the quiz on edge and got it correct!

Hope this helps

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Answer:

(0,1) , (2,4) , (4,7)

Explanation:

convert the equation into slope-intercept form (this would be y=3/2x+1)

now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.

Answer:

They are the same

Step-by-step explanation:

Both have a 2 1/2 height so we wont consider that in our answer. What we have left is the width and length.

Box A = 2 × 1/2 = 1

Box B = 1 × 1 = 1

Answer:

yellow

Step-by-step explanation:

you can only change the amount of games you buy, which would be 24/game for xbox one and 20/game for ps4

Answer:

C. a numerical expression.

Step-by-step explanation:

Right away, what you should know is that this is an expression. Equations are expressions, except wiht an equal sign. This is not algabraeic though, since there is no valuable (for example 3x, or 7a). So, through the process of elimination, the answer would be a numerical expression.

Hope this helps!

Answer:

x =  -2  ±sqrt( 19)

Step-by-step explanation:

x^2 + 4x = 15

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

x^2 + 4x+4 = 15+4

(x+2)^2 = 19

Take the square root of each side

sqrt( (x+2)^2) =±sqrt( 19)

x+2 =  ±sqrt( 19)

Subtract 2 from each side

x+2-2 = -2  ±sqrt( 19)

x =  -2  ±sqrt( 19)

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Step-by-step explanation:

Answer:

=1

Step-by-step explanation:

find GCD, nothing can divide the two no.

1 is the ans.

Answer:

Well you have 6 lessons in total.

Step-by-step explanation:

if you finished 2 lessons you are 1/3

It is basically the same as 2/6 lessons

so

2/6 = 1/3

You have 6 lessons

Answer:

6

Step-by-step explanation:

Answer:

C) BE ≅ CE

Step-by-step explanation:

[tex]\triangle BEA \cong \triangle DEC\\BE \ncong CE\\[/tex]

Because BE and CE are not corresponding sides.

The corresponding sides and angles of a congruent triangle are congruent.

(c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

From the question, triangles BEA and CED are congruent.

This means that, the following statements are true

The above statements represent options (a), (b) and (d).

This means that:

[tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

This is so because, BE and CE are not corresponding sides.

Hence, (c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

Read more about corresponding triangles at:

https://brainly.com/question/16459002

Answer:

The answer is Real numbers

Answer:

A = 5/6

Step-by-step explanation:

The line is given by

Ax - 4y = 1

We have a point on the line

(6,1)

Replace x with 6 and y with 1

A(6) - 4(1) = 1

6A -4 = 1

Add 4 to each side

6A -4+4 = 1+4

6A = 5

Divide each side by 6

6A /6 = 5/6

A = 5/6

Answer:

20

Step-by-step explanation:

Let x represent our numbewr

x + 12 = 160/x

x^2 + 12x -160 = 0

(x-20(x+8)  = 0

x = -8,20

20 is the only natural number solution.

Answer:

9

Step-by-step explanation:

(5-2)*3

5-2=3

3*3=9

Answer:

3(5-2) = 9

Step-by-step explanation:

PEMDAS

Answer:

5/18

Step-by-step explanation:

If we count all of the outcomes in the table with exactly one 6 in it, we will see that there are 10 outcomes that do so, and this is out of 36, so the probability will be 10/36 or 5/18.

Answer: 4x+3

Step-by-step explanation: 2x+2x=4x

                                             2x1=3

The simplified form of the equation is  4x² + 6x + 2.

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given the equation (2x + 2)(2x + 1)

using property, (a + b)(c + d) = a(c + d) + b(c + d)

(2x + 2)(2x + 1) = 2x(2x +1) + 2(2x + 1)

2x + 2)(2x + 1) = 2x(2x) + 2x(1) + 2(2x) + 2*1

2x + 2)(2x + 1) = 4x² + 2x + 4x + 2

2x + 2)(2x + 1) = 4x² + 6x + 2

Hence the Expand form of the equation is 4x² + 6x + 2.

Learn more about simplification;

https://brainly.com/question/2804192

#SPJ2

The surface area of a sphere can be determined from the radius by the equation of 4πr². Hence, the surface area of the sphere of 9 units is approximately 1017.36 square meters.

Surface area is the total area that covers the surface of a 3-dimensional object. It is a measure of how much area needs to be covered to completely wrap around the exterior of the object.

In other words, it is the sum of the areas of all the faces or surfaces that make up the object. The unit of measurement for surface area is typically square units, such as square centimeters, square meters, or square feet.

The formula for the surface area of a sphere is:

A = 4πr^2

Where A is the surface area and r is the radius of the sphere.

Substituting r = 9 units, we get:

A = 4π9²

A = 4π(81)

A = 324π

Therefore, the surface area of a sphere with a radius of 9 units is approximately 324π square units, or approximately 1017.36 square units if you round to two decimal places.

Find more on surface area :

https://brainly.com/question/29298005

#SPJ7

Answer:

-11

Step-by-step explanation:

-8 - 3 = -11

Answer:

x = 2

Step-by-step explanation:

if the line passes through the x axis it means  we should use the of x

if it passes through y we should use value of y

in this question perpendicular means at a 90 degree angle

the coordinates is 2,6

so x must be 2

Answer:

1: x = 2/5

2: x = 3/7

3: x = 1/22

Answer:

The Second Option

Step-by-step explanation:

The lines should be across the rectsngle verticslly don the middle and horisonitally through the mifddle. This allows you to fold the shape across the line, through the middle and be exactly a half of the shape.

Answer:

b on 3dge

Step-by-step explanation:

Tu tá no brainly americano, irmão.

[tex]7 \times - 5 = - 7 - 7 - 7 - 7 - 7 = - 35[/tex]

Answer:

2

Step-by-step explanation:

The mode is the value that appears the most times in the data. In other words, it has the largest frequency.in some questions this is denoted as MO

Here, each number appears,

1 appears 2 times

2 appears 3 times

3 appears once

6 appears once

7 appears once

So, it is clear that 2 appears the most number of times.

Hope this Helps

Answer:

Mode:

Mode is a number which occur or appears most often or frequently in set of numbers.It is that value which has the highest frequently .It is denoted by M0.

Given data: 1,1,2,2,6,7,3,2

Here,

2 is repeated 3 times,

The frequency of 2 is more in comparison to others.

So ,mode=2

Hope this helps..

Good luck on your assignment..