MATHEMATICS COLLEGE

I need to find the median and mean of a set of 8 numbers

8,8,10,10,10,12,13,16

Answers

Answer 1

Answer:

Answer:

median = 10

mean = 10.9

Step-by-step explanation:

These are the answers because:

1) Whenever, there is an even set of numbers for the median, you have to take the two middle numbers in the number set given and then add them. After you add them, you have to divide them by 2.

In this case, it would be:

10 + 10 = 20

20/2 = 10

2) 10.9 is the answer for mean because first, you need to add all the numbers in the set. If you add

8 + 8 + 10 + 10 + 10 + 12 + 13 + 16 you would get 87. Then, you have to divide by how many numbers there are in the number set. In this case it would be 87/8 which is 10.875

Once you round it, you will get 10.9

Hope this helps!

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Collect the data for our solar system

Answers

Answer:

AU:

Merc-0.39

Venus-0.72

Earth- 1

Mars- 1.52

Jupiter - 5.20

Uranus - 19.1

Neptune - 30

Years:

Merc-0.24

Venus-0.61

Earth- 1

Mars- 1.88

Uranus - 84?(maybe)

Neptune - 165

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

Answers

You can simply expand each product and see whether it gives you a difference of squares.

•   $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\n\n \mathsf{=(-7x+4)\cdot (-7x+4)}\n\n \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$   ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\n\n \mathsf{=-28x+16-(-49x^2+28x)}\n\n \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\n\n \mathsf{=49x^2-28x-(-28x+16)}\n\n \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\n\n \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$   ✔

That is a difference of two squares.

—————

•   $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\n\n \mathsf{=-49x^2+28x-(-28x+16)}\n\n \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$   ✖

which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

Answer:

The expression which will result in difference of two squares is:

(–7x + 4)·(–7x – 4)

Step-by-step explanation:

We know that the formula of the type:

$(a-b).(a+b)=a^2-b^2$

i.e. it is a difference of two square quantities. (a^2 and b^2)

Hence the option which satisfies the following expression is:

(-7x + 4)·(-7x-4)

since,

here $a=-7x$ and $b=4$ and

$(-7x+4).(-7x-4)=(-7x)^2-(4)^2=(7x)^2-4^2$

so the expression is a difference of two square quantities:

$(7x)^2$ and $4^2$

Hence, the correct answer is:

(-7x + 4)·(-7x-4)

Ms Adams shares out 36 pencils between Niamh and jack in the ratio 4:8 How many pencils does each get?

Answers

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

Answer:Adam gets 12 and nidam gets 24..

Step-by-step explanation:feel pleasure to help u..

Find the slope given A(1, -1) B(-2, 1)

Answers

Answer:-2 /3

Step-by-step explanation: 1-(-1)/-2-1

1+1/-3

2/-3

-2/3

Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f (x )equals8 x minus 5 (A) [0,4] (B) [negative 4 comma 3 ]

Answers

Answer:

a. Maximum= 27, minimum= -5

b. Maximum= 19, minimum=-37

Step-by-step explanation:

We have the function $f(x)=8x-5$ . Since the function correspond to a line, then the maximum and minimum values of the function over an interval are in the endpoints of the interval.

Observe that if the line has negative slope then the minimum value is in the right endpoint. If the line has positive slope the minimum value is in the left endpoint of the interval.

The function f(x) has slope m=8. Then

a. the minimum value of f(x) in the interval [0,4] is reach when x=0, and the minimum is $f(0)=8*0-5=-5$ and the maximum is $f(4)=8(4)-5=32-5=27$

b. the minimum value of f(x) in the interval [-4,,3] is reach when x=-4, and the minimum is $f(-4)=8(-4)-5=-32-5=-37$ and the maximum is $f(3)=8(3)-5=24-5=19$

12. In Europe, 88% of all households have a TV. 51% of all households have a TV and VCR. What is the probability that a household has a VCR given they have a TV?