Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.

Answer:

68

Given:

Substitute equation 1 into 2

Find y:

y = x - 5

y = 1 - 5     (when x is 1)

y = -4

========

y = x - 5

y = 4 - 5        (when x is 4)

y = -1

Then 4x² + 4y²:

Answer:

68

Step-by-step explanation:

[tex]\textsf{Equation 1}:\:x-5=y[/tex]

[tex]\textsf{Equation 2}:\:xy+4=0[/tex]

Substitute Equation 1 into Equation 2:

[tex]\implies x(x-5)+4=0[/tex]

[tex]\implies x^2-5x+4=0[/tex]

Factorize:

[tex]\implies (x-1)(x-4)=0[/tex]

Therefore:

[tex]x=1, x=4[/tex]

Substitute found values of [tex]x[/tex] into Equation 1 and solve for [tex]y[/tex]:

[tex]x=1\implies 1-5=-4[/tex]

[tex]x=4\implies 4-5=-1[/tex]

Substitute found values into [tex]4x^2+4y^2[/tex] and solve:

[tex]\textsf{For}\:(1,-4)\implies 4(1)^2+4(-4)^2=68[/tex]

[tex]\textsf{For}\:(4,-1)\implies 4(4)^2+4(-1)^2=68[/tex]

Note:  As [tex]4x^2+4y^2[/tex], the values of x and y can be interchanged, so no need to input both sets of ordered pairs into the equation to solve.

Answer:

A

Step-by-step explanation:

A) r = 8

B) r = 4

C) r = [tex]\sqrt{\frac{30}{\pi } }[/tex] ~ 3.09

D) r = [tex]\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77[/tex]

Circle A has the largest radius, and thus is the largest circle

Expansion : [tex](x+1)(x+9) = x(x+9) + 1(x+9) = x^{2} +9x + x + 9[/tex]
Simplify : [tex]x^{2} +10x + 9[/tex]

Answer:

[tex]\huge\boxed{ \bf\:x^{2} + 10x + 9}[/tex]

Step-by-step explanation:

[tex](x + 1)(x+9)[/tex]

Let's expand it at first.

[tex](x + 1)(x + 9)\\= x (x + 9) + 1 (x + 9)\\= x^{2} + 9x + x + 9[/tex]

Now, simplify it.

[tex]x^{2} + x + x + 9\\= \boxed{ x^{2} + 10x + 9}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

the image is formed of a rectangle and a square

perimeter of the cabin = perimeter of rectangle + perimeter of square

= 2(l+b) + 4×side

= 2(7+5) + 4×5

= 24 + 20

perimeter of the cabin = 44 cm

Answer:

140

Step-by-step explanation:

5%/100 = 7/?

7 times 100 = 700

700 divided by 5 = 140 coins

Answer:

x = -1

x = 3

Step-by-step explanation:

[tex]\sf x^2 - 2x = 3[/tex]

Add 1 to both sides:

[tex]\sf \implies x^2 - 2x+1 = 3+1[/tex]

Factor the left side:

[tex]\sf \implies (x-1)^2 = 4[/tex]

Square root both sides:

[tex]\sf \implies x-1 = \pm2[/tex]

Therefore:

[tex]\sf \implies x-1=-2 \implies x=-1[/tex]

[tex]\sf \implies x-1=2 \implies x=3[/tex]

Answer:

70.

Step-by-step explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

[tex]a_3 = 8, a_7 = 9[/tex]

Hence:

[tex]a_7 = a_3 + (7 - 3)d[/tex]

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461

Answer:324pie cm^2

Step-by-step explanation:

1

Step-by-step explanation:

Seeing its an arithmetic sequence

T1=1......T2=2.....T3=3

To get your constant difference

T2=T1 is also equals to T3=T2

so 3-2=1 and 2-1=1

therefore the constant difference is 1

Hey there!

Option A.
23 + (4) - 4 * 2

= 23 + 4 - 4 * 2

= 27 - 4(2)

= 27 - 8

= 19

19 ≠ 32

Option B.
3 * 3 + (42) - 4

= 3 * 3 + 42 - 4

= 9 + 42 - 4

= 51 - 4

= 47

47 ≠ 32

Option C.
42 - 7 * 0

= 42 - 0

= 42

42 ≠ 32

Option D.
4 * 5 + 2 - 4 + 2

= 20 + 2 - 4 + 2

= 22 - 4 + 2

= 18 + 2

= 20

20 ≠ 32

None of them are equivalent to 32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

3.  Object C.

Step-by-step explanation:

The inertia of an object is the measure of the force required to set it in motion.  For two objects to have the same motion, the one with the greater mass will require a proportionately greater force to achieve the same motion.

Object C, with a mass of 1,250,000 grams (1,250 kg) will have the greatest inertia.

(-2)-(-5)=0

bit 2 minuses= + so:

-2+5=0

3=0

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

finish the question..............

Answer:

Part 1- Lydia

Step-by-step explanation:

The full question should be

Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?

Answer:

12

Step-by-step explanation:

collect the like terms and divide

1) Water in a plastic container, p'= 10 - 3 p

2) Water in a glass container = 27 quarts

Water in a plastic container = 1 quarts

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.

Now,

Let j represents water in one glass jag while p' represents the water in one plastic container,

Hence, According to the question,

⇒ j - p' = 6p+8 --------(1)

And, 2j+2p'=56p --------(2)

2 × equation (1)

⇒ 2 j - 2 p' = 12p + 16 ---------(3)

Equation (2) + equation (3)

We get, 4 j = 12 p + 72

⇒ j = 3 p + 18

Putting this value in equation (1),

We get, 3p+18-p'=6p+8

p' = -3p + 10 = 10 - 3p

Thus, water in a plastic container, p'= 10 - 3 p

b) If p=3

Water in a glass container = 3 × 3 + 18 = 27 quarts

Water in a plastic container = 10 - 3 × 3 = 1 quarts

Learn more about the mathematical expression visit:

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Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation:

Each goal gets 2 points and each assist gets 1 point

If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g

If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a

The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)

We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)

So the two equations are g + a = 24. 2 g + a = 42.

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation

trust

Answer:

22 in.

Step-by-step explanation:

total volume= big thingy + long thingy

=>x=2.2.3+5.2=12+10=22

Answer:

find the ratio of 15 min and 1hiyr

Answer:

39364.

Step-by-step explanation:

I guess its an = 4*(3)^(n-1)

r = 3, a1 = 4 and n = 9

Sum of n terms = a1 * (r^n - 1) / (r - 1)

so S9 = 4 *(3^9 - 1) / (3 - 1)

= 4 * (19683  - 1) / 2

= 78728/2

= 39364.

Answer:

6.3 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!!

3^2 + b^2 = 7^2

9 + b^2 = 49

Now we subtract!!

49 - 9 = b^2

40 = b^2

Now we need to find the square root!!

[tex]\sqrt{40}[/tex] = 6.3

Have an amazing day!!

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There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

If you want to learn more about the sine function, you can read:

https://brainly.com/question/9565966

Answer:

"a linear function has the form y = mx + b. "

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 500(1 - 0.08)^t[/tex]

[tex]A(t) = 500(0.92)^t[/tex]

At the 13th day, the mass is given by:

[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936