Question 8 - Find the mean

Answer:

A = x² + 22x + 120

Step-by-step explanation:

Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.

The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.

Expanding the brackets, we have

A = 10 × 12 + 10x + 12x + x²

collecting like terms, we have

A = 120 + 22x + x²

A = x² + 22x + 120

Answer:

y-intercept: [tex](0,5)[/tex]

x-intercept: [tex](5/2,0)[/tex]

Answer:

x-intercept = (5/2, 0)

y-intercept = (0,5)

Step-by-step explanation:

The GCF of these numbers is 3 i did found it by prime Factorization 12 prime Factorization is 3x2x2 and for 12 is 3x3x3 so 3 it is the same of both so us it and bye have a good day

Answer:

Since u got this answer could u mark me and thank you

Step-by-step explanation:

Answer:

Lucas scored approximately 2.25  or 2 1/4 goals per game.

Step-by-step explanation:

To find out just divide 9 to 4. Hope this helps :)

Lucas scored points at an average 2.25 per game.

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Lucas scored 9 goals in 4 soccer games last season.

Average per game = total goals / total game.

= 9/4

= 2.25

Therefore, the average is 2.25 per game.

To learn more about the average;

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Answer:

Step-by-step explanation:

The perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Answer:

The first method

Take a square root, then multiply it by 4.

The defining characteristic of a square is that its length is equal to its width. Take a look below:

Self-created

So, for this particular square, the area is length⋅width, or x⋅x=x2. Now, how can you go from this to perimeter?

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x.

Therefore, if given an area, all you'd do is take the square root (to get from x2 to x, and then multiply by 4 to find perimeter.

The second method

s=√A

P=4×s

Explanation:

To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.

If you know the area, find the square root of it to find the side.

s2=A

∴s=√A

Now you multiply by 4

For example, if the area is 36cm2

A=36

s=√36=6

P=4×6=24

Step-by-step explanation:

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Answer:

B) [tex]2\sqrt{21}[/tex]

Step-by-step explanation:

[tex]\sqrt{14} *\sqrt{6} =\\\sqrt{84} \\2\sqrt{21}[/tex]

Answer:

I got it correct and this is the right answer:

The roots of the given quadratic equation are (- 11 ± √145)/4. Therefore, m = - 11, n = 145, and p = 4.

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

The given quadratic equation is:

x(- 2x - 11) = - 3

⇒ - 2x² - 11x = - 3

⇒ 2x² + 11x = 3

⇒ 2x² + 11x - 3 = 0

⇒ x = [- 11 ± {√(11²) - 4×2×(- 3)}]/(2 × 2)

⇒ x = [- 11 ± {√121 + 24}]/4

⇒ x = (- 11 ± √145)/4

Therefore, for the given quadratic equation, m = - 11, n = 145, and p = 4.

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Answer:

Use photo math, it will explain everything

Answer:

Step-by-step explanation:

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

y - 2 = 1/2x + 1

y = 1/2x + 3

The missing statement which is statement 6 is; △AMB ≅ △CMB and ≅ △CMD ≅ △AMD

We have been given several statements and reasons in the given two column proof to prove that ABCD is a rhombus.

Now, the only missing parameter is statement 6 which has its' reason as SAS congruency theorem.

From all the reasons and statements given before statement 6, we can arrive at the conclusion that;△AMB ≅ △CMB and ≅ △CMD ≅ △AMD

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Answer:

B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD

Step-by-step explanation:

edg

Answer:

6y^2+43

Step-by-step explanation:

6y^2+(19+15)

Answer:

(2y+3)(3y+5)

Step-by-step explanation:

6y^2+19y+15

Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.

a+b=19

ab=6×15=90

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.

1,90

2,45

3,30

5,18

6,15

9,10

Calculate the sum for each pair.

1+90=91

2+45=47

3+30=33

5+18=23

6+15=21

9+10=19

The solution is the pair that gives sum 19.

a=9

b=10

Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).

(6y^2+9y)+(10y+15)

Factor out 3y in the first and 5 in the second group.

3y(2y+3)+5(2y+3)

Factor out common term 2y+3 by using distributive property.

(2y+3)(3y+5)

Answer:

Search it

Step-by-step explanation:

Duh............................................................

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since,

y-y1 = m(x-x1)

hence the option B.) is correct.

====> y-3 = 6 (x+8)

Answer:

5 inches

Step-by-step explanation:

Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.

The least possible answer would be 5 inches.

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

Answer: The answer is A I am 100% sure

Step-by-step explanation:

Complete Question:

Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the base and height of Jerry’s rhombus. Compare the area of Charlene’s rhombus to the area of Jerry’s rhombus.

Answer:

Charlene's rhombus has a larger area

Step-by-step explanation:

Given

Jerry's

[tex]Base = 15in[/tex]

[tex]Height = 9in[/tex]

Charlene's

[tex]Base = Height = 13in[/tex]

Required

Compare both areas

The area of rhombus is:

[tex]Area = Base * Height[/tex]

For Jerry's

[tex]Area = 15in * 9in[/tex]

[tex]Area = 135in^2[/tex]

Charlene's

[tex]Area = 13in * 13in[/tex]

[tex]Area = 169in^2[/tex]

By comparison: Charlene's rhombus has a larger area by 34in^2

Answer:

I THINK THE ANSWER IS 1/9 WHICH IS THE 2ND ANSWER.

Step-by-step explanation:

I DONT HAVE AN EXPLANATION BUT I DO KNOW ITS ACCURATE

Answer:

mode; 8

mean; 5

median; 8

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

Answer:

Step-by-step explanation:

its D. 3(x)-3(9)

Answer:

I think its D

Step-by-step explanation:

Srry if this is wrong

Have a nice day!!!!

（*^_^*）

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get the time taken to fill the tap

Let us have the rate per hour

A fills in 6 hours; so the fraction filled in an hour is 1/6

B fills in 8 hours, so the fraction filled in an hour is 1/8

C empties in 10 hours, so the fraction removed per hour is 1/10

So factoring the supply and removal, where removal is on a negative basis

we have it that in an hour, the fraction retained is;

1/6 + 1/8 - 1/10

= (20 + 15 - 12)/120

= 23/120

So this is the fraction retained per hour

The number of hours it will take to have a whole is simply the reciprocal of this fraction

That would simply be 120/23 = 5 5/23

5 hours and 5 minutes

Answer:

8

Step-by-step explanation:

Answer:

35% = 0.35

56 times 0.35 = 19.6

Answer is 19.6

Step-by-step explanation:

Answer:

19.6

Step-by-step explanation:

35% = 0.35

56 times 0.35 = 19.6

Answer is 19.6

Answer:

Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct

Step-by-step explanation:

The proportion from the sample of people from his party that support the law = 70%

The number the members of the politicians political party that support the law = 550 people

The proportion from the sample of people from the other party that support the law = 65%

The number the members of the politicians political party that support the law = 420 people

The confidence level of the test = 95%

The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)

Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.

Answer:

9×10 to the power of -8

Step-by-step explanation:

Cause when we add power to the power we multiply them

For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16

Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8

So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]

Answer:

x=4

Step-by-step explanation:

Power of the Point Theorem:

x*3=6*2

3x=12

x=4