In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

Answer:

a) 11,129

b) 2,625,966

I think that the answer

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

Answer:

11

Step-by-step explanation:

55/11=5

Answer:

the third one

Step-by-step explanation:   6  22  22  24

the quotient is 86.6666666   the repeating 6 is sometimes written with a bar above the .6  like

86.6   except the bar is on top of the second 6

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)

The answer for the following question is 12i.

Answer:

t + u = 10 + 2i

Step-by-step explanation:

t + u

= 4 + 6 + 2i ← collect like terms

= 10 + 2i

Answer:

7.5 grams

Step-by-step explanation:

The percent of gum Arabic is 100 -30 -40 = 30 %

30%  of 25 g =

.30 * 25

7.5 grams

Answer:

[tex]7.5gm[/tex]

Step-by-step explanation:

Solution:

[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

Answer:

Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex]   is not the easiest equation to solve, and that

the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational

using the "rule-of-thumb" "empirical rule" is typically "close enough"

given that the whole probability analysis by definition has some uncertainty in it

Step-by-step explanation:

The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.

The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:

In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.

In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.

Read more on normal distribution here: https://brainly.com/question/4637344

#SPJ6

Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

[tex]\frac{3}{5} ( 15x + 30 )[/tex]

9x + 18

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

[tex]13x+4y+12[/tex]

Step-by-step explanation:

Combine all the like terms & then solve:

[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]

[tex]13x+4y+12[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]

Combining like terms, we have

= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]

= [tex] \: 13x + 4y + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

Answer:

Not a solution

Step-by-step explanation:

In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:

[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]

[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]

[tex]-32-40\stackrel{?}{=}0[/tex]

[tex]-72\neq0[/tex]

Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

Answer:

the answer is c you will thank us later

Answer:

Co-efficients

Step-by-step explanation:

there is a number and variable.

Answer:

v = lhw

Step-by-step explanation:

[tex]\frac{v}{lh} = w[/tex]

v = lhw

<EAD (2nd option)

The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.

Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps