what is the mean of 6,5,4,5,8,2

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]

Total charge on day 2 = 771 $ =  [tex]20\times x+12\times y+17\times z[/tex]

Now we have 3 equations : x+ y+z =45

[tex]15\times x+8\times y+12\times z=558[/tex]

[tex]20\times x+12\times y+17\times z=771[/tex]

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

Answer:

234 square inches

Step-by-step explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

9514 1404 393

Answer:

Step-by-step explanation:

The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.

  x^2 +(y^2 -6y) = -1

  x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square

  x^2 +(y -3)^2 = 8 . . . . standard form equation

__

Comparing the above equation to the form:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r

we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.

The center point is (0, 3); the radius is 2√2.

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

[tex]f(-4) = 64[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,1)[/tex]

Required

Find f(-4)

We have that:

[tex]y = ab^x[/tex]

For [tex](x_1,y_1) = (1,2)[/tex]

[tex]2 = ab^1[/tex]

[tex]2 = ab[/tex]

For [tex](x_2,y_2) = (2,1)[/tex]

[tex]1 = ab^2[/tex]

Rewrite as:

[tex]1 = ab * b[/tex]

Make b the subject

[tex]b = \frac{1}{ab}[/tex]

Substitute: [tex]2 = ab[/tex]

[tex]b = \frac{1}{2}[/tex]

Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]

[tex]2 = a * \frac{1}{2}[/tex]

[tex]a = 2 * 2[/tex]

[tex]a = 4[/tex]

To calculate f(-4), we have:

[tex]f(x) = ab^x[/tex]

[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]

[tex]f(-4) = 4 * 16[/tex]

[tex]f(-4) = 64[/tex]

Answer:

D

Step-by-step explanation:

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer:

$125,000

Step-by-step explanation:

In 30 years, Abigail earned the following amount more than Justine:

$4,800,000 - $1,050,000 = $3,750,000

Per year, the difference is

$3,750,000/30 = $125,000

Answer: $125,000

Solution :

According to the question, let

A : winning first scholarship

B : winning second scholarship

So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.

Therefore,

[tex]$P(A)=\frac{2}{5}$[/tex]   and    [tex]$P(B)=\frac{1}{5}$[/tex]

1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]

                      [tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]

                      [tex]$=\frac{2}{25}$[/tex]                

2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]

                   [tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]

                   [tex]$=\frac{13}{25}$[/tex]

3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.

Answer:the width is 3 feet

Step-by-step explanation:

Answer:

(3,2)

Step-by-step explanation:

...................

Answer:

18lbs of Mexican Shade Grown coffee

Step-by-step explanation:

Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...

90lbs Gazebo  <=====>   27lbs Mexican Blend

60lbs Gazebo  <=====>   x lbs Mexican Blend

(60 * 27) / 90 = x

1620 / 90 = x

18 lbs = x

We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

The solution is the point where the lines cross. So (-1, -2)

Answer: 69.09% is the percentage. 0.6909 is the decimal

Step-by-step explanation:

hope this helps! you don't have to but maybe mark as brainliest?

Answer

B

Step-by-step explanation:

5*5*6=150

Answer:

150

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

count the frequencies so to get your answer. It is 25.

if it helps don't forget to like and mark me down

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 x .2 = 30

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

[tex]y^{2}=6*(6+2)\\\\y^{2}=48\\\\4\sqrt{3}[/tex]

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

Answer:

B. 20

Step-by-step explanation:

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

20 = x

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2