Work out the mean for the data set below:
403, 404
Give your answer as a decimal.

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25

Answer:

D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

Because in geometry the incenter of a triangle is deliberated as the center of a triangle.

Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

Answer:

[tex](36 \div 4) + 8[/tex]

[tex]9 + 8[/tex]

[tex]17[/tex]

Answer: 17

Step-by-step explanation:

36/4 = 9

9 + 8 = 17

Answer:

one

Step-by-step explanation:

If two lines are not parallel, they will intersect one time as shown by the graph given.

Where the two graphs intersect is the solution to the system.

Answer:

6, 5, 4

Step-by-step explanation:

Midpoint is exactly half so it would be half the value of triangle ABC's value

12/2=6

10/2=5

8/2=4

Answer:

[tex]g(x)=x^2+6[/tex]

Step-by-step explanation:

Hi there!

We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.

This means that [tex]g(x)=f(x)+6[/tex].

[tex]g(x)=f(x)+6[/tex]

Rewrite the equation

[tex]g(x)=x^2+6[/tex]

This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.

I hope this helps!

Answer:

EX = 51

Step-by-step explanation:

The 3 intersecting lines in the triangle are medians.

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is

EJ = 2 JX = 2 × 17 = 34 , then

EX = EJ + JX = 34 + 17 = 51

1st one = Arithmetic (A)

2nd = neither

3rd = Geometric (G)

4th = A

5th = G

Answer:

x = 8

x = -10

Step-by-step explanation:

Answer:

[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]

Step-by-step explanation:

First we use constraints given by the problem to set up two equations:

We can only have a total of 19 bags, so:

[tex]19 = s + p[/tex]

Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:

[tex]121 = 7s + 10p[/tex]

Answer:

Step-by-step explanation:

Let the sugar from 7 pound bags be represented by = s

And let the sugar from 10 pound bags be represented by = p

As given, Captain Liz has room for 19 bags of sugar.

This becomes [tex]s+p=19[/tex]      .......(1)

Also given is , she has room for 19 bags of sugar, so equation becomes:

[tex]7s+10p=121[/tex]     ............(2)

Hence, these are the correct equations.

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

Answer:

7.2

Step-by-step explanation:

5y = 5 *7.2 = 36

36 ÷ 6 = 6

So, y = 7.2

Answer:

y = 4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in and solve for b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 =b

y = 4x-1

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

3 = 4(1) + b

3 = 4 + b

b = -1

y = 4x - 1

Answer:

Step-by-step explanation:

Comparing the triangles in the given questions, the following can be deduced:

5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]

So that;

QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.

Thus, the triangles are NOT similar.

6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]

                         = 1.5

So that;

QR is similar to UT, PR is similar to US, but PQ is similar to TS.

Thus, the triangles are similar by Side-Side-Side (SSS).

7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.

Answer:

Step-by-step explanation:

Answer:

a) 10 blue balls, b) 5/18

Step-by-step explanation:

a)

R=3, G=5, B=x (unknown)

probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18

3+5 = 8 so B=18-8 -> B=10

b) total is 18 and G=5 so green probability = 5/18

Answer:

=51.63 m^2

Step-by-step explanation:

First find the area of the triangle

A = 1/2 bh = 1/2(3) * 5 = 7.5

Then find the area of the rectangle

A = l*w = 5*6 = 30

Then find the area of the semi circle, which is 1/2 the area of the circle

The diameter is 6 so the radius is 3

A = 1/2  pi r^2 = 1/2 (3.14) (3) ^2 = 14.13

Add the areas together for the total area

7.5+30+14.13

=51.63

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600

2100 cm

104m = 10400 cm

10400, 9600, 2100

104m, 0.096km, 2100cm

Answered by Gauthmath

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600cm

2100cm

104m = 10400cm

10400, 9600, 2100

104m, 0.096km, 2100cm

Answer:

You can buy 40 tacos

You have enough money

Step-by-step explanation:

Given

[tex]Amount = \$20[/tex]

[tex]Taco = 20[/tex]

[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question

Required

Determine if you have enough amount

The number of Tacos that $20 can afford is calculated as:

[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]

So, we have:

[tex]Tacos = \frac{20}{0.50}[/tex]

[tex]Tacos = 40[/tex]

[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students

Hence, you have enough money

1) 8

2) 6(5x+2y) factor out greatest common factor

3) 10.8 just move over decimal two places to the left.

4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

Answer:

Option D

Step-by-step explanation:

Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

Step-by-step explanation:

None of the options are written as standard except option D.

Answer:

D. y = 6x

Step-by-step explanation:

Edge 2022

Answer:

y^{n+4}

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]

Answer:

pls use calculater

Step-by-step explanation:

because i also dont know now what shall i do so its a good suggestion for you i hope

Answer:

Congruent

Vertical

Step-by-step explanation:

E and G are vertical angles and vertical angles are equal

They are congruent because they are vertical