Find the interquartile range (IQR) of the data in the dot plot below

Answer:

[tex]y\leq 4[/tex]

Step-by-step explanation:

The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.

Hope this helps :)

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

Answer:

a:  11:7

b: 11:

I hope this helped :)

Answer:

b

Step-by-step explanation:

Answer:

2a+4=14

2a=14-4

2a=10

a=10/2

a=5

have a nice day

#Captainpower

Answer:

hi

Step-by-step explanation:

2a+4=14

2a=14-4

2a=10

a=10/2

a=5

have a nice day

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

1 banana, 1 cup flour, 2/3 cup sugar

Step-by-step explanation:

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Answer:

24

Step-by-step explanation:

so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o

Answer:

33b-8 is the perimeter

Step-by-step explanation:

Triangle is an Isosceles triangle so two side is equal

2(12b - 8) + 9b + 8

Distribute

24b - 16 + 9b + 8

Combine like terms

33b -8

Answer:

To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this is (4x^2)^3 + 3^3

Answer:

hyperbola

Step-by-step explanation:

Sana makatulong

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Given:

The line passes through the points (2,0) and (4,3).

To find:

The point-slope form of the given line.

Solution:

The point slop form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.

The line passes through the points (2,0) and (4,3). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-0}{4-2}[/tex]

[tex]m=\dfrac{3}{2}[/tex]

The slope of the line is [tex]m=\dfrac{3}{2}[/tex] and the point is (4,3). So, the point slope form of the given graphed line is:

[tex]y-3=\dfrac{3}{2}(x-4)[/tex]

Therefore, the point slope form of the given line is [tex]y-3=\dfrac{3}{2}(x-4)[/tex].

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.

Answer:

not similar

Step-by-step explanation:

Step-by-step explanation:

height= 4b

length = 2 + b

volume = 60in³

or, l ×b × h = 60in³

or, (2+b) × b × 4b = 60in³

or, 4b²(2+b) = 60in³

or, 8b² + 4b³ = 60

or, 2b² + b³ = 15

or, b³ + 2b² -15= 0

b= 1.95

l= 2+1.95=3.95

h= 4×1.95 = 7.8

Step-by-step explanation:

[tex]y = -\frac{2}{3}x + 4[/tex]

[tex]y = \frac{1}{3}x - 2[/tex]

Since both equations are set equal to [tex]y[/tex], we can take the right-hand side of each equation and set them equal to each other to solve for [tex]x[/tex]:

[tex]-\frac{2}{3}x + 4 = \frac{1}{3}x - 2[/tex]

[tex]-\frac{2}{3}x - \frac{1}{3}x = -2 - 4[/tex]

[tex]-x = -6[/tex]

[tex]x = 6[/tex]

Now we can plug this value into either equation to solve for [tex]y[/tex]:

[tex]y = \frac{1}{3}x - 2[/tex]

[tex]y = \frac{1}{3}(6) - 2[/tex]

[tex]y = 2 - 2[/tex]

[tex]y = 0[/tex]

So the solution to the system of equations is [tex](6, 0)[/tex]

Answer: 1625

Step-by-step explanation: So if you want to make 13 of one recipe it said that in 1 recipe there's 125 cups of sugar so you need to multiply 123 by 13 so do this 125 x 13 = 1625 and then there, you have your answer 1,625 cups of sugar for 13 things of the recipe.

Answer:

c

Step-by-step explanation:

edg 21 ^u^

Answer:

The person above me is correct. :D

Step-by-step explanation:

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

#SPJ2

Answer:

14.4 in

Step-by-step explanation:

25 in is the longer leg so you have to do [tex]\frac{25}{\sqrt3}[/tex]

Answer:

14.4 on edge 2021

Step-by-step explanation:

Answer:

a)  f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

    g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

    f and g are inverses

b)   f(g(x)) = x + 3 + 3 = x + 6

     g(f(x)) = x + 3 + 3 = x + 6

     f and g are not inverses

Step-by-step explanation:

a)

f(g(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

g(f(x)) = [tex]\frac{1}{2(\frac{1}{2x} )}[/tex] = [tex]\frac{1}{\frac{1}{x} } }[/tex] = x

Since f(g(x)) = g(f(x)) = x, then f and g are inverses

b)

f(g(x)) = x + 3 + 3 = x + 6

g(f(x)) = x + 3 + 3 = x + 6

Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses

Answer: 27 times. 1/3 litres is 9 litres

Step-by-step: divide 9 by 1/3 litres , 9:(1/3) = 9·3