MATHEMATICS HIGH SCHOOL

How is the interquartile range calculated?A. Find the difference between the values for quartile 3 and quartile 1.
B. Find the difference between the values for the maximum and minimum.
C. Find the difference between the values for quartile 2 and quartile 1.
D. Find the difference between the values for the maximum and median.

Answers

Answer 1

Answer: It is the difference between the third and the first quartile

Answer 2

Answer:

Answer:

find the difference between the values for quartile 3 and quartile 1

Step-by-step explanation:

Just got it right on APEX

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What units could you use to measure the height of a hexagonal prism?cm
cm 2
cm 3
cm 4

Answers

Answer: A. cm

Step-by-step explanation: The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism. We can also use the other formula V = 3abh, where a = apothem length, b = length of a side of the base, and h = height of the prism.

no aswer for that question

Are the following functions linear or nonlinear? Drag the tiles to complete the statements.Tiles may be used once, more than once, or not at all.
Function B
Function A
6 9 12
10 15 20
x 3
y 5
15
y
A
25
9
8
7
6
5
4
3
2.
1
0
0 1 2 3 4
5
6 7
8 9

Answers

Answer:

Nonlinear

Step-by-step explanation:

Solve the following linear equation.

6(x + 2) = 30 x

Answers

Answer:

x=1/2

Step-by-step explanation:

6(x + 2) = 30x
6x + 12 = 30x
Subtract 6x from both sides
6x - 6x + 12 = 30x - 12
12 = 18x
Divide 18 from both sides
12/18 = 18x/18
12/18 = x

Which equation represents a line that is perpendicular to the line whose equation is y = 4x + 12?y = 4x + 4
y = -4x + 7
y = (-1/4x) + 1
y = (1/4x) + 9

Answers

Hello,
slope perpendicular of 4 is -1/4

Answer C

DIFFERENTIAL EQUATIONS
Solve the differential equations.
dy = 4 − x
/
dx

Answers

anti derivative of 4 is 4x
anti derivative of -x is -1/2 x^2

so y = 4x - (1/2)x^2 + C
(can't forget constants when doing anti derivatives xD)

is this what you need?

*edit
Anti-derivative of a Constant [just a number] becomes (constant)*x
for example integral of 5 = 5x + C

Then there is a Power Rule for integrals
integral of (x)^n = 1/(n+1) *(x)^(n+1) + C
for example: integral of x^2 = 1/(2+1) * (x)^(2+1) + C = (1/3)*x^3 + C

We have dy/dx = (4-x) dx which is a first order linear ODE

dy = (4-x) dx. Now integrating both sides we get:

y = 4x - 1/2 x^2 + C

which is the answer. Note we only wrote +c once since we can combine arbitrary constants under addition and subtraction with each other.

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 7.5?A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.

Perimeter = 58 cm, area = 209.25 cm2

Perimeter = 58 cm, area = 2,700 cm2

Perimeter = 210 cm, area = 2,700 cm2

Perimeter = 210 cm, area = 209.25 cm2

Answers

Answer with Step-by-step explanation:

The perimeter(P) and area(A) of a rectangle is given by:

P=2(l+w)

A=lw

Where l is the length and w is is the width of the rectangle

original length and width

l=8 cm

w=6 cm

New length and width

l'=8×7.5=60 cm

w'=6×7.5=45 cm

P=2(60+45)

=210 cm

Area=60×45

=2700 cm²

Hence, Correct option is:

Perimeter = 210 cm, Area = 2,700 cm²

enlarged by a scale factor of x means times each dimention by x

P=2(L+W)
A=LW

original L and W
L=8cm
W=6cm

new
nL=8*7.5=60cm
nW=6*7.5=45cm

newP=2(60+45)=2(105)=210cm
newA=(60)(45)=2700cm^2

3rd from top is answer

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