Which angle is an acute angle?

A. APE

B. CPB

C. APC

D. CPE

Answer:

[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]

Step-by-step explanation:

Given :-

And we need to find out the Dividend. We know that ,

[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]

Substituting the respective values :-

[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

Todd's IQR- 3

The solution is, ordering the IQR in descending order :

Emma, Sally, Olivia

The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.

here, we have,

Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;

Writing out each score on the dot plot to calculate the statistical values :

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (5th + 6th) terms

Q1 = (9 + 9) / 2 = 9

Q3 = 3/4(n+)th term

Q3 = (12 + 13) ÷ 2 = 12.5

IQR = Q3 - Q1

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 3/4(n+1)th term

Q3 = (10 + 11) ÷ 2 = 10.5

IQR = Q3 - Q1

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

Q1 = 1/4(n+1)th term

Q1 = (7 + 8) ÷ 2 = 7.5

Q3 = 1/4(n+1)th term

Q3 = (10 + 10) ÷ 2 = 10

IQR = Q3 - Q1

IQR = 10 - 7.5 = 2.5

Therefore, ordering the IQR in descending order :

Emma, Sally, Olivia

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complete question:

Drag each tile to the correct box.

Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.

Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.

41x - 164 = 271

x = 35

Answer:

x= 35

Step-by-step explanation:

1271 + 164 = 1435

1435/41 = 35

Answer:

5x^2 + xy + 20

Step-by-step explanation:

Begin with 5x^2+3xy+12,  Subtracting 2xy yields 5x^2 + xy + 12.  Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or   5x^2 + xy + 20

5x + 3y = 6

Answer's too short so here's some extra text.

Answer:

bell-shaped curve

Step-by-step explanation:

A density curve is scaled so that the area under the curve is 1

Answer:

I'm pretty sure it's $5.00.

the awnser is 799 by 983

Step-by-step explanation:

Answer:

I think that it is C. hope this is correct

Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

Answer:

======> Jazmine

Answer:

1:1

Step-by-step explanation:

The ratio would be 1:1 since it's a square, the sides will always be the same. In a square ,all sides are the same length. If they are not, then it wouldn't be a square.

Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

Answer:

[tex]A=21[/tex]

Step-by-step explanation:

From the question we are told that:

Co-ordinates

[tex]A(1,0), B(7.0)\ and\ C(1,6)[/tex]

Hence Plotting the Cartesian plane we have

Base [tex]b=7[/tex]

Height [tex]h=6[/tex]

Generally the equation for The Area of a Triangle  is mathematically given by

 [tex]A=\frac{1}{2}b*h[/tex]

 [tex]A=\frac{1}{2}*7*6[/tex]

 [tex]A=3.5*6[/tex]

 [tex]A=21[/tex]

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

Answer:

c g(x)=2x^2

Step-by-step explanation:

hi

Answer:

D.

Step-by-step explanation:

4 x (26 + 72) is 4 time more than the expression of 26 + 72

Answer:

Step-by-step explanation:

The solution is Option C.

The section on the graph which represents the equation at which Calvin spends his time at friend's house is section S

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Let the total time spend by Calvin at school = 7 hours

Let the total time spend by Calvin at friend's house = 1 hour

Let the total time spend by Calvin at a store = 30 minutes

From the graph , we can see that

The section Q represents the line from x = 1 to x = 8 which means a total time of 7 hours is spend by Calvin at school

And , section S represents the line from x = 9 to x = 10 which means a total time of 1 hour is spend by Calvin at friend's house

And , section U represents the line from x = 10.5 to x = 11 which means a total time of 30 minutes is spend by Calvin at a store

Hence , the solution is section S of on the graph

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Hi there!

f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.

Answer:

Step-by-step explanation:

if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum

Answer:

1 /2

Step-by-step explanation:

The theoretical probability is the possibility of an event occurring based on reasoning and not on the outcome of a trial or experiment. Hence, for the question above, the outcome of the tosses or trials would have no effect on the theoretical probability that a coin lands oon head or tail.

Theoretical probability of an event =

Favorable outcome / Total possible outcomes

Favorable outcomes = number of heads in a coin = 1

Total possible outcomes = number of faces on a coin = 2 (head and tail)

Therefore,

Theoretical probability of landing on head = 1 /2

Answer:

[tex] 88 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

[tex] = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} [/tex]

Answer: Median: 10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

Answer:

10m^3+10m^2+100m these is the answer to your question

Answer:

are you asking to convert to fractions and decimals?

1. .05 1/20

2..17 or 17/100

3. 7/2