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Answers

Answer 1

Answer:

Mean: The sum of all data values divided by the total number of data values.

Median: The middle value when all data values are placed in order of size. If there is an even number of data values, the median is the mean of the middle two values.

Mode: The most frequently occurring data value.

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Question 3

[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]

Ordered data values: 69, 70, 71, 73, 74, 75, 76, 76, 76, 86

Median = (74 + 75) / 2 = 74.5

Mode = 76

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Question 4

[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]

Ordered data values: 3, 5, 5, 5, 6, 6, 7, 8, 8

Median = 6

Mode = 5

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Question 5

[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]

Ordered data values: 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23

Median = 15

Mode = 12, 13, 14, 16

Answer 2

Answer:

see explanation

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.

the mode is the value that occurs most often in the data set

A data set can have more than 1 mode

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(3)

(a)

mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6

(b)

Arrange the data in ascending order

69 70 71 73 74 75 76 76 76 86

↑ middle

median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5

(c)

mode = 76

(4)

(a)

mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )

(b)

3 5 5 5 6 6 7 8 8

↑ middle

median = 6

(c)

mode = 5

(5)

(a)

mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex] ≈ 15.5 ( to 1 dp )

(b)

11 12 12 13 13 14 14 15 16 16 17 18 19 20 23

↑ middle

median = 15

(c)

the mode is multimodal

modes are 12, 13, 14, 16

Related Questions

A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why?

Answers

Answer:

This is correct because linear equations have to be in slope-int form

Step-by-step explanation:

Verify whether x ≤ 3 is the solution to the inequality 7x ≥ 20x - 39.

Answers

Answer:

Yes, it is correct.

Step-by-step explanation:

7x≥20x-39

39≥13x

x≤39/13

x≤3

A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production

Answers

Answer:

Step-by-step explanation:

It makes the most sense

Does anybody understand this? QSRT is a Rectangle and SQR=55

Answers

Answer:

90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

Equivalent fractions for 6/11 and 5/12 using the common denominator

Answers

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

Solve for x.
X=
x +19 7x +9

Answers

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

stuck on these two questions.. finding the indicated limit

Answers

Answer:

1: The limit doesn't exist

Step-by-step explanation:

Question 1:

f(x) = x + 10 for when x approaches 8

18 = 8 + 10 which is NOT true x < 8 18 < 8

f(x) = 10 - x for when x approaches 8

2 = 10 - 8 which is NOT true x ≥ 8 2 ≥ 8

Question 2:

f(x) = 5 - x for when x approaches 5

0 = 5 - 5 which is TRUE x < 5 0 < 5

f(x) = 8 for when x approaches 5

which is NOT x = 5 8 = 5

f(x) = x + 3 for when x approaches 5

8 = 5 + 3 which is TRUE x > 5 8 > 5

i can not figure this question out someone help pls.

Answers

Answer:

228,5

Step-by-step explanation:

a=10

b=15

The area of rectangle:

S=a*b

S=10*15

S=150

The area of 2 halfcircles (1 circle):

d=10

r=d:2

r=5

S=πr²

S=3,14*5²

S=3,14*25

S=78,5

The area of the figure:

78,5+150=228,5

6 erasers cost $6.60.
Which equation would help determine the cost of 3
erasers?

Answers

Answer:

answer is a

Step-by-step explanation:

u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30

Kyle is considering a 7/1 ARM. What does 7 represent?

Answers

Answer:

The number of years the fixed interest rate will be applied to the loan

Step-by-step explanation:

I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)

the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle

Answers

Step-by-step explanation:

here's the answer.......

Does anybody know this? Find the value of y and z

Answers

Answer:

z = 70 (Since it is a straight angle)

y = 110 (y = 180 - z)

The area of a DVD is 36π cm. What is the diameter of the DVD?

Answers

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

What is the correlation between variables?

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values of the other will decrease.

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I need help pleaseeeeee I do not know what to do here

Answers

Answer:

[tex]A = 256[/tex]

Step-by-step explanation:

Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:

[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]

Now that we have the side length, we can find the area of the square:

[tex]A = l^2\\A = 16^2\\A = 256[/tex]

Answer:

256 in²

Step-by-step explanation:

Area of a Hexagon (To find side length)

A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 in

Area of square

Area = (Side length)²Area = (16)²Area = 256 in²

There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?

Answers

The probability of picking a blue counter from the bag is 1 / 13.

What is the probability?

The number of counters initially in the bag:

white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10

The number of counters now in the bag:

white counters = 11pink counters = (5 + x) / 26 = 1/2

13/26

x = 13 - 5 = 8

blue counters = 26 - 13 - 11 = 2

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

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You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)

Answers

The length of the fence which needs to be put around the pool will be 26 feet.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

More about the rectangle link is given below.

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The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal

Answers

Answer:

That would be 0.6 that means 60 percent.

Answer:

Probability of not spinning an even number is 0.6

Step-by-step explanation:

Total probability is 100 since it represented by %.

Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply

100% - 40% = 60%

Expressing 60% as a decimal gives us 0.6

PLEASE HELP !!!!!!!!

Answers

Answer:Angle BCE

Step-by-step explanation:

look across from point C

Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths

Answers

This looks similar to one of my questions I’ll be back if I find the answer

Answer:

Step-by-step explanation:

What is the solution to the equation

m - 8 = 12

Answers

Answer:

m= 20

Step-by-step explanation:

add 8 to both sides,

12+8=20

Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?

Answers

Answer:

45. 20

46. 30

47. 60

Step-by-step explanation:

Let :

Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3x

Solving

x + 1.5x + 3x = 1105.5x = 110x = 20

Solution

Badia = 20Charli = 30Siva = 60

Answer:

Badia made 20 nails

Charli made 30 nails

Siva made 60 nails

Step-by-step explanation:

Let b = number of nails Badia made

Let c = number of nails Charli made

Let s = number of nails Siva made

Given:

Charli made one and half times as many as Badia

⇒ Equation 1: c = 1.5b

Given:

Siva made twice as many as Charli

⇒ Equation 2: s = 2c

Given:

They all made a total of 110 nails

⇒ Equation 3: b + c + s = 110

Substitute Equation 1 into Equation 2:

⇒ s = 2(1.5b) = 3b

Substitute s = 3b and Equation 1 into Equation 3 and solve for b:

⇒ b + c + s = 110

⇒ b + 1.5b + 3b = 110

⇒ 5.5b = 110

⇒ b = 20

Substitute found value of b into Equation 1 and solve for c:

⇒ c = 1.5b

⇒ c = 1.5(20)

⇒ c = 30

Substitute found value of c into Equation 2 and solve for s:

⇒ s = 2c

⇒ s = 2(30)

⇒ s = 60

Therefore:

Badia made 20 nailsCharli made 30 nailsSiva made 60 nails

Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7

Answers

Answer:

(B) -6x + 4y = 11

Step-by-step explanation:

Two lines are parallel if they have the same slope

In the line equation, y = mx + b, m = slope

For y = 3/2*x - 7/4, slope = 3/2

(B) can be written as

4y = 6x +11

Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question

Using same strategies for the other lines, you will see
(A) has slope -3/2

(D) has slope -3/2

What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i

Answers

The additive inverse of the complex number -12 + 4i is 12 - 4i

How to determine the additive inverse?

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

m = slope of the line ( given in question )

[tex] \sf{y_1 = 6} [/tex]

[tex] \sf{x_1 = 9} [/tex]

Now, let's put in the values ~

[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

Answers

The displacement is 18.03 steps, and the direction is 47.25°

How to get the displacement?

We know that displacement is the difference between the final position and the initial position.

We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.

First, the student moves 8 steps east, so she is at:

(0 + 8, 0)

Then she moves 6 steps northeast, so the new position is:

(6*cos(45°) + 8, 6*cos(45°))

Finally, she moves 9 steps due north, so we have:

(6*cos(45°) + 8, 6*cos(45°) + 9)

Then the final position is:

(12.24, 13.24)

So the displacement is:

D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)

The magnitude of the displacement is:

[tex]|D| = \sqrt{12.24^2 + 13.24^2} = 18.03[/tex]

So the magnitude is 18.03 steps.

And the direction is given by the arctangent of the quotient between the y-component and the x-component:

[tex]\theta = Arctg(13.24/12.24) = 47.25 \°[/tex]

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An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?

Answers

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

integral from 0 to 5 of x^2 + 3 dx

Answers

Answer:

=170/3 or (decimal 56.67)

Step-by-step explanation:

Steps

∫⁵ x²+3dx

⁰

Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)

∫⁵ x² dx +∫⁵ 3dx

⁰ ⁰

∫⁵ x² dx=125/3

⁰

∫⁵ 3dx=15

⁰

125/3+15

=170/3

The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15

Answers

The measure of one side of the square lies between 13 and 14.

What is the measure of one side?

A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.

Area of a square = length of a side²

length of a side = √ area

√180 = 13.42

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Anyone please help meಥ‿ಥ