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create a dot plot of a sample of the population whose
mean is the same as the population mean.
your sample should have more than six, but fewer than
20 data points.
count
number
2
10
12
8
hean
10
12
8
mean
934
Answers
The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean
How to create the dot plot?The dot plot that completes the question is added as an attachment.
Start by calculating the mean of the data plot using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
Substitute the values on the dot plot
[tex]\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}[/tex]
[tex]\bar x = 7[/tex]
This means that the population mean of the dot plot is 7
Next, we create another dot plot that has the same mean as 7.
There are no direct rules to this, so we make use of the trial by error method.
After several attempts, we have the following frequency table:
Data point Frequency
2 1
3 2
4 0
5 4
6 5
7 2
8 5
9 0
10 2
12 3
The mean of the frequency table is:
[tex]\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}[/tex]
Evaluate
[tex]\bar x = \frac{168}{24}[/tex]
Evaluate the quotient
[tex]\bar x = 7[/tex]
This means that the sample mean is 7 (same as the population mean)
Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)
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Related Questions
Give the prime factorization of 28.
Answers
Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28 angle of elevation from the ground
Answers
Answer:
You should raise one side 14 inches
Step-by-step explanation:
I used a right angle triangle calculater at this sight
https://www.calculator.net/right-triangle-calculator.html
Submit the answers to the checkpoint questions in the text box with the Lesson Review.
Part A Checkpoint
Directions: Complete each of the following questions.
(PICTURE FOR THE FIRST QUESTION)
1. Indicate the kind of energy represented in each example below:
a. Burning fuel in a car
b. Exploding an atomic bomb
c. Current moving in a wire
d. Tires sliding on pavement when brakes are applied
e. Football player running for a touchdown
2. All forms of energy except nuclear fission come from the _________.
3. Energy is ______________.
Answers
its that one dudee!!!!!
find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Answers
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
Answers
solution
-4(327x-451)
A biologist started with a population of 1,000 bacteria that doubled in size every day.
Which equation and graph show the number of days, d, as a function of the population
p, in thousands?
Answers
Answer: C. [tex]p = 2^{d}[/tex]
Step-by-step explanation:
The population rises exponentially, so the graph will have to go up. It also means the population is doubled directly in relation to days
here is the histogram of a data distribution. All class widths are 1.
what is the median of the distribution?
Answers
The median of the data is 5 if the all class widths are 1, option (C) is correct.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
In the histogram, 15 data values are given:
1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9
The mid-value is 5 which is on the 8th place
Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.
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through: (-3, 4), slope
1
4
Answers
Answer:
y = (-1/4)x + (13/4)
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
Remember that in a point (-3,4) you have an "x" and "y" value. As such, you have been given values for the "x", "y", and "m" variables. Therefore, you can plug these values into the general structure to find the value of "b".
y = mx + b <---- General structure
y = (-1/4)x + b <---- Plug (-1/4) in "m"
4 = (-1/4)(-3) + b <---- Plug in values from point
4 = (13/4) + b <---- Multiply (-1/4) and -3
(13/4) = b <---- Subtract (13/4) from both sides
Now that you know the value of "m" and "b", you can determine the formula.
y = (-1/4)x + (13/4)
The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answers
Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
Answer:
about 11.7 units (Pls mark me as brainy)
Step-by-step explanation:
Find the width:
length⋅width= area
4w=44 Plug in known values.
4w/4=44/4 Divide both sides by 4
w=11
Find the diagonal:
(4)^2+(11)^2= c^2 Use the Pythagorean Theorem.
16+121= c^2 Simplify.
137=c^2 Simplify.
±√137= √c^2 Square root both sides.
11.704699...= c Simplify. Ignore the negative root, as the length must be positive.
11.7≈ c Round to the nearest tenth.
The length of the diagonal is 11.7 units.
!!!!! determine the function being differentiated, and the number at which its derivative is being evaluated. Where possible, evaluate the limits using differentiation.
Answers
Recall that the derivative of a function f(x) at a point x = c is given by
[tex]\displaystyle f'(c) = \lim_{x\to c} \frac{f(x) - f(c)}{x - c}[/tex]
By substituting h = x - c, we have the equivalent expression
[tex]\displaystyle f'(c) = \lim_{h\to0} \frac{f(c+h) - f(c)}h[/tex]
since if x approaches c, then h = x - c approaches c - c = 0.
The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.
For the first limit,
[tex]\displaystyle \lim_{h\to0} \frac{\sin\left(\frac\pi3 + h\right) - \frac{\sqrt3}2}h[/tex]
recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have
[tex](\sin(x))' = \cos(x)[/tex]
and cos(π/3) = 1/2.
For the second limit,
[tex]\displaystyle \lim_{a\to0} \frac{e^{2a} - 1}a[/tex]
we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have
[tex]\left(e^{2x}\right)' = e^{2x} (2x)' = 2e^{2x}[/tex]
and 2e⁰ = 2.
The top four teams in a local tournament move onto the playoffs. if 7 teams enter the tournament how many different
combination of teams can make it to the playoffs?
Answers
Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 students are taken from a set of 7, hence the number of combinations is given by:
[tex]C_{7,4} = \frac{7!}{4!3!} = 35[/tex]
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Find the volume of cone pictured below. Use 3.14
for T. Round your answer to the nearest
hundredth.
8 yd
8 yd
Answers
Khamisi and Harut wrote down two different functions that have the same rate of change. Khamisi's function is represented by the table shown below. x y -1 -5 1 -1 3 3 Write an equation, in slope intercept form, that could be Harut's function.
Answers
The equation of line is x+2y+3=0.
What is a equation of the line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
Given:
x:-1 -5 1
y:-1 3 3
So,
m= 3-1/-5-(-1)
m= 2/-4
m=-1/2
Now, equation of line
(y-(-1))= m (x-(-1))
y+1= -1/2(x+1)
2y+2=-x-1
x+2y+3=0
Hence, the equation of line is x+2y+3=0.
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What should be done so that the expression will have a value of 10?
12 - 2 + 2 2 ÷ 8
Answers
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!
Please only 5 and 6 that all i need help with is area
Answers
Answer:
5) 22.95
6) 21.93
Step-by-step explanation:
Area of Triangle = BxH/2
= CxH/2
Help me calculate
I think it's 35, is that right?
Answers
The value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm 2x^2y = 5\\\\\rm 3x^3y^2 = 7[/tex]
We have to find the value of [tex]\rm 6x^5y^3[/tex]
[tex]=\rm 6x^5y^3\\\\= \rm 6(x^2y)(x^3)(y^2)[/tex]
=6(5/2)(7/3)
= (5)(7)
= 35
Thus, the value of the [tex]\rm 6x^5y^3[/tex] is 35 if the value of [tex]\rm 2x^2y = 5[/tex] and [tex]\rm 3x^3y^2 = 7[/tex]
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Please help me 35 points and Brainliest if your right
Answers
Answer:
y = - 2 | x - 2 | + 4
Step-by-step explanation:
the general equation of an absolute value function is
y = a|x - h| + k
where (h, k ) are the coordinates of the vertex and a is the stretch factor
here (h, k ) = (2, 4 ) , then
y = - 2|x - 2| + 4
Answer:
See below ~
Step-by-step explanation:
Formula for absolute value function :
y = a |x - h| + k
==============================================================
Given :
⇒ a = -2
⇒ Vertex = (h, k) = (2, 4) [based on graph]
=============================================================
Solving by substitution :
⇒ y = -2|x - 2| + 4
A 6-inch personal pizza has 570 calories. Determine the number of calories in the 14-inch pizza. Round your answer to the nearest calorie.
Answers
Answer:
3103 calories
Step-by-step explanation:
We presume the number of calories is proportional to the area of the pizza. The ratio of areas is the square of the ratio of the linear dimensions, so the number calories in the larger pizza is ...
(14/6)² × 570 calories = 3103 1/3 calories
There are about 3103 calories in the 14-inch pizza.
A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 70 centimeters
Answers
Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
In this problem, we have that:
[tex]\frac{dV}{dt} = 500, r = 70[/tex]
Hence the rate of change of the radius is given as follows:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]19600\pi\frac{dr}{dt} = 500[/tex]
[tex]\frac{dr}{dt} = \frac{500}{19600\pi}[/tex]
[tex]\frac{dr}{dt} = 0.0081[/tex]
The radius is increasing at a rate of 0.0081 cm per minute.
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State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.
Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.
Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.
Answers
Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.
Transformation of functionTransformation technique is a way of changing the position of an object on an xy-plane.
Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.
The resulting graph of the translated function is as shown below
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1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answers
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
how do we solve this I need a quick answer please :)
Answers
Sorry don't no the answer
sorry if I kwon the answer
I telling u the answer
Explanation: Key word, boundary. Meaning its perimeter of the field. Find the perimeter then multiply by 3. inches
help me plss ty in advance:))
Answers
Answer:
AACBC7Step-by-step explanation:
Q1
A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.
Q2
Data plotted against the frequency in a histogram is class interval.
Q3
The data plotted against the frequency in an ogive is cumulative frequency.
Q4
A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.
Q5
Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11
Mean = 4 + 7 + 21 + 21 + 24 / 11
Mean = 77/11
The mean is 7
Q6
The median is the middle term.
The median of the distribution is 7
HUGE POINTS
PLEASE ANSWER
BE INFORMATIVE AS POSSIBLE
Question:
A parallelogram fencing area is to be constructed for a general swimming pool area. The total perimeter of the parallelogram fence is 220m. If one of the lengths is 50m, determine the dimension of the other length and draw it out.
If you want more information let me know
Answers
Answer:
The other length is 60m.
Step-by-step explanation:
If you look at the shape of a parallelogram, you will see that a parallelogram has two parallel sides. So, if the total perimeter is 220m, then 50m and 50m together would be 100m, so 220- 100= 120m left to fill in both sides left. so, 120÷2= 60m. 60m is the other length.
can anyone help? Need expert advice
Answers
Answer:
C (3,6)
Step-by-step explanation:
So the zeroes are the points that the loop goes through on the x-axis
so three and six
11.3 9 9 9 7.8 surface area of triangular prism
Answers
Answer:
Total area = 187.65 cm^2
Step-by-step explanation:
AREA of a triangle = 1/2 base * height
THREE sides 3 * 1/2 *9 * 11.3 = 152.55 cm^2
Bottom 1/2 * 9 * 7.8 = 35.1 cm^2
total = 187.65 cm^2
Convert 650 ml into litres
Answers
Answer:
.65 litres
Step-by-step explanation:
Please i really need help!
Answers
Answer:
21.25=4.25
Ms. Diaz buys 5 pounds of strawberrys
Step-by-step explanation:
The formula for converting C to F is C =
5(F-32)
9
where F is the temperature in °F and C is the temperature in °C.
Find F when C= 28°.
Answers
Answer:
f=82.4
Step-by-step explanation:
f=9c/5+32
f=9x28/5+32
f=252/5+32
f=50.4+32
f=82.4
the sum of two consecutive integers is 65. what are the two integers? show steps please.
Answers
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the two integers, given that they are consecutive, and their sum is 65.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.Let the first integer be x, and let the second integer be x+1.
Their sum is 65. Let's set up our equation:
[tex]\longmapsto\sf{x+x+1=65}[/tex]
Combine like terms:
[tex]\longmapsto\sf{2x+1=65}[/tex]
Subtract 1 from both sides of the equal sign:
[tex]\longmapsto\sf{2x=64}[/tex]
Divide both sides by 2:
[tex]\longmapsto\sf{x=32}[/tex]
To find the second integer, subtract the first integer from the sum of the two integers:
[tex]\longmapsto\pmb{65-32}[/tex]
[tex]\longmapsto\pmb{33}[/tex]
The integers are: 33 and 32.
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)