Answer:
Mean = 19.84
Standard deviation = 11.12
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.
The explanation of the answer is now given as follows:
Note: See the attached excel file for the calculation of the total of fx and total of f*x^2.
N = Number of individuals sampled = 200
From the attached excel file, we have:
Total of fx = 3,967
Total of f*x^2 = 103,425.50
Therefore, we have:
Mean = Total of fx / N = 3,967 / 200 = 19.84
Variance = (Total of f*x^2 / N) - Mean^2 = (103,425.50 / 200) - 19.84^2 = 517.13 - 393.43 = 123.70
Standard deviation = Variance^0.5 = 123.70^0.5 = 11.12
if p(a) contain 8 elements then set a contain which element
Answer:
3 elements
because 2^3=8
Answer:
3 elements
because 2^3=8
Step-by-step explanation:
A review of combination
Answer:
What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
#happylearning
Select the correct answer.
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
A.
$100
B.
$120
C.
$150
D.
$180
Answer:
180
Step-by-step explanation:
9x20= 180
Answer:
Step-by-step explanation:
Well You Know you have to multiply
multiply 9 times 20
9 times 2 18
then add the zeros
The answer is 180
So for this problem what I did was I divided 210 (the total number of calories) / 10 (calories from the fat). The total came out to be 21 but the answer is incorrect. How would I go about solving this problem?
For percentages, we divide the part by the whole. In this case, the part is the number of calories from fat and the whole is the total number of calories.
10 / 210 = 0.0476 = 4.76%
Then, we need to round to the nearest tenth.
The answer is 4.8%
Hope this helps!
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answer:
(last part)
25%
27.8%
290%
300%
67%
Step-by-step explanation:
0=5x+3 solve equation
5x+3=0
5x=–3
x=–3/5
x=– 0.6
Answer:
x = -3/5
Step-by-step explanation:
0 = 5x + 3
shift 3 to left hand side . when u are shifting 3 to other side it becomes negative
0 - 3 = 5x
-3 = 5x (5x means 5*x)
now shift 5 to left hand side . multiplication changes to division when u shift.
-3/5 = x
Marina is given a rectangular piece of paper. If the length of Marina’s piece of paper is represented by 3x -6 and the width is represented by 2x -5, then the paper has a total area represented by
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?
Answer:
x + $0.30 = y
Step-by-step explanation:
hope this helps!
Answer:
(x,0.3*x)
Step-by-step explanation:
the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.
Expand and simplify (b+6)(b-4)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: {b}^{2} + 2b - 24}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \: (b + 6)(b - 4)[/tex]
➼[tex] \: b \: (b - 4) + 6 \: (b - 4)[/tex]
➼[tex] \: {b}^{2} - 4b + 6b - 24[/tex]
Combining like terms, we have
➼[tex] \: {b}^{2} + 2b - 24[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
What is a cubic function
Answer:
In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.
what is the best estimate of (-3/8)(17 5/6)
Answer:
-11
Step-by-step explanation:
Given the expression (-3/5)(17 5/6)
Converting the mixed to improper fraction
(-3/5)(17 5/6)
= (-3/5)(107/6)
= (-3*107)/(5*6)
= -321/30
= -10.7
Hence the required best estimate is -11
6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.
Answer:
[tex]A = 137.3cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The area of the semicircle
First, we calculate the hypotenuse (h) of the triangle
Considering only the triangle, we have:
[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula
Make h the subject
[tex]h = \frac{7}{\cos(68)}[/tex]
[tex]h = \frac{7}{0.3746}[/tex]
[tex]h = 18.7[/tex]
The area of the semicircle is then calculated as:
[tex]A = \frac{\pi h^2}{8}[/tex]
This gives:
[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]
[tex]A = \frac{1098.03}{8}[/tex]
[tex]A = 137.3cm^2[/tex]
7) -4 = 2(b + 5)
please help!
Answer:
b = -7
Step-by-step explanation:
Let's solve your equation step-by-step.
−4 = 2(b + 5)
Step 1: Simplify both sides of the equation.
−4 = 2(b + 5)
−4 = (2)(b) + (2)(5)(Distribute)
−4 = 2b + 10
Step 2: Flip the equation.
2b + 10 = −4
Step 3: Subtract 10 from both sides.
2b + 10 − 10 = −4 − 10
2b = −14
Step 4: Divide both sides by 2.
[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]
b = -7
Hope this helps, please mark brainliest if possible. Have a great day! :)
If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.
The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.
What exactly does a negative correlation coefficient mean?Two variables with a negative correlation tend to move in opposing directions.
While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.
The complete question is;
"The given statement is true or false
If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."
Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.
Hence, the given assertion is incorrect.
To learn more about the correlation refer to:
https://brainly.com/question/6563788
#SPJ1
The following are the temperatures of 10 days in winter in °C.
6, 5, 3, -4, 3, -3, 2, -1, -2, 0
Work out the mean temperature
Answer:
0.9
Step-by-step explanation:
To find the mean temperature, we have to add all of the numbers together and divide that by the amount of numbers there are.
6 + 5 + 3 + -4 + 3 + -3 + 2 + -1 + -2 + 0 = 9
There are 10 numbers.
Our mean, or average, would be 9 / 10 = 0.9
pls I need an answer to this
Answer:
10.20
the answer is in none of the options just choose
10.12
OPTION D is the correct answer
A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from 50 parts. Selected parts are not replaced. How many different samples are there of size six that contain exactly 2 defective parts? What is the probability that a sample contains exactly 2 defective parts?
Answer:
535,095 different samples of size six that contain exactly 2 defective parts.
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
As the order of the parts is not important, the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different samples are there of size six that contain exactly 2 defective parts?
2 defective from a set of 3, and 4 non-defective from a set of 47. So
[tex]D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095[/tex]
535,095 different samples of size six that contain exactly 2 defective parts.
What is the probability that a sample contains exactly 2 defective parts?
The total number of samples is:
[tex]T = C_{50,6} = \frac{50!}{6!44!} = 15890700[/tex]
Then...
[tex]p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337[/tex]
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
some one plz help its algebra 1
What is a half of 25% of 0.2 0f 200?
Answer: 5
Step-by-step explanation:
Data: Half of 25% of 0.2 of 200=x
Step one, Find 0.2 of 200
0.2=20%
20% of 100=20 so 20% of 200=40
Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.
Step two, Find 25% of 40
40/4=10 which means 4x10=40
10=25% of 40
Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)
Step three, Find half of 10
10/2=5
Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.
So, half of 25% of 0.2 of 200 is 5
I hope this helps!
Classify the graph as a linear function, nonlinear function, or relation (non-
function)
Answer: Nonlinear function
Step-by-step explanation:
Matt had 60 questions correct on a Percent’s Chapter Test that had 150 one-mark questions. What was his mark written as a percentage?
Answer:
His mark, as a percentage, was of 40%.
Step-by-step explanation:
Mark as a percentage:
His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.
In this problem:
60 questions correct out of 150. So
60*100%/150 = 40%
His mark, as a percentage, was of 40%.
Solve for x in the triangle. Round your answer to the nearest tenth
Step-by-step explanation:
[tex] \tan(67) = \frac{x}{7} \\ 2.355852366 = \frac{x}{7} \\ x = 16.49 = 16.5[/tex]
write the other side of this equation so its true for all values of x: 1/2(6x-10)-x=
9514 1404 393
Answer:
2x -5
Step-by-step explanation:
Any equivalent expression can be used. It is perhaps easiest just to simplify the given expression.
1/2(6x -10) -x = 3x -5 -x = 2x -5
Putting 2x-5 on the right will give an equation true for all x.
1/2(6x -10) = 2x -5
Which two terms are interchangeable?
Answer: Axioms and Postulates
Step-by-step explanation:
Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.
I hope my explanation helped. Your welcome.
[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]
What the value of n
Step-by-step explanation:
[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]
[tex] {7}^{2n + 1} \div {7}^{2} = {7}^{3} [/tex]
[tex] {7}^{2n + 1 - 2}= {7}^{3} [/tex]2n-1=32n=4n=2Find the volume and surface area of the rectangular solid. The length is 4 meters, the width is 6 meters, and the height is 3 meters.
Answer:
Volume = h * w * l (height, width, length)
Volume = 4* 6 * 3
Volume = 72 cube meters
Surface area is finding the are of every 2D plane on the solid.
2(w * h) + 2(l*h) + 2(w * l)
Surface are = 108 square meters
F=16,V=12,E=□ by euler's formula
Answer:
26
Step-by-step explanation:
F + V = E + 2
Where,
F = number of faces = 16
V = number of vertices = 12
E = number of edges = ?
F + V = E + 2
16 + 12 = E + 2
28 = E + 2
28 - 2 = E
26 = E
E = 26
E = number of edges = 26
Anempt 1012
Find the mean for the given set of data.
-4,-3,-1,-1, 0,1
Answer:
-1 1/3
Step-by-step explanation:
To find the mean, add up all the numbers
(-4+-3+-1+-1+0+1) =
-8
Then divide by the number of terms
-8/6
-4/3
-1 1/3
Answer A is your answer
Step-by-step explanation:
If one dog eats 5 pounds of food each week, how many dogs will 65 pounds of food feed for a week
Answer:
It will feed 13 dogs.
Step-by-step explanation:
1 dog = 5 lbs
Set up an equation:
Variable x = number of dogs
1/5 = x/65
Cross multiply:
1 × 65 = 5 × x
65 = 5x
Divide both sides by 5:
13
Check your work:
13 dogs × 5 lbs = 65 lbs
65 = 65
Correct!
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
Segment EH or segment EG
Step-by-step explanation:
A tangent segment is a segment that has one of its endpoints perpendicular to the radius of a circle. The point where the one endpoint of the tangent segment and the radius meet is the point of tangency.
Segment EH and segment EG are both tangent segments to the circle with center Q.
Any of the two is the answer
