Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.
Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.
The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.
The greater the spread of the data, the greater the variance in proportion to the mean.
The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.
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Terrence has 100 points out of 200 possible points in his Geometry class.
A. Determine his grade as a percentage and letter grade. Explain how you determined this.
B. Calculate how many more points Terrence needs to be passing. Explain how you calculated this.
Answer:
A. Letter Grade: F
Percentage: 50%
100 is half of 200
B. 20 more points
Step-by-step explanation:
A. 100 is half of 200, and 50% is half of 100%.
B. 60% is a D, but it is still passing. Sine 200=100 x 2, we need to multiply 60 x 2. 60 x 2=120
The probability that a man will be alive in 25 years is 3/5. and the probability that his wife will be alive is 2/3. Determine the probability that in 25 years:
a. both will be alive
b. at least one will be alive
c. only the wife will be alive
Answer:
e
Step-by-step explanation:
chicken nuggets
A) 6/25
B) 13/15
C) 4/15
Explanation:
A) P(both will be alive) = (3/5)(2/5) = 6/25
B) P(at least one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15
C) P(only the wife will be alive)=(2/5)(2/3) = 4/15
There are 30 pens in a box.
12 of the pens are black.
7 of the pens are green.
The rest of the pens are red.
One of the pens is chosen at random.
Find the probability that the pen is red.
Step-by-step explanation:
30-(12-7)= red pens
30-19
11
Probability=
11/30
A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?
Answer:
less than or equal to 200 miles
Step-by-step explanation:
let 'm' = mileage
0.21m + 40 ≤ 82
subtract 40 from each side to get:
0.21m ≤ 42
divide each side by 0.21 to get:
m ≤ 200
find the volume……,,..,,,,,…,,,,..
Answer:
I am pretty sure the answer is 27.02.
Step-by-step explanation:
Hope this helps!
ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2
Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. A. 0.4332 B. 0.0668 C. 0.5000 D. 0.9332
evans uncle bought 2 1/4 pounds of hamburger meat and used 1/3 of it to make lunch. How much hamburger meat did evans uncle use to make lunch?
Answer/Step-by-step explanation:
To find the answer subtract 2 1/4 by 1/3
HELP ME OUT PLEASE!
How many total atoms of Nitrogen are shown in the formula below?
O 2
O 4
O 6
O 8
Answer:
A) 2
Step-by-step explanation:
It shows it in the formula.
which statement is true about the points located in quadrant IV on the coordinate plane
Answer:
B. The x-coordinate is positive, and the y-coordinate is negative
Step-by-step explanation:
Counting for the quadrants starts and the positive x-axis and then moves counterclockwise. This means that the IV quadrant will be the bottom right quadrant. The right axis is the positive x-axis and the bottom axis is the negative y-axis. This means that the coordinate for the IV quadrant must look like (x,-y).
What is the equation of this line in standard form?
6x−7y=11
6x−7y=−11
7x−6y=11
6x−5y=−13
9514 1404 393
Answer:
(b) 6x −7y = −11
Step-by-step explanation:
Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...
a) 11/-7 = -1 4/7
b) -11/-7 = 1 4/7 . . . . possible candidate
c) 11/-6 = -1 5/6
d) -13/-5 = 2 3/5
The only y-intercept that matches the graph is the one for equation ...
6x -7y = -11
_____
You can use any of several other strategies to verify this choice:
1) Putting the given point values into the equation:
for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes
for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes
__
2) Finding the equation from the given points.
m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7
Then the point-slope equation is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-1) = 6/7(x -(-3)) . . . . . substitute known values
7y +7 = 6x +18 . . . . multiply by 7, simplify
6x -7y = -11 . . . . . . . add -18 -7y to both sides
1. How do you know if you should multiply or divide when converting measurements?
Step-by-step explanation:
when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.
Solve for the value of q.
Answer:
q=13
Step-by-step explanation:
(8q-5)°+81°=180° (angles on a str line)
8q-5+81=180
8q=180+5-81
=104
q=104÷8
=13
Using supplementary angle theorem
[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]
[tex]\\ \sf\longmapsto 8q+76=180[/tex]
[tex]\\ \sf\longmapsto 8q=104[/tex]
[tex]\\ \sf\longmapsto q=13[/tex]
8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?
x – 1= 4x + x - 8+ 3x
Answer:
1
Step-by-step explanation:
Add one on both sides, combine like terms and solve.
find the value of -3/8 x 8/15=
we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5
ok done. thank to me :>
Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
What is the value of w?
Answer: b = 89
Step-by-step explanation:
1. Use Supplementary Angles
180 - (b + 33)
180 - b - 33
147 - b
2. The Angles in a Triangle add up to 180.
147 - b + b - 7 + b - 49 = 180
91 + b = 180
b = 89
Hope it helps :) and let me know if you want me to elaborate.
In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to
Answer:
L is equal to 0.25.
Do you want me to put an explanation?
Evaluate −|a| when a=60.
Answer:
-60
Step-by-step explanation:
Any number within the absolute value sign is always positive.
−|60|
- x 60 Negative sign times 60
=-60
Hope this helps :)
There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions
Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...
Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.
If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?
Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...
But if the roles are reversed the the Seventh graders should earn the 50 points.
There is not a full answer to what I am saying but from speculation you should be able to decide..
Answer:
Step-by-step explanation:
Juan is paid a salary of $2400 biweekly. Find Juan's earnings per year. (use only numbers) $
Need help with this question
Answer: D
Step-by-step explanation: n
20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.
0.9500
0.5580
0.0401
0.0002
Answer:0.5580
Step-by-step explanation:
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
50 points! Help (Vectors)
Answer:
its 18.4
(not sure btw)
Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions
(1/3) ² +1 and 2 - 8/9
(1+ 1/5)^2 and 2
16/25
Equations are expressions with equal values
(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign(a) (1/3) ² +1 and 2 - 8/9
Rewrite as:
[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]
Evaluate the exponent
[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]
Take LCM
[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]
[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]
Simplify
[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]
Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
(b) (1+ 1/5)^2 and 2 16/25
Rewrite as:
[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]
Take LCM
[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]
Rewrite as:
[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]
Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
Read more about equations at:
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Answer:
(1/3)^2 + 1 and 2 - 8/9 : Yes
(1 + 1/5)^2 and 2 - 16/25 : No
The sum of two numbers is 72 and their difference is 40. Using elimination method
Answer:
here's what we know:
a + b = 72
a - b = 26
We can use the elimination method to solve this problem:
a + b = 72
a - b = 26
---------------
2a = 98
Divide both sides by 2:
a = 49
So we now have:
49 + b = 72
and:
49 - b = 26
Subtract 49 from both sides:
b = 23
and
-b = -23 (multiply both sides by -1) → b = 23
Step-by-step explanation:
Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.
Answer:
A, C, D
Step-by-step explanation:
All of the plot curves contain (0, -8) and (-2, 0)
B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.
Answer:
Graph A , B, and D
Step by-step explanation:
All the points are one these three graphs.