In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
What do you mean by normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here the mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
Learn more about the normally distributed data here;
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A friend owes $10,000 on his credit card. He plans to stop making charges and pay off the balance. The card has a minimum payment of 5%. He figures correctly that 5% of $10,000 is $500. From that he concludes that he needs to make the 5% minimum payment for only 20 months Is your friend right? If not, explain the error in his reasoning.
Answer:
yes he is correct
Step-by-step explanation:
10000x0.05=500 so thats correct
he will pay 500 for 20 month= 10,000
- Calculate the median and range
of the data in the dot plot. Then
compare the results to the dot
plot for Exercise in Example 2.
Need help with this question
Answer:
4 : 3
Step-by-step explanation:
QRS to VUT
[tex]\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9[/tex]
[tex]\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
△QRS:△VUT = 8:6 = 4:3
Help does someone know the answer? I NEED IT NOW PLEASE
Point X is on a number line halfway between –5 and 11. Point Y
represents an integer that has the same absolute value as point X.
What integers could be represented by point Y?
please help asap
Answer:
[tex]y = 3[/tex] or [tex]y =-3[/tex]
Step-by-step explanation:
Given
x = midpoint of -5 and 11
y = absolute value of x
Required
Determine the value of y
First, calculate x.
[tex]x = \frac{1}{2}(-5 + 11)[/tex]
[tex]x = \frac{1}{2}(6)[/tex]
[tex]x = 3[/tex]
y can then be represented as:
[tex]|y| = x[/tex]
[tex]|y| = 3[/tex]
Split:
[tex]y = 3[/tex] or [tex]-y = 3[/tex]
[tex]y = 3[/tex] or [tex]y =-3[/tex]
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Answer:
the 3rd option because Imma fresh man bro
3x/5 - 2 = x + 1/3
Solve the equation above for x.
PLEASE HELP ME ANSWER THIS QUESTION!!! Last question!!
Answer:
you got this
Step-by-step explanation:
trust your instincts so that way you may succeed in your collage
Answer
Angle 1=112 degrees
Step-by-step explanation:
Aight so we know angle 1 nd 2 equals 180 degrees, and because of some theorem with lines, angles 2 and 4 are both alternate exterior angles which means they are the same.
So if angle 4=5x+13
and angle 1=10x+2
and together they make 180, this should be your equation:
5x+15=180
simplify to get x=11
then since 1 =10x+2
multiply 11 by 10 then add 2
and your final answer should be 112 degrees
hope this helps
Please help I think it’s 4.0cm2 I’m i right?
Answer:
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Step-by-step explanation:
What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
please help on this question i will give u brainliest:
Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take precautions to monitor the trees to give them the best chance of survival.
Abby does some research and finds that, on average, 3 out of every 25 trees planted will die their first year.
Answer:
smalls
Step-by-step explanation:
hi besties if you are looking for 50+ brainiest bonus points and brainiest answer this question correctly plz
Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
105
Step-by-step explanation:
17.5÷2.5=7
7x15=105
The mean of five numbers is 4.
The five numbers are 1, 3,5,2 and x.
Find x.
Answer:
9
Step-by-step explanation:
In Order to gain the mean you would follow the formula:
Total Sum of all Numbers added together / Amount of integers.
In this case, you have 5 numbers 1, 3 , 5 , 2 , x .
I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.
1 + 3 + 5 + 2 = 11.
Therefore x must be 9.
1 + 3 + 5 + 2 + 9 = 20
20 / 5 = 4.
Hope this helps and mark as brainilest if found useful.
The slope indicates that the height ? feet per minute.
Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?
Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso
Answer:
3/2 or 1 1/2
Step-by-step explanation:
So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!
Which expression is equivalent to x + 0.2x
1.2x
0.2x squared
0.2x
1.02x
For a cat that weighs 15 pounds, rank the following scale weights from least
accurate to most accurate.
15.10 pounds
13.9 pounds
16.2 pounds
15.01 pounds
Answer:
16.2 pounds (least accurate)
13.9 pounds (2nd least accurate)
15.10 pounds (2nd most accurate)
15.01 pounds (most accurate)
Step-by-step explanation:
I hope this helps :)
Answer:
16.2 pounds
13.9 pounds
15.10 pounds
15.01 pounds
Any help anyone? Running out of time
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
Help me please help help help
Answer:
Step-by-step explanation:
at least.
Don operates a small craft store in which he sells other peoples crafts. He takes a 45% commission from the sales of all crafts. If he earns $958.00 Commission last week, how much did he sell?
Answer:
2,128
Step-by-step explanation:
958=45/100 x
958= 0.45* x
x=958/0.45
x=2,128 approximately
Hope that helps!
Solve for b. —11b + 7 = 40 b =
Answer:
-3
Step-by-step explanation:
-11(-3)+7=40
33+7=40
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. Choose the correct answer below. A. The matrix is not invertible because its determinant is zero. B. The matrix is invertible because its determinant is not zero. C. The matrix is not invertible because the matrix has 2 pivot positions. D. The matrix is invertible because its columns are multiples of each other. The columns of the matrix form a linearly dependent set.
Answer:
A. The matrix is not invertible because its determinant is zero.
Step-by-step explanation:
The matrix is invertible if the columns and rows are equal. The square matrix is invertible because it has equal rows and columns. The determinant of the matrix is zero then the matrix is no invertible.
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Answer:
24
Step-by-step explanation:
3 inches / 1.25 miles = x inches / 10 miles
x = 24 inches
Answer:
24 inches
Step-by-step explanation:
create a proportion of inches/miles = inches/miles
let x = # inches in 10 miles
3 / 1.25 = x / 10
cross-multiply:
1.25x = 30
x = 30/1.25
x = 24
3x^2+xy factorise it
Answer:
The factorized expression is [tex]x(3x + y)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3x^2 + xy[/tex]
Factorizing:
We place the common factor in evidence.
The common factor of both elements of the sum is x. So
[tex]3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)[/tex]
The factorized expression is [tex]x(3x + y)[/tex]
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.
Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%
Answer:
A.) 11%
Step-by-step explanation:
Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: [tex]\frac{1}{9}[/tex]
Step 2) Then we need to turn this into a decimal to find the percentage:
1 ÷ 9 = 0.111111111...
Step 3) We now need to turn this into a percent:
0.11 x 100% = 11%
What is the midpoint of the segment (2,4) (2,-7)
Answer:
b
Step-by-step explanation:
the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years
Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y