The steps of finding mean and standard deviation of a simple random sample are given below.
What is standard deviation and mean?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
The steps of finding mean and standard deviation of a simple random sample are:
Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX): = σ/n.
How to determine sample means
Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...
Sum divided by the quantity of samples.
The outcome is the mean.
To determine the variance, use the mean.
To determine the standard deviation, use the variance.
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Find the slope between (3,-2) (-4,1)
Answer:
- [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
Change in y over the change in x.
(3,2)(-4,1)
The y values are 1 and 2.
The x values are -4 and 3.
You find the change by subtracting.
[tex]\frac{1--2}{-4-3}[/tex] = [tex]\frac{1+2}{-7}[/tex] = [tex]\frac{3}{-7}[/tex]
Can be written - [tex]\frac{3}{7}[/tex]
PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!
If you double the amount of fluid ounces, the amount of cups also double
There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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2. A recent study of 35 students determined that the mean number of hours per week they played video games was 16.6 hours. The standard deviation of the population was 2.8 hours. Find a 95% confidence interval of the population mean.
According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.
What means 95% confidence interval?A Confidence Interval is a zone created using sampled data from a population (sample space) that has a fixed size and follows a specific probability distribution. The interval is built to include a selected population statistic with a certain probability. A range of values above and below the point estimate, within which the true value in the population is likely to reside with 95% confidence, is known as a 95% confidence interval. 5% of the time, the true result might not fall inside the confidence interval.A confidence interval that includes the value of no difference between treatments denotes that there is no statistically significant difference between the therapy under consideration and the control.The result is that P([sample mean] - margin of error [sample mean] + margin of error) = 0.95.To learn more about confidence interval refer to :
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the sum of a number b and 24
answer:
b+24
step-by-step explanation:
it’s just asking for the sum so add the two values. there are no other integers given other than 24 so the answer is in expression form. hope that helps!
What are tractable and intractable problems?
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
Define tractable problem.An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.
Here,
Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.
This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.
Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
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For how many positive integers n does 1/n yield a terminating decimal with a non-zero hundredths digit?
The number which has a finite number of digits after the decimal point is a terminating decimal.
The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.
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MUST ANSWER QUESTION!
A palindrome is a number that is read the same backwards as forwards, for instance 12321. How many 5-digit palindromes with different neighboring digits are there? (Note that 01210 is not considered a 5-digit number and the palindrome 52525 has different neighboring digits. )
There are 24 ,5-digit palindromes with different neighboring .
Define probability.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Can probability be greater than 1?No, it is always between 0 t0 1.
Such a palindromic number should be abcba
2a+2b+c=14
Thus c has to be even and we need
a+b=14−c/2 and we can choose for a any value from 1 to (14−c)/2
Thus the number of such palindromic numbers is
7+6+5+4+3=25
starting from c=0 up to c=8
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Why can't the sine of an angle be greater than 1?
Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
What is an angle?An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Define sides and vertices.Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.
The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3
Answer:
[tex]f(g(-3))=-25[/tex]
Step-by-step explanation:
[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]
9m-4n=1
11m-3n=5 in simontaneous equation
The values of the variables are n = -17/31 and m = 23/93
How to determine the valuesFrom the information given, we have the equations;
9m-4n=1 equation 111m - 3n = 5 equation 2To solve the simultaneous equation, we have to take the following steps
Make 'm' the subject from equation 1
9m = 1 + 4n
Divide both sides by 9, we get;
m = 1 -4n/9
Substitute the value into equation (2), we have;
11(1 -4n/9) - 2n = 5
expand the bracket
11 - 44n/9 - 2n = 5
find the LCM
11 - 44n - 18n /9 = 5
cross multiply
11- 62n = 45
collect like terms
-62n = 45 - 11
-62n = 34
Make 'n' th subject
n = -34/62
n = - 17/31
Substitute the value into equation (3)
m = 1 - 4(-17/31)/9
m = 1+68/31 ÷9
m = 69/31 × 1/9
m = 69/279
m = 23/93
Hence, the values are n = -17/31 and m = 23/93
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What is the coefficient of y² in the expression 3y² 4x *?
The coeficient of y² in the expression is the number 3
What is an algebraic expression?
An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
In the given expression we have the following:
3y² + 4x
As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.
3 is the coefficient of y²
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solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)
Solving the modular arithmetic will result to
2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4What is modular arithmetic?The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.
Solving the modular arithmetic: 2 + n = 0 (mod 6)
2 + n = 0 (mod 6)
n = -2
Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):
2 + (3 + n) = 1 (mod 6)
5 + n = 1 (mod 6)
n = 1 - 5
n = -4
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What is the Contrapositive of P → Q?
"If p then q" is a conditional statement, and its contrapositive is If ~q then ~p.
Knowing about the inverse statement makes it simple to comprehend how to build a contrapositive statement. Take the negation of the hypothesis and the conclusion to produce the conditional statement's opposite.
Create the inverted statement first, then swap the hypothesis and conclusion to create the contrapositive of the conditional statement. Adding "not" to both component statements and switching the order of the provided conditional statements will result in contrapositive assertions, in other words.
If a number n is even, then n2 is even, and vice versa, is the contrapositive statement to "If a number n is even, then n2 is even."
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Sally makes craft kits. She needs 14 colored tiles for each kit. The area model represents the number of colored tiles in 15 kits. Drag the number to complete the area model. Numbers may be used once, more than once, or not at all.
4,10,100,50,20,40,9,5
The number that can be used to complete the area model is 210 and it can be used with numbers that are dragged are 100,100,10 bearing in mind that numbers may be used more than once
We already know that we have 14 colored tiles and that each of the area models is represented by 15 colored kits
The number of colored tiles in 15 kits is 210.
To find the total number of kits to use to complete the area model, you can multiply the number of tiles per kit (14) by the number of kits (15):
14 x 15 = 210
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I need to know the steps in order to solve this math problem....Please briefly describe the steps
a) A function w(t) to represent the amount of water in the pool using the two functions is w(t) = -3t + 5.
b) The pool will leak out the water when w(t)=0.
c) It will take 1.67 hours to leak out all the water from the pool.
d) Yes, functions f(t) and d(t) will intersect on the graphs when the pool stops leaking all the water out.
e) The domain of the functions f(t), d(t) and w(t) are 0 ≤ t ≤ 1.67.
What are functions?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Subtract the amount flowing into the pool by the amount being drained out the pool to get the amount of water in the pool .
The given functions are -
Flowing: f(t) = t² + 8t + 9.
Draining: d(t) = t² + 11t + 4.
The amount of water in the pool is -
w(t) = f(t) - d(t)
w(t) = t² + 8t + 9 - t² - 11t - 4
w(t) = -3t + 5.
Therefore, the function obtained is w(t) = -3t + 5.
When the condition is w(t) = 0 then, the pool will have leaked all the water.
Plugging in the values -
-3t + 5 = 0.
3t = 5
t = 1.67.
Therefore, the pool will leak all the water in 1.67 hours.
Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked. The graph is shown below.
The domain of a function is the set that contains all input values of the function. The input is the time in the given situation, so -
Time cannot be negative, hence t ≥ 0.
When all the water has been drained, everything stops, hence t ≤ 1.67.
Therefore, the domain of the function is 0 ≤ t ≤ 1.67.
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35 POINTS Complete the sentence.
Statistics is the result of __________ data.
Answer:
analysis (i got to put a bunch of random stuff here cs the limit)
Can someone please help me? :(
Answer:32 17/18
Step-by-step explanation:
33 + (1/9)(x)
x = -1/2
33 + (1/9)(-1/2) =
33 + -1/18
= 32 17/18
How do you find the nature of the roots of a given quadratic equation?
To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].
Finding the Nature of Roots of a Quadratic EquationSubstitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.
If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.
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You can read 12 pages of a book in 15 minutes.
How many hours will it take you to read a 312-page book?
It will take you 6.5 hours to read a 312-page book
How many hours will it take you to read a 312-page book?From the question, we have the following parameters that can be used in our computation:
Rate = 12 pages of a book in 15 minutes
This means that
Rate = 12 pages/15 minutes
Convert to per hour
Rate = 12 pages/0.25 hour
Evaluate
Rate = 48 pages per hour
For a 312-page book, we have
Time = 312 pages/48 pages per hour
Evaluate
Time = 6.5 hours
Hence, the time is 6.5 hours
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convert 20% profit into profit amount
Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.
Let's say,
You have revenue of $1000
So,
20/100 * 1000 = $200
So the 20% profit on the revenue of $1000 is $200.
It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.
Step-by-step explanation:
The value of x is -1/4 Order these expressions from least to greatest:
X
1-x
x-1
-1÷x
Answer:
Step-by-step explanation:
-1 divided by x
1 - x
X - 1
Which of the parabolas has a maximum?
(1) y = 8x² + 6x + 6
(2) y = -2x² + 6x - 6
(3) y = 2x² - 6x + 6
(4) y = 6x² - 6x-6
Answer:
(2) y = -2x² + 6x - 6
Step-by-step explanation:
Notice that the only leading coefficient that is negative is in the 2nd equation. Hence, the shape of the parabola will be upside down, making it have a maximum.
A jar contains $1.70 in ckels, dimes and quarter. There are twenty coins in all with twice as amny nickels as dimes. How many nickels are there in the jar
American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
How to find the calculation?A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.
In light of this, we might state that a nickel is worth half what a dime is worth.
Despite having a higher value than a nickel, the dime is smaller.
n + d = 22 <— d = 22-n
Amount in pennies: 5n + 10d = 170
5n + 10(22 - n) = 170
5n + 220 - 10n = 170
220 - 5n = 170
220 - 170 - 5n = 0
50 - 5n = 0
50 = 5n
n = 10
A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).
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can someone help me?
Answer:
Step-by-step explanation:
The solution is the point where the 2 lines intersect.
If they intersect where x = 1 and y = 2 the solution is (1, 2).
Melissa made pancakes using a circle
mold. The circumference of the mold
is 8 centimeters. Which measurement
is closest to the area of the mold in
centimeters?
A 50.24 cm
B 200.96 cm
C 25.12 cm
D 100.48 cm
Answer:
c
Step-by-step explanation:
The circumference should equal c = 2π × 8 cm = 50.265 cm . The area should equal A = π × (8 cm)² = 201.06 cm² . To check your results, input the 8 cm diameter in the calculator. The results should also be 50.265 cm and 201.06 cm². which is closest to c
help ! find x and y
[tex]x + y = 2[/tex]
[tex]y - x = 2[/tex]
Answer:
[tex](x,y)\rightarrow(0,2)[/tex]
Step-by-step explanation:
[tex]\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\[/tex]
Combine system of equations on both sides:
[tex](x+y)+(y-x)=2+2\\2y=4\\y=2[/tex]
Thus,
[tex]x+y=2\\x+2=2\\x=0[/tex]
(x, y) <=>(0, 2)
Step-by-step explanation:
[tex]x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 \div 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2[/tex]
Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. You need to
create a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
12.57 cm is the length of the label on bottle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a bottle of Buckley's has a radius of 2cm
You need to create a label for this product
We need to find the length of this label.
Means we need to find the circumference of the bottle.
The formula for circumference is
C=2πr
Given radius is 2cm
C=2×3.14×2
C=12.57 cm
Hence, 12.57 cm is the length of the label on bottle.
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Clara and erin volunteered at an animal shelter a of 9 1/5 hours. Clara worked for 41/3 hours. How many hours did erin work?Yon can use fraction strips to solve this problem
If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)
What is simple interest?Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.
F = P(1+rt), formula for simple rate of interest
Here,
=> Future value is F
Present value is P
=> Rate is R
=> Time is t
Substituting x for r
And, n for t
Also, 10,000 in for P
F = 10,000(1+xn)
The formula tells us principal + interest,
F = 10,000(xn)
Now, to get the x into terms of a percentage,
F = 10,000(n * x/100)
F = 10,000n(x/100)
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The basketball team averaged 68 points per game last season and average 77 points per game this season. What is the approximate percent of the increase
According to question we can say that the approximate percentage of the increase is 13.2352%.
What is percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
Based on the given conditions, formulate: (77 —68)/ 68
e sum or difference:9/68 = 0.132352
0.132352 x100/100
=13.2352%
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Bautista is planning a vacation to Los Angeles. He already has $42.50 and saves $25.50 each week. If the trip will cost a total of $654.5, how many weeks will it take for him to save for the trip?
Answer:
24 WEEKS
BECAUSE IF U MULTIPLY 24X25.50 U WILL GET 612 ADD 42.50 AND U WILL GET 654.50