When the standard deviation of a data set is 19 then the datasets variance will be :
361
What is the relation between standard deviation and variance? This same standard deviation of a set of numbers is the distance between them and the mean. The variance is a measure of how far each point deviates from the mean on average. Variance is the average of all data points within a group, whereas standard deviation is the square root of the variance.variance formula :
variance = σ2
We are given a data set with a standard deviation of 19 and are asked to calculate the variance of the data values.
standard deviation = 19
We know that the variance of a data set is equal to the square of the standard deviation of the data values, so if the standard deviation is 19, the variance will be 19².
variance = standard deviation²
variance = 19²
= 361
As a result, the variance of the data values is 361.
To learn more about standard deviation refer to :
https://brainly.com/question/12402189
#SPJ9
Hugh and Mari wanted to buy a tent for their family holidays, and they were hoping to use the interest from their savings to buy it. They invested £1500 at the bank with an interest rate of 7%. At the end of 3 years, they had exactly the right amount saved to buy the tent. How much does the tent cost?
The tent cost is equal to 315.
They invested £1500 at the bank with an interest rate of 7%. At the end of 3 years,
So, the principle amount is 1500, rate of interest given by the bank is 7%
and they invested the amount for 3years.
The interest amount can be calculated by using the simple interest formula:
SI = [tex]\frac{PRT }{100}[/tex]
where P denotes the principle amount invested R is the rate of interest and t is the time for which the amount is being invested.
SI = (1500 x 7% x 3)/100
SI = 15 x 21 = 315
The simple interest is calculated to be 315.
They had exactly the right amount saved to buy the tent.
So, the cost of the tent is same as the interest amount. = 315
Therefore, the tent cost is equal to 315.
To learn more about simple interest refer here
https://brainly.com/question/20690803
#SPJ1
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,3) and (-4,-1)
The equation of the perpendicular bisector line is y = x + 3
Equation of a lineTo solve this problem, we simply need to use the formula of equation of a straight line which is given as
[tex]y = mx + c[/tex]
Let's find the slope (m) and the intercept (c) of the equation.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let's substitute the values into the formula and solve.
[tex]m =\frac{-1 - 3}{-4 -(-8)} \\m = \frac{-4}{-4} = 1[/tex]
The slope of the line is equal to 1.
Taking any of the point given, we can find the intercept.
[tex]y = mx + c\\-1 = 1(-4) + c\\- 1 = -4 + c\\c = 3[/tex]
From the above, we can use the values to write the equation of the line.
[tex]y = mx + c\\y = x + 3[/tex]
The equation of the line is y = x + 3
Learn more on equation of line here;
https://brainly.com/question/26249361
#SPJ1
Dr.Gordon has a scale drawing of a building site. The drawing uses the scale 2 in. On the drawing for every 100 ft on the building site. Dr.Gordon marks a 6 in by 32 in section of the drawing to show the section she will search. What is the area of the section she will search? Show your work.
It is essential that Dr. Gordan searches for an area that is equivalent to 48,000 ft2, and he will look for it.
This is further explained below.
What is the search area?Generally, As stated in the preceding inquiry, The scale that Dr. Gordan uses
2 in = 100 ft
⇒1 in = 50 ft
A portion measuring 6 inches by 3.2 inches is highlighted by Dr. Gordon.
6 inches of length
= ( 6 × 50 )ft
= 300ft
3.2 inches in width
= ( 3.2 × 50 )
= 160ft
The total area of the section may be calculated as follows:
area = (length x width)
= 300 × 160
= 48,000 ft²
As a result, the needed search area for the portion that Dr. Gordan will conduct is equivalent to 48,000 feet squared.
Read more about Area
https://brainly.com/question/27683633
#SPJ1
a linear equation of a line that is parallel to 2y-6x=6 and crosses through point (0,3)
Starting at noon, Fatoumata observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent ss, how many inches of snow were on the lawn: s=8+0.01xs=8+0.01x, where xx represents the number of minutes past noon. What is the meaning of the ss-value when x=1x=1?
The value of the inches of snow in 1 minute is 8.01 inches.
What is a expression?It should be noted that an expression is important to show the relationship between the variables.
In this case, the expression is given as:
s = 8 + 0.01x
where x = the number of minutes past noon.
s = inches of snow.
In this case, when x = 1, the value will be
s = 8 + 0.01x
s = 8 + 0.01(1)
s = 8.01
The snow is 8.01 inches.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Answer:
Step-by-step explanation:
he value of the inches of snow in 1 minute is 8.01 inches.
What is a expression?
It should be noted that an expression is important to show the relationship between the variables.
In this case, the expression is given as:
s = 8 + 0.01x
where x = the number of minutes past noon.
s = inches of snow.
In this case, when x = 1, the value will be
s = 8 + 0.01x
s = 8 + 0.01(1)
s = 8.01
The snow is 8.01 inches.
please help me with this problem
Step-by-step explanation:
[tex]12^{9} / 12 ^{3} =[/tex]
When dividing exponential expressions with similar bases (in the problem, the base is 12), calculate the difference (this means subtract) between their exponents and keep the base:
so:
9 - 3 = 6
so the answer is : [tex]12^{6}[/tex]
HELP I WILL GIVE BRAINLIEST ONLY TO RIGHT ANSWER
Which graph shows a proportional relationship between x and y?
Answer:
C
Step-by-step explanation:
The y-axis is the vertical axis, which is represented by y, and the x-axis the horizontal axis, represented by x. You can see in the graph that (3, 12) is one point. 3 x 4 = 12, where x is 3 and y is 12. This proves the proportional relationship with x and y is y = 4x. To double check, you can plug in (3, 12) to get 12 = 4(3). 4 x 3 = 12, so Option C shows the proportional relationship.
We typically write linear equations in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Because this graph has a proportional relationship, it means that they pass through the point (0,0), and that our y-intercept is 0. Our equation looks like this:
[tex]y=mx[/tex]
Solving the QuestionFirst, we typically find the slope of the equation using the slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the line
⇒ Plug in any two points that the line passes through, such as (0,0) and (3,12):
[tex]m=\dfrac{12-0}{3-0}\\\\m=\dfrac{12}{3}\\\\m=4[/tex]
Therefore, the slope of the line is 4. Plug this into [tex]y=mx[/tex]:
[tex]y=4x[/tex]
Answer[tex]y=4x[/tex]
Paco has $400 June has 1/10 of that. June has 10 times as much Maria has how much money do Maria and June have
Answer:
maria:4$
june:40$
Step-by-step explanation:
400/10 = 40 = june
40/10 = 4 = maria
hope this helped
have a good day ^^
Answer:
June has $40 and Maria has $4.
Step-by-step explanation:
One tenth of 400 is 40 and 40 divided by 10 equals 4.
20b - 16 Factor the expression completely
Answer:
4(5b-4)
Step-by-step explanation:
(20b-16)/4
4(5b-4)
Answer:
4(5b - 4)
Step-by-step explanation:
20b - 16 ← factor out 4 from each term
= 4(5b - 4)
Which of the following relations doesnot represent a function?A {(4,4),(5,4), (6,4)}B {(4,4),(4,5),(4, 6)C {(4,5), (5,5), (6,5)}D {(4,4),(5,5), (6,6)}
In a set of ordered pairs,
To be considered a function, each x-value must be paired with a corresponding UNIQUE y-value.
We want to select the "relation" from the choices, not the function.
A. Represents a function. Each x value paired with unique y value.
B. Doesn't represent a function. "4" is paired up with mutliple values of y.
C. Represents a function. Each x value paired with unique y value.
D. Represents a function. Each x value paired with unique y value.
AnswerBIf f(1) = 1 and f(n) = 2f(n-1) then find the value of f(6).
The value of the function f (6) will be 32.
What is substitution method?
Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function;
f (1) = 1
And, The function is;
f (n) = 2 f (n - 1)
Now, Find the value of the function f (6) as;
Since, The function is;
f (n) = 2 f (n - 1)
Substitute n = 2, we get;
f (n) = 2 f (n - 1)
f (2) = 2 f (2 - 1)
f (2) = 2 f (1)
f (2) = 2 x 1
f (2) = 2
And, Substitute n = 3, we get;
f (n) = 2 f (n - 1)
f (3) = 2 f (3 - 1)
f (3) = 2 f (2)
f (3) = 2 x 2
f (3) = 4
And, Substitute n = 4, we get;
f (n) = 2 f (n - 1)
f (4) = 2 f (4 - 1)
f (4) = 2 f (3)
f (4) = 2 x 4
f (4) = 8
And, Substitute n = 5, we get;
f (n) = 2 f (n - 1)
f (5) = 2 f (5 - 1)
f (5) = 2 f (4)
f (5) = 2 x 8
f (5) = 16
And, Substitute n = 6, we get;
f (n) = 2 f (n - 1)
f (6) = 2 f (6 - 1)
f (6) = 2 f (5)
f (6) = 2 x 16
f (6) = 32
Thus, The value of the function f (6) will be 32.
Learn more about the substitution visit:
https://brainly.com/question/26450455
#SPJ1
A small fruit smoothie is 11 ounces while a large fruit smoothie is 13.86 ounces. The large fruit smoothie is ___% larger?
Answer:
23.0088% difference
Step-by-step explanation:
Calculate percentage difference
between V1 = 11 and V2 = 13.86
|V1−V2|[(V1+V2)2]×100=?
1) =|11−13.86|[(11+13.86)2]×100
2) =|−2.86|[24.862]×100
3) =2.8612.43×100
4) =0.230088×100
Answer: 23.0088% difference
Because of the high cost of living, Kathlego, Tessa, and Zane each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer
and painter
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living.
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Given that,
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living, however there are both work in the same field. Doctor, engineer, teacher, lawyer, painter, and writer are among the professions.
As soon as we realize that Zane "is not the doctor," we immediately rule off that possibility and move on to the other professions.
Given that "Zane beat Tessa and the painter at tennis," we can infer that Tessa and the painter are no longer together, which makes Kathlego the Painter.
We currently have.
Kathlego is an painter.
We can now go on to "The painter was engaged by the doctor to do the task." The fact that Zane is not the doctor and we know the painter is Kathlego gives us a huge hint. Tessa is therefore unquestionably a doctor.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
We may now infer that the person is one and the same because we have "The teacher and the writer went fishing with Kathlego." We can rule out Kathlego and Tessa as the teacher and writer because they each have two jobs. Thus, we are left to assume that Zane is the instructor and author.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
Both a writer and a teacher, Zane.
Consequently, the lawyer, Kathlego, is the last task left for us to complete.
Therefore,
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Complete question: 3. *Because of the high cost of living, Kimberly, Terry,and Otis each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer,
and painter. Given the following information, determine the occupations of each individual:
a.) The doctor had lunch with the teacher.
b.) The teacher went fishing with Kimberly, who is not the writer.
c.) The painter is related to the engineer.
d.) The doctor hired the painter to do a job.
e.) Terry lives next door to the writer.
f.) Otis beat Terry and the painter at tennis.
g.) Otis is not the doctor
To learn more about painter visit: https://brainly.com/question/1487332
#SPJ4
In the figure below, m3=44°. Find mZ1, m2, and m/ 4.
Check the picture below.
classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial.
The polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial is Leading term= x
Leading coefficient= -6
Degree of the polynomial = 1
Taking = g(x) = - 6x - 9
It is a linear function which has an intercept with the y - axis at x= 0, y= -9.
Where m= -6.
Leading term= x
Leading coefficient= -6
Degree of the polynomial = 1
What are cubic and quadratic constant polynomials?
A variable is a constant polynomial if its highest exponent is 0. It is a linear polynomial if the highest exponent is 1. It is a quadratic polynomial if the largest exponent of a variable is 2, and a cubic polynomial if the maximum exponent is 3.
To learn more about quadratic polynomial visit:https://brainly.com/question/17489661
#SPJ4
1/3(2n - 1/4)=7/14
solve the eqaution for n
Answer:
n=7/8
Step-by-step explanation:
i got big brain
Does the following pair represent like fraction’s 6/7 1 5/7
The following pair represent 6/7 , 1 5/7 are called like fractions, because the fractions with the same denominators.
Based on the given fraction is,
6/7 , 1 5/7
Then,
What is Fraction :In a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Like Fractions – The fractions with the same denominator are called like fractions.Example: 4/2, 7/2, 9/2
Here, the denominators of all the fractions are 2. Hence, they are called like fractions.
Unlike Fractions – The fractions with different denominators are called, unlike fractions.
Example: 5/2, 4/6, 9/4
Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.
Equivalent Fractions – If two fractions result in same value, after simplification, then they are equivalent to each other.Example: ⅔ and 4/6 are equivalent fractions, since 4/6 = (2×2)/(2×3) = 2/3
In group (i) the denominator of each fraction is 7, i.e., the denominators of the fractions are equal.
The fractions with the same denominators are called like fractions.
In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.
The fractions with different denominators are called unlike fractions.
Therefore,
The following pair represent 6/7 , 1 5/7 are called like fractions, because
the fractions with the same denominators.
To learn more about information visit Like Fractions :
brainly.com/question/20053389
#SPJ1
Leah wants to divide x by −5/12. What number should she multiply by x to find the answer?
The number to be multiplied by x to get the answer will be -12/5.
An algebraic expression may be defined as an equation which consists of variables and the arithmetic operations such as division, multiplication, addition and subtraction. It is given that Leah wants to divide x by a number which is -5/12. We know that an algebraic expression needs a variable so x divided by -5/12 can be written as
x ÷ -5/12
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution. The expression can be written as
x × -12/5 or we need to multiply -12/5 by x to find the answer.
Learn more about algebraic expression at:
brainly.com/question/28674581
#SPJ1
help i need help ASAP pleeeeeeeeeeeeeeees
Answer:
Step-by-step explanation:
3. What is the variance of the following set of data?
4, 44, 404, 244, 4, 74, 84, 64
Use 82 =
Σ(x₁ - x)²
(N-1)
O139
O130
O19,298
16,886
Answer:
16,886
Step-by-step explanation:
The last answer! Pls mark me brainly!
willie buys a hot rod magazine for $7 and intends to stock up on pork rinds at 2$ a bag. he bought $15 write and inequality that represents how many bags of pork rinds willie can buy algebra
Find the 60th term of the arithmetic sequence -29, -49, -69,
The 60th term of the arithmetic sequence - 29, - 49, - 69 is - 1209.
An ordered collection of objects that allows repetitions is referred to as a sequence.
Consider the arithmetic sequence,
- 29, - 49, - 69
The common difference of the sequence is:
d = - 49 - ( - 29 ) = - 49 + 29 = - 20
The first term of the sequence is a = - 29.
The nth term of an arithmetic sequence is given as:
aₙ = a + ( n - 1 )d where n is the number of term.
Therefore, the 60th term of the sequence will be:
aₙ = a + ( n - 1 )d
a₆₀ = - 29 + ( 60 - 1 ) × - 20
a₆₀ = - 29 + 59 × - 20
a₆₀ = - 29 + 59 × - 20
a₆₀ = - 29 - 1180
a₆₀ = - 1209
Hence, the 60th term of the arithmetic sequence is - 1209.
Learn more about arithmetic sequence here:
brainly.com/question/6561461
#SPJ1
need asap pleasee will give 30 points and brainiest if its correct
[tex]{ \sf{option(a)}}[/tex]
The statement For all real numbers a, b and c, if a = b, then a - c = b - c represents the subtraction property of equality.
2. The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step-by-step explanation:
Look at the units: miles per hour is miles/hour
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
What does the n stand for in this formulac
A = P(1+) **
The number of times compounded per year
O final amount
O time
O initial amount
This is formula of compound interest , where n = time .
What is the simple definition of compound interest?
When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.As an illustration, if you put $1,000 in an account that offers 1% yearly interest, you will receive $10 in interest after a year. Compound interest allows you to earn 1 percent on $1,010 (principal plus interest), or $10.10 in interest payments for the year, in Year Two.the n stand for in this formula is time
the full formula is
A = P(1 + r/100)ⁿ
where A = Annual amount
P = initial amount
R= rate
n = time
this is formula of compound interest
Learn more about compound interest
brainly.com/question/14295570
#SPJ13
Rewrite 15x^4y^3 - 45x^3y^4 using a common factor
help fast pls
Answer: 15x^3y^3 (x-3y)
Step-by-step explanation:
To get the greates common factor (or GCF) you
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number 3 to the power of 1 equals 3 .
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number 3 to the power of 2 equals 9.
AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10.
Determine the value of x.
Applying the definition of perpendicular bisector, the value of x is: 10.
What is a Perpendicular Bisector?A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.
Since AD is the perpendicular bisector of BD, then, BD = DC.
BD = 5x - 10
DC = 3x + 10
Substitute
5x - 10 = 3x + 10
Combine like terms
5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]
5x = 3x + 20
5x - 3x = 3x + 20 - 3x [subtraction property of equality]
2x = 20
Divide both sides by 2
2x/2 = 20/2 [division property of equality]
x = 10
The value of x is 10.
Learn more about perpendicular bisector on:
https://brainly.com/question/11006922
#SPJ1
Damian has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs 195 points for a free movie ticket.
Which equation could be used to determine vv, the number of visits Damian must make to earn a free movie ticket? I need just the equation alright
The equation that could be used to determine v, the number of visits Damian must make to earn a free movie ticket is 20 + 12.5v = 195
How to calculate the equation?Based on the information, the following can be illustrated:
He receives 20 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs 195 points for a free movie ticket.
The equation will be:
20 + (12.5 × v) = 195
20 + 12.5v = 195
where v = number of visit
The equation is 20 + 12.5x = 195
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
difference of 4 and 23/100
Answer:
4-0.23=3.77
Step-by-step explanation:
The graph of g shows the percent of battery power remaining on a laptop after it is turned on. The function f(x)=0.75-0.125x represents the percent (in decimal form) of battery power remaining on a tablet x hours after it is turned on. Which device stays on longer?
By finding the x-intercepts of the two linear functions, we can see that the laptop can stay on for 5 hours and the tablet for 6 hours, so the tablet can stay on for longer.
Which device stays on longer?We know that g(x) shows the percent of battery power on a laptop, and on the graph we can see that it becomes zero at x = 5 hours, so the laptop can stay on for 5 hours.
We also know that linear function f(x) shows the battery of a tablet, the function is:
f(x) = 0.75 - 0.125*x
The value will be zero when the tablet runs out of battery, so we can solve:
0 = 0.75 - 0.125*x
0.125*x = 0.75
x = 0.75/0.125= 6
So the tablet can stay on for 6 hours, we conclude that the tablet can stay on longer.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
