The formula for calculating standard deviation of a sample is expressed as
Standard deviation = √Σ(x - mean)^2/(n - 1)
where
n = the number of samples = 5
Mean = (17 + 20 + 44 + 39 + 40)/5
Mean = 32
Σ(x - mean)^2 = (17 - 32)^2 + (20 - 32)^2 + (44 - 32)^2 + (39 - 32)^2 + (40 - 32)^2 = 626
n - 1 = 5 - 1 = 4
Standard deviation = √(626/4)
Standard deviation = 12.51
"If you build it,they will come"-Kevin Costner from the film, Field of Dreams
1.Write the converse of this statement
2.Write the inverse of this statement
3.Write the contrapositive of this statement
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
What is the conditional statement?The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).
The given conditional statement is "If you build it, they will come"
The converse of the conditional statement is “If they will come then you build it”.
The inverse of the conditional statement is “If you do not build it then they will not come.”
The contrapositive of the conditional statement is “If they will not come then you not build it”.
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Twice a number plus 3 is the same as the number minus 6 find the number it is a linear equation
I need help with this math problem
Answer:
The number is -9
Step-by-step explanation:
Let x be the number we do not know.
The you would set up the equation like
2x + 3 = x - 6
+6
2x+9 = x
-2x
9 = -1 x
/-1
=-9
To check math:
2(-9) + 3 = -9 - 6
-18 + 3 = -15
-9 - 6 = -15
please PLEASE HELP ME MY MOM IS SO UPSET I HAVE AN F
Answer:
x=60, y=30
Step-by-step explanation:
30+x=90, y+x=90. process of elimination
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.505 a
$2.509 b
$2.498 c
$2.493 d
Answer:
C. $2.498
Step-by-step explanation:
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.505 a
$2.509 b
$2.498 c
$2.493 d
Are lines q and n perpendicular? Explain your reasoning.
Yes, are lines q and n perpendicular. Because Perpendicular lines are those that intersect at a right angle (90 degrees).
What is meant by perpendicular?Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol, can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes. Perpendicular lines are two distinct lines that intersect at 90°, or a right angle. When two lines intersect at a right angle, or 90 degrees, perpendicular lines are formed. Perpendicularity refers to this property of lines. Perpendicular lines are defined as lines that intersect at a right angle. As an example, consider the steps of a straight ladder or the opposite sides of a rectangle. The symbol used to represent two perpendicular lines: ⊥ ⊥To learn more about perpendicular, refer to:
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You pay a babysitter $30 each week for driving your children to school and $10 for each hour she watches them. Write a function in x that represents the total amount you pay your babysitter in a week. Be sure to indicate any domain restrictions.
The function x = 10y + 30 where x is the total amount paid and y is the number of hours.
The babysitter is paid $30 each week for driving the children to school and $10 for each hour she watches them.
Let x represent the total amount paid to the babysitter in a week.
Let y be the number of hours the babysitter watched the kids.
The function that represents the situation will be:
The total amount paid = Pay each week + Pay for the number of hours the babysitter watched the kids.
x = 30 + 10 × y
x = 10y + 30
The function in x that represents the total amount you paid for your babysitter in a week is x = 10y + 30.
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A book store manager observed that the number of calendars sold seems to vary inversely as the price per calendar. if the store sells 630 calendars per week when the price is $14.30, how many does he expect to sell if raises the price to $17.80
A book store manager observed that if raised the price to $17.80 will be;
⇒ 506
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Store sells 630 calendars in a week for the price is $14.30.
Now,
Since, Store sells 630 calendars in a week for the price is $14.30.
So, We can formulate;
Number of sell if raises the price is $17.80 is;
= 630 x $14.30 / $17.80
Multiply the number, we get;
= $9,009 / $17.80
Divide the numbers, we get;
= 506
Therefore,
A book store manager observed that if raised the price to $17.80 will be;
⇒ 506
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At a storage warehouse, each crate weighs 1.5 x 10² pounds.
If there are 6 x 10³ crates, what is their combined weight?
pounds
Answer using whole numbers such as 230000 or use scientific
notation in the format 2.3*10^5.
Answer:
[tex]9 \times {10}^{5} [/tex]
Step-by-step explanation:
[tex](1.5 \times {10}^{2} )(6 \times {10}^{3} )[/tex]
[tex](1.5 \times 6)( {10}^{2} \times {10}^{3} )[/tex]
[tex]9 \times {10}^{5} [/tex]
Find values for p and q so that the equation has infinitely many solutions.
px+4 = –12x+q
The values of p and q so that the equations has infinitely many solutions are -12 and 4 respectively.
Given, we have equation px+4=-12x+q
To find the values of p and q we just need to equate coefficients of corresponding terms.
To find q, substitute p = -12
-12x+4=-12x+q
-12x+12x+4 = q
q = 4
hence when q = 4, then
px+4 = -12x+4
px+4 - 4 = -12x
px = -12x
p = -12
Therefore, for infinitely many solutions of the equation, the values of p and q are -12 and 4 respectively.
Hence tha values of p and q are -12 and 4.
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Please help me on these two questions!! ( will mark brainliest )
2. ∠L and ∠Z are vertical angles with m∠L = 2x + 9 and m∠Z = 3x − 14.
m∠L= ____ degrees
3. ∠Y and ∠J are vertical angles with m∠Y = 7x + 12 and m∠J = 10x − 9.
m∠J = ____ degrees
The value of m∠L is 55 degrees and the value of m∠J is 61 degrees.
As we know, vertical angles are the opposite angles made by the intersection of the two lines, vertical angles are equal in magnitude,
So, we can write,
1. ∠L and ∠Z are vertical angles,
∠L = 2x + 9 and,
∠Z = 3x - 14.
Because both are vertical angles, so,
∠L = ∠Z
2x + 9 = 3x - 14
Solving further,
3x - 2x = 9 + 14
x = 23
So, the value of ∠L is,
= 2(23)+9
= 46+9
= 55°
The value of angle ∠L is 55°,
2. As, ∠Y and ∠J are vertical angles, so they are equal,
∠Y = 7x + 12
∠J = 10x - 9
∠Y = ∠J
7x + 12 = 10x - 9
Solving further,
3x = 21
x = 7
So, the value of ∠J is,
= 10(7) - 9
= 70 - 9
= 61°
The value of ∠J is 61°.
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SCIENITIFIC NOTATION!!
In the given equations using scientific notations the fourth one is true.
Given,
There are some equations with scientific notations;
We have to solve the equations and find them true or false.
4.25 × 10⁶ = 425,000This is false. Because,
4.25 × 10⁶ = 4250000
6.38 × 10⁹ = 638, 000, 000, 000This is false. Because,
6.38 × 10⁹ = 6380000000
5.11 × 10⁻² = 511This is false. Because,
5.11 × 10⁻² = 0.0511
2.79 × 10⁻⁴ = 0.000279This is true.
That is,
In the given equations using scientific notations the fourth one is true.
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what is three fourths plus two fifths
Answer:
the sum of 3/4 +2/5 is 1.15
Answer:
Step-by-step explanation:
4.4
THIS IS URGENT ILL BRAINLIST WHOEVER ANSWER IT!!!!!!
Calculate the x and y intercept for each of these linear rules.
1) -x -y = 5
Find the rule for the line that passes through each of these pairs of points. Use : y - y1 = m(x - x1).
1) (4, -8) and (0,4)
2) (3,1) and (-3, -1)
Part 1: x and y intercept are (-5, 0) and (0, -5).
Part 2: Rule for the line is to find the slope.
What is defined as the x and y intercept?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis where a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope as well as c is the y-intercept.For the given question;
Part 1: x and y intercept.
The equation of the line is -x -y = 5.
For x intercept, put y = 0.
-x -0 = 5.
x = -5
x intercept - (-5, 0)
For y intercept, put x = 0.
-0 -y = 5.
y = -5
y intercept - (0, -5)
Part 2: Rule for the line,
The equation of the line is given as;
y - y1 = m(x - x1)
Intercept point are given as
(4, -8) and (0,4)(3,1) and (-3, -1)For finding the equation of the line, find the slope using the given points and put in the equation.
The formula of slope is;
slope = m = (y2 - y1)/(x2 - x1)
Thus, slope should be know to form the equation of the line.
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Half of the sum of 17 and 9 anyone??
MATHEMATICALLY WE WRITE THIS AS
[tex] = \frac{1}{2} (17 + 9) \\ = \frac{1}{2} (26) \\ = 13[/tex]
THE ANSWER IS 13
GOODLUCK
Remy has a lending business. last month, she lent a total amount of 1,248,500. this month, she was able to collect only 878,230. how much collectible is left
The most appropriate choice for subtraction will be given by -
Remy will still get 370270
What is subtraction?
At first it is important to know about integers.
Integers are numbers which have no fractional part.
Integers can be positive, negative and zero is also an integer.
Now, to find the difference between two integers, subtraction is used.
The larger number is called minuend and the smaller number is called subtrehend.
Here,
Amount of money Remy lent = 1248500
Amount of money Remy could able to collect = 878230
Amount of money Remy will get = 1248500 - 878230
= 370270
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Determine which equation is false, based on the solution set S:{3}.
2t = 6
2(2c + 1) = 14
4m + 5 = 12
8 = 3p − 1
Answer:
4m+5=12
Step-by-step explanation:
4(3)+5#12
right hand side is not equal to left hand side
Answer: 4m+5=12
Step-by-step explanation:
Solve for x if 2(5x + 2)² = 48.
Ox= -2+2√24 and x = -2-2√24
5
5
O x = −2+2√24 and x = -2-2√24
2
2
Ox= -2+2√6 and x = -2-2√6
5
5
Ox= -2+2√5 and x = -2-2√6
2
2
The value after simplification for the variable 'x' is: x = (2√6 -2)/5
What is simplification?
In mathematics, the term simplification is used to solve complicated equation. Basically, it convert the complicated terms into easy expression to make the calculation simple. The method is applicable in almost the equation based problems.
According to the question, the given expression for the simplification is as follows:
Required expression: 2(5x + 2)² = 48
(5x + 2)² = 24 ⇒ (5x + 2) = √24 = 2√6
⇒ (5x) = 2√6 - 2
⇒ x = (2√6 -2)/5
Hence, the value for the variable 'x' is: x = (2√6 -2)/5
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what is 2x + 5 because i do not know it
Point X between 0 and 1 on a number line. Point Y is between -2 and -3 on a number line. Which point could represent the product of X and Y?
Answer:
(0.5)(-2.5) = -1.25
Step-by-step explanation:
There are lots of answers. I could choose the number .5 which is between 0 and 1 and I could choice -2.5 which is between -2 and -3.
Multiply together
(.5)(-2.5) = -1.25
On October 15, WTI agreed to teach a four-month class (beginning immediately) for an executive with payment due at the end of the class. At December 31, $7,500 of the tuition revenue has been earned by WTI
The recording of the transaction in WTI's general journal at December 31, is as follows:
General JournalDate Account Titles Debit Credit
Dec. 31 Accounts receivable $7,500
Tuition fees earned $7,500
To record the tuition revenue earned.
What is the general journal?The general journal is the first accounting record for business transactions.
The transactions are recorded chronologically, that is according to the date they occur.
The general journal identifies the two or more accounts involved in any business transaction, and pinpoints the accounts to be debited and the ones to be credited, in accordance with the double-entry system of accounting.
Transaction Analysis:Dec. 31 Accounts receivable $7,500 Tuition fees earned $7,500
Thus, the earned revenue has been recorded in the general journal.
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Question Completion:Record the transaction in the general journal.
Which option is cheaper per ounce: one 30-ounce cup for $1.95 or two 12-ounce cups for $0.84 each?
The option that is cheaper per ounce is = two 12-ounce cups for $0.84.
What is ounce measurement?Ounce measurement is defined as the measurement used for the weight of an object which is equivalent to 31.1 grams per ounce of the object.
From the first option,30 ounce cup = $1.95
Therefore, 1 ounce = 1.95/30
=$0.065
From the second option,2× 12 ounce cup = $0.84
24 ounce cup = 0.84
Therefore 1 ounce = 0.84/24
= $0.035
Therefore, the second option which is two 12-ounce cups for $0.84, is cheaper because 1 ounce is equivalent to $0.035.
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A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the
data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the
equation ŷ= 18x + 25.
Identify and interpret the slope in this scenario.
O The slope is 18. Starting at $25, the cost will increase by $18 per month.
O The slope is 18. Starting at $25, the cost will decrease by $18 per month.
O The slope is 25. Starting at $18, the cost will increase by $25 per month.
O The slope is 25. Starting at $18, the cost will decrease by $25 per month.
A
y=mx+b
m is the slope
b the point where y is at when x is on 0 so yourpoint plot is (0,25) ( 1,38) ect
Answer:
A is the answer Slope is 18 and starts at 25 will increase by 18 every month.
Step-by-step explanation:
como se escribe 9010 en anotación científica
Where should you plot the ordered pair (3,4) in relation to the origin?
CLEAR CHECK
4 spaces to the right and 3 spaces up
3 spaces to the right and 4 spaces up
3 spaces to the right, 4 times
3 spaces up and 4 spaces to the right
The ordered pair (3,4) in relation to origin is plotted as:
3 spaces to the right and 4 spaces up
When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).
In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).
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You are a member of your local movie theaters club. every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you can get a free movie pass. currently you have 40 advantage points. Write an equation to model the number of movies (m) you have to watch before you earn a free movie pass. solve the equation and show your work.
Answer:
30 movies.
Step-by-step explanation:
Hey! Let's help you with your question here!
Alright, so here's what we know. When we go see a movie, we earn 2 advantage points. We need 100 points to get a free movie pass and we currently have 40 advantage points.
When writing equations like this, we need to know what the fixed values and the variable values are. The variable values are subject to change, where the fixed values, we cannot change.
In this question here, we have 40 advantage points and this is already given to us, so it cannot change. This is our fixed value. What we can change is how many times we can see a movie after that, which will earn us 2 advantage points each time. This will be our variable value.
Now that we've determined our values, let's create the formula! I will be using y to represent the total amount of points and m to represent the amount of movies seen. So, we write it as such:
[tex]y=2(m)+40[/tex]
We got our formula! Now we have to figure out how many more movies we need to watch to get our free movie pass. Since we know that is the total amount of points that we need to get, we can substitute 100 into y to solve for m which is the number of movies! It would look like this:
[tex]100=2(m)+40[/tex]
[tex]60=2(m)[/tex] - We move 40 over to the left side and subtracted 100 by 40.
[tex]\frac{60}{2}=\frac{2(m)}{2}[/tex] - We divide both sides by 2 to get rid of the 2 in front of the m.
[tex]30=m[/tex]
And there we have it! We would need to see 30 movies in order to get our free movie pass! You can double check this by taking [tex]y=2(m)+40[/tex] and substitute m with 30 and find y.
Part A What is the first missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
Part B What is the second missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
Part C What is the third missing reason? (1 point)
-Distributive Property
-Multiplication Property of Equality
-Addition Property of Equality
-Substitution Property of Equality
The missing reasons in each of the steps involved in solving the one-variable equation are as follows;
Part A; Multiplication property of equality.Part B; Distributive property.Part C; Addition property of equality.Which reasons are missing in each of the given steps in the task content?It follows from the task content that the steps which are missing be determined.
Part A; we have;
2 { (1/2)x - 5} = 20
It follows that the expression above is derived by multiplying both sides of the equality by 2. Hence, the missing reason is; The multiplication property of equality.
Part B; Since the equation; 2 { (1/2)x - 5} = 20 is rewritten as; x - 10 = 20.
It follows that each term in the parentheses is multiplied by 2 and this concept is best described by the distributive property.
Part C; Finally, 10 is added to each side of.the equality; x - 10 = 20 which results in; x = 30.
The scenario above is best modelled by the addition property of equality.
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13. Throughout the season, a baseball team won 130 games and lost 90 games. What percent of the totalgames were won? Round to the nearest percent
SOLUTION
The team won 130 games and lost 90 games. This means that the total games played is
[tex]\begin{gathered} 130+90 \\ =220 \end{gathered}[/tex]Percentage of games won becomes
[tex]\%\text{ of game won =}\frac{\text{number of games won }}{\text{ number of games played}}\times\frac{100}{1}[/tex]So, we have
[tex]\begin{gathered} \%\text{ of game won =}\frac{\text{1}30}{\text{2}20}\times\frac{100}{1} \\ =\frac{13}{22}\times100 \\ =59.090909 \end{gathered}[/tex]Hence the answer is 59%
If θ is an angle in standard position and its terminal side passes through the point (15,8), find the exact value of secθ in simplest radical form
The exact value of the trigonometric function sec θ is 17/15.
When a number or algebraic expression is beneath a radical, the form is referred to as being in radical form. However, by rearranging a number or algebraic expression in radical form into what is known as the simplest radical form, we can improve that.
The angle θ in standard position and the terminal side passes through the point ( 15, 8 ).
So, we have x = 15 and y = 8 which is in the first quadrant.
Therefore,
r² = x² + y²
r² = ( 15 )² + ( 8 )²
r² = 225 + 64
r² = 289
r = 17
Then,
sec θ = 1/cosθ
sec θ = [ 1/(x/r) ]
sec θ = r/x
sec θ = 17/15
sec θ = 1.1333
The value of the trigonometric function sec θ = 17/15.
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Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 35m = 300 45.25m 250.5 â€" 35m = 300 â€" 45.25m 250.5m â€" 35 = 300m â€" 45.25 250.5m 35 = 300m 45.25
The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.
Let m be the number of months.
It is given that:
The international Business club starts with $ 250.50 in their account.
and each month they spent $ 35 on activities.
This means that after m months the total amount left in the bank account is:
250.20-35 m
The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.
This means that the amount left in the account after m months is:
300-45.25m
Now, the equation that represents same amount of money in both the accounts is:
250.50-35m=300-42.25m
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Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing small tubes of toothpaste. 2, 1, 3, 4 1, 2, 3, 4 4, 3, 1, 2 2, 1, 4, 3
In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2
What is the formula for comparative advantage?We can calculate the comparative advantage with the formula;
CA = rate of producing large tubes/rate of producing small tube
For 1 Sparkling:
CA = 100/200
CA = 0.5
For 2 Bright White:
CA = 100/250
CA = 0.4
For 3 Fresh:
CA = 200/250
CA = 0.8
For 4 Mint:
CA = 150/150
CA = 1
Therefore, In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2
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Answer:
C or option 3
Step-by-step explanation:
4,3,1,2