Standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
As given in the question,
Given set of data is equal to :
{ 6,7,8,9,10}
[tex]x_{i}[/tex] = { 6,7,8,9,10}
Here total number of observation 'N' is equal to 5.
Mean [tex]\bar{x}[/tex] = ∑x / n
= ( 6+ 7+ 8 + 9 + 10 ) / 5
= 40 /5
= 8
[tex]\sum (x_{i} -\bar{x})^{2}[/tex] = ( 6- 8)² + (7-8)² + (8 - 8)²+ ( 9 -8)² + (10 - 8)²
= 4 + 1+ 0 + 1+ 4
= 10
Standard deviation = [tex]\sqrt{ \frac{\sum (x_{i} -\bar{x})^{2}}{N}[/tex]
= √10/5
= √2
Therefore, standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.
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Keystone Question: A lube gun dispenses the same amount of oil each time
it is used. The equation below shows the relationship between the number
of times (x) that oil is dispensed and the number of gallons of oil (y)
remaining in the gun. y = (-0.03125)x + 6 How many gallons of oil are in
the gun when it is full?
The amount of gallons of oil that are in the gun when it is full is 6 gallons , the correct option is (c) .
In the question ,
it is given that
A lube gun dispenses the same amount of oil each time , and
the equation is y = (-0.03125)x + 6
where , x is the number of times the oil is dispensed and
y is the number of gallons of oil remaining in the gun ,
when the gun is full , the number of times oil dispensed will be zero .
that is x = 0 ,
Substituting x = 0 in the given equation ,
we get ,
y = (-0.03125)(0) + 6
y = 0 + 6
y = 6
Therefore , The amount of gallons of oil that are in the gun when it is full is 6 gallons .
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ABC right angled triangle In B whose AB= 6cm BC= 8cm find the hypothenuse AC
Answer:
10
Step-by-step explanation:
y=5x+2
4x−y=0
Is (2,12)(2,12)left parenthesis, 2, comma, 12, right parenthesis a solution of the system?
The solution to the given system of linear equations is x = -2 and y = -8. That is, (-2, -8).
Solving system of linear equationsFrom the question, we are to determine the solution to the given system of linear equations.
The given system of linear equations is
y = 5x + 2 ---------- (1)
4x - y = 0 ---------- (2)
Substitute equation (1) into equation (2)
4x - y = 0
4x - (5x + 2) = 0
4x - 5x -2 = 0
-x -2 = 0
-2 = x
x = -2
Substitute the value of x into equation (1)
y = 5x+ 2
y = 5(-2) + 2
y = -10 + 2
y = -8
Hence, the solution is x = -2 and y = -8
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for breakfast you eat a bowl of oatmeal and 1/4 cup of added raisins, for lunch, a turkey sandwich and a glass of fresh orange juice. how many servings of fruit and cereal have you had?
For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.
For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.
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wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79). determine the t test statistic for the bank's claim that wait times are not longer than five minutes.
The t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.
T - test statistic
T test statistic refer an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related.
Given,
Wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).
Here we need to determine the t test statistic for the bank's claim that wait times are not longer than five minutes.
In order to find the t test statistic, we have to calculated the average for the given waiting time,
Here the given wait times are:
(4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).
In this list there are 15 members timings are presented.
Therefore, the average is calculated as,
=> (4.21 + 5.55 + 3.02 + 5.13 + 4.77 + 2.34 + 3.54 + 3.20 + 4.50 + 6.10 + 0.38 + 5.12 + 6.46 + 6.1 + 3.79) /15
=> 64.3/15
=> 4.29.
Therefore, the t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.
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What is the product of 18.5 • 0.31?
0.5735
5.730
5.735
57.35
Answer:
The answer is C 5.735
Step-by-step explanation:
I hope this helps!
what is the slope of the line that passes through the pair of points (3,8) and (8,5)
Answer:
The slope is -3/5=-0.6
Step-by-step explanation:
Slope: (5-8)/(8-3)= -3/5=-0.6
Answer:
[tex]m=-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Slope
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Step 2: Set up equation and solve for m
y₂ = 5y₁ = 8x₂ = 8x₁ = 3[tex]m=\frac{5-8}{8-3}=\frac{-3}{5}[/tex]Negative ten is no less than two times a number plus 14
The expression is -10 > 2x+ 14.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Negative ten is no less than two times a number plus 14
let the number x
so, two times a number plus 14
= 2x+ 14
and, Negative ten is no less than two times a number plus 14
-10 > 2x+ 14
hence, the expression is -10 > 2x+ 14.
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True or false :If an integer is negative, its absolute value is also its additive inverse.
The statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
In this question, we have been given a statement 'If an integer is negative, its absolute value is also its additive inverse.'
We know that for any non zero real number 'm', the additive inverse is '-m'
as m + (-m) = 0
We know that the absolute value of any non-zero real number is always positive.
Consider a negative integer -p.
The absolute value of -p is |-p| = p
We can observe that -p + p = 0
-p + |-p| = 0
Therefore, the statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
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Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $5.60 per pound, and type B coffee costs $4.20 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $637.00. How many pounds of type A coffee were used?
Using system of equations to solve the problem, the coffee shop made use of a total of 91 pounds of blend A coffee for that month.
System Of EquationA system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
The equations in the system can be linear or non-linear.
In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Let;
x = Blend Ay = Blend B5.60x + 4.20y = 637... eq(i)
x = 3y ... eq(ii)
Solving equation (i) and (ii)
x = 91, y = 91/3
The Coffee shop used 91 pounds of blend A
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I need help with this. I attached a photo. Thanks - Rylee
The quadratic function that produces the area, f(x) = A = x², can be used to complete the table which is presented as follows;
Side length[tex]{}[/tex] 1 2 3 4 5 6
Area[tex]{}[/tex] 1 4 9 16 25 36
What is a quadratic function?A quadratic function is a function which is of the general form;
f(x) = a·x² + b·x + c, where;
a, b, c, are numbers and the value of 'a' is not zero
The side lengths of a square are the same
The area of a square = Length of Side × Length of side
Therefore;
Area of a square = (Side length)²
The quadratic equation that gives the area, A, from a side length, x, is therefore;
A = x²The table in the question can completed using the following calculations
When the side length = 1, The area = 1² = 1
Area = (Side length)²Therefore;
Side length = √(Area)When the area = 4, the side length = √4 = 2
When the area = 9, the side length = √9 = 3
When the side length = 4, the area = 4² = 16
When the area = 25, the side length = √(25) = 5
When the side length = 6, the area = 6² = 36
The completed table is therefore;
Side length[tex]{}[/tex] 1 2 3 4 5 6
Area[tex]{}[/tex] 1 4 9 16 25 36
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A bag of candy has several colors of candy. The ratio of red candies to the other colors of the candies is 2:5. If the bag has 350 candies in it, how many red candies are in the bag?
The number of red candies in the bag is 100 when the ratio of red candies to the other colors of the candies is 2:5 and the bag has 350 candies in it.
What is ratio?
The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent.
A ratio compares two numbers by division. A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake.
It is given that bag of candies has several colored candies. Further, the ratio of red candies to the other colors is 2:5.
Total number of candies in the bag = 350
Number of red candies = [tex]\frac{2}{7}[/tex] × 350 = 2×50 = 100
Number of other colored candies = 350 - 100 = 250
Hence, the number of red candies in the bag is 100.
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2(v + 13) = 14
How do you solve this two step equation?
Answer:
solving for v or your variable
v= -6
Step-by-step explanation:
distribute the 2 outside the parentheses to get: 2v + 26 = 14Then you would solve for your variable in this case, v by subtracting 26 to get 2v = -12then you divide by 2 to get v by itselfgetting:
v = -6
Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to fat that is 5:3:2.
What percent of her diet is the protein?
Answer:
Step-by-step explanation:
33 percent of her diet is the protein
I am in need for answers please!
The y-intercept is y = 10, and that is the initial height of the flower in inches.
And the rate of change between n = 1 and n = 5 is:
R = 0.21
What is the y-intercept?For any function y = f(x), the y-intercept is the value that y takes when we evaluate in x = 0.
In this case, we have the exponential function:
g(n) = 10*(1.02)^n
Evaluating in n = 0 we get:
g(0) = 10*(1.02)^0 = 10*1 = 10
The y-intercept is y = 10, and it means that the initial height of the flower is 10 inches.
Now we want to get the average rate of change on the interval [1, 5].
Remember that for a function f(x) the average rate of change on an interval [a, b] is:
R= [ f(b) - f(a)]/(b - a)
In this case we will have:
R = [ g(5) - g(1)]/(5 - 1) = [g(5) - g(1)]/4
Where:
g(5) = 10*(1.02)^5 =11.041
g(1) = 10*(1.02) = 10.200
Replacing that:
R = [11.041 - 10.200]/4 = 0.21
This means that the plant increases about 0.21 inches per day on these 4 days.
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1. Margo can jump 58 times in 1 minute. About how many times can Margo jump in
5 minutes? (Show your work. Write your final answer on the line.)
2. Write the decimal number that the shaded portion of the model represents on the line.
Answer: 290
Step-by-step explanation:
58 x 5 = 290
Margo jumps 290 times in five minutes
HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
HELP
Answer: 700x+1700
This represents the total amount spent over the x weeks that have gone by.
===========================================
Explanation:
x = number of weeks
700x = amount spent over those x weeks ($700 per week)
700x+1700 = total amount spent when adding on the $1700 tv.
------
An example:
Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.
Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.
I recommend trying out other values of x to get a better idea of what's going on.
Ichiro and Ivo are playing a game called Factor Subtractor. In the game, they each select a number from 11 to 15. For the number that is selected, they write down all of the whole numbers between 1 and their selected number. They then cross out all of the factors of the number they selected. Finally, they add all of the numbers that remain. The person who has the highest total is the winner. Complete parts a to c. Question content area bottom Part 1 a. Ichiro chooses the number 15. What is his score?
Answer:
96
Step-by-Step Explanation:
1, 3, 5 and 15 are the factors of 15.
Find the missing length indicated.
Answer:
5+5=10
Step-by-step explanation:
What is a counterexample for the conjecture? if the area of a rectangle is 80 square units, the perimeter must be greater than 35. 9 units.
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
What is a conjecture?
A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.
The conjecture for the given question is:
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
Greater than → Lesser than or equal to
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92+78x96838-52/2? please help quick!
If Chan throws 20 darts that hit the dart board, how many should land in an odd number?
F. 20
G. 5
H.10
J.12
J.12 is incorrect … PLEASE HELP
Answer: The Answer Would be H because in the 20 darts there are 10 odd numbers 1,3,5,7,9,11,13,15,17,19
Step-by-step explanation: :)
Write the following fractions in ascending order
3/4
1/2
5/8
Answer:
5/8, 3/4, 1/2
Step-by-step explanation:
divide each and find out which one is the smallest to biggest :)
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -1/2x + 6. What is the point slope form of the equation for this line?
The point- slope of equation is y- 8 = -1/2 ( x+ 3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
line that passes through point (-3, 8)
and, line is y= -1/2 x + 6
From above equation the slope of line is -1/2
Now, the point slope form of line
y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])
y- 8 = -1/2 ( x - (-3))
y- 8 = -1/2 ( x+ 3)
Hence, the point- slope of equation is y- 8 = -1/2 ( x+ 3).
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
The option that must be true of triangle RST include:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
How to illustrate the triangle?From the information illustrated in the triangle, R > S + T. It should be noted that based on the information, one angle is more than the sum of the other two angles.
Sum of angles in a triangle = 180°
If an angle is 90°, the sum of the other two angles will be 90°.
Therefore, if R = 120°, it so greater than 90°. The correct options are illustrated above.
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Answer:
A, B, D and E
see picture
Step-by-step explanation:
8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?
If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that, 8 cows can graze a field in 28 days.
Suppose x is the number of days required to graze the same field.
A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,
6:x :: 14:28
x=(28×6) / 14
x=2 × 6
x=12 days
Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
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Hello guys I need help
Answer:
B
Step-by-step explanation:
I jus did this in class becaueyeah dhdjajajakaksksnsnammamanajajajjanKa
Choose the graph of y=|x|+3 by translating the parent function
The graph that indicates the transformation translating of the parent function to get, y = |x| + 3, created with MS Excel is attached
What is the transformation of a function?A function ix transformed when the graph of the function is translated, resized or reflected.
The formula for the transformation of a function, f(x) is y = a·f(b·(x + c)) + d
Where;
a indicates the graph of the function is dilated vertically
b indicates a dilation horizontally
c indicates a translation horizontally
d indicates a vertical translation
The transformation applied to the parent function is the f(x) is an addition of a term, d = 3, which is a vertical translation
In a vertical translation of the form f(x) ± d
When d > 0, the graph of f(x) is moved up d units to get the graph of f(x) + d
When d < 0, the graph of f(x) is moved down d units to get f(x) - d
The graph of y = |x| + 3, obtained from the parent function, y = |x|, by a transformation of d = +3, therefore, the graph of y = |x| is moved up 3 units to get the graph of y = |x| + 3
Please find attached the graph that indicates the translating of the parent function, created with MS Excel.
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please help me I will give you brainiest please
+ 9 = 13
3 = 12
+ 5 − 9 = 0
2 + 5 = 17
5 − 3 = 17
− 3 = 1
7x = 35
[tex]\frac{4x}{4} =4[/tex]
3 + 4 = 15
8 + − 5 = 7
Answer:
Step-by-step explanation:
1 ) + 9 = 13
+ 9 ≠ 13
False
2 ) 3 = 12
3 ≠ 12
False
3 ) + 5 − 9 = 0
-4 ≠ 0
False
4 ) 2 + 5 = 17
7 ≠ 17
False
5 ) 5 − 3 = 17
2 ≠ 17
False
6 ) − 3 = 1
− 3 ≠ 1
False
7 ) 7x = 35
a ) Divide both sides by 7...
[tex]\frac{7x}{7} = \frac{7}{35}[/tex]
[tex]x = 5[/tex]
8 ) [tex]\frac{4x}{4}=\ 4[/tex]
a ) Multiply both sides by 4...
[tex]\frac{4x}{4}=\ 4[/tex]
[tex]\frac{4x}{4}[/tex] × [tex](4)=(4)[/tex] × [tex](4)[/tex]
[tex]4x=16[/tex]
b ) Divide both sides by 4...
[tex]\frac{4x}{4}= \frac{16}{4}[/tex]
[tex]x=4[/tex]
9 ) 3 + 4 = 15
7 ≠ 15
False
10 ) 8 + − 5 = 7
3 ≠ 7
False
Hope this helps! :)
A lab technician is dividing a cell that has a diameter of 4. 32×10−4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cell?.
Answer:
38
Step-by-step explanation:
32 + 10 = 42 subtract 42-4 = 38