Hello,
I hope you and your family are doing well!
The classmate should bike for 50 minutes at 11 mph and at 150 minutes for 15 mph. (See explanation below)
First, let's find how many calories your classmate burns while biking at 11 mph:
calories burned = time * rate of calorie burn
Since your classmate bikes at 11 mph for 50 minutes, the number of calories he burns at this speed is:
calories burned = 50 minutes * 5 calories/minute = 250 calories
Now, let's find how many calories your classmate burns while biking at 15 mph:
calories burned = 400 calories - 250 calories = 150 calories
Since your classmate burns 1 calorie per minute while biking at 15 mph, he needs to bike at this speed for 150 minutes to burn the remaining calories:
time = calories burned / rate of calorie burn
time = 150 calories / 1 calorie/minute = 150 minutes
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Happy Holidays!
What is the freezing point, in C, of a 2.75 m solution of C8H18 in benzene?
The freezing point of the 2.75 m solution of octane in benzene is -8.56 °C.
The freezing point of a solution is the temperature at which the solution becomes a solid. The freezing point of a solution is lower than the freezing point of the pure solvent because the solute particles interfere with the movement of the solvent molecules, which slows down the freezing process.
To determine the freezing point of a solution, we can use the freezing point depression equation:
ΔTf = Kf x molality
where ΔTf is the change in freezing point, Kf is the freezing point depression constant for the solvent, and molality is the concentration of the solute in the solution expressed in moles of solute per kilogram of solvent.
To find the freezing point of a 2.75 m solution of C8H18 (octane) in benzene, we need to know the freezing point depression constant for benzene, which is 5.12 °C/m. We can then use the equation above to calculate the change in freezing point:
ΔTf = 5.12 °C/m x 2.75 m = 14.06 °C
To find the freezing point of the solution, we need to subtract the change in freezing point from the freezing point of the pure solvent. The freezing point of pure benzene is 5.5 °C, so the freezing point of the 2.75 m solution of octane in benzene is:
5.5 °C - 14.06 °C = -8.56 °C
This means that the freezing point of the 2.75 m solution of octane in benzene is -8.56 °C. At this temperature, the solution will become a solid.
you are designing a rectangular wooden box with width 4 inches greater than its height, and length 3 times its height. the box has wood that is 1 inch thick on each side of the four sides on the top and bottom. a. write a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.
O (x) = [tex]3x^{3} + 12x^{2}[/tex] is a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box
what is polynomial function ?Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable)
calculation
outside length are height = x
width = x +4 , length = 3x
volume = l *b * h
o(x) = 3x ( x+ 4 )x
= 3[tex]x^{2}[/tex](x+4 )
= O (x) = [tex]3x^{3} + 12x^{2}[/tex]
there is 1 inch of wood , so lengths of inner sides 2 inch less than outer sides as 1 inch from reduced
length = 3x-2
width = x +4-2 = x+2
height = x -2
volume = l*b*h
=[tex]3x^{3} - 2x^{2} - 12x + 8[/tex]
w(x) = [tex]14(6^{2}) + 12(6) -8\\ 504 + 72 -8 \\568inch^{3}[/tex]
so volume of wood = [tex]568inch^{3}[/tex] for x =6
O (x) = [tex]3x^{3} + 12x^{2}[/tex] is a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.
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PLEASE HELP !!!!!! The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by 5. Suppose you are 17 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder.
Answer:
Step-by-step explanation:
12.5663706144
subtract and reduce to lowest terms
Answer:
Below
Step-by-step explanation:
To add or subtract fractions ( or numbers with fractions in them) you HAVE to put the fractions into a common denominator form .....
Common denominator for 5 and 7 is 35
3 3/7 = 120/35
2 1/5 = 77/35
120/35 - 77/35 = ( 120 - 77) / 35 = 43/35 = 1 8/35
The cost of a plumber consists of two parts: the fixed costs and the hourly rate.
One piece of work takes the plumber 5 hours and costs £155.
Another piece of work takes the plumber 8 hours and costs £230.
(a) i) What is the fixed cost of the plumber?
ii) What is the hourly rate for the plumber?
The fixed cost of the plumber is £30 and the hourly rate for the plumber is £25.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the fixed cost of a plumber is y.
Let the number of hours of work done be x.
As per the first condition, that one piece of work takes the plumber 5 hours and costs £155.
Then, the equation according to the statement will be,
y + 5x = £155 (i)
In the second condition, another piece of work takes the plumber 8 hours and costs £230.
Then, the equation according to the statement will be,
y + 8x = £230 (ii)
Now, subtract equation (ii) from the equation for the value of x,
y + 5x = £155
y + 8x = £230
-3x = -75
x = £25
Put x = £25 in equation (i)
y + 5x = £155
y + 5(25) = 155
y = 155 - 125
y = £30.
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HW9.4. Algebraic and geometric multiplicity of eigenvalues Observe that -1 is an eigenvalue of A= [-1.00 0.00 1.00 1.00 0.00 0.00 0.00 1.00 -2.00 Determine the algebraic and geometric multiplicity of this eigenvalue of A. Algebraic multiplicity integer Geometric multiplicity integer
The value of algebraic multiplicity will be 1 and geometric multiplicity will be 1
[tex]$$\begin{aligned}& A=\left[\begin{array}{ccc}3 & -2 & 0 \\-2 & 4 & 4 \\1 & 0 & 2\end{array}\right] \\& \Rightarrow A=\left[\begin{array}{ccc}-1 & 1 & 0 \\0 & 0 & 0 \\1 & 1 & -2\end{array}\right]\end{aligned}$$[/tex]
[tex]$$Det(A-\lambda I) = Det A=\left[\begin{array}{ccc}(-1-\lambda) & 1 & 0 \\0 & -\lambda & 0 \\1 & 1 & (-2-\lambda)\end{array}\right]$$[/tex]
[tex]$$-(1+\lambda)\left|\begin{array}{cc}-\lambda & 0 \\1 & -2-\lambda\end{array}\right|-1\left|\begin{array}{cc}0 & 0 \\1 & -2-\lambda\end{array}\right|$$[/tex]
[tex]$$\begin{aligned}& =-(1+\lambda)\left(\lambda^2+2 \lambda\right) . \\& =-\lambda(1+\lambda)(\lambda+2) .\end{aligned}$$[/tex]
So, for [tex]\lambda=-1[/tex], eigen values are [tex]\lambda[/tex]=0,-1,-2.
Hence, the value of algebraic multiplicity=1
[tex]AV=\lambda v \\& \Rightarrow A V=-V\\ \Rightarrow-V_1+V_2=-V_1\\ \Rightarrow V_2=0 \\& v_1+v_2-2 v_3=-v_3\\ \Rightarrow v_1+v_2-v_3=0\\ \Rightarrow v_1=v_3 \\[/tex]
[tex]$$\begin{aligned}& \Rightarrow \quad\left[\begin{array}{l}v_1 \\0 \\v_1\end{array}\right] \\& =v_1\left[\begin{array}{l}1 \\0 \\1\end{array}\right]\end{aligned}$$[/tex]
So, the value of eigen vectors are: [tex]& =\left[\begin{array}{l}1 \\ 0 \\ 1\end{array}\right] \\[/tex]
And the value of geometric multiplicity =1
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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e−7t cos(6t), y = e−7t sin(6t), z = e−7t; (1, 0, 1)
The parametric equations for the tangent line to the given curve is x = 1-7t , y = 6t and z = 1-7t .
In the question ,
it is given that ,
x = [tex]e^{-7t}[/tex]cos(6t), y = [tex]e^{-7t}[/tex]sin(6t), z = [tex]e^{-7t}[/tex] ,
So , the parametric equation of the curve will be ,
r(t) = [ [tex]e^{-7t}[/tex]cos(6t), [tex]e^{-7t}[/tex]sin(6t), [tex]e^{-7t}[/tex] ]
the point given as (1,0,1) implies that ,
[tex]e^{-7t}[/tex]cos(6t) = 1 , [tex]e^{-7t}[/tex] = 0 , sin(6t), [tex]e^{-7t}[/tex] = 1 which implies that ⇒ t = 0 .
So , the point (1,0,1) is the point r(0) .
Now , differentiating x , y and z with respect to t ,
we get ,
r'(t) = [ [tex]-e^{-7t}[/tex][7cos(6t) + 6sin(6t)], [tex]e^{-7t}[/tex][6cos(6t) - 7sin(6t)], [tex]-7e^{-7t}[/tex] ]
substituting , t = 0,
we get ,
r'(0) = [-7 , 6 , -7]
the equation of the tangent line passing through the point (1,0,1) and parallel to the tangent vector r'(0) is
r(t) = r(0) + tr'(0) = (1,0,1) + t(-7,6,-7)
So , r(t) = [ 1 - 7t , 6t , 1 - 7t ]
So , x = 1 - 7t , y = 6t and z = 1 - 7t .
Therefore , the required parametric equations are x = 1 - 7t , y = 6t and z = 1 - 7t .
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Find the terminal point on the unit circle determined by 11π/6 radians. Use exact values, not decimal approximations.
The terminal point on the unit circle use exact values are,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.
According to the question, it is provided that,
θ = 11π/6 radians
Now,
x = 1.cos(11π/6)
x = cos(11π/6)
x = cos(330°)
x = [tex]\sqrt{\frac{3}{2} }[/tex]
y = 1.sin(11π/6)
y = sin(11π/6)
y = -0.5
y = - [tex]\frac{1}{2}[/tex]
Then,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
These two represents the terminal points
To find the terminal positions, we merely used the aforementioned equations, equated these two equations, and concluded that the same should be taken into consideration.
It could be figure out by using the x and y points
Therefore
The terminal point on the unit circle use exact values are,
( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )
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URGENT! Please help with the image attached!
The missing angle in the parallel lines is as follows;
m∠STW = 125 degreesHow to find the angles when parallel line are cut by a transversal?When parallel lines are cut by a transversal, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let find angle m∠STW .
VX and SU are parallel lines. RY is the transversal line.
Hence,
m∠VWY = 125 degrees
m∠VWY = m∠STW (corresponding angles)
Corresponding angles are congruent to each other.
Therefore.
m∠STW = 125 degrees
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Choose the number that is greater than:
4.526 x 10^6
OA) 5.79 x 105
OB) 9.99 x 105
OC) 4.123 x 106
OD) 55,264,900
Answer: C) 4.123 x 106
Step-by-step explanation:
Let Y1 and Y2 be independent random variables, both uniformly distributed on (0, 1). Find the probability density function for U = Y1Y2.
The probability density function as calculated from the given data is fₙ (u)=−ln(u).
Y1 and Y2 are independent random variables and both have uniform distribution over the interval (0,1)(0,1).
We need to find out the density function of U = Y1Y2 using the method of transformations.
Density function of Y1
= 0 or 1
Density function of Y2
= 0 or 1
Therefore joint density function is,
( 0 , 1) where, 0≤y 1 ≤1,0≤y 2 ≤1
There are 3 steps to find joint density function of Y and U using methods of transformations
Hence, the required probability density function is :
fₙ (u)=−ln(u)
An independent random variable is one that has no effect on the other random variables in your experiment. In other words, it has no bearing on the likelihood of another occurrence occurring.
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A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model:
Salary = β0 +β1 Service + ε. The following ANOVA table below shows a portion of the regression results.
df SS MS F
Regression 1 555,420 555,420 7.64
Residual 27 1,962,873 72,699 Total 28 2,518,293 Coefficients Standard Error t-stat p-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
Which of the following is the monthly salary of an employee that has worked for 48 months at the bank?
rev: 11_17_2017_QC_CS-109762
$441.
$785.
$1,050.
$1,226.
The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.
The given table is:
Df SS MS F
Regression 1 555,420 555,420 7.64
Residual 27 1,962,873 72,699
Total 28 2,518,293
Coefficients Standard Error t-stat p-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
We have to find the monthly salary of an employee that has worked for 48 months at the bank.
Salary = β(0)+ β(1) Service
y = β(0)+ β(1)x
where, Service = x(in months)
Service = y(in $)
From the table
y = 784.92+9.19x
If x=48 months
Then, y = 784.92+9.19(48)
y = 784.92+441.12
y = 1226.04
Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.
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A line passes through the points (– 7,– 2) and (– 14,– 7). Which points lie on the same line? Select all that apply.
Answer:
A line is defined by two points, and any other point that lies on the same line as those two points will also be on the same line. Therefore, to find the points that lie on the same line as (– 7,– 2) and (– 14,– 7), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
The slope of a line is calculated as the change in y-values divided by the change in x-values between two points on the line. In this case, the slope is (–7 – (–2))/(–14 – (–7)) = –5/–7 = 5/7.
The y-intercept is the point where the line crosses the y-axis, so we can plug in the value of x as 0 to find the y-intercept. Plugging in the values from one of the given points, we get y = (5/7) * (–7) + b = –5 + b, so b = –2.
Therefore, the equation of the line is y = (5/7)x – 2. Any point that satisfies this equation will lie on the same line as (– 7,– 2) and (– 14,– 7).
Some examples of points that lie on this line include (0, –2), (–7, –2), and (–14, –7).
1. Whole milk has 3.25% milk fat in it. If you have 2 cups of milk, how many grams of fat are you
getting? (Remember to convert cups to ml first and get the total amount of milk, or 100%, first)
Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.
What is milk fat?
The percentage of butterfat in milk, as measured by weight, is known as the fat content of milk. To create a range of goods, the fat content, notably of cow's milk, is altered. In order to facilitate instant identification, the milk container is typically marked with the amount of fat present.
Milk is important for the growth of the body. It plays for the growth and development of the body. 100 grams of milk fat has 3.25 % milk fat in it.
100 grams = 3.25 % of milk fat.
10 grams = x
x = 10 * 3.25 / 100
=0.325 %
Milk contains lots of proteins and minerals. It is essential for the growth of the body. It also contains important minerals such as calcium and proteins.
Therefore, Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.
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19.
Which conclusion is not justified by the prior given statements?
A. Given: If a line is vertical, then it has an undefined slope.
Given: Line / is vertical.
Conclusion: Line / has an undefined slope.
B. Given: If a triangle is isosceles, then it has two congruent sides.
Given: If a triangle has two congruent sides, then it has two congruent angles.
Conclusion: If a triangle is isosceles, then it has two congruent angles.
C. Given: If two angles are vertical, then they are congruent angles.
Given: 21 and 22 are vertical angles.
Conclusion: 21 22
D. Given: If Mark goes fishing, then he will buy a new fishing rod.
Given: If Mark goes fishing, then he will need to buy bait.
Conclusion: If Mark buys a new fishing rod, then he will need to buy bait.
Answer: the thing is I don’t know
Step-by-step explanation:
Please help will mark Brainly
Answer:
Below
Step-by-step explanation:
The first set of graphs is the correct one....it shows Y = constant 18
and shows Z as starting at 10 (deposit) THEN INCREASING 2 per hour....
where they cross is 4 hours and charges are the same
GIVING BRAINLIEST
ANSWER 4 X 4 X 8 X 2
Answer:
The answer is 256
Step-by-step explanation:
Answer:
256
Step-by-step explanation:
4 · 4 · 8 · 2 = 256
A solution to an equation is a value that, when substituted for the variable, makes the equation true.x+2=75+2=77=7✓Since 5+2=7 is a true statement, we know that 5is indeed a solution to the equation.
A solution to an equation is a value that, when substituted for the variable, makes the equation true. In the equation x+2=7, the solution is x=5.
This is because if we substitute 5 for x, the equation becomes 5+2=7, which is a true statement. To find this solution, we need to solve the equation by subtracting 2 from both sides, leaving us with x=5. This solution works because it satisfies the equation; when we substitute 5 for x, the equation is true.
In equations, solutions are important because they are the values that make the equation true. Without solutions, equations would remain unsolved and incomplete, which is why it is important to find the solution to an equation.
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The Stock Market Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $7,500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? PLS HELP
$50,700 he make in commission in 2011.
How to calculate the commission?According to the commission rate, a commission is a proportion of all sales. Multiply the commission rate by the total sales to get the commission on a sale. Recall to convert the commission rate from a percent to a decimal first, just as we did for computing the sales tax.%Earns= 13% commission/week
Last week sold = $7,500
In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:
$Earns = 0.13 (decimal form)*$7,500
Earns = $975
Last week, he made $975 in commission.
If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year
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Parallel and Perpendicular lines Block
By observing the figure we can make the pairs as
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
What are opposite angles and Alternate angles?
Opposite angles are angles that are located opposite each other, with respect to a straight line or a transversal. They are also called vertically opposite angles.
Alternate angles are angles that are located on opposite sides of the transversal and on the same side of the straight line or the transversal. They are also called corresponding angles.
In the given figure,
By observing the opposite angles and alternate angles we can fill the blocks,
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
Hence, we have found the opposite angles and alternate angles from the figure.
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Adryanna got a manicure for $35 and a pedicure for $43. If she plans on leaving a 15% tip how much will she pay on total
The total amount that will be paid will be $89.70.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, Adryanna got a manicure for $35 and a pedicure for $43 and she plans on leaving a 15% tip
The total amount that will be paid will be:
= ($35 + $43) + (15% × $78)
= $78 + $11.7
= $89.7
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There are three angles measured in degrees of a triangle where x is the largest angle, y is the middle angle, and z is the smallest
angle
• The measure of the largest angle is 40 degrees less than twice the sum of the measure of the other two angles.
• The measure of the largest angle is twice the smallest angle plus 10 degrees.
• The sum of the angles of a triangle can be written as x + y + z = 180.
What are the other equations that represent this system of equations?
Select each correct answer.
the triangle could represent in a relation as x = 60 - 2(y + z) and x = 2z + 20.
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The following linear equation accurately describes the circumstance where "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles":
x = 60 - 2(y + z) —- (1)
The following linear equation sums up the statement, "The largest angle is twice the smallest angle plus 20 degrees," as it applies to angles:
x = 2z + 20 —- (2)
Hence the triangle could represent in relation as x = 60 - 2(y + z) and x = 2z + 20.
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Graph the system below and write its solution.
x-2 y=2
y={1}/{2} x-3
Note that you can also answer "No solution" or "Infinitely many" solutions.
The required answer for the given system of linear equations is No solution.
What is a system of linear equation?
A system of linear equations comprises two or more linear equations made up of two or more variables so that all equations in the system are considered simultaneously. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation. As a result, we are able to formulate linear equations with n variables.
Solve for the first variable in one of the equations, then substitute the result into the other equation, we will get
No solution
The graph of the given system of linear equations is given below
Hence, the required answer for the given system of linear equations is No solution.
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GIVING BRAINLIEST!!!!!!!
What is the perimeter of rectangle PQRS?
Answer: 20 units
Step-by-step explanation:
Since the rectangle is on the graph, we can directly count the units.
Perimeter is the sum of all sides.
4+4+6+6=20
Describe the slope of the line.
The slope is positive
Find the slope
m=_______
The equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).
To find the slope of the line, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
The line on the graph passes through points (0, 3) & (0, 4).
m = (4-3)/(0-0)
m = 1/0
m = ∞
so, the slope is undefined.
Therefore, the equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.
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Which functions have a vertex with a x-value of 0? Select three options.
Of(x) = |x|
f(x) = x + 3
f(x) = 1x + 31
f(x) = 1x1-6
Of(x) = x + 31-6
The functions that have a vertex at x = 0 are (a) f(x) = |x| and (d) f(x) = |x| - 6
How to determine the function from the vertexFrom the question, we have the following parameters that can be used in our computation:
The absolute functions in the options
As a general rule;
A absolute functions can be represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
A vertex that has x value of 0 means
(h, k) = (0, k)
So, we have
f(x) = a|x - 0| + k
Evaluate
f(x) = a|x| + k
Looking at the options, we have
f(x) = |x| and f(x) = |x| - 6
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In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is which?
133.2
13.32
14.8
30.0
If in an analysis of variance problem involving 3 treatments and 10 observations per treatment, S S E = 399.6. The M S E for this situation is C. 14.8.
How to find the sample variance?We would be making use of this formula to find or determine the MSE which is the variance within the sample.
MSE = S S E / r (c-1)
Where:
MSE represent variance within the sample = ?
SSE represent sum of the squares of error = 399.6
r represent 3 treatment
c represent observation per treatment = 10
Let plug in the formula so as to know the variance within the sample (MSE )
Sample variance ( MSE ) = 399.6 /3 (10 - 1 )
Sample variance ( MSE ) = 399.6 / 3 (9)
Sample variance ( MSE ) = 399.6 / 27
Sample variance ( MSE ) = 14.8
Therefore we can conclude that the correct option is C which is 14.8.
Learn more about variance within the sample here:https://brainly.com/question/28542390
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A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?
Answer:
what we cookin ma boi
Step-by-step explanation:
13.
Graph f(x)=4x(1/2)^x
start by plugging values for x into the function
a) f(1) = 4 (1/2)^1
f(1) = 2
the first coordinate point is (1,2)
b) f(0) = 4(1/2)^0
f(0) = 4
(0,4)
this method will help you find the coordinate points and where to plot.
Katy has 5 white flowers, x red flowers and (2x+1) yellow flowers.
She picks a flower at random.
The probability that it is white is 1/12
Find the probability that it is yellow.
Answer:
5/12
Step-by-step explanation:
Total 12 flowers
5 are white
12-5=7
red + yellow = 7
x+2x+1 = 7
3x+1=7
3x=6
x=2
white : 5
red : 2
yellow : 5
12 flowers in total, 5 yellow flowers, probability that yellow is picked is 5/12
