The F ratio is 1.2.
What is statistic?
The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
30/25 = 1.2
In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:
Fobs=MSB/MSW
30/25 = 1.2
Where MSB is the mean square between the groups and MSW is the mean square within the groups.
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Calculate the distance between the points P=(-1, -1) and A=(2, 7) in the coordinate plane. Round your answer to the nearest hundredth.
Using the distance formula, [tex]AP=\sqrt{(-1-2)^2+(-1-7)^2} \approx \boxed{8.54}[/tex]
which of the following inference tests is not appropriate for a comparison of two means in a causal comparative study?
a. The Mann-Whitney U test
b. ANOVA
c. Chi-Square
d. A t test for independent means
The Mann-Whitney U test is not appropriate for a comparison of two means in a causal comparative study.
What is Mann-Whitney U test?To determine if two samples are likely to come from the same population, researchers employ the Mann Whitney U test, also known as the Mann Whitney Wilcoxon Test or the Wilcoxon Rank Sum Test (i.e., that the two populations have the same shape). When a continuous level variable is measured across all observations in two groups and we wish to test if the distribution of this variable differs between the two groups but we are unable to assume normality in both groups, we use the Mann-Whitney test.
Here,
Mann-Whitney test In a causal comparative investigation, comparing two means is not acceptable using the U test.
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Factor 2x^4-5x^3+6x^2-15x completely over the set of integers
[tex]2x^4 - 5x^3 + 6x^2 - 15x \\ \\ =x(2x^3 - 5x^2 + 6x-15) \\ \\ =x(x^2(2x-5)+3(2x-5)) \\ \\ =\boxed{x(2x-5)(x^2+3)}[/tex]
HELP THANK YOU SO MUCH
Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs5 rock CDs12 hip hop CDs, and 3 jazz CDs. What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?
A. 3/5
B. 2/5
C. 12/30
D. 17/30
The probability of not pulling hip hop CDs is equal to 3/5. The correct option is (A).
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
Given that,
The number of country, rock, hip hop, and jazz CDs are 10, 5, 12 and 3 respectively.
Then, the total number of CDs are 10 + 5 + 12 + 3 = 30
Now, the probability of not selecting hip hop is equal to the probability of selecting the remaining types of CDs which is given as,
P(Not hip hop CDs) = (10 + 5 + 3)/30
= 18/30
= 3/5
Hence, the probability that the first CD that Kyle pulls from the box will not be hip hop is 3/5.
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I need help with the last part. I don’t know what to do with the pi part. If someone can help, that would be great!!
Answer:
Error: 131π
Surface Area = 131π=411.5 yd^2
Step-by-step explanation:
All the other steps were correct but 131π = 411.5486376, so there's no way the person should have gotten 411.3 yd^3.
Finally, if we round 411.5486376 to the nearest tenth, we get 411.5 yd^2.
Suppose z varies directly with x and inversely with the square of y. If z = 12 when x what is z when x = 7 and y = 8?
what is z?
the initial statement here is
z
∝
x
y
2
to convert to an equation multiply by k the constant
of variation
⇒
z
=
k
x
y
2
to find k use the given condition
z
=
18
when
x
=
6
and
y
=
2
z
=
k
x
y
2
⇒
k
=
y
2
z
x
=
4
×
18
6
=
12
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
z
=
12
x
y
2
2
2
∣
∣
∣
−−−−−−−−−−−−−
when
x
=
8
and
y
=
9
z
=
12
×
8
81
=
32
27
In each blank below a single digit is inserted such that the following six three-digit numbers, in this order, form an arithmetic sequence: 1_ _, _ _ 9, 2 _ 2, _ 6 _, 2 _ _, _ 3 _What is the value of the next number in the sequence?
The series appears to be 166, 199, 232, 265, 298, 331
With examples, define sequence?
A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.
In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.
The last number of the common difference must end in 3
And this must be a 2 digit number
So....the first number must end in 6
The the 4th number must be 265
So..... the 5th number must end in 8
And the last digit of the last term must end in 1 [ and begin with 3 ]
Putting all this together we have that
265 + 2d = 331
2d = 66 ⇒ d = 33
So the first term must be 265 - 3 (66) = 166
the series appears to be 166, 199, 232, 265, 298, 331
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What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x = ____
y = ____Choose matching definition
a. (-3.5, 2.3)
b. (1.2, -4.7)
c. -2.6
5.2
d. (-4, -5)
The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 are (-2.6,5.2).
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.
If a point (x,y) divides the line segment joining the points A(x1,y1) and B (x2,y2) is in the ratio m:n, then
[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\[/tex]
Here,
m:n = 3:10
The endpoint of line AB are at: A(-4,8) and B(2,-4)
We substitute the given values to obtain:
x= 3*2+10*(-4)/3+10
x= -34/13
x= -2.6
and
y= 3*(-4)+10*(8)/3+10
y= 68/13
y= 5.2
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The data in the table represent the height of an object over time. Which model best represents the data ? Height of an Object quadratic, because the height of the object increases or decreases with a multiplicative rate of change quadratic, because the height increases and then decreases Time (seconds) 0 1 2 Heiaht(feet) 5 50 70 48 3 exponential, because the height of the object increases or decreases with a multiplicative rate of change exponential , because the height increases and then decreases
Since the data in the table represent the height of an object over time, a model which best represents the data is: B. quadratic, because the height increases and then decreases.
What is a quadratic equation?In Mathematics, a quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
Additionally, the standard form of a quadratic equation in mathematics is given by the following mathematical expression:
ax² + bx + c = 0
In Mathematics, the graph of all quadratic equations (functions) is either an upward or downward parabola, which is typically a u-shaped curve.
In conclusion, we can logically deduce that the graph of a quadratic equation (function) would always form a parabolic curve with the data value increasing on one end and decreasing on the other end as shown in the image attached below.
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Complete Question:
The data in the table represent the height of an object over time.
Which model best represents the data?
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
quadratic, because the height increases and then decreases
exponential, because the height of the object increases or decreases with a multiplicative rate of change
exponential, because the height increases and then decreases
cassie prepaid a 6-month membership to the summer lotus yoga studio. she received a one-time discount of $40 for prepaying. cassie paid a total of $650.
The amount which Cassie will pay the studio per month will be $115.
The equation by taking data from the question will be
6m - 40 = 650
6m−40=650
On solving this we get ,
6m = 610
m = 115
The regular cost per month is $115.
The above question is an example of multi-step equation.
Multi-step equations are algebraic expressions that must be solved using more than one operation, such as subtraction, addition, multiplication, division, or exponentiation. When solving multi-step equations, it is critical to understand the order of operations.
Solve an equation with a single unknown variable, x, by using algebraic operations on both sides of the equation to isolate x. The goal is to select an algebraic operation sequence that will leave x on one side of the equal sign and put everything else on the other side.
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I need 1/8 turned into a percentage but rounded to the nearest whole number.
Answer: 12.5%
Explain:
There are two main ways to express a fraction as a percentage:
-Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.
-Convert the fraction to a decimal first, then multiply the answer by 100.
What is the height of the flag pole?
the height of the flag pole should be 108 inches.
PLEASE HELP WILL MARK BRAINLIEST..Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
x= -2, x=7
P(x)=
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
What is a polynomial function?A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
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An exponential function f(x)=ab^x passes through the points (0,10000) and (3,3430). What are the values of a and b ?
a=
b=
The values of a and b for the exponential function are given as follows:
a = 10000.b = 0.1143.How to obtain the values of a and b for the exponential function?The standard definition of an exponential is given as follows:
y = ab^x.
In which the meaning of the parameters a and b is given as follows:
a is the initial value of the function, meaning that when x = 0, y assumes a value of a.b is the rate of change of the exponential function, meaning that when x is increased by one, y is multiplied by b.The function passes through the points (0,10000), hence the value of the parameter a is given as follows:
a = 10000.
The function also passes through the point (3,3430), hence the value of the parameter b is obtained as follows:
10000b³ = 3430
b = cubic root of (3430/10000)
b = (3430/10000)^1/3
b = 0.1143.
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PLEASE HELP ASAP
Choose the expression that is equivalent to the quantity 7 raised to the negative second power times 7 raised to the third power end quantity all raised to the negative third power.
−76
1 divided by 7 raised to the third power
negative 1 divided by 7 raised to the sixth power
718
The correct answer is therefore negative 1 divided by 7 raised to the sixth power, which is the same as 1/7^2. The other choices do not match this expression.
What is power?
The power (or exponent) of a number says how many times to use the number in multiplication. It is written as a small number to the right and above the base number.
The expression 7 raised to the negative second power times 7 raised to the third power is equivalent to 7 raised to the (negative second + third) power, which is 7 raised to the first power. This is equal to 7.
The quantity 7 raised to the first power all raised to the negative third power is equal to 7 raised to the (first + negative third) power, which is 7 raised to the negative second power.
Therefore, the expression that is equivalent to the quantity 7 raised to the negative second power times 7 raised to the third power all raised to the negative third power is 7 raised to the negative second power, which is 1/7^2 = 1/49.
Hence, The correct answer is therefore negative 1 divided by 7 raised to the sixth power, which is the same as 1/7^2. The other choices do not match this expression.
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For the polynomial below, what is the coefficient of the term with the power of
3?
x^3+1/3 x^4+6x+5
A. 5
B. 0
C. 6
D. 1
Answer: The coefficient of the term with the power of 3 is (D. 1)
Step-by-step explanation:
The power of 3 is x^3. When there's no number besides x, we can think of it as an imaginary 1. So, therefore, it's D-1.
Brayden runs a farm stand that sells raspberries and grapes. Yesterday Brayden sold 44 pounds of raspberries and 43 pounds of grapes for a total revenue of $217. Today he sold 45 pounds of raspberries and 18 pounds of grapes for a total revenue of $144. Write a system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes. Define the variables that you use to write the system
Step-by-step explanation:
44r + 43g = 217
45r + 18g = 144
r = a pound of raspeberries
g = a pound of grapes
In how many ways can the digit in the number 7,600,000 be arranged
Answer:Answer to Solved In how many ways can the digits in the number 7, ... Question: In how many ways can the digits in the number 7, 600,000 be arranged?
1 answer
·
Top answer:
Concept used : The number of permutations (arrang...
Step-by-step explanation:
solve the equation
-(1+7x)-6(-7-x)=36
The solution to the equation is x = -1.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
To solve this equation, we need to use the order of operations to simplify the expression on the left side of the equal sign.
The order of operations tells us that we should perform operations within parentheses first, then perform any exponents or radicals, then perform any multiplications or divisions (working from left to right), and finally perform any additions or subtractions (also working from left to right).
Using the order of operations, we can simplify the left side of the equation as follows:
-1 - 7x - 6(-7 - x) = 36
(-1 - 7x) - 6(-7 - x) = 36
-1 - 7x - (-42 - 6x) = 36
-1 - 7x + 42 + 6x = 36
5x + 41 = 36
5x = -5
x = -1
Therefore, the solution to the equation is x = -1.
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Help Please!!
Line q has an equation of y+7=9(x+4). Line r is perpendicular to line q and passes through (9,–10). What is the equation of line r?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
The equation of line r, in slope-intercept form, is: y = -1/9x - 9.
How to Write the Equation of a Line in Slope-intercept Form?The equation that represents a line, in slope-intercept form, is expressed or written as:
y = mx + b, where the slope is m, and the y-intercept is b.
The slope of line q, with the equation y + 7 = 9(x + 4) is 9. The negative reciprocal of 9 is -1/9. This means line r that is perpendicular to line q and passes through (9, -10) has a slope, m = -1/9.
To write the equation of the line in slope-intercept form, first, substitute m = -1/9 and (a, b) = (9, -10) into y - b = m(x - a):
y - (-10) = -1/9(x - 9)
y + 10 = -1/9(x - 9)
Rewrite in slope-intercept form:
y + 10 = -1/9x + 1
y = -1/9x + 1 - 10
y = -1/9x - 9
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Please help
Whats 9^2-10=
Answer: The correct answer would be 71.
step-by-step explanation:
9^2 - 10 =
Calculate the exponents: 9^2 : 81
Then subtract 81 by 10
81 - 10 = 71
Help solve systems of equations
Answer:
b!vch I am up b!vch I am up b!vch I am up
What is the area of the triangle?
7 cm
10 cm
Area = [?] cm²
Enter
Answer:
35 cm²
Step-by-step explanation:
Base of triangle = 10 cm
Height of triangle = 7 cm
Area of triangle = 1/2 x (base x height)
= 1/2 x (10 x 7)
= 1/2 x 70
= 35
So, area is 35 cm²
The size of a wolf population in a national park increases according to the formula y=y₀ e^{0.027 t}, where t is time in years and y₀ is the initial population at time 0 . If the size of the current population is 58 wolves, find how many wolves there will be in 5 years.
In 5 years, there will be ? wolves.
(Round to the nearest whole number as needed.)
There will be 66 wolves there will be in 5 years according to given exponential function.
What is exponential equation?
The exponential function may be a function denoted by f(x)=\exp or e^. Unless otherwise fixed, the term usually refers to the positive-valued operate of a true variable
Main body:
given = y=y₀ e^{0.027 t}
here , y₀ = 58
t = 5 years
y = 58 e^(0.027 * 5)
y = 58 e^(0.135)
y = 58 * 1.144537
y = 66.383133
y = 66
Hence there will be 66 wolves there will be in 5 years.
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Evaluate b(-7), when b(c) = 2c³5c² - 6c - 13.
Answer:
168015
Step-by-step explanation:
b(c) = 2c³5c² - 6c - 13
b(7)=2(7)³5(7)²-6(7)-13
b(7)=2(343)5(7)²-6(7)-13
b(7)=(686) 5(49)-6(7)-13
b(7)=(686) (245)-6(7)-13
b(7)=(686) (245) -42-13
b(7)=168070-42-13
b(7)=168028-13
b(7)=168015
(Usually this is how you would solve it but because there was no sign between the 2c^35c^2 I got sort of confused so I just multiplied, if wrong I'm sorry..)
[tex]b(-7)=-168041[/tex].
Step-by-step explanation:1. Write the function.[tex]b(c)=2c^{3} 5c^{2} -6c-13[/tex]
2. Substitute "c" by "-7" in the function.[tex]b(-7)=2(-7)^{3} 5(-7)^{2} -6(-7)-13[/tex]
3. Calculate.[tex]b(-7)=2(-343) 5(49) -(-42)-13\\ \\b(-7)=-168070 +42-13\\ \\b(-7)=-168041[/tex]
HELP! 10 POINTS!!!!
Where are the residual values shown on a residual plot?
A) on the y-axis
B) on the x-axis
C) on the line of best fit
D) on the x and y-axis
The coordinate on which the residual values are shown on a residual plot is: A) on the y-axis.
What is a residual value?A residual value can be defined as a difference between the measured (given or observed) value from a residual plot (scatter plot) and the predicted value from a residual plot (scatter plot).
Mathematically, the residual value of a data set can be calculated by using this formula:
Residual value = given value - predicted value
In Mathematics, the independent variable (fitted values) are generally plotted on the x-axis of a residual plot (scatter plot) while the residual value is plotted on y-axis of a residual plot (scatter plot).
In conclusion, a line of best fit simply refers to a trend line on a residual plot (scatter plot).
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What is greater 7/8 or 5/6?
Answer:
7/8
Step-by-step explanation:
First, we need to get 7/8 and 5/6 to the same denominator which is 48. 7/8 becomes 42/48 whilst 5/6 becomes 40/48
we can simply put them both with the same denominator and check, the larger numerator will be it.
so hmmm let's multiply one by the denominator of the other
[tex]\cfrac{7}{8}\hspace{5em}\cfrac{5}{6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}\cdot \cfrac{6}{6}\implies \cfrac{42}{48}\hspace{5em}\cfrac{5}{6}\cdot \cfrac{8}{8}\implies \cfrac{40}{48}\hspace{9em}\boxed{\cfrac{42}{48} ~~ {\Large \begin{array}{llll} > \end{array}}~~ \cfrac{40}{48}}[/tex]
g(n)-50-15n
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answer:
-65
Step-by-step explanation:
Substitute: g (1) =_50-15
Calculate the sum or difference:
Answer=-65
Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show work!)50 points!!!!!!
Length is 4 ft and width is is 3ft.
What is width ?
The "size" of a body is measured in geometry by its mean width; for more information on the various body measures, see Hadwiger's theorem. One must take into account -dimensional hyperplanes parallel to a specific direction in where is the n-sphere.
[tex]\begin{aligned}& w^2+(w+1)^2=5^2 \\& \frac{w^2+w^2+2 w+1}{}=25 \\& 2 w^2+2 w-21\end{aligned}[/tex]
[tex]\begin{aligned}& 2 w^2+2 w-24=0 \\& w^2+w-12=0\end{aligned}[/tex]
[tex]\begin{gathered}(w-3)(w+4)=0 \\w=3,-4\end{gathered}[/tex]
The width must be three because we can't have negative widths. Since the length is four feet, we have the dimensions of our poster.
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help meeeeeeeeeee pleaseee
(a) 794g of the initial sample will be left in the sample after 25 years. (b) Time taken to decay to half of its original amount is 3.39 years.
Isotopes(200g) are atoms that have the same number of protons in their nucleus, but a different number of neutrons. This means that they have the same atomic number, but a different atomic mass. Because of this, isotopes have different physical and chemical properties. Isotopes can be stable, meaning that they do not undergo radioactive decay, or they can be unstable, meaning that they will undergo radioactive decay over time.
(a) Substituting 25 for t in the expression, we get:
[tex]A(25) = 200e^{0.0541 \times 25}[/tex]
[tex]= 200e^{1.3525}[/tex]
Thus, after 25 years, there will be
[tex]200e^{1.3525} = 2003.97[/tex]
794 g of the initial sample left in the sample.
(b) We want to find t such that
[tex]A(t) = 200e^{0.0541}[/tex]
= 100.
Solving for t, we get:
[tex]= 200e^{0.0541} \times t=100[/tex]
Dividing both sides by 200 and applying the natural logarithm to both sides, we get:
0.0541 × t = ln(0.5)
Therefore,
[tex]t = \frac{ln(0.5)}{0.0541}[/tex]
= 3.39 years.
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