Answer: D
Step-by-step explanation: I just know if not D its c
Which of the following outputs from an ANOVA summary report is used to determine the significance of the F-Test?F-critT-testRegrationMedian test
The output used to determine the significance of the F-test in an ANOVA summary report is the F-critical value.
The F-test is a statistical test used to compare the variance between the means of two or more groups, and the F-critical value is the value against which the calculated F-statistic is compared to determine if the differences between group means are statistically significant or not.
The F-critical value is calculated based on the degrees of freedom and the desired level of significance or alpha level. If the calculated F-statistic is greater than the F-critical value, the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the groups being compared.
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LSAT test scores are normally distributed with a mean of 152 and a standard deviation of 10. Find the probability that a randomly chosen test-taker will score 142 or lower. (Round your answer to four decimal places.)
Answer:
the probability that a randomly chosen test-taker will score 142 or lower = 0.8643
Step-by-step explanation:
We are given;
Data point; x = 142
Mean; μ = 153
Standard deviation; σ = 10
So,let's find the z-score using;
z = (x - μ)/σ
z = (142 - 153)/10
z = -1.1
From the z-distribution table attached, the probability is;
P(z < -1.1) = 1 - 0.13567 ≈ 0.8643
a certain town of population size 100,000 has three newspapers: i, ii, and iii. the proportions of townspeople that read these papers are: i: 10%, i and ii: 8%, i and ii and iii: 1%, ii: 30%, i and iii: 2%, iii: 5%, ii and iii: 4%. (note that, for example, the 10% of people who read newspaper i might read only i or might read i and some other paper(s) ).
Out of a population of 100,000, the number of people who read at least two newspapers is = 33,000.
Let's approach this problem using the inclusion-exclusion principle.
First, we can add up the proportions of people who read each paper to get:
P(I) + P(II) + P(III) = 10% + 30% + 5% = 45%
However, this includes the people who read two or more papers multiple times, so we need to subtract those out. We can calculate these as follows:
P(I&II) + P(I&III) + P(II&III) = 8% + 2% + 4% = 14%
2P(I&II&III) = 2%
Using the inclusion-exclusion principle, we can now find the proportion of people who read at least two papers:
P(at least 2 papers) = P(I) + P(II) + P(III) - (P(I&II) + P(I&III) + P(II&III)) + 2P(I&II&III)
Plugging in the values, we get:
P(at least 2 papers) = 45% - 14% + 2% = 33%
So, the number of people who read at least two newspapers is:
0.33 * 100,000 = 33,000
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Complete question is:
A certain town of population size 100,000 has three newspapers: I , II and III the proportions of townspeople that read these papers are:
I= 10 percent
II= 30% percent
II=5 percent
I&II=8 percent
I&III=2 percent
II&III=4 percent
I&II&III=1 percent
How many people read at least two newspapers?
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
a) Find the value of x.
The sum of two numbers is 18 and the sum of their reciprocals is Find the numbers. 1/4
Answer:
12 and 6
Step-by-step explanation:
Let the numbers be x and y
Sum of two numbers is 18.
⇒ x + y = 18 ----------------(II)
\(\sf \text{Reciprocal of x = $\dfrac{1}{x}$}\\\\ \text{Reciprocal of y =$\dfrac{1}{y}$}\)
Sum of reciprocals is 1/4
\(\sf \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{4}\\\\ \dfrac{1*y}{x*y}+\dfrac{1*x}{y*x}=\dfrac{1}{4}\\\\\dfrac{y}{xy}+\dfrac{x}{xy}=\dfrac{1}{4}\\\)
\(\sf \dfrac{x +y}{xy}=\dfrac{1}{4}\)
Plugin (x +y = 18)
\(\dfrac{18}{xy}=\dfrac{1}{4}\\\\\)
Cross multiply,
18*4 = 1*(xy)
xy = 72
\(x = \dfrac{72}{y}\)
Substitute x value in equation (I)
\(\dfrac{72}{y}+y=18\\\\\text{Multiply the entire equation by y}\\\\\\ 72 + y^2=18y\\\)
y² - 18y + 72 = 0
y² - 12y - 6y + 72 = 0
y(y -12) - 6(y - 12) = 0
(y - 12)(y -6 ) = 0
y - 12 = 0 ; y - 6 = 0
y = 12 ; y = 6
The numbers are 12 , 6Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?
Answer:
85,600:6,905.22
Step-by-step explanation:
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
The system of equations is graphed on the coordinate plane.
y=x−1
y=−2x−4
Enter the coordinates of the solution to the system of equations in the boxes.
Answer:
(-1,-2)
Step-by-step explanation:
Hello!
The solution to the system is at the intersection between the two graphed lines.
Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.
The coordinate is (-1, -2).
Littletown is located 30 miles to the east and 40 miles to the north of Bigtown. How far apart are the two towns?
Answer:
10 miles
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(30^{2}\) + \(40^{2}\) = \(c^{2}\)
900 + 1600 = \(c^{2}\)
2500 = \(c^{2}\)
\(\sqrt{2500}\) = \(\sqrt{c^{2} }\)
50 = c
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it
Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equation of the line is y = (3/2)x + 1.
To find the y-intercept of the line, substitute x = 0 into the given equation,
y = (3/2)(0) + 1
y = 1
Note that the y-intercept of the graph of the line is also 1.
The graph of the line passes through points (2,4).
To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:
4 = (3/2)(2) + 1
4 =4
The equation is true.
Hence, it can be said that the given equation represents the graph of the line.
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I need help, so this one question: 1/4 (4+x)=4/3
Is stopping me from being great
Answer:
if you are solving for x, x= 4/3
Step-by-step explanation:
How to solve your problem:
1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers
7. Subtract 4 from both sides
8.Simplify
Answer:
X= 4/3
Hopes this helps! ^^
A confidence interval that includes the null hypothesis may still result in a statistically significant difference or association.
Even with the null hypothesis included in the confidence interval, there might be a statistically significant difference or correlation.
Describe the term confidence interval?An estimate's level of uncertainty is indicated by a confidence interval, which is a range of numbers. A confidence interval is denoted by its endpoints.
Confidence intervals are commonly employed by statisticians to gauge the degree of uncertainty in either a sample variable. For instance, to determine how each sample might accurately reflect the true value of a population variable, a researcher chooses many samples at random taken from the same population as well as computes the confidence interval for each sample.A confidence interval is a set of values that are likely to contain an unidentified population parameter and are bound across each statistic's mean. According to statistical significance, there is a strong possibility that our conclusion that two variables are related is accurate.Thus, even with the null hypothesis included in the confidence interval, there might be a statistically significant difference or correlation.
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The complete question is-
A confidence interval that includes the null hypothesis may still result in a statistically significant difference or association. (True /False).
x^3-6x^+2x-4 divided by x+2
Answer:
Step-by-step explanation:
How do you do number 61?
The remainder of the synthetic division is 0, hence x + 2 is a factor of the polynomial
Synthetic divisionFor an expression to be a factor of a polynomial, hence the remainder of the polynomial must be zero
Given the polynomial function x^3-2x^2-5x+6 divided by x + 2 according to the synthetic division
x^2 - 4x + 3
x + 2 | x^3-2x^2-5x+6
x^3 + 2x^2
------------------------------------
-4x^2 - 5x
-4x^2 - 8x
----------------------------------------
3x + 6
3x + 6
Since the remainder of the synthetic division is 0, hence x + 2 is a factor of the polynomial
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Hubble's constant H is about 70 km/sec per megaparsec. (The prefix "mega" means million.) Convert this value for Hubble's constant to km/s/million LY. Hint: -A parsec is 3.26 light-years, and therefore a megaparsec is 3.26 million LY. If you take the given value of the Hubble constant (namely, 70 km/s per megaparsec) and replace the megaparsec with 3.26 million LY, then you will have converted to the desired units.
Hubble's constant in units of km/s/million LY is approximately 21.47.
what is approximately ?
Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.
In the given question,
To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:
1 Mpc = 3.26 million LY
Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:
1 Mpc / 3.26 million LY
Multiplying Hubble's constant by this conversion factor gives:
H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY
Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.
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Helpppp me i dont understand this and i need the answer fast <3
Answer:
it would be -4.5
Step-by-step explanation:
cause thats the middle
In the quadrilateral,all the sides are equal,but diagonals are not equal is called?
Answer:
I think it would be a rhombus.
Lacy draws two triangles. The small has a base length of 7 inches and a height of 10 inches. The larger triangle has a length of 12 inches and a height of 15 inches. Is the larger triangle a scaled copy of the smaller one? explain or show your reasoning.
Smaller triangle
base length = 7 inches
height = 10 inches
Larger triangle
base length = 12 inches
height = 15 inches
Let's check for the scale factors
For the base
Scale factor = 12/7 = 1.71
For the height
scale factor = 15/10 = 1.5
The larger triangle is not a scaled copy of the smaller one
Because from the above the scale factors of the base and height of the two triangles are not the same
There are six more necromancers than there are
wizards. Write a system of equations that deter-
mines the numbers of wizards and the number of
necromancers.
Answer:
Step-by-step explanation:
let x be necromancers and y be wizards
if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6
but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6
i) Group 1 contains 170 students, all of whom have taken at least one of the three courses listed above. Of these, 61 students have taken Calculus, 78 have taken Sociology, and 72 have taken Spanish. 15 have taken both Cal- culus and Sociology, 20 have taken both Calculus and Spanish, and 13 have taken both Sociology and Spanish. How many students have taken all three classes? (ii) You are given the following data about Group 2. 32 students have taken Calculus, 22 have taken Sociology, and 16 have taken Spanish. 10 have taken both Calculus and Sociology, 8 have taken both Calculus and Span- ish, and 11 have taken both Sociology and Spanish. 5 students have taken all three courses while 15 students have taken none of the courses. How many students are in Group 2?
The number of students that took all the three classes is 40
The number of students are in Group 2 is 51 students
How to find the number of students that tool all the three classes(i) To find the number of students who have taken all three classes, we need to subtract the number of students who have taken only two classes from the number of students who have taken at least one class.
Let's call the number of students who have taken all three classes "x".
The number of students who have taken Calculus and Sociology is 15 + x.
The number of students who have taken Calculus and Spanish is 20 + x.
The number of students who have taken Sociology and Spanish is 13 + x.
Adding these three equations, we have:
15 + 78 + 72 = 15 + x + 78 + x + 72 + x
solving for x
165 = 45 + 3x
120 = 3x
isolating x
So, x = 40.
hence, 40 students have taken all three classes.
(ii) To find the number of students in Group 2, we need to add the number of students who have taken at least one class to the number of students who have taken none of the classes.
Let's call the number of students in Group 2 "y".
The number of students who have taken at least one class is
32 + 22 + 16 - 10 - 8 - 11 + 5 = 36.
Therefore, y = 36 + 15 = 51.
So, there are 51 students in Group 2.
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Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
Triangle PQR is a right triangle.
Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees.
Which equation could be used to find the measure of Angle Q?
Answer:
90 + 2 = 92
180 - 92 = 88
Angle Q = 88
Step-by-step explanation:
All a triangles, angles should equal to 180.
Answer:
180 = 3 x + 90
Step-by-step explanation:
Hope it helps.Give me a brainliest please.
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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Choose all the options that are examples of volume:
1. The size of a shadow'
2. The amount of soup in a can
3. the amount of chips in a bag of chips
4. the size of a line drawn on a chalk board'
5. the amount of chocolate that makes up a chocolate bar?
Answer:
2. The amount of soup in a can
3. The amount of chips in a bag of chips
5. The amount of chocolate that makes up a chocolate bar.
Step-by-step explanation:
Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.
QUICK I NEED HELP! ILL MARK BRAINLIEST IF CORRECT
Find the amount in a continuously compounded account for the following condition.
Principal, $2000; Annual interest rate, 5.1%; time, 3 years
Whats the balance after 3 years?
Answer:
The balance in the account after 3 years is approximately $2313.94.
Step-by-step explanation:
The formula for calculating the balance in a continuously compounded account is:
B = Pe^(rt)
Where:
B = balance
P = principal
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time in years
Using the given values, we have:
P = $2000
r = 0.051 (5.1% expressed as a decimal)
t = 3
Plugging these values into the formula, we get:
B = 2000e^(0.051*3)
B = 2000e^(0.153)
B = $2313.94 (rounded to the nearest cent)
Therefore, the balance in the account after 3 years is approximately $2313.94.
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
Answer:
Step-by-step explanation:
Range is largest value - smallest value. 12-3=9! EZ
Tyreke can complete 5 problems in 8 minutes.
How long will it take him to complete 30
problems?
Answer:
48 minutes
30/5 = 6
6 x 8 = 48
Answer: 48
Step-by-step explanation:
if Tyreke can solve:
5 problems in 8 minutes
30 problems in ? minutes
(30*8)/5=48
Plz help ASAP
Plz plz plz help ASAP the pic is there so you can see the question
Answer:
If going from top to bottom.
The 2nd And 5th choices are correct.
Explamation:
2nd choice: The shortest feather's length is 1 7/8 inches. The Longest feather's length is 4 2/8 inches. If you subtract 1 7/8 from 4 2/8 you get 2 3/8.
5th choice: The shortest feather's length is 1 7/8 inches. The Longest feather's length is 4 2/8 inches. If you add 4 2/8 & 1 7/8 you get 6 1/8.