Answer:
False
Step-by-step explanation:
The analysis of variance may be described as an hypothesis test which is used to make comparison between variables of two or more independent groups. The null hypothesis is always of the notion that there is no difference in the means. While the alternative hypothesis is the opposite, for two independent groups, the alternative hypothesis is that both means are different, or not equal or not the same. However. When we have more than 2 independent groups, then the alternative hypothesis is stated as : 'the means are not all equal'. This means that the means of each group does not all have to be different, but the mean of one group may be different from that of the other groups or the mean of two groups are different from the other groups and so on.
Two trains leave the train station at 10:00 a.m. and travel in opposite directions. Their rates are 65 mph and 85 mph. How many hours will it take for them to be 450 miles apart?
Answer:
Step-by-step explanation:
The distance between trains increases by 65+85 = 150 mph.
450 miles × (1 hour)/(150 miles) = 3 hours
Anthony had to travel 24 miles north and then 7 miles west. Find the shortest distance between the starting and the end points.
30 miles
36 miles
25 miles
39 miles
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 8% interest. a) How big of a loan can you afford? b) How much total money will you pay the loan company? c) How much of that money is interest?
Answer:
129469.3194
342000
212530.6806
Step-by-step explanation:
Going to assume that the 8% is a nominal, montly rate
which means the effective monthly rate is .08/12= .006667
using the annuity immediate formula...
a.)
[tex]950(\frac{1-(1+.006667)^{-30*12}}{.006667})=129469.3194[/tex]
b.) we would pay 950*30*12= 342000
c.) the amount in interest would be 342000-129469.3194=212530.6806
a) The loan one can afford is $1,29,460.2
b) The total amount of money paid to the loan company over the life of the loan is $342,000.
c) $212539.8 of the total amount paid is interest.
To determine the answers to these questions, we'll need to use the formula for calculating a fixed monthly mortgage payment:
[tex]M = \frac{P \times r \times (1 + r)^n}{((1 + r)^n - 1)}[/tex]
where:
M is the monthly payment,
P is the principal loan amount,
r is the monthly interest rate (annual interest rate divided by 12),
and n is the total number of payments (number of years multiplied by 12).
Given:
Monthly payment (M) = $950
Loan term = 30 years
Interest rate = 8% per year
a) How big of a loan can you afford?
Let's calculate the principal loan amount (P):
First, we need to convert the annual interest rate to a monthly interest rate:
r = 0.08 / 12
= 0.00667
n = 30 years × 12 months
n= 360
Using the formula and plugging in the values we have:
[tex]950 = \frac{P \times 0.00667 \times (1 + 0.00667)^{360}}{((1 + 0.00667)^{360} - 1)}[/tex]
[tex]950 = \frac{P \times 0.00667 \times 10.948}{10.948 - 1}[/tex]
[tex]950=\frac{P \times 0.07302316}{9.948}[/tex]
[tex]950\times9.948 = 0.0730P[/tex]
Divide by 0.073:
Now we can solve for P:
[tex]P=\frac{9450.6}{0.0730}[/tex]
[tex]P = 1,29,460.2[/tex]
Therefore, you can afford a loan amount of $1,29,460.2
b) The total amount paid to the loan company can be calculated by multiplying the monthly payment by the total number of payments:
Total amount = Monthly payment × Total number of payments
Total amount =[tex]$950 \times 360[/tex]
Total amount = [tex]342,000[/tex]
Therefore, the total amount of money paid to the loan company over the life of the loan is $342,000.
c) To find out how much of the total amount paid is interest, we can subtract the principal loan amount from the total amount:
Interest = Total amount - Principal loan amount
Interest = [tex]342,000 - 129460.2[/tex]
=$212539.8
Therefore, $212539.8 of the total amount paid is interest.
To learn more on Simple Interest click:
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Which of the following is a polynomial?
Answer:
(D.) 3x^2 + 6x
Step-by-step explanation:
the other options aren't complete and some don't even create a parabola.
the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.
Answer: Interior angle: 150 degrees Exterior angle: 30 degrees
Step-by-step explanation:
We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees
Several factors influence the size of the F-ratio. For each of the following, indicate whether it would influence the numerator or the denominator of the F-ratio, and indicate whether the size of the F-ratio would increase or decrease. a. Increase the differences between the sample means. b. Increase the sample variances.
Answer:
(a) Increase the differences between the sample means this will increase the Numerator.
(b) Increase the sample variances will increase the denominator.
Step-by-step explanation:
F Ratio = Variance between treatments/ Variance within treatments.
Here,
(a) Increase the differences between the sample means:
- Will increase the Numerator and
- Size of the F-ratio would increase
(b) Increase the sample variances:
- Will increase the denominator and
- Size of the F Ratio would decrease.
Fill in the blank.
The
numbers are {0, 1, 2, 3, 4, ...}.
Answer:
the answer is 5 and u know the rest
Your money grows at a rate of 8% a year if you originally invest $2,000 what is the function that represents your money after t years
Answer:
2000*(1.08)^t where t is years after deposit
Step-by-step explanation:
What are the domain and range of the function represented by the set of
ordered pairs?
{(-16, 0), (-8, -11), (0, 12), (12,4)}
Answer:
domain:-16,-8,0,12
range:0,-11,12,14
If the length, width, and height of a cube all change by a factor of 7, what happens to the volume of the cube?
The length is ___ times as large.
9514 1404 393
Answer:
The volume is 343 times as large.
The length is 7 times as large.
Step-by-step explanation:
If the original cube has side length s, its volume is given by ...
V = s³
When the side length is changed by a factor of 7, the new volume is ...
V = (7s)³ = 7³×s³ = 343s³
The volume of the cube changes by a factor of 7³ = 343.
__
The problem statement tells you the length is 7 times as large.
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
Given the expression :
n/4 - 13
The options B and D cannot be possible answers as they are referring to products and sums which is not a part of the operation used in the expression.
However, the most appropriate option would be A because,
13 is subtracted from the quotient of n/4 which is what the first option expresses.
What is meant by option C however is :
13 - n/4
Hence. Option A is the correct choice.
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
Which triangle must be a right triangle and why?
O AA'B'C' is right because it is the image of AABC.
O AADC is right because AA' intersects AC at A.
O ABCC' is right because B lies of the line of
reflection.
O ABGC is right because G. CC')
Answer:
it would be the last one.
Step-by-step explanation:
its looking for a right triangle, a right triangle has one 90 degree angle. all of the other triagles have acute angles making them smaller than 90 degrees
Triangle BGC is the right triangle, because BG is perpendicular to CC'.
The line passing through points E, F, and G in the image is now perpendicular to the lines is DF and CG.
So we know that our triangle will be made with some of these lines.
For example, the right triangles in the figure are:
BFD, BGC, B'FD', and B'GC'.
Then, the concluded statement is ΔBGC, because BG ⊥CC.
There says that "Triangle BGC is the Right because BG is perpendicular to CC.
Learn more about right triangle here:
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The function c(r)=2r+12.5 represents the cost c, in dollars, of riding r rides
at a carnival. How much does it cost to get into the carnival? *
1 point
A.$2
B. $12.50
C. $14.50
D.r
A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 57% C: Scores below the top 43% and above the bottom 19% D: Scores below the top 81% and above the bottom 5% F: Bottom 5% of scores Scores on the test are normally distributed with a mean of 66.5 and a standard deviation of 9.9. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 80.
Step-by-step explanation:
According to the Question,
Given That, A philosophy professor assigns letter grades on a test according to the following scheme.A: Top 12% of scores
B: Scores below the top 12% and above the bottom 57%
C: Scores below the top 43% and above the bottom 19%
D: Scores below the top 81% and above the bottom 5%
F: Bottom 5% of scores Scores on the test
And The normally distributed with a mean of 66.5 and a standard deviation of 9.9.
Now,
In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σwe have μ=66.5 , σ=9.9
Find the minimum score required for an A grade.Top 12%, so at least the 100-12 = 88th percentile, which is the value of X when Z has a p-value of 0.88. So it is X when Z = 1.175.
⇒ Z = (X-μ)/σ
⇒ 1.175×9.9 = X-66.5
⇒ X=78.132
Rounding to the nearest whole number, the answer is 80.
The minimum score required for an A grade is 80.
Write down 4 pairs of integers a and b such that a divided by b is -5
Ali is hiking on the hill, whose height is given by f(u,v)=n^2 e^((u+n)/(v+n)). Currently, he is positioned at point (3, 5). Find the direction at which he moves down the hills quickly. Take n =12
Answer:
[tex]<-144e^{0.88},7.47e^{0.88}>[/tex]
Step-by-step explanation:
We are given that
[tex]f(u,v)=n^2e^{\frac{u+n}{v+n}}[/tex]
Point=(3,5)
n=12
We have to find the direction at which he moves down the hills quickly.
[tex]f(u,v)=144e^{\frac{u+12}{v+12}}[/tex]
[tex]f_u(u,v)=144e^{\frac{u+12}{v+12}}[/tex]
[tex]f_u(3,5)=144e^{\frac{3+12}{5+12}}[/tex]
[tex]f_u(3,5)=144e^{\frac{15}{17}}=144e^{0.88}[/tex]
[tex]f_v(u,v)=144e^{\frac{u+12}{v+12}}\times (-\frac{u+12}{(v+12)^2})[/tex]
[tex]f_v(3,5)=144e^{\frac{15}{17}}(-\frac{15}{(17)^2}[/tex]
[tex]f_v(3,5)=-\frac{2160}{289}e^{\frac{15}{17}}=-7.47e^{0.88}[/tex]
[tex]\Delta f(3,5)=<f_u(3,5),f_v(3,5)>[/tex]
[tex]\Delta f(3,5)=<144e^{0.88},-7.47e^{0.88}>[/tex]
The direction at which he moves down the hills quickly=-[tex]\Delta f(3,5)[/tex]
The direction at which he moves down the hills quickly=[tex]<-144e^{0.88},7.47e^{0.88}>[/tex]
Movie Selections The Foreign Language Club is showing a three-movie marathon of subtitled movies. How many ways can they
choose 3 from the 17 available?
Answer:
Step-by-step explanation:
This is a beginning counting problem, or is it?
If order matters then the answer is
17P3 = 17! / (14!) = 17 * 16 * 15 = 4080
However if it does not matter then
17C3 = 17!/(3! * 14!)
680
Can someone help and explain this to me ,much appreciated thankyouuu
Answer:
A. 2x + 1
Step-by-step explanation:
f(x) = 2x + 7
g(x) = x - 3
To find f(g(x)), substitute x = x - 3 into f(x) = 2x + 7
Thus:
f(g(x)) = 2(x - 3) + 7
f(g(x)) = 2x - 6 + 7
Add like terms
f(g(x)) = 2x + 1
Will give brainliest answer please give explanation
If this block dropped into 23.0mL of water, what will the new volume be?
Find the functional values of r(0), r(3) and r(-3) for the rational function.
Answer:
Step-by-step explanation:
Given function is,
[tex]r(x)=\frac{3x^3-7}{x^2-6x+9}[/tex]
For x = 0, substitute the value of x in the given function.
[tex]r(0)=\frac{3(0)^3-7}{(0)^2-6(0)+9}[/tex]
[tex]r(0)=\frac{-7}{9}[/tex]
For r = 3,
[tex]r(3)=\frac{3(3)^3-7}{(3)^2-6(3)+9}[/tex]
[tex]r(3)=\frac{81-7}{9-18+9}[/tex]
[tex]=\frac{74}{(9-18+9)}[/tex]
[tex]=\frac{74}{0}[/tex]
Function is undefined at x = 3.
For x = -3,
[tex]r(-3)=\frac{3(-3)^3-7}{(-3)^2-6(-3)+9}[/tex]
[tex]=\frac{-81-7}{9+18+9}[/tex]
[tex]=\frac{-88}{36}[/tex]
[tex]=-\frac{22}{9}[/tex]
Suppose a line parallel to side BC of triangle ABC intersects AB and AC at point D and E, respectively. Find the length of AE if DB = 32, AB= 48 and AC = 39
Answer: AE=13
Step-by-step explanation: took test
Cuanto es 91972×898972819
Answer:
82,680,328,109,068
Step-by-step explanation:
Use the on-line Big Number calculator
Help help help !!!!
the third choice
Step-by-step explanation:
check the exchange between logarithms and exponential functions srry but cannot write it here with my phone
4 mangoes and Pears cost $24 while to Mangos in three pears cost $16. Write a pair of simulataneous equations in x and y to represent the information given. State clearly what x and y represent
Answer:
x- cost of mango, y- cost of pear, 4x+4y=24 and 2x+3y=16
Step-by-step explanation:
For this, you first must assign variables. In this case, let's say x is the cost of a mango and y is the cost of a pear.
Therefore the total cost for the first part can be given by 4x+4y=24.(or 4 × the cost of a mango + 4 × the cost of a pear = $24).
Following this method, the second equation can be given by 2x+3y=16.
** building upon this knowledge (extension)**
To solve simultaneous equations, we need like terms. To make like terms, we can multiply the entire second equation by 2. This gives 2 equations of 4x+4y=24 and 4x+6y=32.
We solve this by subtracting one equation from another, giving (4x-4x)+(6y-4y)=(32-24), or 2y=8.
We can divide by 2 to get y=4, meaning a pear costs $4.
By substituting y with 4, we can work out x. 4x+4×4=24, also known as 4x+16=24.
We can subtract 16 to get 4x=8, and divide by 4, giving x=2, or a mango costs $2.
**This content involves writing simultaneous equations, which you may wish to revise. I'm always happy to help!
The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in.
(Round to the nearest whole number as needed.)
Bear Lengths
36.0 37.0 39.5 40.0 40.5 43.0 44.0 45.5 45.5 46.5 48.0 48.00 49.0 50.0 51.5 52.5 53.0 53.5 54.0 57.3 57.5 58.0 58.5 59.0 59.5 60.0 61.0 61.0 61.0 61.5 62.0 62.5 63.0 63.0 63.5 64.0 64.0 64.0 64.5 65.0 66.0 67.5 67.5 68.5 70.0 70.5 71.5 72.0 72.5 72.5 72.5 73.5 74.5 77.5
Answer:
52nd percentile
Step-by-step explanation:
The sorted data :
36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5
The total size of the data = 54
The value 61.0 occurs in position ; 27th, 28th and 29th
Taking the position average :
(27+28+29)/3 = 84/3 = 28th position
This means the percentile score of 61 is :
(Position average / total size) * 100%
(28/54) * 100%
0.5185185 * 100%
= 51.85%
This means that 61 inch length falls in the 52nd percentile
Subtract 8 1/5 - 4 2/5 . Simplify the answer and write as a mixed number.
Answer:
[tex]3\frac{4}{5}[/tex]
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]3\frac{4}{5}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\8\frac{1}{5}-4 \frac{2}{5}\\-------------\\\text{Converting the mixed numbers into improper fractions...}\\\\\rightarrow 8\frac{1}{5} =\frac{41}{5}\\\\\rightarrow 4\frac{2}{5}=\frac{22}{5} \\-------------\\\frac{41}{5} -\frac{22}{5}\\\\\rightarrow\boxed{ \frac{19}{5}}\\-------------\\\\text{5 would go into 19 3 times with 4 as the remainder.}\\\\\frac{19}{5}=\boxed{3\frac{4}{5}}\\-------------\\\text{\textbf{Therefore:}}\\\\[/tex]
[tex]8\frac{1}{5}-4\frac{2}{5}=\boxed{3\frac{4}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
3х + 2 +(-5)? I need help pls
Answer:
3x + 2 - 5
3x - 3
x = 3 ÷ 3
x = 1
I hope this helped!
Determine which statements about the relationship are true. Choose two options. g is the dependent variable. u is the dependent variable. g is the independent variable. u is the independent variable. The two variables cannot be labeled as independent or dependent without a table of values.
Answer:
1) g is the dependent variable.(A)
2) u is the independent variable.(D)
Step-by-step explanation:
Need the answers from a - e
Answer:
10
Step-by-step explanation:
Sorry. I needed to answer this question to get access.
solve the inequality (3-z)/(z+1) ≥ 1 please show the steps and the interval notation. thank you!
Answer:
The solution (- infinity , 1].
Step-by-step explanation:
[tex]\frac{3 - z}{z + 1}\geq 1\\\\3 - z \geq z +1\\\\3-1 \geq2 z\\\\2 \geq 2 z\\\\z\leq 1[/tex]
So, the solution (- infinity , 1]
