g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.
Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
(–15)0 is it less than one? Zero is an exponent.
Answer:
Yes its less than 0
Step-by-step explanation:
it would go behind the 0 on a number line
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
I need to know how to write a equation number sentence for my time traveled from 2020 to 2000
Answer:
explain further or send a picture of what you mean and then I can help you
How do I Evaluate f(5).
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.
Select which inequalities represent the prices you are willing to pay.
Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445
x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370
Answer:
250 < x < 370
Step-by-step explanation:
From the given bicycle prices, we first calculate the mean.
Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)
Mean = ⅛(2480)
Mean = $310
Next, is to determine the amount willing to pay using.
Amount = Mean ± Absolute Deviation
Amount = $310 ± $60
This can split as follows
Amount = $310 + $60 or Amount = $310 - $60
Amount = $370 or $250
Represent as an inequality, we have:
250 < x < 370
please help, I can't get it
Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?
the answer is 63
Step-by-step explanation
18 x 3.5=63
Answer: 63 pages
Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.
Can someone answer this and explain how to solve the 3 with the exponent of -4?
Answer:
3⁷
Step-by-step explanation:
When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Exponents and power,
Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-
[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]
so we apply here same,
also
[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]
so we get as,
[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]
this is the answer.
please help asap :)
Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24
The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Find the measures of the missing values.
A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?
Given that,
A supply of foods last for a week for 20 families.
It is required to find the time that would the supply last for 3 more families.
20 families = 1 week = 7 days
If 3 more families joined, total no of families are now 23.
It means that,
1 family= (20/7) days
Now,
23 family =
[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]
So, the supply will last for 66 days.
Find the measure of the missing angle
Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32?
Answer:
the fraction and its decimal equivalent for the mark on the ruler
= 59/64 = 0.921875
Step-by-step explanation:
Given that;
A CARPENTER 's ruler is marked in thirty seconds
mark on the ruler between 29/32 and 30/32 is the average of the values
we know that average is the summation of all terms divided by the number of appearance of terms
so
= (29/32 + 30/32) / 2
= ((29 + 30) / 32) / 2
= (59 / 32) / 2
= 59 / 64
= 0.921875
therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875
Given that a=4,b=2 and c=-1, find the value of a-b+c
Answer:
1
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
a - b + c
a = 4
b = 2
c = -1
Step 2: Solve
Substitute: 4 - 2 - 1Subtract: 2 - 1Subtract: 1(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)
Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]
Critical z-value for 90% confidence: z* = 1.645
Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]
The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]
Hence, the required margin of error = 0.038
PLS HELP QUICKLY WILL GIVE BRAINLIEST
Answer:
the first one
Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist
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Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6
Answer:
c = 4
Step-by-step explanation:
Solve for"c" in the following equation:
- 8 c + 7 = - 25
Subtract 7 from both sides:
- 8 c = - 25 - 7
combine like terms
- 8 c = -32
divide both sides by "-8" to isolate c on the left
c = - 32 / (-8)
c = 4
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
Which of the following does NOT represent a whole number?
9, 6.0, 12/4, -12/3 help plz
Answer:
-12/3
Step-by-step explanation:
Whole numbers can't be negative!
Answer:
d. your welcome
Step-by-step explanation:
ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he seems to third of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at this rate how many minutes does it take them to run 2 miles swim 2 miles in bike 8 miles
Answer:
a) He will take 76 minutes in the triathlon
Step-by-step explanation:
He runs 1/5 of a mile in 1/20 f hour then, by simple inspection
1/5 ⇒ 1/20 then 1/5 miles* 10 = 2 miles
1/20*hours*10 = 1/10 hours
10/10 of an hour is 60 minutes
1/10 of an hour is 6 minutes
swimming
1/3 of a mile in 1/9 of hours then
1/3mile *6 = 2 miles
1/9 of an hour * 6 = 6/9 hours or 2/3 of an hour
3/3 of an hour is 1 hour = 60 minutes
2/3 of an hour is = 40 minutes
In bike
4 miles in 1/4 hour then
4 miles *2 = 8 miles
1/4 hour* 2 = 1/2 hour = 30 minutes
Then he will do the triathlon in:
6 minutes running
40 minutes swimming
30 minutes in bike
Total 76 minutes
PLEASE HELP ME!
An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?
Answer:
Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg
Step-by-step explanation:
22.5 is 1/3 of 67.5
so compliment is 67.5.
Supplement is just adding another angle so I chose 7.
I did 22.5 x 7 = 157.5
Another example would be:
Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)
Hope this helps :)
Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?
Answer:
904
Step-by-step explanation:
8 x 113 = 904
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation: