Answer:
[tex]Q' =(-4,-3)[/tex]
Step-by-step explanation:
Given
[tex]Q = (3,-4)[/tex]
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
[tex]Q = (3,-4)[/tex]
Where:
[tex]x = 3[/tex] and [tex]y = -4[/tex]
Q' will be:
[tex]Q' =(-4,-3)[/tex]
Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)
The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9
Solution :
Given the number of the edges are = 11
Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]
And the number of the vials total is = 100
Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]
From the table provided below, we can obtained :
1. Null hypothesis and alternate hypothesis :
The following null and alternate hypothesis needs to be tested :
[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]
[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.
2. Rejection region :
It is given --
significance level, α = 0.05
number of degrees of freedom, df = 11 - 1
= 10
Then the rejection region of this test is :
[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]
3. Test statistics
The Chi-Squared statistics is computed as :
[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]
[tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]
= 21.638
4. Decision about null hypothesis
Since we see that : [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.
5. Conclusion :
It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.
g(n) = 4n
f(n) = 4n + 2
Find g(f(n))
Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
5m=105 what is m in the equation
Answer:
m = 105 / 5 = 21
Step-by-step explanation:
Describe an animal adaptation and explain how it helps survival.
Answer and Step-by-step explanation:
Animal adaption for Birds.
Birds who live on a tropical island with large, hard shell nuts.
The birds have small beaks, but over time, their beaks become bigger, stronger, and sharper, so that it can break into the hard shell nuts, allowing them to eat the nuts.
#teamtrees #WAP (Water And Plant)
I need help Estimate 81/4 but into a number
les What is the area of the triangle?
Answer:
48 cm² is the correct answer.
what is the answer to y=-2/3+b
Answer:
it is B
Step-by-step explanation:
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
Can someone help me with these two one step equations? I will give brilliant
Answer:
1.) p = 88.66
2.) m = 17
Step-by-step explanation:
1.) p - 23.76 = 64.9
p - 23.76 + 23.76 = 64.9 + 23.76
p = 88.66
2.) m + 78 = 95
m + 78 - 78 = 95 - 78
m = 17
Hope this helps and stay safe, happy, and healthy, thank you :) !!
In a choir, the ratio of men to women is 4:3
The ratio of women to children is 5:9
What is the ratio of men to children?
Answer:
4:9
Step-by-step explanation:
There's 4 of men and 9 to children and 5 of women
marbles numbered from 1 to 12 are put in a bag. if marbles are not put back into the bag after being drawn, what is the probability of drawing two prime numbers in a row?
Answer:
[tex]Probability = \frac{1}{11}[/tex]
Step-by-step explanation:
Given
Marbles = 12
Selection without replacement
Required
Determine the probability of selecting 2 primes
Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11
So, when the first marble is picked, the probability that it will be prime is:
[tex]P(First) = \frac{4}{12}[/tex]
Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:
[tex]P(Second) = \frac{3}{11}[/tex]
The required probability is:
[tex]Probability = P(First) * P(Second)[/tex]
[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]
[tex]Probability = \frac{1}{11}[/tex]
This is a math riddle for pi day I can’t understand. There was one with the pi symbol in a pumpkin so it was obviously pumpkin pie, so what would this one be? Any ideas?
Answer:
This is the math riddle for pi..
Step-by-step explanation:
They mean by this question, What do you get if you divide the circumference of a pumpkin pie by its diameter?
Pi is the ratio of circumference and the diameter. and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.
We don’t really need the diagram at this stage of course.
The internal angle is 180o−360o / 24=180o−15o =1 65o . Half of this is 82.5o . The perimeter is now 24x so we have:
24 x /h = 24 / tan(82.5o) Rather remarkably:
So tan(82.5o) =√+2 + √+3+√+4+√+6
24 x / h = 24 / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421
Taking a few more steps:...very long detail explanation.
In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.
My name is Ankush kumar I am A boy
Can you please explain Number 7 with steps
Answer:
this is not exact because i Estimated the square root of 33
Step-by-step explanation:
Pls help due in 5 min
What is the total amount of the most common amount and the least common amount of milk drank daily?
Answer:
50/87
Step-by-step explanation:
Take a look at the picture. Please write your explanation.
Answer:
number of fourths in 3, 3÷ 1/4
Step-by-step explanation:
It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are
Juan spent 1 1/2 hours working on a project on Monday, 2 hours on Tuesday, and 2 3/4 hours on Thursday. How many hours did it take him to finish the project?
Answer:
Monday hours + Thursday hours = Total hours
1 1/2 + 2 3/4 = 3 + (? how do you add 1/2+3/4)
Now, you could convert to all improper fractions:
3/2 + 11/4
6/4 + 11/4 [4 is the Least Common Multiple of 2 and 4]
17/4
4 1/4 [then back to mixed numbers]
Or. you could add 1+2=3
and 1/2 + 3/4
2/4 + 3/4
5/4
1 1/4 [convert to mixed number]
3 + 1 1/4 = 4 1/4 [remember to add the 3]
Step-by-step explanation:
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Diameter of 24
76 in
75.4 in
38
37.7
Answer:
75.4
Step-by-step explanation:
Diameter * pi = circumference.
What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answer:
Step-by-step explanation:
y+4 = 3(x-2)
Use A=Pe^rt to solve
Find the accumulated value of an investment of $3000 at 4% compounded annually for 12 years.
A) $4618.36
B) $4320.00
C) $4440.00
D) $4803.10
Answer:
a
Step-by-step explanation:
40% of the trees are 300 trees. How many trees are 20%?
Answer:
150 trees
Step-by-step explanation:
If 40% of the trees is 300, you'd expect that 20% (half the percentage) is also half the trees.
Answer:
150 trees
Step-by-step explanation:
40 % / 2 = 20%
300 / 2 = 150 trees
Side 2. What is the sogel
What is the slope between the
points (2, 150) and (5,375)?
Answer:
75
Step-by-step explanation:
Use the slope formula (rise/run):
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(375 - 150)/(5-2) = 225/3 = 75
Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.
Answer:
yep true
Step-by-step explanation:
facts u know what u talking bout
A radio station plays 3 commercials for every 8 songs it plays. If they played 72 songs during the morning segment, how many commercials did they play?
Answer:
27
Step-by-step explanation:
What is the answer to -4(m+6) = -8
Answer:
m= -4
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
4(+6)=−8
4+24=−8
4+24=−8
4+24−24=−8−24
Subtract the numbers
4m = -32
1/3log125/8-2log2/5+log80/125
Answer:
1
Step-by-step explanation:
⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)
The above expression can be simplified as follow:
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
Recall:
a LogM = Log Mᵃ
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)
= Log(5/2) – Log(4/25) + Log(16/25)
Recall:
Log M – Log N = Log M/N
Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)
Log(5/2) – Log(4/25) = Log (5/2 × 25/4)
Log(5/2) – Log(4/25) = Log (125/8)
Therefore,
Log(5/2) – Log(4/25) + Log(16/25)
= Log (125/8) + Log(16/25)
Recall:
Log M + Log N = Log MN
Log (125/8) + Log(16/25)
= Log (125/8 × 16/25)
= Log 10
= Log₁₀10 = 1
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= 1
10
8
6
Distance (mi)
4
2.
o
20 30 40 50
Time (min)
The graph above shows Tomasso's rate
while jogging. Which of the following is an
ordered pair on the graph?
A (10, 1)
B (15, 3)
C (30,5)
Answer:
the answer should be A as thats what its showing on the graph
The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.
The cruising speed of the bullet train will be no less than 160 miles per hour. Use s to represent the train's cruising speed (in miles per hour).
Answer:
hi peps
Step-by-step explanation:
Help meeeeeeeeeeeeeeeeeeeeee
Answer:
The equation model for the transformed graph f(x) = -5×+ 3 -6.