Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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Find the equation of the line.
Use exact numbers.
Answer:
(0,-3) and (6,0)
Step-by-step explanation:
Now you use two point form to make equation
Y2-Y1/Y-Y1=X2-X1/X-X1
here Y2=0 ,Y1=-3
X2=6 and X1=0 now put in equation to get answer
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
GIVING BRAINIEST!!!!!!!!!!!! 3 times the difference of 4g and 4 is less than -6 times the sum of -3g and 4!
Answer:
3(4g-4)<-6(-3g+4)
Find the slope of a line perpendicular to the equation: 3x – 2y = 6
Answer:
3/2x
Step-by-step explanation:
The distance in New York is 3 hours ahead of the distance in LA. The miles between the cities is 7,120. A plane left New York at 6:25a.m. and arrived at 8:25a.m. local time. At what speed did the plane travel?
PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS
What is the answer to 2.5 divided by 5
0.5 is the value of 2.5 by 5.
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find the solution when 2.5 divided by 5.
2.5/5
2.5 is the numerator and 5 is the denominator.
5 is the divisor and 2.5 is the dividend.
Zero point five is the value of 2.5 by 5.
0.5 is the value of 2.5 by 5.
Hence, 0.5 is the value of 2.5 by 5.
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find the measure of each given angle
9514 1404 393
Answer:
∠2 = 19°
Step-by-step explanation:
Angles that are equal to 161° are vertical and corresponding angles: 1, 4, 5.
Angles that are equal to the supplement of 161° are the remaining angles: 2, 3, 6, 7.
Angle 2 is the supplement of 161°:
∠2 = 180° -161°
∠2 = 19°
What is m Angle Q B O? 5° 9° 12° 24°
Answer:
12
Step-by-step explanation:
(10p+10)+(8p−1) factored?
anyone know, please, i need this for school..
Answer:
the answer is
9(2p+1)
Answer:
18p +9
Step-by-step explanation:
Because you add the numbers in front of the p's (10+8) and then you add 10 plus -1, which is 9.
Hope this helps! Have a good day and remember to be tiger fierce!! :)
The sum of 8 and t
help anyone??
Answer:
8 + tStep-by-step explanation:
The sum of 8 and t ⇒ 8 + t
Which is the largest interval over which the function shown in the table is decreasing?
Answer:
c
Step-by-step explanation:
Because to make the same we have to have x as 1 which is x>0
Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?
The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.
Let 'x' be the number of pages to be read. Then the equation is given as,
x + 73 + 89 = 295
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Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?
Answer:
Carlos born in 1944
Julio born in 1945
Ricky born in 1946
Step-by-step explanation:
x = Carlos age
x+1 = Julio age
x+2 = Ricky age
x + x+1 + x+2 = 129
3x + 3 = 129
3x = 126
x = 42 (Carlos age)
x+1 = 43 (Julio age)
x+2 = 44 (Ricky age)
1990 - 42 = 1944 (year Carlos born)
1990 - 43 = 1945 (year Julio born)
1990 - 44 = 1946 (year Ricky born)
Martha ran 2 miles in 15 minutes.
At this rate, how many miles
would she run in 2 hours?
Need help on this question
The measure of c is
.
Answer:
10
Step-by-step explanation:
6^2=36
8^2=64
64+36=100
The square root of 100 is 10
Help me ! This is due today
Answer:
y = 1/4 x + 1
The slope is 1/4, and the y intercept is 1.
Let me know if this helps!
The principal of a high school e-mails a survey to all parents asking them to vote on the best time to have the PTA meeting. She only receives responses from 56% of the parents. Describe how the design of the survey leads to bias.
A. A nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
B. A nonresponse error was made in this design. This type of sampling only represents the parents at this school and not the entire population.
C. A convenience sample error was made in this design. This type of sampling only represents the parents with e-mail addresses and not the entire population.
D. An undercoverage error was made in this design. This type of sampling only represents the parents in the city and not the entire population.
E. There are no potential areas of bias.
Answer:
A
Step-by-step explanation:
The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT
Option B is correct, f(x) = 2ˣ is an exponential parent function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential parent function is of the form:
f(x) = aˣ
where a is a positive constant (the base of the exponential function).
Among the given options, the exponential parent function is,
⇒ f(x) = 2ˣ,
Because it has the form of an exponential function, where the base is 2.
f(x) = x is a linear function, not an exponential function.
f(x) = |x| is an absolute value function, not an exponential function.
f(x) = x² is a quadratic function, not an exponential function.
Hence, f(x) = 2ˣ is an exponential parent function, Option B is correct.
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Triangle Theorems please!!!!!!
Answer:
x = 8
Step-by-step explanation:
Will Give Brainliest if you anwser the question before 12:45
Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
(Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add: [tex]\displaystyle \frac{50}{100}[/tex]Simplify: [tex]\displaystyle \frac{1}{2}[/tex]A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]
So the correct answer is given by:
approximately Normal with mean 0.35
Mrs. Jones is 4 times as old as her son. The sum of their ages is 50 years. How old was Mrs. Jones when her son was born?
Answer:
30
Step-by-step explanation:
is mrs. jones is 40, her son is 10, sum = 50.
ten years before son was 0, mrs. jones was 30
(10 POINTS) answer ASAP if you can
Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?
Answer:
90 dollars
Step-by-step explanation:
I did maths hghbhhbghfggghggfgy
18. Let f(x) = ax? + bx-6 and 0 (x) = bx2 + ax.
If x-2 divides f(x) completely but leaves
the remainder -12 when it divides $(x),
then factorise f (x) + 0 (x) + 2x2.
Step-by-step explanation:
the number of members in A municipal corporation depends upon the _______ city
A figure was translated 4 units down and 3 to the left then reflected over the y-axis. The figures are
Answer:
Congruent and similar
Step-by-step explanation:
because you did not change anything about the shape that shape is still the same size and shape just in a different spot
27. The traffic officer issued violation tickets to traffic
violators. If 68 of them composed 80% of the total
violators, how many violators are there in all?
A. 83
B. 84
C. 85
D. 86
28. There are 18 roses in a bunch of 24 flowers.
What percent of the flowers are roses?
A. 18%
B. 24% C. 60% D. 75%
29. A number is 20% of 50. What percent it is to
200?
A. 5%
B. 10% C.15% D. 20%
Please help
I really need it I'm gonna give u Brainliest
Answer:
27. C
28. D
29. A