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.
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305
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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- >
2X 14
2x 6 x 6 > 14
14 - 6
-2
- 2x o 7 8
X - 4
0 4)
3(244) + 1) 2 (2y 3) 8
Answer:
no te entiendo, puedes escribir la pregunta completa
(10 POINTS) answer ASAP if you can
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
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the
Answer:
x co-ordinate and y co-ordinate
What is m Angle Q B O? 5° 9° 12° 24°
Answer:
12
Step-by-step explanation:
1. If you earn $15 an hour and you work 35 hours a week, how much do you earn in 4 weeks?
Answer:
$2100
Step-by-step expla35 x 4 = 140 140 x 15 = 2100
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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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
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
I need help please help
Answer:
137
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!! :)
can you share 1 one with 6 groups
Answer:
it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh. in that sample 2 oranges weigh 5 ounces. How many oranges in the shipment can the manager predict weigh 5 ounces
The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.
Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.
Now set up a proportion;
2/25 = (x)700
Cross multiplication;
700(2)= 25(x)
1400/25=x
x=56
Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.
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Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.
Can someone please help me?
Answer:
86.
Step-by-step explanation:
nth term = a1 + d(n - 1) so here we have:
12the term = -2 + 8( 12 - 1)
= -2 + 88
= 86.
PLEASEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION
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
20% of what number is 30
Answer:
150
Step-by-step explanation:
20 percent of 150 is 30.
To check the answer... 150 times 0.2 is 30.
Answer:
150
20 percent of what number equals 30; Answer: 150.
Step-by-step explanation:
20% of what is 30?
Written using the formula: X = 30 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 30 ÷ 0.2.
X = 150.
So 20% of 150 is 30.
2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3
Answer:
Volume of cube = 125 cm³
Step-by-step explanation:
Given:
Side of cube = 5 cm
Find:
Volume of cube
Computation:
Volume of cube = side³
Volume of cube = 5³
Volume of cube = 125 cm³
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!
Select the correct answer from each drop-down menu.
If the radius of a circle is 3.5 Inches, Its diameter is
Inches and its approximate area is
square Inches.
Answer:
Diameter = 7 inches
Area = 38.48 in²
Step-by-step explanation:
Diameter = 3.5 x 2 = 7 inches
Area = 3.5² x π = 38.48 in²
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)