Calculate the mean for each set of data.
a 12, 18, 9, 14, 8, 7
Answer:
11.3, rounded
Step-by-step explanation:
mean = average. Add them all up, then divide by how many entries/data points you have.
12 + 18 + 9 + 14 + 8 + 7 = 68
There are 6 numbers we added, so 68/6 = 11.3333333
Please let me know if you have questions.
A 2-mile walking trail has a distance marker every 1\4 mile. How many markers are along the trail?
Answer: 8
Step-by-step explanation:
From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl
The number of markers that are along the trail will be calculated as:
= Length of walking trail / interval of distance marker
= 2 ÷ 1/4
= 2 × 4
= 8
There are 8 markers along the trail.
How many words can be formed from the letters of the word 'ENGLISH' ? How many these do not begin with E? How many of these begin with E and do not end with H?
Total Number of words made out of English = 93
9k^2+11k-36k-44 ????
Answer:
[tex]9k^{2} - 25k - 44[/tex]
Step-by-step explanation:
What is the image point of (9,5) after a translation right 4 units and up 4
units?
Answer:
5,9
Step-by-step explanation:
What is the answer. No links please.
Answer:
24 + 50 = 74 cm³
Step-by-step explanation:
I split the irregular figure into two separate shapes and found the volume of each and then added the values, I am most certain the answer would be 74 cm³, I apologize if it isn't.
Convert.
32 ft =
yd
ft Helpp
Answer:
10.667 yards
Step-by-step explanation:
what is m∠ BAC???????
Answer:
36 degrees
Step-by-step explanation:
I’m pretty sure that’s it
The area of the square is
........ square centimeters.
9.5 cm
9.5 cm
someone help pls, :((((
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-1))
Answer:
78
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped
can someone pleease help my teacher will not help me.
Answer:
The perimeter is 206.
Step-by-step explanation:
When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.
help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
can someone help me please I don’t understand
Answer:
answer is 3.144
Step-by-step explanation:
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
i wasnt paying attention in math class and now I cant do my assignment ahh
Answer:
336m^2
Step-by-step explanation:
base x height + (side1 + side2 + Height)Length
Please answer! Answer choices are: A, B, C
Answer:
A
Step-by-step explanation:
helppp! I literally can’t find anything in Brainly I’m dead failing does someone at le
Answer:
C
Step-by-step explanation:
volume of a cone = πr²[tex]\frac{h}{3}[/tex]
so 20² x π x [tex]\frac{35}{3}[/tex] = 14660.76572
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
yes i think
Step-by-step explanation:
What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
7,000 - 2,386 = 4,614
0.4209" to the nearest common fraction
Answer:
4209/10000
Step-by-step explanation:
42.09%=4209/10000
help please!!
Integrate the following:
[tex] \displaystyle \int {x}^{2} {e}^{x} dx[/tex]
Answer:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]
Step-by-step explanation:
we want to integrate the following integration:
[tex] \displaystyle \int {x}^{2} \cdot {e}^{x} dx[/tex]
notice that, the integrand is in the multiplication of two different function in that case we can consider integration by parts given by:
[tex] \rm \displaystyle \int u \cdot v \: dx = u \int vdx - \int u' \left( \int v dx \right)dx[/tex]
where u' can be defined by the differentiation of u
now we have to choose our u and v
which can be chosen by using the guideline:ILATE Inverse trig. , Logarithm, Algebraic expression, Trigonometry, Exponent.
since x comes first thus,
[tex] \displaystyle u = {x}^{2} \quad\text{and} \quad v = {e}^{x} [/tex]
by figuring out the defferentiation of u,we acquire:
[tex] \displaystyle u' = 2x[/tex]
altogether we get:
[tex] \rm \displaystyle \int {x}^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int 2x \left( \int {e}^{x} dx \right)dx[/tex]
by figuring out the parentheses integration
we get:
[tex] \rm \displaystyle \int x^2 \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int2x \cdot {e}^{x} dx[/tex]
now we again have integration of two different functions so let's choose our u and v once again which can be done using the guideline
[tex] \displaystyle u = 2x \quad\text{and} \quad v = {e}^{x} [/tex]
by figuring out the defferentiation of u
we acquire:
[tex] \displaystyle \: u' = 2[/tex]
altogether we get:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x \int{e}^{x} dx- \int2 \left( \int{e}^{x}dx \right) dx \right)[/tex]
by solving parentheses we get
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x {e}^{x} - 2 e^{x} dx \right)[/tex]
by figuring out the integral we get:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- \left( 2x {e}^{x} - 2 e^{x} \right)[/tex]
remove parentheses:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} [/tex]
at last we of course have to add constant of integration:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]
and we are done!
Answer:
[tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigTabular IntegrationStep-by-step explanation:
*Note:
The answer below me is correct, but there is a simpler method of obtaining the answer.
Step 1: Define
Identify
[tex]\displaystyle \int {x^2e^x} \, dx[/tex]
Step 2: Integrate
Use tabular integration.
[Integrand] Differentiate/Integrate [Tabular Integration]: [tex]\displaystyle \\\begin{center}\begin{tabular}{ c | c }\line{u & dv} \\\cline{1 - 2} x^2 & e^x \\\ 2x & e^x \\\ 2 & e^x \\\ 0 & e^x\end{tabular}\end{center}[/tex]Write out expansion [Tabular Integration]: [tex]\displaystyle \int {x^2e^x} \, dx = x^2e^x - 2xe^x + 2e^x + C[/tex]Factor: [tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Solve for x and show work.
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
Solve for x
3x + 9
x=
33
30
27
Answer:
Please can you complete the question
Find the value of x.
Answer:
The answer would be X= -7 .
Step-by-step explanation:
Hope it helps :)
I need help on this ASAP
75cm²
Explanation:
10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.
Answer:
75cm²
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.
To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.
Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.
A = √[s(s-a)(s-b)(s-c)]
= √[8(21. 5-10)(21.5 -15)(21. 5-18)]
= √[21.5 × 11.5 × 6.5 × 3.5]
= √(5625)
≈ 7.5
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
Answer:
1. B. The bag of candy produced last Monday is different from the standard bag.
2. A. The bag of candy produced last Monday are like the standard bag.
3. B. The bag of candy produced last Monday is different from the standard bag.
Step-by-step explanation:
Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
To find - 1. What is the alternate hypothesis for this exercise?
2. What is the null hypothesis for this exercise?
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance). What is your conclusion about the bags based on this result?
Proof -
1.
The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.
2.
The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.
3.
The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.
If 5x + 1 = 21 then x =
Answer:
X would equal 4
Step-by-step explanation:
5 x 4 is 20. And the equation was 5x + 1 = 21.
So, the answer would equal 20. Hope this helped!! :D
Answer:
x=4
Step-by-step explanation:
Start with your equation: 5x+1=21
Subtract 1 on both sides: 5x=20
Divide by 5 on both sides: x=4
Hope I helped
Work out the area of this circle.
Give your answer in terms of it and state its units.
14 cm
Answer:
area = 153.94
Step-by-step explanation:
Diameter = 14. Half of 14 is 7, so radius = 7.
Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804
What is the volume of a rectangular prism with a length of 2.5 cm, a width of 3.1 cm and a height of 1.2 cm?
A. 7.75 cm³
B. 8.1 cm³
C. 8.3 cm³
D. 9.3 cm³