Answer:
156
Step-by-step explanation:
hopefully this is the answer you're looking for
Answer:
156
Step-by-step explanation:
the answer of the product of 12 and 13 is 156
A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .
What is a bell curve known for ?Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.
This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .
The rough sketch of the curve having the bell shape is shown attached to the question.
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Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *
Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
"Bobby, you should know that the minimum legal speed for this highway is 45 MPH, and the maximum legal speed is 65 MPH."
Inequalities help us to compare two unequal expressions. The inequality that represents the given statement is 45≤x≤ 65.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the maximum legal speed on the highway is 65 MPH, therefore, the value of x must not exceed 65 MPH.
x ≤ 65
Also, the minimum legal speed on the highway is 45 MPH, therefore, the value of x must not be less than 45 MPH.
45≤x
By combining the two inequalities, we will get,
45≤x≤ 65
Hence, the inequality that represents the given statement is 45≤x≤ 65.
The complete question is:
Write an inequality that accurately represents the following statement: "Bobby, you should know that the minimum legal speed for this highway is 45 MPH, and the maximum legal speed is 65 MPH."
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Given the geometric sequence an with the following information, find a7.
To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.
From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.
To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.
We can use the formula for the nth term of a geometric sequence:
An = A1 * r^(n-1)
In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.
Since we know A3 and the common ratio, we can substitute these values into the formula:
60 =\(A1 * (160/60)^(3-1)\)
Simplifying this equation, we have:
\(60 = A1 * (8/3)^260 = A1 * (64/9)\)
To isolate A1, we divide both sides of the equation by (64/9):
A1 = 60 / (64/9)
Simplifying further, we have:
A1 = 540/64 = 67.5/8.
Therefore, the first term of the sequence (A1) is 67.5/8.
Now that we know A1 and the common ratio, we can find Az using the formula:
Az = A1 * r^(z-1)
Substituting the values, we have:
Az =\((67.5/8) * (160/60)^(z-1)\)
However, we now have the formula to calculate it once we know the position z in the sequence.
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Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 7 centimeters by 3 and three-fifths centimeters by 2 and two-fifths centimeters.
What is the surface area of the prism?
Answer:
The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.
In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of 2(7) (3.6) + 2(7) (2.4) + 2(3.6) (2.4), which simplifies to 50.4 + 33.6 + 17.28, or 101.28 square centimeters.
So, the surface area of this rectangular prism is 101.28 square centimeters.
Received message. The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is `2lw + 2lh + 2wh`, where `l` is the length, `w` is the width and `h` is the height. In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of `2(7)(3.6) + 2(7)(2.4) + 2(3.6)(2.4)`, which simplifies to `50.4 + 33.6 + 17.28`, or **101.28 square centimeters**. So, the surface area of this rectangular prism is **101.28 square centimeters**.
Step-by-step explanation:
f(x)= - 4Sin(x)Cos (x) on (-Ï, Ï)
Required:
a. Find the critical numbers of f.
b. Determine the intervals on which is increasing and decreasing.
An engineer at an environmentally minded technology company has come up with a process to convert tire waste from the automobile industry into clean energy.
Which statement disputes the inference that pyrolysis is eco-friendly?
Tires have been banned from landfills for years.
The rubber crumbs recovered during pyrolysis have limited applications.
It costs more to recover resources from used tires through pyrolysis than other methods.
Pyrolysis consumes more resources to generate oil and recover rubber crumbs than it generates.
The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is-
"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".
What is Pyrοlysis?The pyrοlysis prοcess is the thermal decοmpοsitiοn οf materials at elevated temperatures, οften in an inert atmοsphere.
Given is that an engineer at an envirοnmentally minded technοlοgy cοmpany has cοme up with a prοcess tο cοnvert tire waste frοm the autοmοbile industry intο clean energy.
The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -
"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".
Therefοre, the detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -
"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".
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C= 3x2 + 10x - 32.7
Answer: True
Step-by-step explanation:
3 x 2 = 6
12.6 = 6x
6x = 5y
5y = 32
+
Answer:
C is -321 I hope this helps ^^
How many atoms in human body?
Solve the inequality 2x^2-6>0
Answer:0
Step-by-step explanation:
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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PLEASE HELP ME WORTH ALOT OF POINTS
The workers' union at a particular university is quite strong. About 96 of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 2 of the workers interviewed are union members?
The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
To solve this problem, we can use the binomial probability formula, which is:
\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)
where:
n is the sample size (number of workers being interviewed)
k is the number of successes we are interested in (in this case, 2 of the workers being union members)
p is the probability of success (in this case, the probability that a worker is a union member)
(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))
Plugging in the values, we get:
\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)
\(= (6) * (0.96)^2 * (0.04)^2\)
= 0.04403136
Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
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Xác suất xảy ra môt sự kiện là 0.3. Xác suất để sự kiện đó không xảy ra là?
Câu trả lời:
0,7
Giải thích từng bước:
Xác suất để một sự kiện xảy ra = 0,3
Cho sự kiện = A
P (A) = 0,3
Xác suất mà sự kiện không xảy ra có thể thu được bằng cách sử dụng quy tắc bổ sung;
P (A ') = 1 - P (A)
Vì thế,
P (A ') = 1 - 0,3 = 0,7
ion
ranco
7. Salina finds the range of the function
y = -4x2 + 8x + 7 by calculating the vertex.
Her work is shown in the box below.
Determine her error and find the range of the
function.
4
6
8
vertex: ( 1, 11)
range: y = 11
©Maneuvering the Middle LLC, 2020
Answer:
I don't know I just want my free answers
what is the awnser for
(1/2)4
the four is a exponent
Answer:
hello! :)
Exact form: 1/16
Decimal Form: 0.0625
You deposit $300 in a savings account. The account earns. 1% simple interest per year. What is the interest earned after 3 years? The balance after 3 years?
Please help, urgent
Answer:
9.09, 309.09
Step-by-step explanation:
Year1 300x.01=3. Balance is 303/(300+3)
Year2 303x.01=3.03 balance is 306.03
Year3 306.03x.01=3.06 balance=309.09
Answer:
Interest earned = $9
Balance after 3 years = $309
Step-by-step explanation:
For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.
I = PRT
I = (300)(0.01)(3)
I = 9
Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309
how do you change 79/8 to a decimal
Answer:
Divide 79 by 8
Step-by-step explanation:
79/8
= 9.875
factor step by step:
x^2+1
Answer:
(x + i) (x - i)
Step-by-step explanation:
The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.
To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.
We can rewrite x^2 + 1 as:
x^2 + 1 = x^2 - (-1)
Now, we can use the difference of squares formula to factor x^2 - (-1):
x^2 - (-1) = (x + i)(x - i)
Therefore, the factored form of x^2 + 1 is:
(x + i)(x - i)
You have discovered another alien. Find the correct rescue path before answering this question. Which statements are true about the equation of the line used to save this alien? The y-intercept is not visible on the graph. The slope does not exist for this line. The y-intercept is positive. The line crosses the x-axis at –3.
The correct answers are option A and option D.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
From the given graph it is clear that the spaceship is located at (-4,3). The alien is at (-2, -3).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 3 = (-3 -3 ) / (-2 + 4) x (x + 4)
y - 3 = -3x -12
y = -3x -9
The equation of the line is;
y = -3x -9 {equation 1}
Slope intercept form of a line is
y = mx + b {equation 2} ,
where m is the slope and b is the y-intercept.
On comparing the equation (1) and (2) we get
It means,
Slope = -3
y-intercept = -9
Points from -6 to 6 are labeled on y-axis. The y-intercept is -9, so it is not visible on the graph.
Option A is correct.
Substitute y=0 in equation (1) to find the x-intercept.
Divide both sides by 3.
x-intercept is -3. It means the line crosses the x-axis at -3.
Option D is correct
Therefore, the correct options are A and D.
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Question Jo Agri-Small Business limited expenses on petrol for their fleet is R 4850,00 at the end of September and they have a balance of R106 360,00 remaining in their account. The company has used 25% of its September income on Salanes, 11% on electricity, rates and taxes, and 42% of the remaining on Insurance and investments. The total income and expenditure in September are g. income is R193.236,00 and expenditure is R. 4.850,00 b. income is R 106360,00 and expenditure is 2299 596, 00 c. income is R106 360,00 and expenditure is R 4850,00 d Income is R299596,00 and expenditure is R193 236,00
The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.
How to find the Expense?We have to find the total income and expenditure in September.
The equation for insurance is mathematically given as :
Insurance = 42% of the balance
Insurance=0.42*0.64A
Insurance=0.2688A.
Total expenditure after all other expenditures = 0.64A-0.2688A
Total expenditures after all other expenditures = 0.3712A.
Total expenditures after all other expenditures is as 111210 (106360 +4850)
Equating both the equation and value:
111210 = 3712 A
A = 299596
Thus The total income is 299596.
Therefore the calculation of expense is given as:
Expense=0.25A+0.11A+0.2688A+4850
Expense=0.6288A+4850
=0.6288*299596+4850
=193236
The expense is 193236.
Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.
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Nolan feeds 6 carrots equally to 3 rabbits how many carrots dose each rabbits get
Answer:
2 carrots
Step-by-step explanation:
because if you have 3 rabbits and 6 carrots you have to to do 3x2 and it equals 6 and u can do it backwards 6/3 equals 2 so 2 is your answer.
HELP ASAP
Find the distance CD rounded
to the nearest tenth.
C = (4.7) D = (7,11)
CD = [?]
LITT
Answer:
I believe the answer is 5.
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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use your number sense to find the values for x and y that satisfy the equations.please help me with #1a-e
Given:
\(2x=8\)Find: Value of "x"
Sol:
\(\begin{gathered} 2x=8 \\ x=\frac{8}{2} \\ x=4 \end{gathered}\)So the value of x is 4.
To help open up a jewelry store, Ann borrowed money from a bank.
She took out a personal, amortized loan for , at an interest rate of , with monthly payments for a term of years.
For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Ann's monthly payment.
(b) If Ann pays the monthly payment each month for the full term, find her total amount to repay the loan.
(c) If Ann pays the monthly payment each month for the full term, find the total amount of interest she will pay.
(a) Ann's monthly payment: $133.33
(b) Ann's total amount to repay the loan:$8000
(c) The total amount of interest Ann will pay:-$12000
What is amortized loan?
A loan that has planned, monthly payments that are applied to both the principle and interest accrued is known as an amortized loan.
To solve this problem, we need to use the following formula for an amortized loan:
\(Monthly\ payment = (Interest rate / 12) * Loan\ amount / (1 - (1 + (Interest \ rate / 12))^(-Term * 12))\)
(a) Find Ann's monthly payment:
Substituting the given values into the formula, we get:
\(Monthly\ payment = (0.08 / 12) * 20000 / (1 - (1 + (0.08 / 12))^(-5 * 12))\\\\Monthly\ payment = 133.33\)
Therefore, Ann's monthly payment is $133.33.
(b) Find Ann's total amount to repay the loan:
The total amount to repay the loan is equal to the sum of the monthly payments over the term of the loan. Since Ann's monthly payment is $133.33 and the term of the loan is 5 years, the total amount to repay the loan is equal to $133.33 * 5 * 12 = $8000.
(c) Find the total amount of interest Ann will pay:
The total amount of interest Ann will pay is equal to the total amount to repay the loan minus the loan amount. Since Ann's total amount to repay the loan is $8000 and the loan amount is $20000, the total amount of interest Ann will pay is equal to $8000 - $20000 = -$12000.
Note that the total amount of interest Ann will pay is a negative number because the loan amount is greater than the total amount to repay the loan. This means that Ann will end up paying less than the loan amount due to the amortization of the loan.
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Determine the type and number of solutions: 5x2−3x−4=0
Answer:
Being a quadratic equation, this will always have two solutions. In this case, they are complex numbers, 0.3 + 0.84261497731764i
0.3 - 0.84261497731764i.
last question please help.
Answer:
x = 2
Step-by-step explanation:
By BPT
\( \frac{x + 1}{x} = \frac{6}{4} \\ \\ 4x + 4 = 6x \\ \\ 4 = 6x - 4x \\ \\ 4 = 2x \\ \\ x = \frac{4}{2} \\ \\ x = 2\)