what is mn+p answer algebra?
Answers
We treat it as a general algebraic expression that represents the sum of the product of "m" and "n" with the constant term "p."
In algebra, the expression "mn + p" represents a simple mathematical operation involving two variables, "m" and "n," and a constant term "p." To find the value of this expression, we need more information such as the specific values assigned to the variables or any additional constraints.
When dealing with an algebraic expression like "mn + p," we can perform various operations depending on the context. If we know the values of "m," "n," and "p," we can substitute those values into the expression and simplify it to a single numerical result. For example, if we assume that "m = 3," "n = 2," and "p = 5," then the expression "mn + p" becomes "3 * 2 + 5." By evaluating the expression further, we get "6 + 5," which simplifies to "11."
The purpose of simplifying the algebraic expression is to find the simplified term of the given expression. To factorize or simplify the expression, we should first know how to combine the like terms, factor a number, order of operations. In combining like terms, the variables with the same degree are gathered together, and the constant terms are separated for the simplification process.
We cannot determine a unique numerical answer for the expression "mn + p." Instead, we treat it as a general algebraic expression that represents the sum of the product of "m" and "n" with the constant term "p."
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Related Questions
The following information applies to Question 21 and Question 22. 4 F The current price of a non-dividend paying stock is So $20, the stock volatility is a 20%, and the continuously compounded risk free rate for all maturities is r = 6%. Consider a European option on this stock with maturity 9 months and payoff given by Payoff max(U0.25-20,0) H where U₂ = Ster (0.75-t) for 0 ≤t≤ 0.75 and r is the risk free rate. That is, U, is the price of the stock at time t pushed forward to option maturity at the risk-free rate. 3 pts Question 21 Show that the payoff can be rewritten as Payoffer max(So.25-20e 0.5, 5,0).
Answers
the maximum value between 5.39 and 0 is 5.39, therefore the maximum value of the Payoff will be 5.39. Thus, the payoff can be rewritten as:
Payoff = max(So.25 - 20e 0.5, 5,0).
The below is the solution to the given problem.
As per the problem, U(t) = So * e^rt
From this formula, the value of U(0.75) can be calculated as follows:
U(0.75) = So * e^(0.06 × 0.75)U(0.75) = So * e^0.045U(0.75)
= 20 * e^0.045U(0.75)
= 21.1592
Hence, we have U(0.75) = 21.1592.
Now, we can easily determine U(0.25) as follows:
U(0.25) = Ster (0.75 - 0.25)U(0.25)
= Ster 0.5U(0.25) = 2.23607
Now, we can find the value of the option at the maturity of 9 months as follows:
Payoff = max(U(0.25) - 20, 0)
= max(2.23607 - 20, 0) = 0
Now, we can rewrite the formula for the payoff as:
Payoff = max(So × e^0.5 - 20, 0)
= max(20 × e^0.5 - 20, 0)
= 5.39
Since the maximum value between 5.39 and 0 is 5.39, therefore the maximum value of the Payoff will be 5.39. Thus, the payoff can be rewritten as:
Payoff = max(So.25 - 20e 0.5, 5,0).
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You start at (2, -2). You move up 5 units and down 5 units. Where do you end?
Answers
Characteristics of vectors:
Self replicating, multiple copies.Replication origin site.Cloning site.Selectable marker gene.Low molecular weight.Easily isolates and purifies.Easily isolates into host cells.Step-by-step explanation:Moving up 5 units and then back down 5 units you would be in the original starting location.
Answer (2,-2)
please help me with B im stuck
Answers
Answer:
A = 160
Step-by-step explanation:
Formula 1/2 d1d2
1/2 (16 x 20)
320 x 1/2 OR 320/2
=160
Hope this helps :)
In large restaurant an average of3 out every 5 customers ask water with their meal. Random sample of 10 customers were selected. What is the probability that exactly 6patients at least 2 patients
Answers
The probability that exactly 6 patients is 2.0669, and the probability that at least 2 patients is 0.0017.
In large restaurants, an average of 3 out of every 5 customers ask for water with their meal. A random sample of 10 customers was selected. We need to estimate the probability that exactly 6 patients and at least 2 patients. The given situation is a binomial distribution since the experiment has only two outcomes, success or failure.
Here, Success is defined as requesting water with a meal, and failure as not requesting water with a meal. The probability of success is p = 3/5 = 0.6 and the probability of failure is q = 1 - p = 1 - 0.6 = 0.4. Let X be the number of patients requesting water with a meal out of 10 patients selected.
P(X = 6) = 10C6 (0.6) (0.4)⁴
= 210 × 0.31104 × 0.0256
= 2.0669P(X ≥ 2)
= P(X = 2) + P(X = 3) + .... + P(X = 10)P(X ≥ 2)
= 10C2 (0.6)² (0.4)⁸ + 10C3 (0.6)³ (0.4)⁷ + ..... + 10C10 (0.6)¹⁰ (0.4)⁰ P(X ≥ 2)
= 0.0022 + 0.0185 + 0.0881 + 0.2353 + 0.3454 + 0.2508 + 0.0986 + 0.0180 + 0.0016P(X ≥ 2)
= 1 - P(X < 2)P(X < 2) = P(X = 0) + P(X = 1)P(X < 2)
= 10C0 (0.6)⁰ (0.4)¹⁰ + 10C1 (0.6)¹ (0.4)⁹ P(X < 2)
= 0.0001 + 0.0016P(X < 2)
= 0.0017
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I need help with this
Answers
Answer:
7/3
Step-by-step explanation:
Use keep change flip
7×3=21 9×1=9
21/9=7/3
\(\frac{7}{9}\)
Remember the rule for dividing fractions, keep, change, flip.
Keep the first fraction, change the division sign to a multiplication sign, flip the 2nd fraction, or find the reciprocal of the second fractions.
\(\frac{7}{9}\)÷\(\frac{1}{3} = \frac{7}{9} * \frac{3}{1} = \frac{21}{3} = 7\)
PLEASE SHOW FULL SOLUTIONS FOR BOTH QUESTIONS AND ONLY ANSWER IF YOU KNOW! NO CALCULUS PLEASE! THAT WOULD BE VERY APPRECIATED!!
Answers
Answer:
5. 3 cm × 2 cm × 7 cm
6. f(x) = x³ -3x² -x +3
Step-by-step explanation:
You want the dimensions of a cuboid with edges marked (x-1), (x-2), and (x+3) and a volume of 42 cm³. You also want the coefficients of a monic cubic f(x) with values f(2) = -3, f(-3) = -48, and f(-1) = f(1).
5. CuboidThe volume of the cuboid is the product of its dimensions, so we have ...
V = LWH
42 = (x -1)(x -2)(x +3)
The value of x can be found as the solution to this equation. A graphical solution is attached. It shows x=4, so the dimensions are ...
4 -1 = 3
4 -2 = 2
4 +3 = 7
The dimensions of the cuboid are 3 cm by 2 cm by 7 cm.
Note that the prime factors of 42 are 2, 3, 7, which have the required differences. You don't really need a polynomial to guess these are the dimensions.
The expanded polynomial is x³ -7x -36 = 0, so potential rational roots will be from the set {1, 2, 3, 4, 6, 9, 12, 18, 36}. An estimate of the upper bound of the real root puts it at ∛36 +√7 ≈ 5.9. We require x > 2, so the viable choices for testing are 3 and 4. x=4 is the solution.
6. CoefficientsThe remainder theorem tells you that the remainder from dividing f(x) by (x-a) is f(a). To obtain linear equations in b, c, d, we can rearrange the function to ...
bx² +cx +d = -x³ +f(x)
For x = ±1, we know the remainders f(x) are the same, so we can look at the difference of the equations for these x-values.
(b(-1)² +c(-1) +d) - (b(1)² +c(1) +d) = (-(-1)³ +f(-1)) - (-(1)³ +f(1))
b -b -c -c +d -d = 1 -(-1)
-2c = 2
We can fill in values x=2, x=-3 to get two more equations in b, c, d. The coefficients of the three equations we have for the three unknowns are shown in the second attachment. The third attachment shows the solution of these equations is (b, c, d) = (-3, -1, 3).
The table in the first attachment confirms the remainders using these coefficients.
__
Additional comment
For problem 6, we started out using synthetic division, then realized the resulting equations are the same as those developed using the rearranged form shown above. We like to let calculators and spreadsheets do the tedious arithmetic where possible.
Answer:
5)The dimensions of the rectangular prism are 3 , 7 and 2.
6) f(x) = x³ - 3x² - x + 3
Step-by-step explanation:
5) The volume of rectangular prism = l*w*h.
l*w*h= 42
(x- 1)(x -2)(x+3) = 42
We can find (x - 2) *(x + 3) using the identity (x + a)(x + b) = x² + (a +b)*x + ab
(x - 2)(x + 3) =x² + (-2 +3)x + (-3)*2
= x² + 1x - 6
(x -1)(x + 3)(x - 2) = 42
(x - 1)(x² + x - 6) = 42
x*x² + x*x - 6*x + (-1)*x² + (-1) *x + (-1)(-6) = 42
x³ + x² - 6x - x² - x + 6 - 42 = 0
x³ + x² - x² - 6x - x + 6 -42 = 0
Combine the like terms,
x³ - 7x - 36 = 0
Find the zeros of the cubic polynomial by synthetic division method.
4 1 0 -7 -36
4 16 36
1 4 9 0
x - 4 is zero of the polynomial.
Ignore the quadratic polynomial x² + 4x + 9 as it will have irrational roots(zeros) and dimensions will be always positive integer.
x - 4 = 0
x = 4
length = x - 1 = 4 - 1 = 3
Width = x + 3 = 4 + 3 = 7
Height = x - 2 = 4 - 2 = 2
The dimensions of the rectangular prism are 3 , 7 and 2.
6) f(x) = x³ + bx² + cx + d
It is given that when f(x) is dived by x + 1 and x- 1, the remainders are same.
x + 1 = 0 ; x - 1 = 0
x = -1 ; x = 1
f(-1) = f(1)
-1 + b - c + d = 1 + b + c + d
-1 -1 + b - b - c - c + d - d = 0
-2 - 2c = 0
-2c = 2
c = 2 ÷ (-2)
\(\boxed{c = -1}\) -------------(I)
It is given that when f(x) divided by ( x - 2) it leaves a remainder (-3)
f(2) = -3
8 + 4b + 2c + d = -3
8 + 4b + 2*(-1) + d = -3 {from (I)}
8 + 4b - 2 + d = -3
4b + d = -3 + 2 - 8
4b + d = -9 -------------(II)
It is given that when f(x) divided by ( x + 3) it leaves a remainder (-48).
f(-3) = -48
-27 + 9b - 3c + d = -48
-27 + 9b - 3*(-1) +d = -48 {From (I)}
-27 + 9b + 3 + d = - 48
9b + d = -48 + 27 - 3
9b + d = -24 --------------(III)
Subtract equation (III) from equation (II),
(II) 4b + d = -9
(III) 9b + d = -24
- - +
-5b = 15
b = 15 ÷ (-5)
\(\boxed{b=-3}\)
Plugin b = -3 in equation (II),
4*(-3) + d = -9
-12 + d = -9
d = -9 + 12
\(\boxed{d = 3}\)
\(\boxed{\bf f(x) = x^3 - 3x^2 -x + 3 }\)
Find 4+(−123). Write your answer as a fraction in simplest form.
Answers
Answer:
the answer is -119
But, I don't know it as a fraction
Answer:
-20/3
Step-by-step explanation:
4 + (−1 2/3)
= 4 + (-5/3)
= -4/1 × 5/3
= -20/3
Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?
A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles
Answers
The shortest distance Jill travels is 25 miles.
What is miles?Miles are a unit of distance measurement, typically used to measure the distance between two locations or to measure the length of a journey. Miles are commonly used in the United States and the United Kingdom, although other countries may use other units of measurement such as kilometers. Miles are equal to 1.609 kilometers.
To get from her house to the airport, she would need to travel about 16 miles. From the airport, she would then need to travel an additional 9 miles to get to City Hall. Therefore, the shortest distance for Jill to travel is 25 miles.
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PLEASE ANSWER QUICKLY ASAP
please read question carefully
Answers
Answer:
340 im pretty sure
Step-by-step explanation:
how many functions are there from a set with 4 elements to a set with 8 elements?
Answers
There are 4096 functions from a set with 4 elements to a set with 8 elements.
To find the number of functions from one set to another, we use the formula:
Number of functions = (Number of elements in the codomain)Number of elements in the domain
In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:
Number of functions = 84
Number of functions = 4096
Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.
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Use the function below to find F(4).
F(x)=5•(1/3)^x
A.20/3
B.20/81
C.5/81
D.5/12
Answers
Answer:
. θ , F(x)=1 − e−x.
Step-by-step explanation:
Answer:
5/81
Step-by-step explanation:
3. A toroid of inner radius R1 and outer radius R2 is such that any point P, in the toroidal axis is at a distance r from its geometric center, C. Let N be the total number of turns.
a. What is the magnetic field at point P.
b. Suppose the toroid is abruptly cut long the blue line at a distance (as measured along the toroidal axis) of a quarter of the circumference away from P. By doing so, the toroid has been transformed into a solenoid. For this purpose, assume that the toroid is thin enough that the values of the inner and outer radius, as well as r, are close though not necessarily equal.
"
Answers
The magnetic field at point P in the toroid is given by (μ₀ * N * I) / (2πr), and when the toroid is transformed into a solenoid, the magnetic field inside the solenoid remains the same, given by (μ₀ * N * I) / L, where L is the length of the solenoid corresponding to a quarter of the toroid's circumference.
a. The magnetic field at point P, located on the toroidal axis, can be calculated using Ampere's Law. For a toroid, the magnetic field inside the toroid is given by the equation:
B = (μ₀ * N * I) / (2π * r)
where B is the magnetic field, μ₀ is the permeability of free space, N is the total number of turns, I is the current flowing through the toroid, and r is the distance from the toroidal axis to point P.
b. When the toroid is cut along the blue line, a quarter of the circumference away from point P, it transforms into a solenoid. The solenoid consists of a long coil of wire with a uniform current flowing through it. The magnetic field inside a solenoid is given by the equation:
B = (μ₀ * N * I) / L
where B is the magnetic field, μ₀ is the permeability of free space, N is the total number of turns, I is the current flowing through the solenoid, and L is the length of the solenoid.
a. To calculate the magnetic field at point P in the toroid, we can use Ampere's Law. Ampere's Law states that the line integral of the magnetic field around a closed loop is equal to the product of the permeability of free space (μ₀) and the total current passing through the loop.
We consider a circular loop inside the toroid with radius r and apply Ampere's Law to this loop. The magnetic field inside the toroid is assumed to be uniform, and the current passing through the loop is the total current in the toroid, given by I = N * I₀, where I₀ is the current in each turn of the toroid.
By applying Ampere's Law, we have:
∮ B ⋅ dl = B * 2πr = μ₀ * N * I
Solving for B, we get:
B = (μ₀ * N * I) / (2πr)
b. When the toroid is cut along the blue line and transformed into a solenoid, the magnetic field inside the solenoid remains the same. The transformation does not affect the magnetic field within the coil, as long as the total number of turns (N) and the current (I) remain unchanged. Therefore, the magnetic field inside the solenoid can be calculated using the same formula as for the toroid:
B = (μ₀ * N * I) / L
where L is the length of the solenoid, which corresponds to the quarter circumference of the toroid.
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Find the area of the figure.
Answers
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width
\( = 3.5 \times 3 \\ = 10.5 {mm}^{2} \)
Area of Quarter- Circle = 1/4 x Area of Circle
\( = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} \)
Area of Rectangle at the right = Length x Width
\( = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} \)
Total Area = Area of 2 Rectangles + Area of Quarter Circle
\( = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} \)
I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
Which is a factor of 3x^3+5x^-27x-45
Answers
Step-by-step explanation:
c
Answer:
c.3x+5
A.x+3
D.x-3
Step-by-step explanation:
NEED HELP ASAP!!!!
PLEASE
Answers
Answer:
The slope is -4
Step-by-step explanation:
rise over run
4 down, 1 right
Name the slope of a line parallel to y = -3x -2
Answers
The parallax measurement for Alpha Chucktoris is 0.025 arcseconds. Therefore, its distance, in parsecs, is
Answers
The distance of Alpha Chuctoris is 40 parsecs.
The parallax measurement for Alpha Chuctoris: 0.025 arcseconds.
To find the distance of the Alpha Chuctoris, use the formula:d = 1/p
Where p is the parallax, and d is the distance in parsecs.Substitute the given parallax measurement to get the distance:d = 1/0.025d = 40 parsecs
Therefore, the distance of Alpha Chuctoris is 40 parsecs.SummaryAlpha Chuctoris has a parallax measurement of 0.025 arcseconds.
The distance of Alpha Chuctoris can be calculated using the formula: d = 1/p.
Substituting the given parallax measurement in the formula, we get the distance to be 40 parsecs.
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whitch inequality represents this situation
Answers
Option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
The given rectangle is ABCD.
The length of segment AB is 9x-16 units
The length of segment AD is 1.5x+42 units
We have to find the inequality which represents the length of segment AB is greater than length of segment AD
> is the symbol used to represent greater than
AB>AD
9x-16>1.5x+42
Hence, option B is correct, the inequality which represents the length of segment AB is greater than length of segment AD is 9x-16>1.5x+42
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Which method correctly solves the equation using the distributive property? Negative 0. 2 (x minus 4) = negative 1. 7 Negative 0. 2 (x minus 4) = negative 1. 7. Negative 0. 2 x minus 4 = negative 1. 7. Negative 0. 2 x = 2. 3. X = negative 11. 5. Negative 0. 2 (x minus 4) = negative 1. 7. X minus 4 = 0. 34. X = 4. 34. Negative 0. 2 (x minus 4) = negative 1. 7. Negative 0. 2 x 0. 8 = negative 1. 7. Negative 0. 2 x = negative 2. 5. X = 12. 5. Negative 0. 2 (x minus 4) = negative 1. 7. Negative 0. 2 x minus 0. 8 = negative 1. 7. Negative 0. 2 x = negative 0. 9. X = 4. 5.
Answers
The method which is used to solve the provided equation using the distributive property is,
\(\rm x = 4 + 8.5 = 12.5\)
What is distributive property?The distributive property is to make something easier to do or understand and to make something less complicated.
The given expression is \(\rm - 0.2(x-4) = -1.7\).
The expression can be written as
\(\rm 0.2(x-4) = 1.7\)
Divide both sides by 0.2
\(\rm x-4 = \dfrac{1.7}{0.2} = 8.5\)
Add 4 both sides, we have
\(\rm x = 4 + 8.5 = 12.5\)
Thus, the value of x is 12.5.
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Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in
producing large tubes of toothpaste.
O 2.1.3.4
O 4.1,2,3
O 4,3,1,2
Answers
The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.
Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.
Toothpaste company
Large tubes
Small tubes
1) Sparkling
100 per hour
200 per hour
2) Bright White
100 per hour
250 per hour
3) Fresh!
200 per hour
250 per hour
4) Mint
150 per hour
150 per hour
Formula for comparative advantage is
CA=rate of producing large tubes/rate of producing small tube
For 1 Sparkling:
CA = 100/200
CA = 0.5
For 2 Bright White:
CA = 100/250
CA = 0.5
For 3 Fresh:
CA = 200/250
CA = 0.8
For 4 Mint:
CA = 150/150
CA = 1
thus, to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2.
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Complete question:
Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in
producing large tubes of toothpaste.
2.1.3.4
4.1,2,3
4,3,1,2
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The figure below shows the dimensions of a section of Mr. Green's gardent that he will use for planting flowers. What is the area of Mr.
Green's garden that he will use?
Answers
Answer:
39
Step-by-step explanation:
Julie is a member of a swim club. The swim club
charges a monthly fee of $15 plus $0.50 per hour
to use the pool. Julie spent $35 in August to use
the pool. How many hours did Julie use the pool
in August?
Answers
Answer: 40 hours
Step-by-step explanation:
As stated in the question the total amount spent in the month of august is $35.
First of all you have to subtract 15 out of the entire amount spent so that you can start calculating how many hours did Julie use the pool.
(35-15) = 20 (divide the answer with 0.50)
(20/0.50) = 40 (We have to divide to get the amount of hours she spent in pool)
Shelly ran 20 minutes and burned 130 calories.
Part A: Which equations can be used to find the average number of calories, c, burned per minute?
Answers
Answer: you can divide 130c/20 minutes to find the average per minute
Step-by-step explanation:
A company has a multi-tier investment. They have $40 million in operating expenses each year and a cost of capital of 12%. They can invest $12 million in new technology for their plant. There is a 40% chance that the new equipment reduces expenses by 15%, a 30% chance it reduces expenses by 10%, and a 30% chance it reduces expenses by 5%. Shareholders will view the results after 3 years and vote on continuing or abandoning the project. Abandoning costs the company $5 million. If expenses drop 15%, there is a 95% chance the vote is yes, to continue for another 3 years, If they drop 10%, the vote has a 75% chance to be yes. If expenses only drop 5%, there is a 40% change the shareholders vote to continue the project. Draw out the timeline, decision tree, and calculate the probabilities for all six possible scenarios.
Answers
The probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.
To analyze the given scenario and calculate the probabilities for all six possible scenarios, let's create a decision tree and timeline to visualize the information provided.
Timeline:
Year 1: Initial investment of $12 million in new technology.
Year 2: Results evaluated by shareholders.
Year 3: Final decision made by shareholders.
Decision Tree:
``` ┌─── Continue (95%)
│
15% ─────┼─── Continue (75%)
│
$12 million ─────┼─── Continue (40%)
investment │
│
10% ─────┼─── Abandon ($5 million cost)
│
│
5% ─────┼─── Abandon ($5 million cost)
│
└─── Abandon ($5 million cost)
```
Now, let's calculate the probabilities for each scenario:
1. New equipment reduces expenses by 15% (40% probability):
Probability = 40% * 95% = 0.4 * 0.95 = 0.38 (38%)
Outcome: The shareholders vote to continue for another 3 years.
2. New equipment reduces expenses by 10% (30% probability):
Probability = 30% * 75% = 0.3 * 0.75 = 0.225 (22.5%)
Outcome: The shareholders vote to continue for another 3 years.
3. New equipment reduces expenses by 5% (30% probability):
Probability = 30% * 40% = 0.3 * 0.4 = 0.12 (12%)
Outcome: The shareholders vote to continue for another 3 years.
4. New equipment does not reduce expenses (10% probability):
Probability = 10%
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
5. New equipment reduces expenses by 15%, but shareholders vote to abandon (5% probability):
Probability = 15% * (1 - 95%) = 0.15 * 0.05 = 0.0075 (0.75%)
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
6. New equipment reduces expenses by 10%, but shareholders vote to abandon (5% probability):
Probability = 10% * (1 - 75%) = 0.1 * 0.25 = 0.025 (2.5%)
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
To summarize, we have calculated the probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.
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Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x+2y 16 y=x-4 A (62) B (2,-2) C. (6, -2) D. (2, 2)
Answers
Answer:
A
Step-by-step explanation:
\(2x + y = 16 \\\)
\(y = x - 4\)
as y is given, u just need to substitue y's value into 2x+y=16
then u can solve it
If an automobile travels 42 miles on 3 gallons of gasoline, how far, under the same driving conditions, will the car travel on 4.5 gallons of gasoline?
Answers
Answer:
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Step-by-step explanation:
question on inference method and test statistic - is there evidence that the mean amount of water drank daily by a teenager is more than 1.5 liters? data was collected from a sample of 56 teenagers. the best approach to provide an answer to the question would be:
Answers
The best approach to provide an answer to the question would be: Calculate a confidence interval using t*
When do we calculate a confidence interval using t*?The confidence interval is often used to obtain the true population mean. The question asks us to identify evidence that points to the fact that the mean amount of water drank by each teenager is more than 1.5 liters.
We are here searching for the true population mean. We calculate a confidence interval using t when the population variance is not known as is the case here. So, to solve this question, we would calculatethe confidentce interval using t*.
Learn more about the confidence interval here:
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Find the mean, median, mode, and range of the following list.
35, 16, 28, 4, 62, 15, 48, 22, 16, 28
Mean
Median
Mode
Range
Answers
To find the mean, we add up all the numbers in the list and divide by the total number of numbers:Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10 = 27.4To find the median, we first need to put the numbers in order:4, 15, 16, 16, 22, 28, 28, 35, 48, 62The median is the middle number. In this case, there are 10 numbers, so the middle two are 22 and 28. The median is the average of these two numbers:Median = (22 + 28) / 2 = 25To find the mode, we look for the number that appears most often. In this case, both 16 and 28 appear twice, while all the other numbers appear only once. So the mode is 16 and 28.Mode = 16, 28To find the range, we subtract the smallest number from the largest number:Range = 62 - 4 = 58Therefore, the mean is 27.4, the median is 25, the mode is 16 and 28, and the range is 58.
Answer: the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
Step-by-step explanation:
To find the mean, we add up all the values and divide by the total number of values:
Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10
Mean = 254 / 10
Mean = 25.4
So the mean is 25.4.
To find the median, we need to first put the list in numerical order:
4, 15, 16, 16, 22, 28, 28, 35, 48, 62
The median is the middle number in the list, so in this case it is 25, which is between the 5th and 6th numbers in the list.
So the median is 25.
To find the mode, we need to find the number that appears most frequently in the list. In this case, the numbers 16 and 28 each appear twice, which is more than any other number, so both 16 and 28 are modes of the list.
So the mode is 16 and 28.
To find the range, we subtract the smallest value from the largest value:
Range = 62 - 4
Range = 58
So the range is 58.
Therefore, the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
Does the point (1, 2) satisfy the equation y = x?
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We can obtain: by substituting x = 1 into the equation.
Since y = x y = 1, the equation now reads y = 1. However, we are aware that the point (1, 2) has a y-coordinate of 2, which is not the same as 1. As a result, the equation y = x is not satisfied by the points (1, 2).
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1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
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