Answer:
1/48
Step-by-step explanation:
This is a case of joint probability, and the desired result is the product of P(spins a 5) and P(rolls a 6): (1/8)(1/6) = 1/48.
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm
Answer:
Answer = 39.25 or 39 if rounded to the nearest whole number
Step-by-step explanation:
The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25
Hope that helps! :)
An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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PLS HELP ASAP 50 POINTS AND BRAINLEIST!!
Identify the similarities and differences between a square and a rhombus.
Both a rhombus and a square are parallelograms and quadrilaterals (which means they have four sides with parallel opposite sides). The main difference between the two is that, while a rhombus has two opposite internal angles of equal measure, a square has four right angles with equal measure. A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
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what is the answer to this algebraic expression 9x-6(x+4) ?
The solution to the given expression would be 3x - 24 I believe.
Hope this helps!
Hey guys, i need your help!
a carnival game features a flip of a special coin and a roll of a number cube. the coin has a 3 on one side and a 7 on the other. the number cube contains the numbers 1-6. a player flips the coin then roll the number cube. determine each probability: (as a whole %)
please provide instructions; i am so lost, haha.
In this carnival game, a player flips a coin that has a 3 on one side and a 7 on the other, and then rolls a number cube that has numbers 1-6.
To determine the probabilities, we need to analyze each event separately and then use the multiplication rule of probability to find the probability of both events happening together.
The probability of getting a 3 on the coin is 50%, since there are only two possible outcomes. The probability of rolling each number on the cube is 16.67%, since the cube has six sides.
The probability of both events happening together depends on the individual probabilities and is found by multiplying them. Finally, we can use the addition rule of probability to find the probability of either event happening.
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Consider the following T bills:
Maturity Bid Ask
8-2 6.36 6.20
8-16 6.42 6.26
The T bills maturing August 2nd (8-2) are being offered at par
a. less a discount to yield 6.20%
b. plus a premium to yield 6.20%
c. less a discount to yield 6.36%
d. plus a premium to yield 6.36%
The correct answers are:
a. less a discount to yield 6.20%
d. plus a premium to yield 6.36%
Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.
To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.
a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.
b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.
c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.
d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.
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I need help on this question.
Answer:
JK = 30 .
Step-by-step explanation:
As JMLK is a kite the diagonals bisect each other at right angles so triangle JNK is a right triangle.
JK^2 = 18^2 + 24^2 = 900
JK = 30.
differentiate. f(y) = 1 y2 − 9 y4 (y + 3y3)
The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.
To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:
f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)
Using the product rule, we can differentiate each part separately:
f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'
The derivative of the first part is:
(1 y^2 - 9 y^4)' = 2y - 36y^3
Now we need to differentiate the second part using the chain rule. Let's call the inner function u:
u = y + 3y^3
Using the power rule, the derivative of u with respect to y is:
u' = 1 + 9y^2
Now we can substitute these values back into our original equation:
f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)
Simplifying further:
f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2
Combining like terms:
f'(y) = -9y^6 - 33y^4 + 84y^2
Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.
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Help pleSeeeeeeeeeee
Stacy milk to make pancake batter. The recipe calls for 3/4 of jug of She 1/4 a jug How much more milk does she need?
Answer:
More milk does she need = 1 / 2 jug
Step-by-step explanation:
Given:
Recipe call milk = 3/4 jug
Stacy had = 1/4 jug
Find:
More milk does she need
Computation:
More milk does she need = 3/4 - 1/4
More milk does she need = (3 - 1) / 4
More milk does she need = 2 / 4
More milk does she need = 1 / 2 jug
Which criteria can be used to prove triangles are congruent select all that apply?
The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.
The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.
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Find all missing angles
Answer: 1=95 2=85 3=95 4=85 5=36 6=49
Step-by-step explanation:
What’s the answer to x + 1/2=x-1/2
Answer:
Hi there
Your answer is
No solution
Step-by-step explanation:
x+1/2 = x-1/2
-x
1/2 = -1/2
this is NO SOLUTION
Which on is the correct answer
Answer:
y=-x-5
Step-by-step explanation:
Slope is the x, since slope is equal to -1, x=-1. For the y intercept you simply add or subtract the number given to you, since it is -5 you would add a -5 to the end of the equation
question is linked below please helpp
Answer:
Step-by-step explanation:
(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>
a = 60
b = 11
c = -74
d = 24
A closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False
Answer:false
Step-by-step explanation:
plans to build an extension to Meiling's rectangular
deck. Let x represent the increase, in meters, of her deck's length.
the width, in meters, and (x + 8) represents the extended length,
The expression 5(x + 8) represents the area of the deck, where 5 is
in meters. Use the Distributive Property to write an expression that
represents the total area of Meiling's new deck.
5 m
8 m
The total area of Meiling's new deck is 4x + 32
What do you mean by distributive property?
The distribution properties tell us how to solve expressions of the form a(b + c). The distributive law is sometimes called the distributive law of multiplication and division.
The distribution property describes that the operation is performed on the numbers inside the brackets and can be distributed to any number outside the brackets.
We are told that the expression 5(x+8) represents the area of the deck.
Also, that 5 is the width, in meters, and (x+8) represents the extended length, in meters.
Thus, area is;
A = 4(x+8)
Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.
Thus;
A = (4 * x) + (4 × 8)
A = 4x + 32
Therefore, the total area of Meiling's new deck is 4x + 32
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For each function, find f(1), f(2), f(3) , and f(4) .
f(x)=5 x-4
According to the given statement f(1) = 1, f(2) = 6, f(3) = 11, and f(4) = 16.
To find the values of f(1), f(2), f(3), and f(4) for the function f(x) = 5x - 4, we substitute the given values of x into the function and simplify the expression.
1. f(1):
Substitute x = 1 into the function:
f(1) = 5(1) - 4
f(1) = 5 - 4
f(1) = 1
2. f(2):
Substitute x = 2 into the function:
f(2) = 5(2) - 4
f(2) = 10 - 4
f(2) = 6
3. f(3):
Substitute x = 3 into the function:
f(3) = 5(3) - 4
f(3) = 15 - 4
f(3) = 11
4. f(4):
Substitute x = 4 into the function:
f(4) = 5(4) - 4
f(4) = 20 - 4
f(4) = 16
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The values of f(1), f(2), f(3), and f(4) are 1, 6, 11, and 16 respectively.
To find the values of f(1), f(2), f(3), and f(4) for the function f(x) = 5x - 4, we substitute the given values of x into the function and simplify the expressions.
1. For f(1):
Substitute x = 1 into the function:
f(1) = 5(1) - 4
= 5 - 4
= 1
2. For f(2):
Substitute x = 2 into the function:
f(2) = 5(2) - 4
= 10 - 4
= 6
3. For f(3):
Substitute x = 3 into the function:
f(3) = 5(3) - 4
= 15 - 4
= 11
4. For f(4):
Substitute x = 4 into the function:
f(4) = 5(4) - 4
= 20 - 4
= 16
This means that when we plug in the values 1, 2, 3, and 4 into the function f(x) = 5x - 4, we get the corresponding values of 1, 6, 11, and 16. This shows how the function behaves for these particular inputs.
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Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
Helppp!!! Binary operations number 9 only!!!
The operation * in the expression a*b = ab/4 + a + b is associative.
What is associative property?Under a specific operation, a set has the associative property if the result of the operation is the same regardless of how we group any sets of three or more elements joined by the operation.The associative property is a mathematical rule that states that the order of factors in a multiplication problem has no effect on the product.The associative property of addition asserts that the addends can be grouped in various ways without changing the outcome. The commutative property of addition states that the addends can be reordered without changing the outcome.∗ is association if (a∗b)∗c = a∗(b∗c)
(a∗b)*c = (ab/4*c)/4 = abc /16
a∗(b*c) = (a x (bc/4))/4 = abc /16
Since (a∗b)∗c=a∗(b∗c)∀a,b,cϵQ
∗ is an associative binary operation.
Since addition is also associative.
So here a*b = ab/4 + a + b is also associative.
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2) The representative agent lives for infinite periods (0,1,2,…) and receives exogenous incomes of y0,y1,y2,…, respectively. The lifetime present discounted value of utility is given by: ∑t=0[infinity]βtln(ct) with β(<1) being the discount factor and ct is consumption at time t. The agent is allowed to save or borrow at the real interest rate r, but she cannot die with debt or wealth. Assume also that the initial wealth is zero. a. Solve the optimization problem of the agent using the period-by-period budget constraints. In particular, show the Euler equation. b. Using the given functional form, write the Euler equation between time 1 and time 3 . In other words, show how c1 and c3 are related. c. Write the present discounted value of optimal lifetime consumption as a function of c0 (and, potentially, other parameters or exogenous variables). d. Write the present discounted value of optimal lifetime utility as a function of c0 (and, potentially, other parameters or exogenous variables). e. Find the present discounted value of lifetime income as a function of y0 (and, potentially, other parameters or exogenous variables) when income is growing each period at the rate of γ, where 0<γ0 ? Explain!
a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. U0 = ∑t=0[infinity](β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.
a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:
At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.
b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.
Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin
d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.
c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity](β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.
d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity](β(1 + r))^tln(ct).
This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.
e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.
This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.
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Question found in screenshot, it's only one question however, NOT 3.
Step 1
Given the function f defined in the question
Required: To find a relationship between a and b so that f is continuous at x=2
Step 2
\(\lim _{x\rightarrow2^-}f(x)\text{ = }a(2)^2+b(2)\)\(\lim _{x\rightarrow2^-}f(x)=4a+2b\)\(\lim _{x\rightarrow2^{+^{}}}f(x)=5(2)-10=0\)Step 3
For f to be continuous
\(\lim _{x\rightarrow2^-}f(x)=\lim _{x\rightarrow2^+}f(x)_{}\)Hence,
\(\begin{gathered} 4a+2b=0 \\ \text{Subtract 2b from both sides} \\ 4a+2b-2b=0-2b \\ \text{simplify} \\ 4a=-2b \\ or \\ -2b=4a \end{gathered}\)\(\begin{gathered} \text{Divide through by -2} \\ \frac{-2b}{-2}=\frac{4a}{-2} \\ b=-2a \end{gathered}\)Hence, the relationship between a and b so that f(x) is continuous at x= 2 is seen below as;
b=-2a
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP!!!!
I NEED TO GIVE THIS IN TODAY!!!!!
I KNOW THIS ISN'T MATHS BUT THERE ARE NO ANSWERS ON THE PHYSICS:(
Answer:
Give tjbears branliest
Step-by-step explanation:
Forrest Lumber purchased a table saw for $810. After 4 years the saw had a depreciated value of $450. What is the amount of yearly depreciation?
The amount of the annual depreciation has been $90.
The statement provides us with the following data:
The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.
Yearly depreciation = (Original cost - Depreciated value) / Number of years
Yearly depreciation = ($810 - $450) / 4
Yearly depreciation = $360 / 4
Yearly depreciation = $90
Therefore, the amount of yearly depreciation for the table saw is $90.
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A
5
B
3
4
С
Find tan(B) in the triangle.
Answer:
Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .
Given two sides
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
it’s 3/4
Step-by-step explanation:
it’s right for khan (trigonometric ratios in right triangles)
Given the following probability distribution, what is the expected value? Outcome P(Outcome) 17 0.16 18 0.05 3 0.14 13 0.07 12 0.58 Round to 3 decimal places as needed.
The expected value of given Probability Distribution is 11.910.
The expected value is a concept in probability theory that helps us determine the average value or the long-term average outcome of a random variable. It provides a way to summarize the distribution by taking into account both the values of the outcomes and their corresponding probabilities. In this case, we will calculate the expected value based on the given probability distribution.
To calculate the expected value, we multiply each outcome by its corresponding probability and sum up the results. Let's denote the outcomes as X and their probabilities as P(X). In this case, we have the following outcomes and their respective probabilities:
Outcome: 17 18 3 13 12
P(Outcome): 0.16 0.05 0.14 0.07 0.58
To find the expected value, we perform the following calculation:
Expected Value
= (17 * 0.16) + (18 * 0.05) + (3 * 0.14) + (13 * 0.07) + (12 * 0.58)
= 2.72 + 0.9 + 0.42 + 0.91 + 6.96
= 11.91
Therefore, the expected value is 11.910.
In mathematical terms, we can represent the calculation of the expected value as:
E(X) = Σ(X * P(X))
Where E(X) denotes the expected value of X, X represents the outcome, and P(X) is the probability of that outcome. The summation symbol Σ indicates that we sum up each term for all possible outcomes.
In this case, we multiply each outcome by its corresponding probability and sum up the results to find the expected value.
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Complete Question
Given the following probability distribution, what is the expected value?
Outcome 17 18 3 13 12
P(Outcome) 0.16 0.05 0.14 0.07 0.58
Tina and Annette are planning to go to New York for four days. The travel options are shown below. Which travel option has the best rate?
Option A: $200 per night, $250 flight
B: $300 per night, $200 flight
C: $150 per night, $500 flight
Answer:
option A
Step-by-step explanation:
Option A is 1,050 in total
option B is 1,400 in total
option C is 1,100 in total
that's my go at it
A living room is 8 feet long and 16 feet wide. If the ceiling is 10 feet high, what is the total surface area of the four walls?
The living room is similarly shape to a rectangular prism. However, we will only solve for the four walls of the room.
\(\begin{gathered} \text{The surface area is now calculated as} \\ SA=2(10\text{ ft}\cdot16\text{ ft})+2(10\text{ ft}\cdot8\text{ ft}) \\ \text{Note: The top and bottom surface area are not counted.} \end{gathered}\)\(\begin{gathered} SA=2(10\text{ ft}\cdot16\text{ ft})+2(10\text{ ft}\cdot8\text{ ft}) \\ SA=2(160\text{ ft}^2)+2(80\text{ ft}^2) \\ SA=320\text{ ft}^2+160\text{ ft}^2 \\ SA=480\text{ ft}^2 \end{gathered}\)Therefore, the total surface area of the four walls is 480 square feet.
Someone please answer its due by midnight
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2\(x^{3}\) - 7\(x^{2}\) + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4\(x^{3} y\) + 2xy + 5x + 7.
I hope this helps :)