The depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.
The depreciation expense for the year can be calculated by multiplying the depreciation per unit by the number of units produced. In this case, the depreciation per unit is given as $1.30, and the number of units produced is 200,000.
To find the depreciation expense, we can use the following formula:
Depreciation expense = Depreciation per unit × Number of units produced
Plugging in the values, we have:
Depreciation expense = $1.30 × 200,000
Multiplying, we get:
Depreciation expense = $260,000.
Therefore, the depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.
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d divided by 5.20 = 2.40
Answer:
Below
Step-by-step explanation:
D / 5.2 = 2.4 multiply both sides of the equation by 5.2 to get
D = 12.48
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
Answer:
B
Step-by-step explanation:
Integers are like whole numbers, but they can also be negative.
Some examples of integers are -1, 2, 5 etc.
DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability
1. Provide an example of when probability is used in the media
2. Give a personal example of when probability informed your decision making
3. Provide an example of probability being used to influence a decision
4. Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answer:
Here is ur answer :
1. Probability of composing music for a movie is 1
2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .
3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .
4. Sorry i don't know
Hope the others will help you !!
NO EXPLANATION JUST ANSWER!
Answer: 1456 square yds
Step-by-step explanation: Please mark brainliest and give thanks!
Answer:728
Step-by-step explanation:
V=abc=19*14*c=266c=3724
c=14
S=(19c+14c+14*19)=33c+266=33*14+266=728
which statement must be true about <1 and <2 for lines m and n to be parallel?
Answer:
the answer is C
Step-by-step explanation:
Miss P started a bakery. She likes to make cake balls and cupcakes. In order to make the baked goods she needs to stock up on flour and sugar. So far she has 480 cups of sugar and 270 cups of flour. She has to use at least 200 cups of pre-made icing that day, but can easily make more if she needs to. The cake ball recipe calls for 6 cups of flour and 16 cups of sugar. The cupcake recipe calls for 9 cups of flour and 12 cups of sugar. Each batch of cake balls uses 5 cups of icing and each batch of cupcakes requires 10 cups of icing. Mrs. Fletcher has already ordered 3 full batches of cake balls for her colleagues in the math department, but other departments may order more.
Answer:
She does not need to keep safety stock of flour and sugar as she has already sufficient flour and sugar to meet the demand.
Step-by-step explanation:
The cup cakes require 9 cup of flour and 12 cups of sugar. She has completed 3 batches which means she has already used 27 cups of flour and 36 cups of sugar. If she has more orders in a day she will have to use flour and sugar from the stock she has kept in the bakery. She can still process approximately 37 more batches of cup cakes from the current inventory.
Find the distance between the two points in simplest radical form.
(6, 7) and (8,2)
Answer:
+sqrt(29)
Step-by-step explanation:
Note that the change in x (horizontal leg) is 8 - 6, or 2, and that the change in y (vertical leg) is |2 - 7|, or 5. According to the Pythagorean Theorem, the length of the hypotenuse of the right triangle created here is:
distance = +sqrt(2^2 + 5^2), or +sqrt(29)
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
\(\mathbf{n = 10}\) --- total number of students
\(\mathbf{Boys = 4}\) --- total number of boys
\(\mathbf{Girls = 6}\) ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
\(\mathbf{P = P(Girl) \times P(Girl)}\)
The selection is without replacement.
So, we have:
\(\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}\)
Substitute known values
\(\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}\)
\(\mathbf{P = \frac{6}{10} \times \frac{5}{9}}\)
Simplify
\(\mathbf{P = \frac{1}{3}}\)
Hence, the probability is 1/3
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P(x) has factors (x-2), (x+1), and (x-3). Decide if there is only one polynomial that has these factors. Justify your answer.
Answer:
See explanation
Step-by-step explanation:
if multiply the 3 factors together you get
(x² - x - 2)(x - 3) - trinomial x binomial
x³ - 3x²- x² + 3x - 2x + 6 - polynomial
x³ - 4x² + x + 6, this is the polynomial with those factors.
Poly means many so it could be a bigger polynomial with more factors but if it is limited to only these factors than there is just the one polynomial.
The polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3)
What is polynomial?A polynomial is the defined as mathematical expression that have a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that ,
P(x) has three factors (x-2), (x+1), and (x-3).
Multiplying the 3 factors together, we get
⇒ (x-2)(x+1)(x-3)
⇒ [x(x-3) - 2(x+1)](x-3)
⇒ (x² - x - 2)(x - 3)
⇒ x³ - 3x²- x² + 3x - 2x + 6
Rearrange the terms likewise and apply arithmetic operations
⇒ x³ - 4x² + x + 6
Hence, the polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3).
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could anyone help me with these 2 probloms
Answer:
for the first question is -4
the second question is -11
Answer: 1. -4
2. -11
hope this helps :)
what happens to fst when two finite populations are connected by migration (say 2% chance of migration per organism per generation, and no selection)? group of answer choices fst increases to 1 fst decreases to 0 fst stays moderate, near 0.5 fst wanders around randomly between 0 and 1 forever
When two finite populations are connected by migration , then (b) Fst decreases to 0 .
The Fixation Index denoted as Fst , is a measure of population differentiation, which is used to quantify the level of genetic differentiation between two populations.
The Fst ranges from 0 to 1, where 0 indicates complete gene flow between two populations and 1 indicates complete genetic isolation.
If the migration rate is 2% per organism per generation, over time this will lead to a reduction in genetic differentiation between the populations, and the Fst value will decrease towards 0.
This is because the exchange of genetic material will reduce the amount of variation that is unique to each population, which leads to an increase in the genetic similarities between the populations.
The given question is incomplete , the complete question is
What happens to Fst when two finite populations are connected by migration (say 2% chance of migration per organism per generation, and no selection) ?
(a) Fst increases to 1
(b) Fst decreases to 0
(c) Fst stays moderate, near 0.5
(d) Fst wanders around randomly between 0 and 1 forever .
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So,i have the answer to this question,but i have no clue how to work it out,ik im not that smart but anyways i need helppo
Answer:
\(1290 = \frac{h}{10} + \frac{h}{5} \\ 12900 = h + 2h \\ 3h = 12900 \\ h = 4300\)
The waiting time for a customer to talk to a customer service representative is exponentially distributed with an average wait time of 18 minutes. What is the probability that the wait time is less than 24 minutes?
There is a 73.64% probability that a customer will wait less than 24 minutes to talk to a customer service representative.
To find the probability that the wait time is less than 24 minutes, we can use the exponential distribution formula.
The exponential distribution is often defined in terms of the parameter λ (lambda), which is the rate parameter representing the average number of events per unit time.
In this case, the average wait time is given as 18 minutes, so we can calculate the rate parameter λ as 1 divided by the average wait time:
λ = 1 / 18
Now, we can use the cumulative distribution function (CDF) of the exponential distribution to find the probability.
The CDF of the exponential distribution is given by:
CDF(x) = 1 - e^(-λx)
Where x is the value for which we want to find the probability.
In this case, we want to find the probability that the wait time is less than 24 minutes, so we substitute x = 24 into the CDF formula:
CDF(24) = 1 - e^(-λ * 24)
Substituting the value of λ, we have:
CDF(24) = 1 - e^(-24/18)
CDF(24) = 1 - e^(-4/3)
Using a calculator or software, we find that e^(-4/3) is approximately 0.2636. Therefore:
CDF(24) ≈ 1 - 0.2636
CDF(24) ≈ 0.7364
So, the probability that the wait time is less than 24 minutes is approximately 0.7364 or 73.64%.
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Slion 1
Find the slope from the 2 points. (-2,6) (1, 4)
tific
-3/2
O-2
tion
O-2/3
0-1/2
Answer:
Option 3: \( - \frac{2}{3} \)
Step-by-step explanation:
\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Using the formula above,
slope
\( = \frac{6 - 4}{ - 2 - 1} \)
\( = - \frac{2}{3} \)
Answer:
C. -2/3
Step-by-step explanation:
The slope formula is (y2-y1)/(x2-x1)
That is (4-6)/(1--2)
So -2/3
Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
4 yz and 2y^2
Find the gcf of each group of monomials
Answer:
2y
Step-by-step explanation:
To find the GCF ( Greatest Common factor), for an algebraic expression like the one given, all you have to do if look over the expression and circle all the terms they both share, in this case, both 4yz and 2y^2 had 2y in them, except in different forms.
If you find it difficult to recognize the similarities, divide the expressions as much as you can.
Hope this helps
There are 78 square meters
And 13 meters I need to find the width
Answer:
Width = 6
Step-by-step explanation:
A = lw
78 = 13w
6 = w
Find the slope of a line that passes through the points (7, 3) and (5, 1)
Answer:
slope = 1
Step-by-step explanation:
Use the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\) to find the slope. Substitute the x and y values of (7,3) and (5,1) into the formula and solve like so:
\(m = \frac{(1)-(3)}{(5)-(7)} \\m = \frac{1-3}{5-7} \\m = \frac{-2}{-2} \\m = 1\)
So, the slope of the line is 1.
Triangle abc is equilateral which means all three lengths and three angles are equal.
which equation could be used to find the measure of b?
Answer:
The answer is
\(3 x = 180\)
Answer:
OTHER DUDE IS RIGHT.
Step-by-step explanation:
BE SAFE, HAVE AN AMAZING DAY :)
Sydney spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.3°F. Between 9am and noon, the temperature rose 12°F. Between noon and 3pm, the temperature went up 11.5°F. Between 3pm and 6pm, the temperature dropped 16.3°F. What was the temperature at 6pm?
The temperature at 6pm was of -5.1ºF.
This problem can be solved by using system of equations.
A system of equations means when there are two or more variables that are related, and equations are made to find the values of each variable of the problem.
It is given that at 9 am, the temperature was -12.3°F. Between 9am and the noon, the temperature rose 12°F. So, the temperature at noon was of -12.3 + 12 = -0.3ºF.
Also, between the noon and 3pm, the temperature went up 11.5°F. So, at 3 pm, the temperature was of -0.3 + 11.5 = 11.2 ºF.
Further, between 3pm and 6pm, the temperature dropped 16.3°F.So, the temperature at 6 pm was of 11.2 - 16.3 = -5.1 ºF.
Hence, the temperature at 6pm was -5.1°F
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The lengths of two sides of a triangle are shown.
Side 1: 8x2 − 5x − 2
Side 2: 7x − x2 + 3
The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Answer:
To find the total length of the two sides, we simply add them together:
Total length = Side 1 + Side 2
Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)
Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3
Total length = 7x^2 + 2x + 1
Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.
Step-by-step explanation:
To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:
Perimeter = Side 1 + Side 2 + Side 3
We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:
4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3
Simplifying the right-hand side:
4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3
Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1
Simplifying further:
Side 3 = 4x^3 - 7x^2 - x - 7
Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.
Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.
Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.
Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.
Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.
The position function of a stone thrown from a bridge is given by s(t) = 10t 16t² feet (below the bridge) after t seconds. (a) What is the average velocity of the stone between t₁ = 1 and t₂ = 5 seconds? (b) What is the instantaneous velocity of the stone at t = 1 second. (Note that speed= [Velocity]).
The instantaneous velocity of the stone at t = 1 second is -22 feet per second.
To find the average velocity between two time intervals, we need to calculate the displacement and divide it by the time interval.
(a) Average velocity between t₁ = 1 and t₂ = 5 seconds:
The displacement is the difference in the position at the ending time and the starting time. Therefore, we need to find s(5) and s(1):
s(5) = 10(5) - 16(5)² = 50 - 16(25) = 50 - 400 = -350 feet
s(1) = 10(1) - 16(1)² = 10 - 16(1) = 10 - 16 = -6 feet
The average velocity is the displacement divided by the time interval:
Average velocity = (s(5) - s(1)) / (t₂ - t₁) = (-350 - (-6)) / (5 - 1) = (-350 + 6) / 4 = -344 / 4 = -86 feet per second
Therefore, the average velocity of the stone between t₁ = 1 and t₂ = 5 seconds is -86 feet per second.
(b) To find the instantaneous velocity at t = 1 second, we need to find the derivative of the position function with respect to time.
s(t) = 10t - 16t²
Taking the derivative:
s'(t) = 10 - 32t
To find the instantaneous velocity at t = 1 second, substitute t = 1 into s'(t):
s'(1) = 10 - 32(1) = 10 - 32 = -22 feet per second
Therefore, the instantaneous velocity of the stone at t = 1 second is -22 feet per second.
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All the houses in Stanton County have a mean size of 1,650 square feet with a standard deviation of 320. Assume the distribution of their size follows a normal distribution. If you inspected the houses in Stanton County, about what percentage would be between 1,330 and 1,970 square feet?
57.54% of the houses in Stanton County would be between 1,330 and 1,970 square feet.
The z-score represents the number of standard deviations an observation is from the mean.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
For 1,330 square feet:
z₁ = (1,330 - 1,650) / 320 = -1 / 1.6 = -0.625
For 1,970 square feet:
z₂ = (1,970 - 1,650) / 320 = 320 / 320 = 1
The standard normal distribution table provides the area under the curve to the left of a given z-score.
To find the percentage between two values, we need to find the area to the left of the upper z-score and subtract the area to the left of the lower z-score.
Using the standard normal distribution table or a calculator, we can find the corresponding areas:
Area to the left of z₁ = 0.2659
Area to the left of z₂ = 0.8413
Percentage between 1,330 and 1,970 square feet = (Area to the left of z₂) - (Area to the left of z₁)
= 0.8413 - 0.2659
= 0.5754
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Find the slope and this line.
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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Jamie has -$48 in her bank account. She saves $9.60 per week from her allowance. How many weeks
will pass before Jamie has at least $144 in her bank account?
Answer:
20
Step-by-step explanation:
9.60 × 15= 144 9.60×5=48 15+5=20
Enter an inequality that represents the graph in the box.
Answer:
stop cheating
Step-by-step explanation:
get smart
need help with algebra
what is 32+(-12 7/8) equal to
Answer:
153/8
Step-by-step explanation:
The value of my coins if I have p pennies, n nickels and twice as many quarters as pennies HELPPPPPPPPPP ASAPPWILL AWARD BRAINLIES~T