Answers
Related Questions
What is the value of y at the y-intercept of the equation 10x + 3y=12.
Answers
Answer:
Y = 4 - \(\frac{10x}{3}\)
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The value of y at the y-intercept of the equation 20x + 3y = 12 is 4.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
10x + 3y = 12
We will write the equation in slope-intercept form.
y = mx + c
10x + 3y = 12
3y = 12 - 10x
y = 12/3 - (10/3)x
y = -(10/3)x + 4
4 is the y-intercept.
Thus,
The value of y at the y-intercept of the equation 20x + 3y = 12 is 4.
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20.
What should be added to 2/3+3/5 to get-2/15
Answers
Answer:
no it gate 19/15 or 1 4/15
Step-by-step explanation:
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are randomly selected, find the probability that
a. Exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
Answers
Answer:
a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
Step-by-step explanation:
To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).
62% of owned dogs in the United States are spayed or neutered.
This means that \(p = 0.62\)
48 owned dogs are randomly selected
This means that \(n = 48\)
Mean and standard deviation, for the approximation:
\(\mu = E(x) = np = 48*0.62 = 29.76\)
\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36\)
a. Exactly 30 of them are spayed or neutered.
This is P(X = 30), which is not necessary the use of the approximation.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180\)
0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
Now we use the approximation. This is, using continuity correction, \(P(X \leq 33 + 0.5) = P(X \leq 33.5)\), which is the pvalue of Z when X = 33.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{33.5 - 29.76}{3.36}\)
\(Z = 1.11\)
\(Z = 1.11\) has a pvalue of 0.8665
0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
Using continuity correction, this is \(P(X \geq 31 - 0.5) = P(X \geq 30.5)\), which is 1 subtracted by the pvalue of Z when X = 30.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{30.5 - 29.76}{3.36}\)
\(Z = 0.22\)
\(Z = 0.22\) has a pvalue of 0.5871
1 - 0.5871 = 0.4129
0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
This is, using continuity correction, \(P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)\), which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.
X = 30.5
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{30.5 - 29.76}{3.36}\)
\(Z = 0.22\)
\(Z = 0.22\) has a pvalue of 0.5871
X = 23.5
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{23.5 - 29.76}{3.36}\)
\(Z = -1.86\)
\(Z = -1.86\) has a pvalue of 0.0314
0.5871 - 0.0314 = 0.5557
0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
A portion of a roadmap is shown in the figure. What is the measure of angle p.
Answers
Step-by-step explanation:
Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.
So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.
Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°
Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“b = 2a”
Per conceptual understanding, the sum of all the angles of a triangle is 180.
Hence, a + b + c = 180a + 2a + c = 1803a + c = 180
However, from the above equation, we can get many values of a and c.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“c = 3a”
a + b + c = 180a + b + 3a = 180b + 4a = 180
However, from the above equation, we can get many values of a and b.
Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)
From statement 1:
3a + c = 180
From statement 2:
c = 3a
Combining both the statements:
3a + 3a = 180.
From the above equation, we can find the value of a. Then we can find c.
Since we could find the answer by combining both the statements, option C is the correct answer.
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Tyler Tooling Company uses a job order cost system with overhead applied to products on the basis of machine hours. For the upcoming year, the company estimated its total manufacturing overhead cost at $420,000 and total machine hours at 60,000. During the first month of operations, the company worked on three jobs and recorded the following actual direct materials cost, direct labor cost, and machine hours for each job:
Job 101 Job 102 Job 103 Total
Direct materials used $ 19,200 $ 14,400 $ 9,600 $ 43,200
Direct labor $ 28,800 $ 11,200 $ 9,600 $ 49,600
Machine hours 1,000 4,000 2,000 7,000
Job 101 was completed and sold for $60,000.
Job 102 was completed but not sold.
Job 103 is still in process.
Actual overhead costs recorded during the first month of operations totaled $45,000.
Required:
Prepare a journal entry showing the transfer of Job 102 into Finished Goods Inventory upon its completion.
Prepare the journal entries to recognize the sales revenue and cost of goods sold for Job 101.
Prepare the journal entry to transfer the balance of the Manufacturing Overhead account to Cost of Goods Sold
Answers
1. The journal entry to show the transfer of Job 102 into Finished Goods Inventory after its completion is as follows:
Journal Entry:Debit Finished Goods $53,600
Credit Work in Process: Job 102 $53,600
2. The journal entries to recognize the sales revenue and cost of goods sold for Job 202 are as follows:
Journal Entries:Debit Cash/Accounts Receivable $60,000
Credit Sales Revenue $60,000
Debit Cost of goods sold $55,000
Credit Finished Goods Inventory $55,000
3. The journal entry to transfer the balance of the Manufacturing Overhead account to the Cost of Goods Sold account is as follows:
Journal Entry:Debit Manufacturing Overhead $4,000
Credit Cost of Goods Sold $4,000
Data and Calculations:Estimated total manufacturing overhead = $420,000
Estimated total machine hours = 60,000 hours
Predetermined overhead rate = $7 ($420,000/60,000)
Job 101 Job 102 Job 103 Total
Direct materials used $ 19,200 $ 14,400 $ 9,600 $ 43,200
Direct labor $ 28,800 $ 11,200 $ 9,600 $ 49,600
Applied overhead $7,000 $28,000 $14,000 $49,000
Total costs $55,000 $53,600 $33,200 $141,800
Machine hours 1,000 hours 4,000 hours 2,000 hours 7,000 hrs
Status of Jobs Sold Finished WIP
Sales revenue (Job 101) = $60,000
Manufacturing Overhead Account:Actual overhead costs for the first month = $45,000
Applied overhead for the first month = $49,000 ($7 x 7,000)
Overapplied overhead = $4,000 ($49,000 - $45,000)
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Clayton has already prepared 16 kilograms of dough and will continue preparing 1 kilogram of dough every hour how many hours did clayton work if he prepared 20 kilograms of dough
Answers
Answer:
He worked 4 hours
Step-by-step explanation:
Clayton has already prepared 16 kilograms of dough and will continue preparing 1 kilogram of dough every hour
So, after n hours, the amount of dough he will have is:
A(n) = 16 + n
How many hours did clayton work if he prepared 20 kilograms of dough?
This is A(n) for which A(n) = 20. So
A(n) = 16 + n
16 + n = 20
n = 20 - 16
n = 4
He worked 4 hours
what is 2/6 plus 3/12
Answers
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
Answers
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Please help........ i need help
Answers
Answer:
x = 30
Step-by-step explanation:
x/2 = 12 + 3
x = 2(12+3)
x = 30
\(\frac{1}{\sqrt{x} 5}\)
Answers
Answer:
\( \frac{ \sqrt{5x} }{5x} \)
Step-by-step explanation:
\( \frac{1}{ \sqrt{x5} } \)
\( = \frac{1}{ \sqrt{5x} } \)
\( = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } \)
\( = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)
\( = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)
\( = \frac{ \sqrt{5x} }{5x} \)
Help me plzzzzz now!!!!
Answers
Answer:
Step-by-step explanation:
Any time you multiply an even number of negatives together you will get a positive number. The only choice that has an even number of negatives is the last choice with 2 negatives.
Question 13 of 25
True or false? The graph represents a function
Answers
Answer:
B. False
Step-by-step explanation:
This graph is not a function. The graph fails the Vertical Line Test.
HELP ME raaaaaaaa NOWWWWWWWWWW
Answers
Answer:
C: EAF Is the correct answer
For the set C= {6,8}, determine n(C).
Answers
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
Hope it helps...
An item on sale costs 40% of the original price if the original price was $25 what is the sale price
Answers
Answer: $10
Step-by-step explanation:
original price = 25
40% = 0.4
25 * 0.4= 10
Can you pls help me with this question thank you
Answers
"A number h divided by 18" is the same as:
h divided by 18.
Since the division symbol is ÷.
Then, h ÷ 18.
Answer: d. h ÷ 18.
(q14) Ron is studying the income of people in a particular state. He finds out that the Lorenz curve for that state can be given as L(p)=p^4/3. Find the gini coefficient.
Answers
The Gini coefficient is 2(−13/30) = -13/15.
The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).
In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.
The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.
The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.
The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=
∫[0,1](p^4/3−p)dp
=(1/15)−(1/2)
= -13/30
The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.
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According to the graph:Part A: Which activity burns more calories per minute-kayaking or hiking.?Part B: How many total calories do you burn?
Answers
We are given that the number of calories
"y" burned after "x" minutes of kayaking are given by:
\(y=4.5x\)This is an equation of the form:
\(y=mx\)Where "m" is the slope. In this case, the slope represents the number of calories per minute that are burned by the activity, therefore, the number of calories per minute is:
\(m_k=4.5\frac{cal}{\min }\)Now, to determine the number of calories per minute by Hiking we need to determine the slope of the given graph. To do that we will use the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where:
\((x_1,y_1),(x_2,y_2)\)Are points on the graph. Therefore, we need to choose two points from the graph. we will use:
\(\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(5,30) \end{gathered}\)Substituting the points in the formula for the slope we get:
\(m=\frac{30-0}{5-0}=6\)Therefore, by Hiking we have:
\(m_H=6\frac{cal}{\min }\)Therefore, more calories per minute are burned by Hiking.
Part B. Now we are given that each activity is performed for 45 minutes. For the number of calories burned by hiking we have the following equation:
\(y=4.5x\)Now we substitute the value of "x = 45 min":
\(\begin{gathered} y=4.5(45) \\ y=202.5 \end{gathered}\)Therefore, by Kayaking the number of calories burned is 202.5 cal.
Now, in the case of Hiking we already determined the slope to be 6. Since the graph show that the line passes through the origin, this means that the equation of the line is of the form:
\(y=mx\)Substituting the value of the slope we get:
\(y=6x\)Now we substitute the 45 min:
\(\begin{gathered} y=6(45) \\ y=270 \end{gathered}\)Therefore, 270 cal are burned by Hiking. The total number of calories is then the sum of the calories burned by each activity:
\(\text{Tcal}=202.5cal+270\text{cal}=472.5cal\)Therefore, the total number of calories burned is 472.5 calories.
PLEASE HELP! WILL GIVE BRAINLIEST
Answers
Answer:
Find the exact value using trigonometric identities.
( 60 , 280 ) , 5 , 8534.4 , ( 5 , 8534.4 ) , 5 , 294.54 , 5 , 3360 , 2.54
Step-by-step explanation:
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Answers
Which of the following MUST be true for two negative number?
Answers
Based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number.
PLEASE ANSWER!!!
Answers
The number of students that bike to school is 18
How to determine the valueThe median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.
We should also know that the median is one of the measures of central tendency.
From the information given, we have that the data set representing the number of students is;
10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Then, we have that the median number is;
Median = 17 + 18/2
add the values
Median = 35/2
Divide the values
Median = 18 students
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Draw and label. Two points, J and K.
Answers
Answer:
see attached
Step-by-step explanation:
It usually works to follow instructions. Here are your two points.
Teacher says this equation isn't even, but I don't understand why not, could someone please explain?
f(x)= x^5-x/x^3
Answers
Answer:
discuss this with your teacher to find their reasoning
f(x) is an even function
Step-by-step explanation:
You want to know if f(x) = (x⁵ -x)/x³ is even or odd.
Even functionA function is even if ...
f(-x) = f(x)
Here, we have ...
f(x) = (x⁵ -x)/x³
f(-x) = ((-x)⁵ -(-x))/(-x)³ = (-x⁵ +x)/-x³ = (x⁵ -x)/x³
This is identical to f(x), so we can conclude this function is even. The graph of an even function is symmetrical about the y-axis, as is the graph in the attachment.
Odd functionA function is odd if ...
f(-x) = -f(x)
As we saw above, f(-x) = (x⁵ -x)/x³, which is not -f(x). This function is not odd.
The graph of an odd function is symmetrical about the origin.
__
Additional comment
Your teacher may be reacting to the fact that all of the exponents are odd numbers (1, 3, 5). If this were a polynomial, not a rational function, the odd exponents would signify it is an odd function.
Because it is the ratio of odd functions. the oddness of the numerator is cancelled by the oddness of the denominator, leaving an even function. It is not so different from the product f(x) = (x^-3)(x^5 -x). This, as does the original form of f(x), reduces to x^2 -x^-2, the sum of even functions of x.
Find three consecutive odd integers such that the sum of the least integer and the middle integer is 41 more than the greatest integer.
Answers
Answer:
42,43,44
Step-by-step explanation:
The first integer is x, the second consecutive integer is x+1, the third is x+2
x+x+1=x+2+41
2x+1=x+43
x=42
x+1=43
x+2=44
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answers
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
I need help with this
Answers
Answer:
p = 0.11 (rounded to 2 DP)
p = 0.111 (rounded to 3DP)
Step-by-step explanation:
p = 0.48³
p = 0.110592
Rounded to 2 DP
p = 0.11
Rounded to 3DP
p = 0.111
HELP QUICKLY!!!
A net of a rectangular prism is shown. A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters. What is the surface area of the prism? five hundred fifty and one-fourth cm2 four hundred twelve and three-fourths cm2 two hundred seventy-five and one-eighth cm2 one hundred thirty-seven and nine-sixteenths cm2
PLEASE show a explanation
Answers
The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]
Surface area of rectangular prism = 2[23 + 1081/16 + 47]
Surface area of rectangular prism = 275 1/8 cm².
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What angle is this?
Answers
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
Answers
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?