Answer:
A)x=13
Step-by-step explanation:-5x+2=67 -5x=65 x=13
Answer:
B: -13
Step-by-step explanation:
67-2=65 ( or 67 + (-2) )
-5x=65
divide
65/(-5)= -13
Solve this inequality. Show all work.
-25(x+5)>100
x<−9
is your answer
x+5<−
25
100
x+5<−4
x<−4−5
x<−9
3. Write the inequality that best represents the relationship shown on this number line:
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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A voter receives a call in which the caller claims to be conducting a national opinion research poll. The voter is asked if his or her opinion about a congressional candidate would change if he or she knew that the candidate once had a car crash while driving under the influence of alcohol. Identify and explain at least one source of bias in the study described. Then suggest how the bias might have been avoided?
a. The data do not seem to support the claims being made by the study. The researcher should consult an expert to make sure that he or she is correctly interpreting the data.
b. The study does not appear to have a well-defined goal. The researcher should determine his or her goal and precisely define the variables of interest.
c. Since the sample is self-selected, there is a definite participation bias in this study. The researcher should randomly select the subjects of the study.
d. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Answer:
The correct answer is D. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Step-by-step explanation:
The phrasing and setup of the poll will produce responses that are biased against the candidate. The setup of the poll should be changed to avoid influencing the opinions of the respondents.
During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. Express the following in ratios:
a. Purchasers to nonpurchasers
b. Nonpurchasers to purchasers
c. Purchasers to total customers
d. Nonpurchasers to total customers
The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in.
(Round to the nearest whole number as needed.)
Bear Lengths
36.0 37.0 39.5 40.0 40.5 43.0 44.0 45.5 45.5 46.5 48.0 48.00 49.0 50.0 51.5 52.5 53.0 53.5 54.0 57.3 57.5 58.0 58.5 59.0 59.5 60.0 61.0 61.0 61.0 61.5 62.0 62.5 63.0 63.0 63.5 64.0 64.0 64.0 64.5 65.0 66.0 67.5 67.5 68.5 70.0 70.5 71.5 72.0 72.5 72.5 72.5 73.5 74.5 77.5
Answer:
52nd percentile
Step-by-step explanation:
The sorted data :
36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5
The total size of the data = 54
The value 61.0 occurs in position ; 27th, 28th and 29th
Taking the position average :
(27+28+29)/3 = 84/3 = 28th position
This means the percentile score of 61 is :
(Position average / total size) * 100%
(28/54) * 100%
0.5185185 * 100%
= 51.85%
This means that 61 inch length falls in the 52nd percentile
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 83
minutes with a mean life of 541
minutes.
If the claim is true, in a sample of 160
batteries, what is the probability that the mean battery life would be greater than 553.9
minutes? Round your answer to four decimal places.
As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
What is probability?Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.
The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.
The standard error of the mean (SE) is calculated as follows:
SE = σ/√n
Where n is the sample size and is the population standard deviation.
SE = 83/√160 = 6.575
Z = (X - μ) / SE
Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.
Z = (553.9 - 541) / 6.575 = 1.94
As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.
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You are given a table showing input and output values for a given function y1=f(x). Using this table, find (if possible) (a) the x-intercept of the graph of y=f(x), (b) the y-intercept of the graph of y=f(x), and, (c) the solution to the equation f(x)=0.
The x-intercept is the point where y=0.
From the given table, notice that the x-value for y1=0 is x=7.
Hence, the x- intercept of f(x) is x=7.
The y-intercept is the point where x=0.
From the table, notice that the y-value for x=0 is y1=-48.
Hence, the y-intercept of f(x) is y=-48.
The solution to the equation f(x)=0 is the x-value for which the function has a value 0, that is when y1=0.
From the table, the x-value is x=7.
Hence, the solution to the equation f(x)=0 is x=7.
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
2) pplllllss hellppp
Answer:
A. -1 and 1/3
Step-by-step explanation:
The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them
Which of the following is an example of an independent variable?
A. graph
B. output
C. input
D. rule
Answer:
C is an independent variable
Step-by-step explanation:
The input is the number you feed into the expression
FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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PLEASE HELP WILL MARK BRAINLIST
A company is designing a new cylindrical water bottle. The volume of the bottle will be 167 cm. The height of the water bottle is 7.1 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
23
Step-by-step explanation: i took it
-2a-6a-9=-9-6a-2a
help please g
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.
Answer:
A. 2Step-by-step explanation:
Degree of freedom is expressed according to the formula as shown;
Degree of freedom = Sample size (Treatments) - number of parameters(Block)
Given
Number of treatments = 5
Number of blocks = 3
Degree of freedom = 5 - 3
Degree of freedom = 2
Hence the error will have 2 degrees of freedom in the randomized block design.
Please i need the answer fast k12
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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help!
Write an equation for the line on the graph below:
Answer:
y = 3
Step-by-step explanation:
If you find the values of all the points of the line, it has y as 3.
Feel free to mark this as brainliest :D
In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?
quick plss
Answer:
The answer is 110
Step-by-step explanation:
If you go on wiki you will find a hold lot,of things you need to know about yearly robberies.And thank your for choosing brainly and having your trust upon other user just like me place what ever answer you want and a brainly user will get back to you in about 10-15 minutes is not your one of luckey ones
Sort the sequences according to whether they are arithmetic, geometric, or neither.
Answer:
arithmeticneithergeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.
The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.
__
98.3, 94.1, ... -- arithmetic (common difference = -4.2)
1, 0, -1, 0, ... -- neither
1.75, 3.5, ... -- geometric (common ratio = 2)
-12, -10.8, ... -- arithmetic (common difference = -1.2)
-1, 1, ... -- geometric (common ratio = -1)
Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...) (-12,-10.8, -9.6,-8.4)
Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)
Neither (1,0,-1,0,...)
Step-by-step explanation:
I guarantee these are correct.
Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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According to the triangle inequity if 20 and 25 are the lengths of two sides of a triangle then an inequality that represents all possible lengths for the third side is_____
A. 0
B. 0
C. 5_
D. 5
Answer and explanation:
The inequality theorem states that the sum of the length of two sides of a triangle is greater than the third side of a triangle.
Also the difference of two sides of a triangle is less than the third side
If we apply this theorem here,
Then we say the third side x<20+25 and x>25-20
Therefore x<45 but >5
5<x<45
Possible sides of x include: 6,7,8,9,10,11,12,13,14,15,16,17,18...not equal to 45 or more than
Use root test to determine the following series is convergent/divergent or inconclusive
By the root test, the series converges. We have
\(\displaystyle\lim_{k\to\infty}\sqrt[k]{\left|(-1)^k\frac{k^3}{3^k}\right|}=\lim_{k\to\infty}\frac{\sqrt[k]{k^3}}3=\frac13\lim_{k\to\infty}k^{\frac3k}=\frac13\)
which is less than 1.
In case it's not clear why \(k^{3/k}\) should converge to 1:
\(\displaystyle\lim_{k\to\infty}k^{\frac3k}=\lim_{k\to\infty}\exp\left(\ln k^{\frac3k}\right)=\exp\left(\lim_{k\to\infty}\frac{3\ln k}k\right)\to e^0=1\)
Nate has 8 x (12 x 34 x 56) jelly beans. Walt has (12 x 34 x 56)
jelly beans. How many times more jelly beans does Nate have
than Walt?
Answer:
Nate has 8 times more jelly beans than Walt.
Step-by-step explanation:
Nate's quantity:
8 x (12 x 34 x 56)
Walt's quantity:
(12 x 34 x 56)
To find the ratio, we can divide Nate's quantity by Walt's quantity:
Ratio = Nate's quantity / Walt's quantity
Ratio = (8 x (12 x 34 x 56)) / (12 x 34 x 56)
Simplifying the expression:
Ratio = 8
Therefore, Nate has 8 times more jelly beans than Walt.
means per 100 or out of 100
Answer:
i think 1
Step-by-step explanation:
plz brainliest I need it
How is 7.54÷4= 1.88
I got 1.88 with the remainder of 2
Answer:
I got 1.885 for the answer.
Maybe they wanted it rounded to just 2 decimal places.
Step-by-step explanation:
Answer:
7 .54/4=1.88
Step-by-step explanation:
In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.
evaluate 3/2 +(-k) +(-2) where = 5/2
Answer:
- 3
Step-by-step explanation:
Step 1:
3/2 + ( - k ) + ( - 2 ) Equation
Step 2:
3/2 + ( - 5/2 ) + ( - 2 ) Substitute k
Step 3:
3/2 - 5/2 - 2 Open Parenthesis
Step 4:
- 1 - 2 Subtract
Answer:
- 3 Subtract
Hope This Helps :)
6.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = –5x + 3; (–6, 3)
A. y = –5x – 27
B. y = 5x – 9
C. y = –5x + 9
D. y = –5x + 27
Answer:
A. y = –5x – 27
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = − 5 x + 3 .
y = − 5 x − 27 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = − 5 x + 3 .
y = 1 /5 x + 21 /5 PERPENDICULAR
Which fractions are equivalent to the value of
2
10
+
20
100
? Drag and drop the fractions into the box.
Lets see
2/10+20/1002/10+2/102+2/104/102/5Answer:
thanks just needed points
Step-by-step explanation:
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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what is the numerical expression of the sum 21+4
Answer:
the answer is 50, numerical just means by way of numbers
Step-by-step explanation:
21 plus 4 is 25, doubled, or x2 equals 50