The correct answer is: $20
Explanation:
As we are interested in finding the cost for a barrel of gasoline, we need to read the percentage of gasoline from the pie-chart first—which is 34%.
Now number of barrels containing gasoline = 34% of 60 million barrels = [tex] \frac{34}{100} * 60 = 20.4 [/tex] million barrels
For all the barrels, the total income is $408 million; therefore, in order to find the per-barrel cost, we need to divide $408 by 20.4:
[tex] \frac{408}{20.4} = \$20 [/tex]
Hence the correct answer is $20.
−13 and a number 18 units to the right of −13"
tell me the equation?
Q # 13. please help to solve this
Explain how you would use equivalent fractions to solve 0.5 + 0.10
The prices (in dollars) of 50 randomly chosen types of shoes at 4 different stores are shown in the box plots. At which store would a person MOST LIKELY pay $18.75 for a pair of shoes?
A) Store A
B) Store B
C) Store C
D) Store D
The answer to this question is A.
In a box plot, the values outside box are less likely to occur than the values inside the box. The store a person MOST LIKELY pay $18.75 for a pair of shoes from is given by: Option A: Store A
How does a box-plot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.For all the box-plots plotted in the image attached, we can see that only the first box plot is such that the amount $18.75 is falling inside the box's boundaries.
The box is contained with more likely elements than those which are outside of it. It is because, the box contains those elements which are between first and third quartile. Since the selection was done randomly, so mean, median and mode all lie approximately on the same point due to the distribution tending to normal distribution(sample size is large enough (50 > 30, a needed sample size for consideration of that sample belonging from normal distribution)). Now, for the first graph, the median is closest to $18.75, and the more close a value is to center of a normal distribution, the more probable it is.
That's why, the store a person MOST LIKELY pay $18.75 for a pair of shoes from is given by: Option A: Store A
Learn more about box plot here:
https://brainly.com/question/1523909
A long rope should be divided into pieces of 27 meters long each. if the rope measures 1215 meters, how many cuts should we make?
Answer:
yes
Step-by-step explanation:
the largest doll is 12 inches tall. The height of each of the other dolls is 7/10 the height of the next larger doll. Write an expression for the height of the smallest doll. What is the height of the smallest doll?
Final answer:
The height of the smallest doll in a sequence is 4.116 inches found using the formula based on geometric progression, with each smaller doll having a height of 7/10 the height of the next larger one, starting from the largest at 12 inches.
Explanation:
To find the height of the smallest doll, we use a geometric sequence formula height of smallest doll = height of largest doll × (7/10)^n, with 'n' being the number of dolls smaller than the largest one.
To solve for a specific number of dolls, we'd need the value of 'n'. However, without knowing the total number of dolls in the sequence, we use the given formula to understand the pattern of the dolls' heights.
For illustrative purposes, if there were 3 dolls smaller than the largest, the height of the smallest doll would be 12 × (7/10)^3 = 12 × 0.343 = 4.116 inches. The exact height for the smallest doll would vary based on the total number of dolls in the set.
What percentage of the rectangular sheets of cardboard will be wasted because it is not part of the box and will be discarded when the net is cut out?
PLEASE HELP
Dimension : 18 x 24 x 12 in
When the square sheet of cardboard is cut and folded to create a rectangular box with a lid, the maximum possible volume is achieved when x = 20 inches. All other values will result in a smaller volume for the box.
Here, we have,
1. Calculate the side lengths of the box and lid:
Box: 40 inches - 2x = 40 - 2x
Lid: 2x
2. Calculate the volume of the box with a lid when x = 20 inches:
Box Volume:
(40 - 2x) x (40 - 2x) x (40 - 2x) = (40 - 2*20) x (40 - 2*20) x (40 - 2*20) = (20) x (20) x (20)
= 8000 in^3
Lid Volume: 2x x 2x x 2x = 2*20 x 2*20 x 2*20
= 8000 in^3
Total Volume: 8000 in^3 + 8000 in^3 = 16000 in^3
3. Calculate the volume of the box with a lid when x = 20/3 inches:
Box Volume: (40 - 2x) x (40 - 2x) x (40 - 2x) = (40 - 2*20/3) x (40 - 2*20/3) x (40 - 2*20/3) = (33 1/3) x (33 1/3) x (33 1/3)
= 7157.7 in^3
Lid Volume: 2x x 2x x 2x = 2*20/3 x 2*20/3 x 2*20/3
= 1365.3 in^3
Total Volume: 7157.7 in^3 + 1365.3 in^3
= 8523 in^3
4. Comparison:
When x = 20 inches, the box has a minimum possible volume of 16000 in^3, while when x = 20/3 inches, the box has a volume of 8523 in^3. Therefore, the statement is true.
Learn more about volume here
brainly.com/question/16134180
#SPJ2
Complete question:
The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume V of a rectangular box is given by V=lwh).
A. When x = 20 inches, the box has a minimum possible volume.
B. When x = 20 inches, the box has a maximum possible volume.
C. When x = 20/3 inches, the box has a minimum possible volume.
D. When x = 20/3 inches, the box has a maximum possible volume.
Consider a population of 300 with a mean of 60 and a standard deviation equal to 23 . what is the probability of obtaining a sample mean of 62 or less from a sample of 40 ?
The surface area of a sphere is S(x) = 4πx2, where x is the length of the radius of the sphere. Restrict the domain to create a one-to-one function. Find and describe the inverse function
Answer:
The answer is [tex]s^(-1 )(x) = (1)/(2\sqrt(\pi ))\sqrt(x)[/tex] .
Step-by-step explanation:
The input of [tex]s^(-1 )[/tex] is the surface area of a sphere; the output is the length of the radius.
ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply. ΔXYZ ≅ ΔLMN ∠Y ≅ ∠M ∠X ≅ ∠L ∠Z ≅ ∠L YZ ≅ ML XZ ≅ LN
Answer:
A)ΔXYZ ≅ ΔLMN
B)∠Y ≅ ∠M
C)∠X ≅ ∠L
F)XZ ≅ LN
Step-by-step explanation: correct on edge 2020
A reflected triangle is congruent to the original triangle with corresponding angles and sides being equal. However, the orientation changes such that ∠X corresponds to ∠L, ∠Y to ∠M, and ∠Z to ∠N in the reflected triangle. Similarly, side YZ corresponds to MN, not ML, and XZ corresponds to LN.
Explanation:In the subject of mathematics, specifically geometry, when you reflect a shape, the original shape and its image are congruent. This means they have the same size and shapes, but their orientation might differ. Therefore, the statement ΔXYZ ≅ ΔLMN is indeed true.
In terms of the specific angles, a reflection does not change their measures; it simply changes their orientations. Therefore, ∠X is congruent to ∠L, ∠Y is congruent to ∠M, and ∠Z is congruent to ∠N. However, the statement ∠Z ≅ ∠L is incorrect as Z corresponds to N, not L, in the reflected triangle.
Similarly, side lengths also remain the same in a reflection. Thus, XY corresponds to ML, YZ corresponds to MN and XZ corresponds to LN, making the statements YZ ≅ MN and XZ ≅ LN true. But the statement YZ ≅ ML is incorrect as YZ corresponds to MN, not ML, in the reflected triangle.
Learn more about Reflections in Geometry here:
https://brainly.com/question/32510633
#SPJ11
What equation results from completing the square and then factoring? x^2-8x=39
Group terms that contain the same variable
(x²-8x)=39
Complete
the square. Remember to balance the equation by adding the same constants
to each side
(x²-8x+16)=39+16
Rewrite as perfect squares
(x-4)²=55-------> (x-4)²-55=0(+/-)]x-4]=√55
(+)]x-4]=√55--------> x=4+√55
(-)]x-4]=√55-------> x=4-√55
the answer is
(x-4)²-55=0
Answer: (x-4)²=55
Step-by-step explanation:
This is apex answer
solve for x 19-24. find the measure of the angle indicated in bold for 25-28.
To solve for x in 19-24, x = -5. For the angle measurement in question for 25-28, more information is needed.
Explanation:To solve for x in 19-24, we subtract 24 from 19, which gives us x = -5.
Regarding the measurement of the angle indicated in bold for 25-28, the provided options (a, b, c) seem to be unrelated to this question. Could you please provide more information or clarify your query?
what is the median for the set of data shown? 26,34,38,49,65,75,81
Answer: 49
Step-by-step explanation:
We need to remember that the median of a set of data is the middle value in the set.
To find the median of a set of data the first step is to arrange the data in order from least to greatest, but, in this case, the set of data given is already arranged from least to greatest:
26,34,38,49,65,75,81
Therefore, you can oberve that the middle value in the set is the following:
26,34,38,49,65,75,81
Then, the median for this set of data is: 49
The answer is provided in the image attached.
Will give brainliest
The graph shows the function f(x).
Which value is closest to the average rate of change from x = 1 to x = 4?
A.−3.5
B.−2.3
C.−1.4
D.−0.3
Answer: B-2.3
Step-by-step explanation:
Just took the test heres the answer and proof
Solve the equation: x^3 - 12x^2 + 48x - 64 = 0
A grocer bought 300 pounds of bananas at 30 cents per pound. Experience at this store indicates that, as a result of aging, 30% of the bananas are sold at 80% of cost and another 10% are discarded. At what price per pound must the top-quality bananas be sold so that the total proceeds will result in a 20% markup on selling price? Round up to the nearest penny.
a. $0.51
b. $0.38
c. $0.30
i feel like its A but i am dumb
The Fergusons reported making the following payments during the year:
State income taxes of $4,400. Federal tax withholding of $4,000.
Alimony payments to John’s former wife of $10,000.
Child support payments for John’s child with his former wife of $4,100.
$3,200 of real property taxes.
Sandy was reimbursed $600 for employee business expenses she incurred. She was required to provide documentation for her expenses to her employer.
In addition to the $750 of Web design expenses, John attended a conference to improve his skills associated with his Web design work. His trip was for three days and he incurred the following expenses: airfare $370, total taxi fares for trip $180, meals $80, and conference fee of $200.
$3,600 to Kid Care day care center for Samantha’s care while John and Sandy worked.
$14,000 interest on their home mortgage.
$3,000 interest on a $40,000 home-equity loan. They used the loan to pay for a family vacation and new car.
$6,000 cash charitable contributions to qualified charities.
Donation of used furniture to Goodwill. The furniture had a fair market value of $400 and cost $2,000.
a. What is the Fergusons’ 2017 federal income taxes payable or refund, including any self-employment tax and AMT, if applicable? (Use the 2017 AMT exemptions.) (Round your answer to 2 decimal places.)
Answer:163.46
Step-by-step explanation:
Q # 20 solve the system by graphing. X + Y = 3 , Y = 2 x - 15
the answer is (6,-3)
Hey can you please help me posted picture of question
what is the quotient of 1 over (1 plus the square root of 3)?
For the data set below, calculate the variance to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52
A fair coin is tossed 25 times. what is the probability that at most 24 heads occur?
The probability that at most 24 heads occur is; 24/25.
What do we mean by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of all the events occurring need to be 1.
We have been given that a fair coin is tossed 25 times.
So, We need to find the probability:
Favourable outcomes = 24
Total outcomes = 25
The formula of probability = Favourable outcomes/Total outcomes
⇒ 24 /25
Therefore, the probability that at most 24 heads occur is; 24/25.
Know more about probability here:
brainly.com/question/24756209
#SPJ2
The probability of getting at most 24 heads in 25 tosses of a fair coin is approximately 99.999997%
The probability of getting at most 24 heads when a fair coin is tossed 25 times is essentially 100%, because the only other possible outcome is getting exactly 25 heads, which has a very small probability. Since each toss of a fair coin has only two possible outcomes (either head or tail), and each toss is independent, we can use the binomial distribution to find the probability of a certain number of heads occurring.
To calculate the probability of getting exactly 25 heads in 25 tosses, we use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the number of trials (tosses), so n=25,
k is the number of successes (heads) we're calculating the probability for, so k=25,
p is the probability of success on any given trial, which is 0.5 for a fair coin.
Substitute these values into the formula, we get:
P(X = 25) = (25 choose 25) * 0.5^25 * (1-0.5)^(25-25)
This equates to:
P(X = 25) = 1 * 0.5^25 * 1 = 1/33,554,432 ≈ 0.00000003 or 0.000003%.
Therefore, the probability of getting at most 24 heads is 1 - P(X = 25) which is approximately 0.99999997 or 99.999997%.
given f(x)=x^2 +3 find h(x) h(x)=f(5x)-f(-2)
Answer:
h(x) = 25x^2 -4
Step-by-step explanation:
Fill in the given arguments and evaluate:
h(x) = f(5x) -f(-2)
= ((5x)^2 +3) - ((-2)^2 +3)
h(x) = 25x^2 -4
304 students went on a field trip. seven buses were filled and 17 students traveled in cars. how many students were in each bus?
PLEASE HELP ***What is the length of AC??? Please help me understand how to find this
At 9AM, a freight train leaves Boston for NYC, traveling at an average rate of 24 miles per hour. At noon, a passenger train sets out on the same route, traveling at an average rate of 60 miles per hour. How far from Boston do the two trains pass each other?
___ miles
Final answer:
The freight and passenger trains will meet 120 miles from Boston at 2 PM, which is 2 hours after the passenger train departs.
Explanation:
To solve this problem, we need to figure out when the two trains will meet, given their different start times and speeds. Since the freight train leaves at 9 AM and the passenger train leaves at noon, there is a 3-hour difference between their departure times.
In those 3 hours, the freight train will cover a distance of 3 hours imes 24 miles/hour = 72 miles.
Both trains are now heading towards each other, with the passenger train moving faster. We need to find out how long it will take for the passenger train to catch up to the freight train, starting from the 72-mile head start.
Let's call the time it takes for the passenger train to catch up 't' hours. In 't' hours, the passenger train will cover 60t miles and the freight train will cover 24t miles.
Since the passenger train is trying to cover the lead that the freight train has plus the distance both are covering after noon, we can set up an equation: 60t = 72 + 24t. Solving for 't' gives us 't' = 72 / (60 - 24) = 2 hours. So, in 2 hours after noon, which is at 2 PM, the two trains will meet.
Now we find out how far from Boston they will meet by calculating the distance the passenger train travels in those 2 hours: Distance = 60 miles/hour imes 2 hours = 120 miles from Boston.
Kelly ask Tyrese to help her use the vertical line test to determine whether or not the curve that she was given it is a function Tyrese informed Kelly that an order for the given curve to be designated as a function of a vertical line drawn through any x value must intersect the Curve___ time(s)
General Idea:
Vertical line test is a test used to determine if a relation is a function. As per vertical line test, a relation is a function if there are no vertical lines that intersect the graph at more than one point.
Applying the concept:
Kelly ask Tyrese to help her use the vertical line test to determine whether or not the curve that she was given it is a function Tyrese informed Kelly that an order for the given curve to be designated as a function of a vertical line drawn through any x value must intersect the Curve [tex] ONE [/tex] time.
G technical mathematics with calculus volume 10 find the derivative of the function y = sqrt(x^2+1) using limits definition
Which of the following is a recurring fee?
A. Points
B. Appraisal
C. Taxes
D. Processing
If p(a) = 0.35, p(b) = 0.45, and p(a and
b.= 0.25, then p(a|b) is: