Answer:
1 hour/ 32 miles
Step-by-step explanation:
how many 1/4 are in 3 inches
Answer:
12 inches
Step-by-step explanation:
3 inches / (1 / 4) = 12 inches
Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000
The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .
We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.
Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.
In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:
z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1
Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:
0.8413 - 0.1587 = 0.6826
We can get the percentage of consumers who spent between by multiplying this by 100% is \($149,000\) and \($151,000\):
0.6826 x 100% = 68.26%
Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\) for this model of new homes.
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A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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What is 20 yards to meters? pls tell me how you got the answer
Answer:
the answer is 18.288
Step-by-step explanation:
meters=yards X 0.9144
so you do 20 X 0.9144
and you type that into the calculator and you will get 18.288
Which expression is equivalent to 8a + 12b?
Answer:
4 (2 a + 3 b)
Step-by-step explanation:
Simplify the following:
8 a + 12 b
Factor 4 out of 8 a + 12 b:
Answer: 4 (2 a + 3 b)
A farmer wants to build a rectangular fence to enclose a 144\ \textup{ft}^2 yard. If the yard is square, how many feet of fence will he need?
Answer:
12* 12 = 144
thus 4*12 = 48 feet of fence
Step-by-step explanation:
What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
HELPP PLEASE W A MATH PROBKEN If x is 6, what is:
X +4
Answer:
10
Step-by-step explanation:
x=6, so 6+4=10
Answer:
10
Step-by-step explanation:
so if x is 6 then it would be 6+4=10
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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9) Martin was jogging to school at a speed of 10 mph. Unfortunately,
when he was halfway there, he sprained his ankle and his mom had
to give him a ride the rest of the way at 40 mph. After school Martin
rode the bus home at an average speed of 20 mph. What was
Martin's average speed on his round trip to school and back?
23.33mph
Step-by-step explanation:
You add all the speed and divide it by 3
You are given a line with a slope of -4. What would the slope of a parallel line be?
what is (f . g)(3)?
in this problem.
The value of (f.g)(3) in the problem is 132 , the correct option is (b)132 .
The value of the function (f.g)(x) can be calculated using f(x)*g(x).
which means (f.g)(x) = f(x)*g(x)
In the question , it is given that
the function f(x) = 3x+2
the function g(x) = 4x
then f(3) = 3*3+2 = 9+2 = 11 ...(i)
and g(3) = 4*3 = 12 ...(ii)
So the value of (f.g)(3) = f(3).g(3)
Substituting the values from equation(i) and equation(ii)
we get ,
= 11*12
= 132
Therefore , the value of (f.g)(3) is 132 , the correct option is (b)132 .
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Suppose findmin is an algorithm that finds the minimum of a set and has a worst-case time complexity of Oxn). The function prepend takes a set and adds a new element in the first position. The given algorithm sorts a list in ascending order.
The worst case complexity for the algorithm is O(n²)
In the worst case, every time we call the function findmin(list)
where list of length n, it will take O(n) operations.
For simplicity we can assume it will take n operations.
Since in each call , list decreases in one element until it is finally empty.
the number of operations in the while loop is:
n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2
Therefore the worst case complexity for the algorithm is O(n²).
Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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If yk all 4 I'll mark brainliest pls hurry!!
Answer:
For the function f(x) = 3x - 8,
f(0) = -8
f(4) = 4
f(-4) = -20
f(1/3) = 7
Step-by-step explanation:
Given:
f(x) = 3x - 8
f(0) = 3(0) - 8
f(0) = 0 - 8
f(0) = -8
f(4) = 3(4) - 8
f(4) = 12 - 8
f(4) = 4
f(-4) = 3(-4) - 8
f(-4) = -12 - 8
f(-4) = -20
f(1/3) = 3(1/3) - 8
f(1/3) = 1 - 8
f(1/3) = 7
Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.
Melissa and Corey started on different trails.
Melissa hiked up the trail for a longer period of time than Corey.
Melissa and Corey crossed paths between 60 and 90 minutes.
Corey began his descent before Melissa.
As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.
The true statements are (A), (B) and (D)
What is data?Data is information that has been translated into a form that is efficient for movement or processing.
As, from the given table we can see that
Melissa and Corey started on different trails.Melissa hiked up the trail for a longer period of time than Corey.Corey began his descent before Melissa.Learn more about this concept here:
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judith is planning a party for her younger brother
Answer:
COOL
Step-by-step explanation:
A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'A' GIVEN they are male.
The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:
P(A | Male) = P(Male | A) × P(A) / P(Male)
We can find the values of the terms in the formula using the information given in the table:
P(Male) = (25/54) = 0.46 (the proportion of all students who are male)
P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')
P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')
Therefore, plugging these values into the formula:
P(A | Male) = 0.18 × 0.31 / 0.46
P(A | Male) ≈ 0.12
So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
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Use parenthesis to make each number sentence true.
124 - 6 x 0 + 15 = 34
Answer:
12 - 6 x (0 + 15) = 34
How I got my answer
First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.
P.S. Sorry if it was confusing, I didn't really know how to explain it
A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1ż cups of granulated sugar, and 4 cups of
frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for
students to eat at lunch?
O 4 gallons
O 8 gallons
O 40 gallons
O 80 gallons
its 4 gallons.
Answer:
\(\huge\boxed{\sf 320\ servings = 4\ gallons}\)
Step-by-step explanation:
1 gallon = 16 cups (STANDARD)
For 10 servings:
10 servings = 2 cups of water
10 servings = 2 / 16 gallons
10 servings = 0.125 gallons
For 320 servings:
10 servings = 0.125 gallons
Multiply both sides by 32
10 * 32 servings = 0.125 * 32 gallons
320 servings = 4 gallons
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer: The answer is 4 gallons.
Step-by-step explanation: A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries. So the Answer is 4 gallons
Sorry but someone got ride of it so i hade to add it again please mark brainliest :)
2. Let x represent the day number and let y be the number of people who know about the soft opening on day x. Consider the day before Jan told anyone to be Day 0, so that Jan is the only person who knows about the opening on Day 0. Day 1 is the first day that Jan told two people about the opening. a. Complete the following table. Day0 1 2 3 4 5 Number of people who know 1 3
The sequence for the given situation is:
\(\begin{gathered} y_0=1 \\ \\ y_x=1+2(y_{x-1}) \end{gathered}\)y (number of people who know about the soft opening
y0: number of people who know about the soft opening at day 0
As each person will tell 2 people about the soft opening you multiply the number of people of previous dat (y(x-1)) by 2 and add to it the initial number of people (1).
Then, the data in the table is find using the formula of the sequence above:
\(\begin{gathered} y_2=1+2(y_1) \\ y_2=1+2(3) \\ y_2=1+6 \\ y_2=7 \\ \\ \\ y_3=1+2(y_2) \\ y_3=1+2(7) \\ y_3=1+14 \\ y_3=15 \\ \\ \\ y_4=1+2(y_3) \\ y_4=1+2(15) \\ y_4=1+30 \\ y_4=31 \\ \\ \\ y_5=1+2(y_4) \\ y_5=1+2(31) \\ y_5=1+62 \\ y_5=63 \end{gathered}\)You get the next table:You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
find the sum and difference of the following expressions a-b and b-a
9514 1404 393
Answer:
sum: 0difference: 2a -2bStep-by-step explanation:
Sum
(a -b) +(b -a) = a - a + b - b = 0
Difference
(a -b) -(b -a) = a +a -b -b = 2a -2b
Answer:
free points
Step-by-step explanation:
sry i really need points i have like 50
helpp I dont know math at all and my midterms are next week this is just a review
Answer:
26+c<42
(Second answer choice)
how are planes named in geometry
Answer:
Step-by-step explanation:
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}\)
What is the fifteenth term of the sequence
5,-10,20,-40,80,...?
1)-163 840
2)-81.920
3)81,920
4)327.680
Answer:
81920.
Step-by-step explanation:
1) the ration of the given sequence is -2=-10/5=20/(-10)...
2) the 15th term can be calculated according to the formula:
a₁₅=a₁*(ratio)¹⁴, then
a₁₅=5*(-2)¹⁴=-5*1024*16=81920.
Option B: More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).
As the owner of a medium to a large company, new technologies such as AI can be used to support daily operations because of Option B. More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).
What is AI (Artificial Intelligence)?Artificial intelligence (AI) is an algorithm that gives a robot or computer the ability to undertake tasks normally done by human beings.
The tasks were previously required human intelligence and discernment but can now be handled by a robot or a computer.
Question Completion:Artificial Intelligence (AI) is not a new phenomenon, but it is still a growing concern for many industries. While the human element remains the most important factor in most businesses, the accounting industry is not exempt from the threat of new technologies. If you were the owner of a medium to a large company, how could you use new technologies such as AI to support your daily operations? Select and discuss one of the options below.
Answer Options:Option A: Cost savings associated with payroll and other personnel costs (i.e. training and development, employee hiring)
Option B: More accurate and efficient financial reporting (i.e. reduction in human errors, increased productivity)
Thus, AI enables accurate and efficient financial reporting with increased productivity.
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Kaleb arranges the numbers and symbols to an expression that equals 16.What expression does he make? 3 15 21 ÷ -
Step-by-step explanation:
\(21 - 15 \div 3 \\ \)