According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
What exactly is a histogram, and why is it useful?A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.
How do you interpret a histogram?Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.
Briefing:Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.
So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .
Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.
Therefore,
according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
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Find the volume of the solid.
The volume of the solid is
cubic centimeters.
Answer:
27
Step-by-step explanation:
4.5*3*2 = 27
hi,
You just have to multiply the three measures.
So :
2*3*4.5 = 27 cm³
Easy, is it not ?
Edgar is getting better at the game Tetris. On his first game he scored 57 points, then he scores 61 and 65 on his next two games. If his scores continued to increase at the same rate, what will be his score on his 52 the game?
Answer: 208 points in total
Step-by-step explanation:
multiply 52(the amount of games) by the rate of change (which is 4)
Find the supplement of 29°
Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
Figure ABDC is a parallelogram find the information below
Please help thank you
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Answer:
DC = 16∠DCB = 120°EB = 10.2∠ADC = 60°∠ABE = 17°Step-by-step explanation:
The figure is a parallelogram, so ...
AB ≅ DC = 16
Opposite angles are congruent, so ...
∠DAB ≅ ∠DCB = 120°
The diagonals cross at their midpoints, so ...
ED ≅ EB = 10.2
Adjacent angles in a parallelogram are supplementary, so ...
180° -∠DAC = 180° -120° = ∠ADC = 60°
The sum of angles in ∆ABD is 180°, so ...
180° -120° -43° = ∠ABE = 17°
Please help, 20 points! :)
Step-by-step explanation:
We are given 4x+y=6x-1 to graph. The easiest way to graph is to turn this equation into slope-intercept form, which is y=mx+b.
First, we are going to subtract 4x from both sides to isolate the y variable which gets us y=2x-1, and now we have slope-intercept form. Now we're going to use what we know about the form to graph.
In such form, m is the slope and b is the y-intercept. Our b in our equation is -1, so you're going to put a dot at (0,-1) on the y-axis. Then for our slope, it is 2, but it's easier to envision as rise over run where 2 is how much we rise and 1 is how much we run (or move to the right). So from our starting point from the y-axis, we're going to move up 2 units and then to the right one unit. And with two dots on the graph, we can run a line through it which will give us our graphed line.
For safe measures, you can continue the pattern of rising 2 and running 1, or you can go down 2 and left 1, which is the opposite and yet still confines to the line.
If you don't understand this explanation, I also recommend checking out desmos! It's a graphing calculator online in which you can plug this equation in and it graphs it for you! The file I have attached to this is from desmos to help you see the graph, I hope you do well!
To solve this problem we will have to convert 4x + y = 6x - 1 to point - slope form, for simplicity --- ( 1 )
4x + y = 6x - 1,
- 2x + y = - 1,
Point - Slope Form : y = 2x - 1
Now let's graph this equation. Consider the x - intercept and y - intercept of this graph --- ( 2 )
0 = 2x - 1
2x = 1
x = 1 / 2 = 0.5 ( x - intercept ),
y = 2(0) - 1 = 0 - 1 = - 1 ( y - intercept )
We know that the x - intercept is 0.5, so we can plot the point (0, 0.5). Similarly we can plot the point ( - 1,0 ) given the y - intercept is - 1. After plotting these points we can run a line through them, creating our graph.
A multiple-choice quiz has 20 questions each with 4 possible answers of which only 1 is the correct answer. What is the probability that sheer guesswork yields 4 correct answers for 5 of the 20 problems about which the student has no knowledge?
The probability that sheer guesswork yields 4 correct answers for 5 of the 20 problems about which the student has no knowledge is 15/16384.
1. Calculate the probability of guessing one question correctly:
Since there is only 1 correct answer out of 4 possible answers, the probability is 1/4.
2. Calculate the probability of guessing one question incorrectly:
Since there are 3 incorrect answers out of 4 possible answers, the probability is 3/4.
3. Calculate the probability of guessing 4 questions correctly and 1 question incorrectly:
This is (1/4)^4 * (3/4) = 3/16384.
4. Determine the number of ways to arrange 4 correct answers and 1 incorrect answer among 5 questions. This can be calculated using the binomial coefficient formula:
C(n, k) = n! / (k!(n-k)!)
where n = 5 (total questions) and k = 4 (correct answers). So,
C(5, 4) = 5! / (4!(5-4)!) = 5.
5. Multiply the probability of guessing 4 questions correctly and 1 question incorrectly by the number of ways to arrange the answers: 3/16384 * 5 = 15/16384.
So, the probability that sheer guesswork yields 4 correct answers for 5 of the 20 problems is 15/16384.
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hey guys! which one is it (photo below)
CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Simplify the expression:2/3 / (4) - [1/6 - 8/6]
A. 1
B. 29/24
C. -24/17
D. 23/24
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Answer:
A. 1
Step-by-step explanation:
\(\dfrac{2}{3}\div(-4)-\left(\dfrac{1}{6}-\dfrac{8}{6}\right)\\\\=\dfrac{2}{3}\cdot\dfrac{-1}{4}-\left(\dfrac{1-8}{6}\right)=\dfrac{-2}{12}-\dfrac{-7}{6}\\\\=-\dfrac{1}{6}+\dfrac{7}{6}=\dfrac{-1+7}{6}=\dfrac{6}{6}=\boxed{1}\)
Answer:
It is A 1
Step-by-step explanation:
Because I did the exact same lesson as you hope it helps!!!
Find the value of x and y
Answer:
(5x+4)=114(vertically opposite angle)
5x=114-4
x=110/5
x=22
(3x-24)+(2y)+144=180(sum of straight line angle)
(3X22-24)+(2y)=180-144
(66-24)+2y=36
42+2y=36
2y=36-42
y=(-6)/2
y=-3
Find the distance between the points (-4, -3) and (4, 3).
Answer:
10 units is the solution
Please I NEED HELP ASAP FOR 10 POINTS PLEASE ASPA HELP MEE QUESTION #8
Answer:
For the top row, 3 and 4, respectively
For the bottom row, 60 and 150, respectively
Step-by-step explanation:
w increases by 1 every time and d increases by 30
Answer:
for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks and for 5 weeks its $150.
Step-by-step explanation:
She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.
Determine the quadrant or axis where the terminal side of each angle lies.
4π / 3 radians
The terminal side of the angle 4π/3 radians lies in the third quadrant.
To determine the quadrant or axis where the terminal side of an angle lies, we need to analyze the value of the angle.
The angle 4π/3 radians is greater than π radians but less than 2π radians. In the Cartesian coordinate system, this places the angle in the third quadrant.
In the third quadrant, both the x-coordinate and y-coordinate of points are negative. Since the angle 4π/3 radians is formed by the terminal side rotating clockwise from the positive x-axis, it lies in the third quadrant.
Therefore, the terminal side of the angle 4π/3 radians lies in the third quadrant of the Cartesian coordinate system.
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You and your 3 friends went to Texas Steakhouse for dinner. The total
bill was $ 100, there was a 8% sales tax and you gave waiter an 18%
tip. How much did you pay?
Answer:
$126
Step-by-step explanation:
100 * 0.08 = 8
100 * 0.18 = 18
100 + 8 + 18 = 126
what is an equivalent expression to 4(5a+2-3b)
Graph the line with slope -2 passing through the point (-1, 2).
Pippa had 3/4 cup of spaghetti sauce. She needs to divide the sauce evenly over over two bowls of pasta. How much sauce will each bowl get
In linear equation, 4 cups of pasta are used per cup of sauce.
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.We have,
3 cups of pasta = 3/4 cup of sauce
We need to make 3/4 cup of sauce as 1 cup of sauce.
Multiply 4/3 on both sides.
4/3 x 3 cups of pasta = 4/3 x 3/4 cup of sauce
4 cups of pasta = 1 cup of sauce
Thus 4 cups of pasta are used per cup of sauce.
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An investor deposited $7,590 in a savings account 10 years ago that earns simple annual interest. today, the account balance is $11,916.30. what is the simple interest rate?
To find the simple interest rate, you can use the following formula:
Simple interest rate = (ending balance - starting balance) / (starting balance * number of years)
In this case, the starting balance is $7,590, the ending balance is $11,916.30, and the number of years is 10. Plugging in these values, we have:
Simple interest rate = ($11,916.30 - $7,590) / ($7,590 * 10)
= ($4,326.30) / ($7,590 * 10)
= $4,326.30 / $75,900
= 0.057 or 5.7%.
Therefore, the simple interest rate is 5.7%.
Answer:
Suppose an investor invested $7,590 in a savings account with basic yearly interest 10 years ago. The account currently has a balance of $11,916.30. 5.7% is the basic interest rate.
Why do we call something "interesting"?
You must pay interest on money you borrow, and you must add interest to money you lend. The most typical approach to display interest is as a percentage of the annualized principal amount of a loan. This ratio represents the interest rate on the loan.
What is meant by an interest example?
By examining the rate, a person can figure out exactly how much interest they will accrue or pay on a loan. For example, if a $100 loan had a nominal interest rate, there would be a $6 interest fee.of 6% ($100 X 0.06). Despite an increase in loan size, the rate doesn't change. Even if the loan amount were increased to$1,000, the borrower would still be expected to pay 6% of the total.
Step-by-step explanation:
Find the perimeter and area of the polygon with the given vertices.
W(5,−1), X(5, 6), Y(2,−1), Z(2, 6)
Answer:
Perimeter: 20, Area: 21
Step-by-step explanation:
Based on points (2,6) and (5,6) : w = 5 - 2 = 3 Base on points (5,6) and (5,-1 ): l = 6 - (-1) = 7 Perimeter: 2 x (3 + 7) = 20 Area: 3 x 7 = 21SOMEONE PLEASE HELP ME WITH THIS QUESTION AND SHOW WORK ASAP.
Answer:
1,121.44 or 1,121.4 (nearest tenth)
Step-by-step explanation:
l = 16.8
w = 8.9
h = 16
A = 2(lw + wh + lh)
2((16.8)(8.9) + (8.9)(16) + (16.8)(16))
2(149.52 + 142.4 + 268.8)
560.72(2)
Answer:
Below
Step-by-step explanation:
SA = 2(w x l + h x l + h w)
= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)
= 1,121.44 m2
With rounding = 1,121.4 m2
Hope this helps!
What type of problem is "What number multiplied by the expression of 5 x 10^3 is equivalent to the expression 5 x 10^6?"
Not asking for a solution, just wondering what kind of problem it is
We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.
Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒ (3+4)
Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.
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The volume of a rectangular pyramid is 176 units³. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 11 units, find the height of the pyramid.
Answer:
2.66unit
Step-by-step explanation:
volume=176
l×b
6×11=66
Therefore,176÷66=2.66unit
The coordinates of the vertices of triangle 1 are A(6,6), B(12.9), C(9,6).
The coordinates of the vertices of triangle 2 are A (2,2), B’ (4.3). C° (3,2).
What transformation was performed on triangle 1 to create triangle 2?
Translation
Reflection across the x-axis
Reflection across the y-axis
Dilation
Answer:
Step-by-step explanation:
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?
Answer:
2
Step-by-step explanation:
4 chipped + 16 not chipped = 20 total
4 / 20 = 1/5 or 20% chance that vase will be chipped
Set up a proportion or find 20% of 10.
\(\frac{1}{5} = \frac{x}{10}\) x = 2 (ten is on denominator because it's the total amount of vases)
or 10 * 0.2 = 2
a gym member renews their membership every 6 months and gets 4 free personal training sessions at the time of renewal. if the member had 12 personal training sessions at the time of their first renewal. what is the total number of personal training sessions they would have received after 5 renewals ?
The total number of personal training sessions they would have received after 5 renewals is given as follows:
20 training sessions.
How to obtain the number?The total number of personal training sessions they would have received after 5 renewals is obtained applying the proportions in the context of the problem.
The person gets four free sessions after each renewal, hence after five renewals, the number of training sessions is given as follows:
5 x 4 = 20 training sessions.
(the proportion is applied as we get the number of sections for each renewal, hence for n renewals, we simply multiply the number n by the constant).
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Assume x and y are functions of t. Evaluate dtdy for 3xy−2x+6y 3=−36, with the condfions didx=−24,x=6,y=−1. dtdy=
The value of dtdy is 10/3. To evaluate dtdy for the given expression, we can use the chain rule of differentiation. Given the equation 3xy - 2x + 6y^3 = -36, we need to find dtdy.
First, let's differentiate the given equation with respect to t using the chain rule. Since both x and y are functions of t, we have:
(d/dt)(3xy - 2x + 6y^3) = (d/dt)(-36)
Now, applying the chain rule, we get:
(3y(dx/dt) + 3x(dy/dt) - 2(dx/dt) + 18y^2(dy/dt)) = 0
Substituting the given conditions dx/dt = -24, x = 6, and y = -1 into the equation, we can solve for dy/dt:
(3(-1)(-24) + 3(6)(dy/dt) - 2(-24) + 18(-1)^2(dy/dt)) = 0
Simplifying the equation:
(72 - 18(dy/dt) + 48 - 18(dy/dt)) = 0
120 - 36(dy/dt) = 0
Now, solve for dy/dt:
36(dy/dt) = 120
dy/dt = 120/36
dy/dt = 10/3.
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Area of the plane figure
Answer:
Area = 16.8 * 7 / 2 = 58.8 ft2
Step-by-step explanation:
Have
18.2^2 = 7^2 + a^2
-> a^2 = 18.2^2 - 7^2
-> a^2 = 282.24
-> a = 16.8
Area = 16.8 * 7 / 2 = 58.8 ft2
a tank contains 100 l of pure water. brine that contains 0.1 kg of salt per liter enters the tank at a rate of 10 lymin. the solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt is in the tank after 6 minutes?
4.512 kg
Step-by-step explanation:
What is the median of the following data set?
{6, 3, 9, 1, 7}
3
6
8
9
Answer:
6
Step-by-step explanation:
First order them from least to greatest:
1, 3, 6, 7, 9
The median is 6 because it is the middle value.
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