Answers
Answer:
6
Step-by-step explanation:
divide 3/4 by 1/8 (same as multiplying by 8)
this gives you 6
Related Questions
Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
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Answers
Bank Reconciliation Statement:
Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.
Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:
Cash account balance on May 1 $34,250Add: Deposits during May 140,300Less: Checks are written during May (138,880)Cash Account Balance as of May 31 $35,6701. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.
Balance as per cash account $35,670
Add:
Outstanding checks $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120 12,200Less:
Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement $43,5252. Journal Entries to be recorded:
May 31 Cash $5,250 Interest Revenue $250Notes Receivable $5,000(Collection of note with interest by the bank) May 31 Accounts Payable $90 Cash $90(Rectification of payement to Adkins Co.) May 31 Bank Charges $30 Cash $30(Bank service charges for May) May 31 Accounts Receivable $1,325 Cash $1,325(Check from Jennings Co. returned)3. Computation of cash account balance should be reported in the balance sheet on May 31:
Cash Account Balance as of May 31 $35,670Add: Note collected by the bank with interest $5,250 5,250Less: Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet $39,475Learn more about Bank Reconciliation Statement at:
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Where are the minimum and maximum values for f(x) = 2 sin x - 1 on the interval [0, 2π]?A. min:z = 0, 2 max:z =OB. min:z =max:z = 0,2플max:z = 0, 7, 2nC. min:z = max:z =D. min:z =Reset Selection
![Where are the minimum and maximum values for f(x) = 2 sin x - 1 on the interval [0, 2]?A. min:z = 0,](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/0hckJ5Z2CAWXkV5QJlwCsy93TyPcSlWp.jpeg)
Answers
Recall that the maximum/minimum value of a function is the place where a function reaches its highest/lowest point.
We know that:
\(\begin{gathered} For\text{ }all\text{ }x\in[0,2\pi] \\ -1\leq\sin(x)\leq1. \end{gathered}\)Multiplying the above result by 2 we get:
\(\begin{gathered} -1\times2\leq\sin(x)\times2\leq1\times2, \\ -2\leq2\sin(x)\leq2. \end{gathered}\)Subtracting 1 from the above inequality we get:
\(\begin{gathered} -2-1\leq2\sin(x)-1\leq2-1, \\ -3\leq2\sin(x)-1\leq1. \end{gathered}\)Therefore f(x) reaches a minimum at:
\(x=\frac{3\pi}{2}.\)And f(x) reaches a maximum at:
\(x=\frac{\pi}{2}.\)Answer: Option C.
Find the greatest common factor (GCF) of 60, 78, and
66.
10
5
13
6
Answers
Answer:
6
Step-by-step explanation:
Prime factorization of 60: 2 • 2 • 3 • 5
Prime factorization of 78: 2 • 3 • 13
Prime factorization of 66: 2• 3• 11
Common factors = 2* 3 = 6
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.
Answers
Answer:
3/15= 1/5 That's the answer
The table shows a linear relationship between x and y.
Answers
Answer:
slope=-9/2
y int- 6
Step-by-step explanation:
okay lets take two points
-2,15 and -6,33
the slope is 33-15/ -6-(-2)= 18/-4=-9/2
equation is y=mx+b where m is slope and b is y intercept
so plugging values in we get
15=-2(-9/2)+b
15=9+b
b=6
1.7 Basil Yamey is setting up a new business. Before selling anything, he bought a van for £9,000; a
transportable market stall for £1,800; a computer for £280; and an inventory of goods for £11,200. Fie
did not pay in full for his inventory of goods and still owes £5,000 for them. Fie borrowed £8,000 from
Luca Pacioli. After the eventsjust described, and before trading starts, he has £900 cash in hand and
£6,300 in the bank. Calculate the amount of his capital.
Answers
Answer:
the amount of Basil Yamey's capital is £16,480.
Step-by-step explanation:
To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.
The value of his assets is:
Van: £9,000
Market stall: £1,800
Computer: £280
Inventory of goods: £11,200
Cash in hand: £900
Money in the bank: £6,300
Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480
His liabilities are:
Amount still owed for inventory of goods: £5,000
Amount borrowed from Luca Pacioli: £8,000
Total liabilities = £5,000 + £8,000 = £13,000
Therefore, Basil Yamey's capital is:
Capital = Total value of assets - Total liabilities
Capital = £29,480 - £13,000 = £16,480
So the amount of Basil Yamey's capital is £16,480.
Answer:
Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.
The cost of the assets that Basil has purchased is:
£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280
He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:
£21,280 - £5,000 = £16,280
He borrowed £8,000, so the total amount of his capital is:
£16,280 + £8,000 = £24,280
He also has cash on hand and in the bank:
£900 (cash) + £6,300 (bank balance) = £7,200
So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.
The population of a citydecreased from 25,000 to 24,000. Find the decrease percentage,
Answers
Answer: the percentage decreased is 2%
Step-by-step explanation:
Answer:
2%
Step-by-step explanation:
The decreased population of a city from 25,000 to 24,500
Population decreased =25,000−24,500=500
= 500/25000 x 100 = 2%
find the first derivative with respect to x of the following function: f(x)=(7x+3)(4-3x)
Answers
Answer:
19 - 42x
Step-by-step explanation:
To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x
Sunset Lake is stocked with 2800 rainbow trout and after 1 year the population has grown to 7000. Assuming logistic growth with a carrying capacity of 28000, find the growth constant kk, and determine when the population will increase to 14600.
Answers
The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.
How to find the increase of population?The increase of population can be found by using the logistic equation. It is
\(P(t) = \frac{K}{1 + Ae^{-kt} }\)
Where
P(t) = population at time t (in years)K = carrying capacityA = (K- P₀)/P₀k = growth constant of proportionalityt = time (in years)Sunset Lake is stocked with the rainbow trout. We have
P₀ = 2800P(1) = 7000K = 28000Find the growth constant k and time t when P(t) = 14600!
A = (K - P₀)/P₀
A = (28000 - 2800)/2800
A = 25200/2800
A = 9
After 1 year, we have 7000 rainbow trout. The growth constant is
\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)
\(1 + 9e^{-k} = 4\)
\(9e^{-k} = 3\)
\(e^{-k} = \frac{1}{3}\)
k = - ln (1/3)
k = 1.0986
Use k value to find the time when the population will increase to 14600!
\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)
\(1.9178 = 1 + 9e^{-1.0986t}\)
\(0.9178 = 9e^{-1.0986t}\)
\(\frac{0.9178 }{9} = e^{-1.0986t}\)
\(t = \frac{ln \: 0.10198}{-1.0986}\)
t = 2.078
t ≈ 2.1 years
It is in another 1.1 years after t = 1.
Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.
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Linda has two glasses of pineapple juice. Glass A has 60 grams of juice at 30 °C. Glass B has 60 grams of juice at 40 °C.
Which of the following steps will make the kinetic energy of the molecules of the juice in both glasses equal?
Select one:
a. Add 15 grams of juice at 30 °C to Glass A
b. Add 15 grams of juice at 40 °C to Glass B
c. Decrease the temperature of juice in Glass B by 10 °C
d. Increase the temperature of juice in Glass A by 30 °C
Answers
Answer:
im not sure which but i know it is c or d
Step-by-step explanation:
Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9
Answers
Answer:
See belowStep-by-step explanation:
1. c increased by 5 is 5 ⇒ h. c + 5 = 5 2. 4 more than a number is 12 ⇒ b. n + 4 = 12 3. The product of 4 and n is 12 ⇒ i. 4n = 12 4. The difference of 27 and k is 15 ⇒ a. 27 - k = 155. 8 less than 3 times x is 10 ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20 ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3 ⇒ e. k - 8 = 3 8. Three times a number is 9 ⇒ j. 3n = 99. Twice a number plus 1 is 11 ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5 ⇒ c. c - 6 = 15For the given f(x), solve the equation f(x)=0 analytically and then use a graph of y=f(x) to solve the inequalities f(x)<0 and f(x)≥0. f(x)=ln(x+3)(1) What is the solution of f(x)=0?(2) What is the solution of f(x)<0?(3) What is the solution of f(x)≥0?
Answers
Explanation:
f(x) is a logarithmic function. Logarithmic functions are zero when the argument is 1:
\(\begin{gathered} f(x)=\ln (x+3)=0 \\ x+3=1 \\ x=1-3 \\ x=-2 \end{gathered}\)For greater values, the function is positive and for less values the function is negative.
Answers:
(1) x = -2
(2) x < -2. In interval notation x:(-∞, -2)
(3) x ≥ -2. In interval notation x:[-2, ∞)
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answers
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?
Answers
Solve for x:
)
(2 + 3x)
62
I
PLEASE SHOW WORK ON HOW YOU SOLVED FOR X
Answers
Answer:
x = 20
Step-by-step explanation:
These angles are vertical angles.
Vertical angles are congruent!! So we set them equal to one another.
2 + 3x = 62
-2 -2
3x = 60
---- ---
3 3
x = 20
Answer: x = 20
Concept:
Vertical angles: Pairs of opposite angles made by intersecting lines.
Vertical Angle Theorem: If 2 angles are vertical, then they are congruent.
If you cannot understand this, please refer to the attachment below for a graphical explanation.
Solve:
Given information
Angle 1 = (2 + 3x)°
Angle 2 = 62°
Set equation
Angle 1 = Angle 2
2 + 3x = 62
Subtract 2 on both sides
2 + 3x - 2 = 62 - 2
3x = 60
Divide 3 on both sides
3x / 3 = 60 / 3
\(\boxed{x=20}\)
Hope this helps!! :)
Please let me know if you have any questions
EXPONENTIAL FUNCTIONS HELP Write the function for each graph described below. the graph of f(x) = 2x reflected across the x-axis. The graph of f(x)= 1/3x translated up 5 units. The graph of f(x) = 3x left 2 units, and down 3. The graph of f(x) = 1/2x translated down 2 units. The graph of f(x) = 4x stretched horizontally by a factor of 3. The graph of f(x) = 2x up 4 units, right 3.
Answers
Answer:
-2^x(1/3)^x +53^(x +2) -3(1/2)^x -24^(x/3)2^(x -3) +4Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
___
Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
Answer:
-2^x
(1/3)^x +5
3^(x +2) -3
(1/2)^x -2
4^(x/3)
2^(x -3) +4
Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
___
Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
The multiplicative inverse of 1/16 ÷ 1/81 +-1/8
Answers
The Multiplicative inverse of 1/16 ÷ 1/81 +-1/8 is 16/79
What is multiplicative inverse?The multiplicative inverse of a number x is represented by x-1, which has the property that when multiplied by the original number, it has a value of 1. For instance, 2-1 is the multiplicative inverse of 2, as it meets the formula: 2 x 2-1 = 2 x 12 = 1. The reciprocal of a number is another name for it. A number that, when multiplied by a number x, produces the multiplicative identity 1, or 1/x or x1, is known as a multiplicative inverse or reciprocal in mathematics. B/a is the multiplicative inverse of the fraction a/b. Divide 1 by the real number to find its multiplicative inverse.Essentially a reciprocal, a multiplicative inverse is. The number that produces 1 when multiplied by the original number is known as the multiplicative inverse of that number.1/16 ÷ 1/81 + -1/8
1/16 ÷ 1/81 = 81/16
+ -1/8 = - 1/8
81/16 - 1/8
Then,
= 81/16 - 2/16
= (81 - 2)/16
= 79/16
Multiplicative inverse = 16/79
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If a picture measures 3 inches by 5 inches and it is dilated by a scale factor of 4, the new dimensions will be ________________________________________.
A. 12 inches by 20 inches
B. 15 inches by 15 inches
C. 7 inches by 9 inches
D. 0.75 inches by 1.25 inches
Answers
Answer:
A) 12 inches by 20 inches
Step-by-step explanation:
Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.
Therefore 3 inches x 4 = 12 inches
And 5 inches x 4 = 20
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Answers
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Answers
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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Help?? Please “Use a benchmark to compare 4/7 and 2/10”
Answers
Answer:
4/7 > 2/10
Step-by-step explanation:
4/7 is close to 1/2
2/10 is close to 0
4/7 > 2/10
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
9.4 ( 4 + 12 ) = 145.6
Step-by-step explanation:
i used a calculator
Idk how to do this help
Answers
Answer:
b
Step-by-step explanation:
because ik it is tell me if I'm wrong pls
A triangle has side lengths of ( 1.3 t + 7.9 u ) (1.3t+7.9u) centimeters, ( 2.4 t − 4.8 v ) (2.4t−4.8v) centimeters, and ( 6.8 v − 9.8 u ) (6.8v−9.8u) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Step-by-step explanation:
why did you mention the definition of every side twice ?
I think we need only one per side right ?
because otherwise we would have to do all 3 multiplications before summing things up.
I sorted the terms for the sum based on their variable.
after all, the perimeter of a triangle is the sum of all 3 sides.
1.3t + 7.9u
2.4t - 4.8v
- 9.8u +6.8v
--------------------------
3.7t - 1.9u + 2v cm
Can anyone please help me answer this Math Question ? Soon as possible !
Monique went to the emergency room for stitches after she accidentally cut her hand while preparing a meal. Monique's insurance policy has a $1,000 deductible and a 10% co-pay after the deductible, and Monique has already spent $200 on approved health care costs this year. Monique's emergency room bill was $1,350. How much of the bill must Monique pay on her own?
Answers
Using proportions, it is found that Monique must pay $115 on her own.
What is a proportion?A proportion is a fraction of total amount.
In this problem, for Monique bill, we consider that:
She has a $1,000 deductible, hence $1,000 is removed from the bill, which is now of $350, as 1350 - 1000 = 350.She has a 10% co-pay after the deductible, hence 0.1 x 350 = $35 is deducted from the bill, which is now of $315, as 350 - 35 = 315.She has already spent $200 on approved health care costs this year, which is also deducted, and the bill will be of $115, as 315 - 200 = 115.You can learn more about proportions at https://brainly.com/question/24372153
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
Answers
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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Let’s assume that 41% of Californians have been to Disneyland. A random sample of 6 Californians are chosen and asked if they have ever been to Disneyland.
a) Define a random variable X for this situation.
b) Is X binomial or geometric or neither? Explain.
c) Out of the 6 people asked, with is the probability that exactly 3 have been to Disneyland?
d) What is the mean of X?
e) What is the standard deviation of X?
f) What is the probability that the number of Californians in this sample that have been to Disneyland is within one standard deviation of the mean?
Answers
a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.
b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).
c) The probability =3.05.
d) The mean of X is 2.46.
e) The standard deviation of X is 1.2.
f) The probability 68.27%.
What is standard deviation?It is used to measure the spread of data around the mean or expected value.
a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.
b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).
c) The probability of exactly 3 people having been to Disneyland is 3.05.
This is calculated using the binomial probability formula:
P(x=3) = (6³) * (0.41³) * (0.59³)
= 3.05
d) The mean of X is 2.46. This is calculated using the binomial mean formula:
μ = n * p
= 6 * 0.41
= 2.46
e) The standard deviation of X is 1.2. This is calculated using the binomial standard deviation formula:
σ = √[n * p * (1 - p)]
= √[6 * 0.41 * (1 - 0.41)]
= 1.2
f) The probability that the number of Californians in the sample that have been to Disneyland is within one standard deviation of the mean is 68.27%.
This is calculated using the standard normal distribution z-score formula:
P(1.19<z<2.73) = 0.6827
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What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Answers
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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The following scatter plot shows how the cumulative sea level has changed from
1880 to 2015. Which correlation coefficient best represents the scatter plot?
A. r=-0.98
B. r=-0.5
C. r=0.5
D.r=0.98
Answers
Based on the scatter plot shown, the correlation coefficient that best represents the scatter plot is r = 0.98.
What is a scatter plot?Several dots are placed on a horizontal and vertical axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the degree of correlation, if any, between the values of observed quantities or occurrences called variables.
The scatter plot shown shows a highly positive correlation between the data. Hence, the value of the correlation coefficient is very nearly 1.
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What is 0.01 times 100
Answers
Answer:
1 because you just move the decimal places two times to the left!
Hope this helps :D