There are twelve marbles in a bag (7 green, 4 yellow, and 1 blue). What is the probability that you pull a green marble (and keep it) and then pull another green marble?
Answers
Answer:
Step-by-step explanation:
There are 7+4+1=12 marbles in the bag. The chances of drawing a green one on the first draw is 7/12. The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).
To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).
Related Questions
You have have a bag of marbles (3 purple, 5 green, and 4
yellow)
Write your probability in fraction form-no need to reduce
1a) What is the Plyellow marble)=
1b) What is the P(purple marble)=
1c) What is the Plyellow marble "and" purple marble)
1a) 4/12, 1b) 3/12, 1c) 12/12
1a) 4/100, 1b) 3/100, 1c) 12/100
1a) 4/12, 1b) 3/12, 1c) 12/144
1a) 4, 1b) 3, 1c) 12
Answers
Answer:
4/12 = yellow
3/12 = purple
12/144 = yellow and purple
Step-by-step explanation:
the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)
Answer:
The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.
Step-by-step explanation:
This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
Probability of yellow marbles : 4/12
To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of purple marbles : 3 purple
Probability of purple marbles : 3/12
To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
The amount of purple marbles : 3 purple
Probability of yellow marbles : 4/12
Probability of purple marbles : 3/12
Probability of both marbles : 12/144
• Use the distributive property to write an expression that is equivalent to 8(a + 4). 8(a + 4) = ? a+ ?
Answers
The required simplified value of the given expression using the distributive property is 8a + 32.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The distributive property is defined as,
a(b + c) = ab + ac
From the above property,
8(a + 4) = 8a + 32
Thus, the required simplified value of the given expression using the distributive property is 8a + 32.
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Which function is positive for the entire interval [-3, -2]?
![Which function is positive for the entire interval [-3, -2]?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/P93aHONUTgvTZBR6z2lcTQY7lyjBVWJf.png)
Answers
Answer:
A function that is positive in the entire interval [-3, -2] is -x2 - 5x - 5.
Answer:
The second function (second graph and choice)
Step-by-step explanation:
If you look at the second function you will see that within the closed interval [-3,-2] the graph y values are positive
First choice is incorrect since at x = -2 the y value is negative
Third choice incorrect since at x = -2, y value is negative
Fourth choice incorrect since y value is negative for x = -2
670 rounded to the nearest integer
Answers
Step-by-step explanation:
do you mean 6.70 because if you do I think it is 7 but I am not sure
A random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 9.5.
Answers
Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.
we can infer that -
95 % CI for mean 9.1744 to 10.8256
Since p >0.05 accept null hypothesis.
standard deviation sigma not known. df = 24
H0: x bar = 9.5
Ha: x bar not equals 9.5
t-statistic 1.250
P = 0.2234
We fail to reject null hypothesis
There is no statistical evidence at 5% level to fail to reject H0
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Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn? Write an equation and solve
Answers
Music us enjoy to --- and said aaaa
a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30
Answers
4 elephants
20 monkeys
6 zebras
//
z - 2 = elephants
(6) - 2 = 4 elephants
5(e) = monkeys
5(4) = 20 monkeys
20 + 4 + 7 = 30
If m DBC = 25x+ 7 and m TBC = 12x+ 5 =, find the degree measures of TBC, DBT, and DBC.
Answers
Step-by-step explanation:
DBC = TBC + DBT
DBT = DBC - TBC
DBT = 25X +7 -( 12X + 5 )
DBT = 25X + 7 - 12X -5
DBT = 13 X + 2
TBC = 12x + 5
DBC = 25x + 7
ur question is missing an information to find x
Plz help give me explanations plz brainliest anwser will be given.
Answers
Answer: 8 nickels
Step-by-step explanation:
To find the amount of nickels, we can use system of equations. Let's use n for nickel and d for dimes.
Equation 1
n+d=30
This equation comes from the total amount of coins.
Equation 2
0.05n+0.1d=2.6
This equation comes from the worth of the nickels and dimes added together.
To the amount of nickels, we can use elimination method.
0.1n+0.1d=3
0.05n+0.1d=2.6
Now that the dimes are equal, we can subtrace the equations.
0.05n=0.4
n=8
There are a total number of 8 nickels.
Evaluate: (6² x| 6³ + 3 ) + 2² - 2 ?
Answers
Answer:
7781
Step-by-step explanation:
order of operations = PEMDAS P- Parentheses then E- Exponents then M- Multiplication then D- Division then A- Addition then S- Subtraction
(6² x| 6³ + 3 ) + 2² - 2
(36 x 216 + 3 ) + 2² - 2
(36 x 216 + 3 ) + 2² - 2
(7776 + 3 ) + 2² - 2
(7779 ) + 2² - 2
7779 + 4 - 2
7783 - 2
7781
Given matrices A of mxn B of pxq C = AB Which of the following statements about C is true? C exists only if n = p C does not exist C exists only if m = q C is always a square matrix
Answers
The statement that is true about matrix C, which is the product of matrices A and B (C = AB), is that C exists only if n = p.
For matrix multiplication to be defined, the number of columns in matrix A must be equal to the number of rows in matrix B. In other words, if A is an mxn matrix and B is a pxq matrix, then the product AB will only exist if the number of columns in A (n) is equal to the number of rows in B (p). If n is not equal to p, then the product AB cannot be calculated, and C does not exist. Therefore, the correct statement is that C exists only if n = p. It is important to note that this condition is necessary for the matrix product to be defined, but the resulting matrix C may or may not be square depending on the dimensions of A and B.
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barbara draws a parallelogram. jason thought it might be a rhombus. what additional information would have to be true for the parallelogram to also be a rhombus?
Answers
The additional information that would have to be true for the parallelogram to also be a rhombus is D. Opposite angles congruent
How to illustrate the parallelogram and rhombus?All rhombuses are parallelograms, but not all parallelograms are rhombuses. In a rhombus, all four sides are equal and the diagonals intersect at 90 degrees. In a parallelogram, the opposite sides are equal and the diagonals bisect each other.
Because its sides are parallel to one another, a rhombus can also be referred to as a particular kind of parallelogram. 360° is the total number of angles in a rhombus. Angles on either side of one another are equal, and adjacent angles are supplementary angles.
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Barbara draws a parallelogram. Jason thought it might be a rhombus. What additional information would have to be true for the parallelogram to also be a rhombus?a. Opposite sides congruent.b. Diagonals are perpendicular.c. Consecutive angles supplementary.d. Opposite angles congruent.
A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
Answers
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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2-3 The loads on a roof beam consist of a dead load of 0.2kips/ft, a roof live load of 0.13kips/ft, and a snow load of 0.14kips/ft. a. If load and resistance factor design is used, determine the factored load (required strength) to be used in the design of this beam. Which AISC load combination controls? b. If allowable strength design is used, determine the required load capacity (required strength) to be used in the design of the column. Which AISC load combination controls?
Answers
The controlling load combination is the one which produces maximum load; which is DL + LL = 0.33 kips/ft. Therefore, this combination controls.
a) Dead Load = 0.2 kips/ft
Live Load = 0.13 kips/ft
Snow Load = 0.14 kips/ft
For load and resistance factor design (LRFD) method, we have load factors and strength reduction factors as follows:
1. Dead Load = 1.2 DLf x φ
= 1.2 x 0.9
= 1.08 φDL2.
Live Load = 1.6 LLf x φ
= 1.6 x 0.9
= 1.44 φLL3.
Snow Load = 1.2 SLf x φ
= 1.2 x 0.9
= 1.08 φSL
Factored Load = (1.08 DLf + 1.44 LLf + 1.08 SLf) x φ
= (1.08 x 0.9 x 0.2 + 1.44 x 0.13 + 1.08 x 0.14) x 0.9
= 0.5062 kips/ft
The controlling load combination is the one which produces maximum factored load; which is:
1.44 DL + 1.6 LL
= 1.44 x 0.2 + 1.6 x 0.13
= 0.4512 kips/ft
Therefore, this combination controls.
b) Allowable strength design (ASD) method:
DL + LL = 0.2 + 0.13
= 0.33 kips/ft
Snow Load = 0.7 x 0.14
= 0.098 kips/ft
From AISC code, the allowable stress for the beam is 0.66Fy.
The required capacity can be calculated as follows:
Required Capacity = Factored Load / Ω Allowable
Capacity = (1.2 DL + 1.6 LL + 1.2 SL) / 0.9
Capacity = 0.33 + 0.098
= 0.428 kips/ft
Capacity / ΩAllowable = 0.428 / 1.67
= 0.256 kips/ft
The controlling load combination is the one which produces maximum load; which is DL + LL = 0.33 kips/ft
Therefore, this combination controls.
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Increase £200 by 12.5%
Answers
Answer:
£225
Step-by-step explanation:
12.5% × £200
>> £25
Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;
£200 + £25 = £225
Answer: £25
Step-by-step explanation: Take £200 and multiply by 12.5% and you get £25. I hope this helped!
Caleb makes $9.50 per hour babysitting. Last month, Caleb made $142.50 babysitting. Let h = the hours Caleb spent babysitting last month.
Answers
Answer: about 15
Step-by-step explanation:
Answer:
15 is the answer
Step-by-step explanation:
how many solutions does 12x + 1 = 12x - 10
Answers
Answer:
No solutions
Step-by-step explanation:
First things first we need to get rid of the variables so we subtract -12x from one side to the other.
Now we have 1= -10
In this case, 1 is not equal to -10 so we get no solutions!
(Side note: if they were the same like 3=3 that would be all solutions.)
Plz help ill give u brainliest!
Answers
Answer:
4320
Step-by-step explanation:
Multiply 18000 by 6 then multiply it by 0.04 and you get 4320
IT IS AAAAAAAAAAAAAA
$18,000x6 then divide by .40
So it should be d!
Tickets to a zoo cost $12 for each adult and $8 for each child. A family has $72 for the zoo trip.
Use `a` for the number of adult tickets.
Use `c` for the number of child tickets.
Elena says that if 2 adults go to the zoo, then 7 children can also go for $72.
Explain or show how you know that this is incorrect.
Answers
The total of $72 is incorrect because the real cost will be $80.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Tickets to a zoo cost $12 for each adult and $8 for each child.
If two adults go to the Zoo then ticket charges = 2 x 12 = $24
and, If 7 children can also go to zoo then ticket charges = 7 x 8 = $56
and, the total ticket cost = $24 + $ 56 = $80
Hence, The total of $72 is incorrect because the real cost will be $80.
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What is the perimeter, in units, of ΔABC
Δ
A
B
C
with A(−1,−6)
A
(
−
1
,
−
6
)
, B(7,−6)
B
(
7
,
−
6
)
, and C(3,−3)
C
(
3
,
−
3
)
?
Answers
Answer:
To find the perimeter of triangle ABC, we need to find the lengths of all three sides of the triangle. To do this, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of ((x2 - x1)^2 + (y2 - y1)^2).
Applying this formula, we can find the lengths of the sides of the triangle as follows:
AB = sqrt((7 - (-1))^2 + (-6 - (-6))^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8
BC = sqrt((3 - 7)^2 + (-3 - (-6))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
AC = sqrt((-1 - 3)^2 + (-6 - (-3))^2) = sqrt(-4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5
Thus, the perimeter of triangle ABC is 8 + 5 + 5 = 18 units.
Find the volume
of the figure below:
Answers
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
given f(x)=21x+10 , find f(7)
Answers
Answer: =157
Step-by-step explanation:
Answer:
The answer is 157.
Step-by-step explanation:
Just put number 7 in formula:
\(f(7) = 21(7) + 10 = 147 + 10 = 157 \)The sum of two numbers is less than 10. If we subtract the second number from the first, the difference is greater than 3
Answers
Answer:
im stuck
Step-by-step explanation:
In 2009, the US had a population of about 300 million people. If there were 14,000 births and 8,000 deaths per million people, what was the country’s net population growth that year?
Answers
the net population growth in the US in 2009 was 1.8 million people.
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
First, we need to convert the number of births and deaths per million people to the actual number of births and deaths in the entire population:
Number of births = 14,000 per million people * 300 million people = 4.2 million
Number of deaths = 8,000 per million people * 300 million people = 2.4 million
Next, we can calculate the net population growth by subtracting the number of deaths from the number of births:
Net population growth = Number of births - Number of deaths
Net population growth = 4.2 million - 2.4 million
Net population growth = 1.8 million
Therefore, the net population growth in the US in 2009 was 1.8 million people.
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Find the slope of the line through each pair of points: (-12, 0) (18, -18)
*
-3/5
5/3
-5/3
3/5
Answers
The slope of the line through each pair of points: (-12, 0) (18, -18) is -3/5
How to identify the slope of the lineThe slope, m of the linear function is calculated using the points (-12, 0) (18, -18) is solved by
m = (y₀ - y₁) / (x₀ - x₁)
m = (0 - (-18)) / (-12 - 18)
m = (18) / (-30)
m = -3/5
The slope of the line is -3/5
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14. A loan is made for \( \$ 4800 \) with an APR of \( 12 \% \) and payments made monthly for 24 months. What is the payment amount? What is the finance charge? (4 points).
Answers
The monthly payment amount for the loan is approximately $219.36.
The finance charge for the loan is approximately $464.64.
To calculate the payment amount and finance charge for the loan, we can use the formula for calculating the monthly payment on an amortizing loan:
Payment = Loan Amount * (Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Number of Payments)))
Monthly Interest Rate = APR / 12
Monthly Interest Rate = 12% / 12
Monthly Interest Rate = 0.01
Next, let's substitute the given values into the formula:
Loan Amount = $4800
Monthly Interest Rate = 0.01
Number of Payments = 24
Payment = $4800 *\((0.01 / (1 - (1 + 0.01)^(-24)))\)
Using a financial calculator or spreadsheet software, we can calculate the payment amount:
Payment ≈ $219.36
Therefore, the monthly payment amount for the loan is approximately $219.36.
To calculate the finance charge, we can subtract the loan amount from the total amount repaid over the course of the loan. The total amount repaid is given by:
Total Amount Repaid = Payment * Number of Payments
Total Amount Repaid = $219.36 * 24
Total Amount Repaid = $5264.64
Finance Charge = Total Amount Repaid - Loan Amount
Finance Charge = $5264.64 - $4800
Finance Charge ≈ $464.64
Therefore, the finance charge for the loan is approximately $464.64.
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Somebody help please I don’t understand
Answers
The constant of proportionality for respective problems is 2/7, 15, 2.75, 13, 4/3.
A) In the first block,
Using points we can find the equation of line ,
Using the formula (y - y₀) = m (x - x₀)
where m is the slope of the equation
The equation of line becomes 2x = 7y
⇒ y = 2/7x
⇒ 2/7 is the constant of proportionality
B) From the graph given,
Again Using the formula (y - y₀) = m (x - x₀)
If we consider two points,
(2,30) and (4,60)
The equation of line becomes
15x = y
Here, the constant of proportionality is 15.
C) It is given the equation is y = 2.75x
The constant of proportionality here is 2.75
D) It is given that,
The price of 5 games is $65.00
The price of 1 game will be 65 / 5
= $13.00
The equation becomes
y = 13x
So, the constant of proportionality becomes 13.
E) Let us consider 2 points (3,12) and (6,24)
The equation of line using the formula (y - y₀) = m (x - x₀) becomes 4x = 3y
⇒ y = 4/3 x
The constant of proportionality becomes 4/3.
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This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
Answers
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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PLEASE HELP GUYS!!!
which of the following is equivalent to the complex number i^38?
Answers
Answer:
The answer is C = -1
What is the range of f(x) = |x| − 5?
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
Answers
The range of the function f(x) = |x| − 5 is −5 ≤ y < ∞.
Given the function is f(x) = |x| − 5
we know the domain is (−∞,∞)
therefore from the domain we calculate the range as:
−5 ≤ y < ∞.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
All real numbers are defined by the function y=|ax+b|. Consequently, the set of all real numbers is the domain of the absolute value function. Every time a number has an absolute value, it has a positive value. The range of an absolute value function with the form y= |ax+b| is hence y R | y 0.
Hence we get the required range if the function.
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Answer:
hello Your answer is down below
Step-by-step explanation:
The Question given "What is the range of f(x) = |x| − 5?"
The answer choices:
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
So what do we know? hmm: The definition of Function range is: "The set of values of the dependent variable for which a function is defined".
So the range of: \(\mathrm{Range\:of\:}\left|x\right|-5\\\) is f(x) ≥ -5.
Which would mean the Interval Notation Oh yeah btw the answer is −5 ≤ y < ∞
is [-5, \(\:\infty\))
So based of that we can infer the answer is gonna have -5 in it.
As a graph it would look like this
SO from the graph we can see the answer is −5 ≤ y < ∞
