A jar has 20 marbles: 3 green, 12 blue, 5 red.
What is the probability of randomly choosing a green marble after you have chosen red?
Answer:
0,40789
Step-by-step explanation:
To pick 1 red marble (from 5 red) from all 20 marbles is 5/20 = 0.25
To pick 1 green marble (from 3 green) from 19 because we already took red marble is 3/19 = 0.15789
The probability of randomly choosing a green marble after you have chosen red is 3/68.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
[tex]\rm=\dfrac{5}{20}\times \dfrac{3}{19}\\\\=\dfrac{1}{4}}\times \dfrac{3}{19}\\\\ = \dfrac{3}{68}[/tex]
Hence, the probability of randomly choosing a green marble after you have chosen red is 3/68.
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Solve for x:
(x + 4) (x - 3) = 0
A. x = -4 and x = 3
B. x= -1 and x = 12
C. x= 1 and x = -12
D. X= 4 and x = -3
Answer:
answer is A x = -4 and x = 3
Step-by-step explanation:
-4 , 3
switch the signs
Answer:
The answer is "A."
Step-by-step explanation:
x+4=0. x-3=0
x=0-4. x=0+3
x= -4. x= 3
x = -4 and x = 3
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
the GCF of 30m^4 and 36m^6 is 6m^?
the missing exponent is ____
9514 1404 393
Answer:
4
Step-by-step explanation:
The exponents of m in the two terms are 4 and 6. The exponent of the common factor can be no greater than the smallest of these. (It is the smallest of these.)
GCF(30m^4, 36m^6) = 6m^4 . . . . exponent is 4
if a child weighs 83 pounds how many ouces would she weigh
Answer:
1,328
Step-by-step explanation:
1 pound = 16 ounces
83 pounds X 16 ounces = 1,328 ounces
1 pound is 16 ouces
83 pounds x 16 ounces equals 1328
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
6+8=14÷(-2)=-7-4=-11
Answer:
-11
Step-by-step explanation:
-4 + (6 + 8) / (-2)
-4 + (14) / (-2)
-4 + -7
-4 - 7
-11
Hopefully this helped!
Brainliest please?
chloe and her dog bingo walk 2/3 of a mile in 1/6 of an hour at this rate how far can they walk per hour
Answer:
2 miles
Step-by-step explanation:
In one hour, close and her dog can walk a total of 2 miles
Answer:
4
Step-by-step explanation:
2/3 x 6
2x2=4
4 - (y - 3) = 3(y + 1) - 4(1 - y)
Answer:
The value of y is 1
Step-by-step explanation:
4 - (y - 3) = 3(y + 1) - 4(1 - y)
4 - y + 3 = 3y + 3 - 4 + 4y
7 - y = 7y - 1
7 + 1 = 7y + y
8y = 8
y = 1
Thus, The value of y is 1
-TheUnknownScientist 72
what set operation combining all elements that are in two sets?
Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes
Answer:
As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)
As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,
and 38 dimes x 10 cents per dime, which gives you 380 cents.
So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you
25:76
SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38
If you think about it, it makes sense because:
10 cents is twice as much as 5 cents, and
76 cents is twice as much as 38 cents.
Hope this helps!
Matt in New York
Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.
Explain about the Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value
Since there is no
to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)
To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.
and 38 dimes multiplied by 10 cents each, giving you 380 cents.
By dividing each by 5, you can simplify your new ratio of 125:380 and get
25:76
Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.
It makes sense if you think about it since
Ten cents are twice as expensive as five cents, and
38 cents is double what 76 cents
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the quotient of 2 and a number x,times 3
Answer:
(2/x)3 or 3(2/x
Step-by-step explanation:
The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)
Emma is planting 48 roses and 72 sunflowers. She wants to plant the same number of flowers in each row. But each row should have the same type of flower. What is the greatest number of flowers that can be planted in a row?
Answer:
She can plant 24 flowers in each row.
Step-by-step explanation:
Greatest common factor of 48 and 72 is 24
please help:)
write an equation of the line , in point slope form, that passes through the two given points.
Points:(-2,10),(10,-14)
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
−x2 if x=−4 pls help
Answer:
x=4
Step-by-step explanation:
A) Damien washes cars on his summer vacation to earn money. It took him 16 hours to wash 10 cars. Use scaling to complete the table to determine the number of cars Damien could wash in 40 hours. Number of Hours 16 40 032 부 I 20 20 6 Number of Cars 10 How many cars did Damien wash every hour? lo cars
is it a big number or short number
The required number of cars that can be washed by Damien in 40 hours is 25.
Given that,
Damien washes cars on his summer vacation to earn money. It took him 16 hours to wash 10 cars. Use scaling to complete the table to determine the number of cars Damien could wash in 40 hours, is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number of cars that were washed in 40 hours be x,
Now, according to the question.
16 / 10 = 40 / x
x = 400 / 16
x = 25
Thus, the required number of cars that can be washed by Damien in 40 hours is 25.
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Please i need help :(
Answer:
Distributive property, Inverse Operation, and Division property of Equality
Step-by-step explanation:
Because 8•x is 8x and 8x3 is 24 so then the equation would be 8x-24=-40 then you have to add 24 on both sides to the 8x by itself and also get -16 which you would divide 8 on both sides to get x= -2
The length and breadth of the plot in metres are in the ratio 10:3.The perimeter
of the plot is 312 m.
Answer:
I hope this could be of good assistant
Step-by-step explanation:
L:B = 10:3
make L subject of formula
L = 10B/3
perimeter = 312
2( L + B ) = 312
L + B = 312/2
L + B = 156
10B/3 + B = 156
multiply all through by 3
10B + 3B = 156 X 3
10B + 3B = 468
13B = 468
B = 468/13 = 36
B = 36m
L = 10B/3
L = 10 X 36/3
L = 10 X 12 = 120m
L = 120m
Hence if your were asked to find the area
L X B
120 X 36 = 4320m²
show your solution need an answer, please need an answer, please.
complete answer pls:(
Answer:
1. x = -1
2. y = -1, y = 2
3. y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4. x = -3; x = -6
Step-by-step explanation:
I will only produce work for questions 1 through 4, and you could follow the same steps for questions 5 and 6 so that you could learn and get used to solving quadratic equations. I am practically using the same techniques in solving questions 1 through 4 anyway.
1.) x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = 2² - 4(1)(1) = 4 - 4 = 0
This means that the equation has one real root.
Next, determine the factors of the quadratic equation.
Use the perfect square trinomial factoring technique:
u² + 2uv + v² = (u + v)²
From the equation, x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Find factors with product a × c and sum b:
Possible factors:
product a × c : 1 × 1 = 1
sum b : 1 + 1 = 2
Therefore, the binomial factors of x² + 2x + 1 = 0 is (x + 1)²
To find the roots, set x = 0:
x + 1 = 0
Subtract 1 from both sides to isolate x:
x + 1 - 1 = 0 - 1
x = -1 (This is the root of the equation).
2) y² - y - 2 = 0
where a = 1, b = -1, and c = -2
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (-1)² - 4(1)(-2) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
From the equation, y² - y - 2 = 0
where a = 1, b = -1, and c = -2:
Find factors with product a × c and sum b:
Product a × c :
1 × -2 = -2
-1 × 2 = -2
Sum b:
1+ (-2) = -1
-1 + 2 = 1
Therefore, the possible factors are: 1 and -2:
(y + 1) (y - 2)
To find the roots, set y = 0:
y + 1 = 0
Subtract 1 from both sides:
y + 1 - 1 = 0 - 1
y = -1
y - 2 = 0
Add 2 to both sides:
y -2 + 2 = 0 + 2
y = 2
Therefore, the roots of the quadratic equation, y² - y - 2 = 0 are: y = -1 and y = 2.
3.) y² + y + 1 = 0
where a = 1, b = 1, and c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (1)2 - 4(1)(1) = -3
Since b² - 4ac < 0, then it means that the equation will have two complex roots.
Use the Quadratic Formula:
[tex]y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1^{2} - 4(1)(1)} }{2(1)}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1 - 4} }{2}[/tex]
[tex]y = \frac{-1 +/- \sqrt{-3} }{2}[/tex]
[tex]y = \frac{-1 +/- i\sqrt{3} }{2}[/tex]
Therefore, the roots of the quadratic equation, y² + y + 1 = 0 are:
y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4) x² + 9x + 18 = 0
where a = 1, b = 9, and c = 18.
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (9)2 - 4(1)(18) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
Use the Quadratic Formula:
[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9^{2} - 4(1)(18)} }{2(1)}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9} }{2}[/tex]
[tex]x = \frac{-9 + 3}{2}; x = \frac{-9 - 3}{2}[/tex]
[tex]x = \frac{-6}{2}; x = \frac{-12}{2}[/tex]
x = -3; x = -6
Therefore, the roots of the quadratic equation, x² + 9x + 18 = 0
are: x = -3 and x = -6.
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
Answer:
A 5-pound roast would take about 187.5 minutes to cook.
Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.
a man spends 1/9 of his salary on rent, 1/2 on food and 1/4 on clothes and other items. if he has GHC 195 left at the end of the month, how much does she earn.
Answer:
1404
Step-by-step explanation:
2. Solve using the standard algorithm.
9.8: 5 =
55918
Answer:
1.6
Step-by-step explanation:
sorry if i'm wrong mate
When using substitution to solve this system of equations, what is the result of the first step x=y+1 4=2x+3y
Jim paid $48 to buy a package of 6 flea treatments for his dog. How much does one treatment cost
If Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
Jim paid $48 to buy a package of 6 flea treatments for his dog
We need to find what is the cost a per treatment.
We have to divide split forty eight by six to find the cost of each treatment.
Forty eight divided by six
$48/6
When we divide by six we will get six.
$6
Hence if Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.
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Show how to work the division problem 47 divided by 8 please
Answer:
Step-by-step explanation:
47 divided by 8
= 5.875
hope this helps
If the sum of two integers are negative. Must both integers be negative
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7.
Step-by-step explanation:
Anybody have an answer key to this?
What number could replace ppp below?
\dfrac{20}{p} = \dfrac{2}{10}
p
20
=
10
2
start fraction, 20, divided by, p, end fraction, equals, start fraction, 2, divided by, 10, end fraction
p={}p=
p = 100
Step-by-step explanation:
[tex]\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}[/tex]
HELPPPP PLEASEEEDJDJSJNDN
Answer:
x=14/9
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
9x - 7 = -7
Add 7 on both sides so that 9x can be isolated9x - 7 + 7 = -7 + 7
9x = 0
Divide by 9 on both sides so x can be by itself9/9x = 0/9
x = 0
10 ft
8 ft
D
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [? ] ft2
Please Colin how to do it! I need notes for final
Answer:
32
Step-by-step explanation:
Will mark as brainlist answer quickly
Choose the present perfect tense for the following verb.
make
Marcet_____ her special chocolate cake many times.
has maked
have made
has made
made
Answer:
Marcet has made her special chocolate cake many times.
Please mark as Brainliest, thank you!