Probability is defined as the likelihood or the certainty that an event is going to occur or happen.
The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].
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
In simplest fraction form = [tex]\frac{1}{4}[/tex]
We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19
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 red and then a green marble is
P (Red) x P(Green)
= 1/4 x 3/19
= [tex]3/76[/tex]
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Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution
Need ASAP
Answer:
Yes
Step-by-step explanation:
( x, y ) = ( 3, - 10 )
Here,
x = 3
y = - 10
y = - 4x + 2
- 10 = - 4 ( 3 ) + 2
- 10 = - 12 + 2
- 10 = - 10
LHS = RHS
Therefore,
( 3, - 10 ) a solution to the function y = - 4x + 2.
convert the following into decimal 111.01
Assuming the given number is in base 2, we have
111.01₂ = 2² + 2¹ + 2⁰ + 2⁻²
111.01₂ = 4 + 2 + 1 + 0.25
111.01₂ = 7.25
26 is 38% of what number
Answer:
68.42105263157895
Step-by-step explanation:
Answer:
68.42
Step-by-step explanation:
Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.
Answer:
6 hours will have past if it's then -2°C
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
PLEASE HELP MEEE!!!!!
Answer:
what
Step-by-step explanation:
why would you even need to know this
Please help me I need this done
Answer:
Your image is too lite to see
Tyler ate 7 hot dogs in 4 minutes. At this rate, how long would it take him to eat 23 hot dogs? Write a proportion, then solve. Round to the nearest tenth.
(7 hot dogs)/(4 minutes) = (23 hot dogs)/(x minutes)
7/4 = 23/x
7x = 4*23 .... cross multiplication
7x = 92
x = 92/7
x = 13.142857 approximately
x = 13.1
Answer: 13.1 minutes (approximate)#
Members of Stonebridge Community
Pool pay $120 each year plus $2 per
visit to the pool. Non-members do not
poy an annual fee but pay $5 per visit
to the pool. How many visits to the pool
in a year would it take for a member
and a non-member to pay the same
total amount?
Answer:
It would take 40 times to match the amount of money
Find the exact value of sin
Need help fast please. Need help please.
m is the midpoint of AB has coordinates (5, -4), if A has coordinates (6, 1). What are the coordinates of B?
Answer: (4,9)
Step-by-step explanation: We assume a straight line, so y=mx+b.
We can determine slope, m: Change in x is (6-5)=1. Change in y is (1-(-4)) = 5 Slope is (Change in y)/(Change in x) = 5/1, or 5
y=5x+b
Find b for (6,1)
1 = 5*6 + b
b = -29
y = 5x-29
Since A is (6,1) and m is (5,-4) we can calculate y for x=4 (point B)
y = 5(4)-29
y = -9
B is (4,-9)
The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?
Since the value of y varies directly with x, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
Given the following data:
x = 195y = 15To find the value of x when y = 9:
This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.
First of all, we would determine the constant of proportionality (k) for the mathematical expression.
[tex]y = kx\\\\15 = 195k\\\\k = \frac{195}{15}[/tex]
k = 13
Now, we can find x:
[tex]y = kx\\\\9 = 13x\\\\x = \frac{9}{13}[/tex]
Therefore, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
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Solve for the value of P. Please!!
At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and Km/h? Type an integer or a decimal rounded to the nearest tenths as needed. Thanks!
The average speed of the runner is 12.7 mph and 20.4 km/h
Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have
2hr = 120mins
+ 4 mins = 124 mins
124 mins ÷ 60 hour/mins = 2.06 hours.
This means that the runner finished the race in 2.06 hours.
If we are to find the average speed in mile per hour, we have
Average speed = distance ran ÷ time taken
Average speed = 26.2 ÷ 2.06
Average speed = 12.7 mph
From the speed in mph, we can directly convert it to km/hr by saying
1 mph = 1.609 km/h
12.7 mph = 12.7 * 1.609 = 20.4 km/hr
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What is the Gcf of the number below
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...
2^2 × 3^1 × 5^1 = 60
The GCF of 720 and 2100 is 60.
_____
Additional comment
You can verify this using Euclid's method of finding the GCF.
2100/720 = 2 r 660
720/660 = 1 r 60
660/60 = 11 r 0 . . . . 60 is the GCF
Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.
HELP! Solve
-1
------d =12
3
The 1/3 is a fraction
Step-by-step explanation:
yes 1 / 3..it is a fraction
one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation
Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
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Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value:
f(4)
Work Shown:
f(x) = -x-5
f(4) = -4-5
f(4) = -9
Explanation: Replace every copy of x with 4. Then use PEMDAS to simplify.
A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact center of the bedroom wall.
How many feet are between the right edge of the painting and the right edge of the bedroom wall, x?
O 16 feet
o 9 feet
04 feet
.3 feet
the answer is 9 feet
cuz 12-3=9
1. Find the missing lengths of the sides.
Answer:
3rd option is correct.
Step-by-step explanation:
The diagonal length of a square is [tex]\sqrt{2}[/tex] times the side lengths of the square. Squares have 90 degree angles, so we know that this triangle is half a square, making both side lengths 12.
Use the given figure to find the length of x. x+14 x 8
in science class, Marco recorded numbers. from an experiment as 12.87 12.13 12.5 and 12.08 which numbers are closer to 12 ? which are closer to 13?
Answer:
12.87, 12.5 is closer to 13
12.08, 12.13 is closer to 12
Step-by-step explanation:
Least to Greatest:
12
12.0812.1312.5 12.8713
Needing help with geometry
Answer:
Bro can you send your question
Answer:
whate your questions bro
Hi anyone help me with this it’s for my daughter and i am not good with mathematics
Answer: Ma'am It says that 39-14=25 is the example problem
Helloooo could someone plz help me on this ?
Answer:
15 cubic units
Step-by-step explanation:
If you add up the blocks you get 15
Halla el 72% de 40 por favor ayúdenme a verificar si lo hice correcto
A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (V) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
50 POINTS NEED HELP ASAP PLS AND THANK YOU
It is observed that point (18, 206) does not lie on the line. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = 12x
Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.
The equation is drawn below.
From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.
More about the linear equation link is given below.
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HELP
Linear function t has an x-intercept of −1 and a y-intercept of 5. Which graph best represents t?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
The graph D has a x-intercept = −1 and y-intercept = 5
How to determine the graph?The given parameters are:
x-intercept = −1
y-intercept = 5
The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5
From the list of options, the graph that satisfies the above highlights is graph D
Hence, the graph D has a x-intercept = −1 and y-intercept = 5
Read more about linear graphs at:
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When x = 2, 10+ 3(12= (3x)) = ?
A. 12
B. 16
C. 26
D.34
E. 104
Answer: E
Step-by-step explanation:
