Answer:
4/15
Step-by-step explanation:
P(drawing white marble and black marble)
= 6/10 × 4/9 [9 as there is no replacement]
= 4/15
Final answer:
The probability of drawing a white marble first and a black marble second without replacing the first one from a bag of 6 white and 4 black marbles is 12/45, which simplifies to 4/15.
Explanation:
The question is asking to find the probability of drawing a white marble first and then a black marble second from a bag of 6 white marbles and 4 black marbles, without replacing the first marble. To solve this, we calculate the probability of each event separately and then multiply them because the events are independent.
First, the probability of drawing a white marble is calculated by dividing the number of white marbles by the total number of marbles:
P(White first) = 6/10 or 3/5.
Since the first marble is not replaced, there are now only 9 marbles left in the bag, with 5 white and 4 black marbles. Next, the probability of drawing a black marble after drawing a white marble is the number of black marbles over the remaining total number of marbles:
P(Black second | White first) = 4/9.
To find the combined probability of both events happening in sequence, multiply the probabilities:
P(White first and Black second) = P(White first) × P(Black second | White first) = (3/5) × (4/9) = 12/45.
Therefore, the probability of drawing a white marble first followed by a black marble is 12/45, which simplifies to 4/15.
Ben bowled 133 and 206 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answer:
171
Step-by-step explanation:
(133+206+x)/3 = 170
133+206+x = 510
339 + x = 510
x = 171
(133+206+171)/3 =
How would you solve 936=78p?
Answer:
p=12
Step-by-step explanation:
936=78p
divide 78 from both sides.
12=p
Answer:
12
Step-by-step explanation:
you have to get the variable by itself. so you would divide by 78. taking 936/78=12
Find the value of two numbers if their sum is 11 and their difference is 3
Answer:
4+7=11
7-4=3
So the numbers must be 4, and 7.
A bicycle wheel travels 26π in. for each revolution. What is the radius of the wheel?
Answer:
13
Step-by-step explanation:
Circumference=2πr
2πr=26π
2r=26
r=13
Final answer:
The radius of a bicycle wheel that travels 26π inches per revolution is found using the circumference formula. By solving 26π = 2πr, the radius is determined to be 13 inches.
Explanation:
The question asks to determine the radius of a bicycle wheel that travels 26π inches per revolution. To find the radius, we can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius. Since we know the wheel travels 26π inches for each revolution, this distance is the circumference of the wheel.
Setting up the equation 26π = 2πr, we can solve for the radius r by dividing both sides of the equation by 2π:
26π = 2πrr = (26π) / (2π)r = 26 / 2r = 13 inchesThe radius of the bicycle wheel is 13 inches.
PLEASE HELP ME . - Simplify the expression (x5)1/9. a - 5x^9 . b - 9x^5 . c - x^ 5/9 . d - x^9/5
Answer:
Option C) [tex]x^{\frac{5}{9}}[/tex] is correct
Therefore [tex](x^5)^{\frac{1}{9}}=x^{\frac{5}{9}}[/tex]
Step-by-step explanation:
Given expression is
To simplify the given expression :
[tex](x^5)^{\frac{1}{9}}[/tex]
[tex]=(x)^{5\times \frac{1}{9}}[/tex] ( using the property [tex](a^m)^n=a^{mn}[/tex] )
[tex]=x^{\frac{5}{9}}[/tex]
Therefore [tex](x^5)^{\frac{1}{9}}=x^{\frac{5}{9}}[/tex]
Therefore option C) [tex]x^{\frac{5}{9}}[/tex] is correct
Therefore the simplified expression is [tex]x^{\frac{5}{9}}[/tex]
Mark is planning to paint grass in his backyard. His yard is 21 ft. long and 12 ft. wide. How much grass does he need?
Answer:
Since garden is rectangular in shape,
The area of grass needed to be painted =
Length x breadth.
Length = 21 ft
Breadth= 12ft
Area= (21 x 12)ft square
234ft square
Step-by-step explanation:
Three friends ordered 2 pizzas.Each pizza was cut into 8 slices. If each person ate the same amount of slices, how many slices did each person eat?
Final answer:
When 2 pizzas, each cut into 8 slices, are equally shared among 3 friends, each person would eat 5 and 1/3 slices of pizza.
Explanation:
The question involves dividing a certain number of pizza slices equally among friends. Initially, we have 2 pizzas and each pizza is cut into 8 slices, making a total of 16 slices. To find out how many slices each person ate when the amount is the same for everyone, we simply divide the total number of slices by the number of friends.
Total number of slices: 2 pizzas x 8 slices per pizza = 16 slicesNumber of friends: 3Slices per person: 16 slices \/ 3 friends = 5 and 1/3 slices per personSince a pizza slice cannot be split into a third naturally, practically, each friend would eat 5 slices and a little bit more from another slice.
PLEASE HURRY!!!!!
What is the value of x?
Answer:
X =71. The reason is because the interior angles of a triangle add up to 180. 180-38=142. It is an isosceles triangle so the bottom two angles are equal. Divide 142/2 to get 71. ;)
Step-by-step explanation:
MARKING BRAINLIST 3 ¼ - 2 ¾
Answer:
1/2
Step-by-step explanation:
make the mixed numbers improper fractions: 13/4-11/4
13/4-11/4 = 2/4
2/4 = 1/2
Answer:
1/2
Step-by-step explanation:
How to divide 2/4 by 2
Answer:
1/4
Step-by-step explanation:
multiply the whole number to the denominator
so 4(2) = 8
u now have 2/8
simplify the fraction and ur done :)
in decimal form .25
The sum of two numbers is 21,and their difference is 9
Answer:
The numbers are 15 and 6.
Step-by-step explanation:
We can solve the problem algebraically (using equations). First, write equations that represent the situation.
Choose variables to represent the numbers:
let the numbers be "x" and "y"
Take apart each section of the problem and make an equation.
"The sum of two numbers is 21"
x + y = 21 Sum means the answer when you add numbers
"Their difference is 9"
x - y = 9 Difference means the answer when you subtract numbers
Using the two equations, you can solve using elimination. With this method, you get rid of one of the variables, so you can easily solve for the other one. You can use elimination when one of your variables have the same variable number. Both equations have "1x" and "1y" ("1" is never written).
Add the equations together by adding normally, with each of the terms with the same variable.
. x + y = 21 Add each term
+ x - y = 9 (x + x = 2x) (y + (-y) = 0) (21 + 9 = 30)
. 2x + 0 = 30 "y" variable cancelled out
. 2x = 30
. 2x/2 = 30/2 Divide both sides by "2" to isolate "x"
. x = 15 Answer for one number
To find the other number, substitute 'x' for 15 into one of the equations.
x + y = 21
15 + y = 21 Isolate "y" now
15 - 15 + y = 21 - 15 Subtract 15 from both sides
y = 21 - 15 15-15 cancelled out on the left side. Solve right side.
y = 6 Answer for second number
Therefore the two numbers are 15 and 6.
4.
Nat had some stamps. He divided them into sets
of six to put in his album. He made 17 sets. How
many stamps did Nat have?
Answer:
102
Step-by-step explanation:
Nat had a total of 102 stamps which he divided into 17 sets. Each set contained six stamps.
To find out how many stamps Nat had, we need to multiply the number of sets by the number of stamps per set. Nat divided his stamps into sets of six. He made 17 sets. To calculate the total number of stamps, we perform the multiplication:
Multiply the number of stamps in each set (6) by the number of sets (17).
6 stamps/set × 17 sets = 102 stamps
Hence, Nat had 102 stamps in total.
What is the equation of the line that passes through the point (6,-6) and is parallel to the x axis
Answer:
[tex]y=-6[/tex]
Step-by-step explanation:
we know that
A line parallel to the x-axis is a horizontal line
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
In this problem the line passes through the point (6,-6)
so
The y-coordinate is -6
therefore
The equation of the line is
[tex]y=-6[/tex]
H(x) = 2x-6
4x^2 +8
H(-1)=?
Answer:
H(-1) = 2(-1) - 6
4(-1)^2+8
= - 2-6
4(1)+8
= -8
12
=-2
3
The student needs to evaluate H(-1) for a given function. Based on the information, h(x) = 4x + x² seems like the function intended, thus h(-1) equals -3.
Explanation:The student is asking to evaluate the function H(x) at x = -1. From the information given, it seems there is a typo in the function H(x), but we can still proceed with the information from the examples provided.
The correct expression for H(x) based on the examples might be h(x) = 4x + x². When evaluating h(-1), the calculation would be h(-1) = 4(-1) + (-1)².
Using order of operations:
4(-1) = -4(-1)² = 1Now, sum both results: -4 + 1 = -3.
Therefore, the value of H(-1) or h(-1) is -3.
In the figure below, F is between E and G, and G is between F and H. IF EG-10, FG-2, and FH-8, find EH
Using the Segment Addition Postulate, we determined that the length of segment EH is 20 units, given the lengths of segments EG, FG, and FH in the figure.
In the given figure, we have three points E, F, G, and H, with F being between E and G, and G being between F and H. We are given the lengths of line segments EG, FG, and FH, and we need to find the length of segment EH.
To find EH, we can use the Segment Addition Postulate, which states that for three collinear points, if one point is between the other two, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this case, we have:
EG + GF = EF
Given that EG is 10 and GF is 2:
10 + 2 = EF
12 = EF
Now, we know the length of segment EF is 12. Next, we can apply the same principle to segments EF and FH:
EF + FH = EH
Substituting the values:
12 + 8 = EH
20 = EH
So, the length of segment EH is 20 units.
For more such information on: Segment Addition Postulate
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equation
slope (m) =
y-intercept =_4
Answer:
x = m+-4
Step-by-step explanation:
We are trying to figure out the slope and the slope equals m, Then we have the y-intercept which that equals -4
What is 4 raised to the power of 2 ÷ 2 raised to the power of 3
Answer:
4³
Step-by-step explanation:
2 / 2 = 1
4 raised to the power of one is 4
4 raised to the power of 3 is 4³
If you spend 2/5 of your $30 gift card, how much money will be left on it?
Answer:
18
Step-by-step explanation:
30 divided by 5 x what is left over from the whole.
Answer:
3/5 left or 10$
simplify: -2(-5+3x)
Answer: 10-6x
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-6x
Riley has 3 5/9 gallons of fuel left in his car. He uses 7/16 of the fuel to drive to the bank. Then, he uses 2/5 of the remaining fuel to drive to the comic book store. How many gallons of fuel does Riley have left after driving to the bank and the comic book store?
What have you done?
Reynaldo Is making a model of a school building. the actual building is 28 feet tall and 128 feet long. if the model is 16 inches long, how tall should the model be?
3.5 inches
Step-by-step explanation:
128 feet : 16 inches
28 feet : x inches
Then,
128 / 16 = 28 / x
8 = 28 / x
x = 28 / 8
Therefore,
x = 3.5 inches
Answer:
B= 3.5 in.
Step-by-step explanation:
Find the coefficient of the t4
term in the expansion of
(4t– 3)^5
Answer:
-4320t^2
Step-by-step explanation:
Use Pascal's triangle to figure out the variables.
In the 5th expansion, we see that the 4th term is:
10x^2 y^3
Plug in the values,
10*(4)^2 * (-3)^3 = -4230.
However, since the -3 in the original expression does not have a variable next to it, we do not include it in our answer.
Therefore, the 4th term is -4230t^2
Answer:-3840t^4
Step-by-step explanation:cause it is XD good luck yall
DOES ANYONE UNDERSTAND THIS???????????????/
Answer:
(a) 4x=5(x-18)
(b) ∠A=∠B=360°
Step-by-step explanation:
Corresponding angles : when two lines are crossed by a transversal , the angle in matching corners are called corresponding angles.
Since the corresponding are congruent.
Therefore,
∠A=∠B
⇔4x=5(x-18)
⇔4x=5x-90
⇔4x-5x=-90
⇔-x=-90
⇔x=90
Therefore ∠A=∠B= 4×90°=360°
help please
Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true? On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis. Angle G is congruent to angle H is congruent to angle I Angle G double-prime is congruent to angle H double-prime is congruent to angle I double-prime Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime Triangle G H I is congruent to triangle I H G
on observing the conversions we get that
triangle GHI is congruent to triangle G''H''I''
Hope this helps.
Answer:
c?
Step-by-step explanation:
-12 + 8a = -a + 6(2a - 2)
Answer:
41/6
Step-by-step explanation:
-12+81=-1+6(2a-2)
first distribute:
-12+81=-1+12a-12
combine like terms:
-12+81= -1+12a-12
69=-13+12a
add -13 with 69:
82=12a
divide 82 and 12:
82/12= 41/6
Answer:
a = 0
Step-by-step explanation:
given
-12 + 8a =-a + 6(2a -2)
Distribute the righ side
-12 + 8a = -a +6x2a -6x2
-12 + 8a = -a +12a - 12
-12 + 8a = 11a -12
Collect like terms
-12 + 12 = 11a - 8a
0 = 3a
Divide both sides by 3
0/3 = 3a/3
0 = a
a = 0
The group wants to leave a 15% tip and the bill 24.20 how much do they leave
Answer:
27.83
Step-by-step explanation:.15(24.20)=3.63
3.63+24.20+27.83
To calculate a 15% tip on a $24.20 bill, convert 15% to a decimal (0.15), and multiply this by the total bill. The tip should be $3.63.
Explanation:The concept behind leaving a tip is to provide payment that is a certain percentage of the total bill. In your query, you want to leave a 15% tip on a bill of $24.20. To figure out how much the tip would be, you would multiply the total bill by the tip percentage.
First, you need to convert the tip percentage into a decimal form. To do that, you divide the percentage by 100. So 15 divided by 100 is 0.15.
Next, you multiply the total bill by this decimal. In this case, 24.2 (the total bill) multiplied by 0.15 equals 3.63. Thus, the tip they should leave is $3.63.
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A sphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the sphere and a height
of 14 units, what is the volume of the cylinder? Use 3.14 for pie
A). The volume of the sphere is about 1,077.02 cubic units, and the volume of the cylinder is about 718.01 cubic units.
B). The volume of the sphere is about 1,436.03 cubic units, and the volume of the cylinder is about 2.154.04 cubic units.
C). The volume of the sphere is about 1,436.03 cubic units, and the volume of the cylinder is about 957.35 cubic units.
D). The volume of the sphere is about 1,077.02 cubic units, and the volume of the cylinder is about 1,615.53 cubic units.
Answer:
B
Step-by-step explanation:
r = 14/2 = 7units
[tex]Volume of sphere=\frac{4}{3}*\pi*r^{3}\\\\=\frac{4}{3}*3.14*7*7*7\\\\=1436.03cubic units\\\\Volume of cylinder=\pi*r^{2}*h\\\\=3.14*7*7*14\\\\=2154.04 cubic units[/tex]
Answer:
B
Step-by-step explanation:
r = 14/2 = 7units
What happens to the value of the expression w-w as w increases?
Answer:
The value is always 0.
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hope this helped Peppa Pig
What is 160% of what is 32
Answer:
51.2
Step-by-step explanation:
Answer:
51.2
Step-by-step explanation:
160% is the same as saying 1.6 as a decimal. So 160% of 32 would be 32 × 1.6 = 51.2
Timothy had 24 meters of ribbon. He cuts it into 2 pieces. The shorter piece is 6 meters long. What is the length of the longer piece?
Answer:
length of longer piece = 18 m
Step-by-step explanation:
Timothy had 24 meters of ribbon
shorter piece is 6 meters
longer piece = actual piece - shorter piece
= 24 - 6
= 18 m
Final answer:
The longer piece of ribbon is 18 meters long, which is obtained by subtracting the length of the shorter piece from the total length of the ribbon.
Explanation:
Timothy started with a 24-meter long ribbon and cut it into two pieces, with the shorter piece being 6 meters in length. To find the length of the longer piece, we subtract the length of the shorter piece from the total length of the ribbon.
Length of the longer piece = Total length of the ribbon - Length of the shorter piece
Length of the longer piece = 24 meters - 6 meters = 18 meters.
Therefore, the longer piece of ribbon is 18 meters long.