We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
Monica rode her bike 24 kilometers in 1.5 hours what was her speed
Answer:
16 km per hour
Step-by-step explanation:
24÷1.5 = 16
Pleaseeeeee help i will mark brainlest
Answer:
e°=100°
Step-by-step explanation:
Sum of angles in a triangle= 180°
70°+30°+x°=180°
100°+x=180
Collect like terms
x°=180-100
x°=80°
e° is an exterior angle
exterior angle =180- interior angle
180°- x°
180°- 80°
=100°
e°=100°
Answer:
(d)100
explanation:
Because the outer angle equals to the measure of the inner angles
hope it helps :)
A cylinder has a volume of 792cm3 and a radius of 6m find its height
Answer:
Step-by-step explanation:
7
Answer:
≈ 7
Step-by-step explanation:
the formula of the volume of a cylinder is:
V = π r^2 * h
792 = 3.14 * 6^2 *h
so first divide by 6^2 (or 36) on both sides so you can start to isolate h
36/36 = 1 and 792/36 = 22
22 = 3.14 *h
now divide by 3.14 to get h by itself
3.14/3.14 = 1 and 22/3.14 ≈ 7
the answer is approximately 7 and precisely 7.002817496
hope this helps!! <3
I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.
Answer:
Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.
Step-by-step explanation:
Answer:
submit whatever you have, guess all of it to get it all done. if you have time you can go back and check
Step-by-step explanation:
In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.
Answer:
52 degrees
Step-by-step explanation:
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56cm squared.
Work out value of x.
Give answer correct to 3 significant figures.
Answer:
The side of the square is 5.971 cm
Step-by-step explanation:
If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of [tex]x[/tex] cm, then it's diagonal have the length of [tex]x\sqrt2[/tex] cm. Using the circle's area we can find the diagonal of the square, as shown below:
[tex]area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222[/tex]
Since the diameter of the circle is the same as the diagonal of the square, then:
[tex]x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971[/tex]
The side of the square is 5.971 cm
Answer:
5.97
Step-by-step explanation:
Write 81 as a power in many ways as you can.
Answer:
9^2, 3^4
Step-by-step explanation:
9 x 9 = 81
3 x 3 = 9 x 3 = 27 x 3 = 81
I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)
Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Step-by-step explanation:
The diameter of a circle is double its radius.
Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.
Next, convert this to meters:
[tex]24 * \frac{0.305}{1} = 7.32[/tex]
The diameter of pool A is 7.32 meters.
The diameter of pool B is 7.5 meters.
The diameter of pool B is greater.
You can calculate the circumference of a circle by using this formula:
[tex]C = 2\pi r[/tex], where r is the radius.
Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:
[tex]C = 7.5\pi \\\\C = 23.561[/tex]
Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.
Do the same thing for pool A:
[tex]C = 7.32\pi \\\\C = 22.996[/tex]
Circumference for pool A rounds to 23 meters.
Answer:
the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest
The question is on a screenshot
Answer:
[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]
Answer:
[tex] \frac{4}{15} [/tex]
2nd answer is correct
step by step explanation
[tex] \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equation has no solution?
Answer:
B. 5 + 2(3+2x) = x + 3(x+1)
Step-by-step explanation:
5 + 2(3+2x) = x + 3(x+1)
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3
4x - 4x = 3 - 11
0 = - 8, which is absurd.
Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.
How do measurements help us describe real-world objects?
Answer:
They help us describe real-world objects by coming in to play in several everyday life situations.
For example, its' easier to tell someone "I want 3 pounds of candy" instead of saying "I want armfuls of candy"
Hope this helps :)
Solve the system of equations
-10x+3y=5
x=y-4
x=
y=
Answer:
So the answer is y=5 and x=1
Which line on the graph below has a slope of zero? On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.
Answer:
line q because it just is
Step-by-step explanation:
The line that has zero slope is horizontal in the coordinate plane. the correct option is (a).
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given options can be analysed one by one as follows,
(a) A horizontal line on a coordinate plane is parallel to x axis.
The angle the line makes with x axis is zero which implies the slope is also zero.
(b)The line in the given case has some positive value of slope.
(c) A vertical line makes right angle with x axis.
Thus, the slope is tan(90°) = ∞,.
(d) The line in the given case has some negative value of slope.
Hence, the horizontal line will have zero slope.
To know more about slope click on,
https://brainly.com/question/3605446
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What is the range of the data below?
2
5
12
13
Answer:
The range Is 11
Step-by-step explanation: Range is the differance between the highest an lowest number, therefor you would use the highest number, 13 minus the lowest number witch is 2, so 13-2 is 11
Answer: 11
The range is the difference between the highest number and the lowest number
13 - 2 = 11 :)
En 16 días se consume 1/8 de la carga de una batería. ¿Cuantos se consumirá en 48 días?
Answer: 3/8
Step-by-step explanation:
1/8 of the charge of a battery is consumed in 16 days. How will be consumed in 48 days?
So, to answer this question we simple have to apply a proportion:
(1/8 )/16 = charge consumed /days
For 48 days= x /48 days
(1/8 )/16 = x/48
Solving for x (charge)
[(1/8 )/16] 48 = x
3/8 =x
Feel free to ask for more if needed or if you did not understand something.
which describes the slope of this line?
I believe the the answer is zero.
Select one or more expressions that together represent all solutions to the equation. Your answer should
be in radians
Assume n is any integer
13 sin(2x) - 3 = 3
Answer:
The answer is A
Step-by-step explanation:
Answer:
0.24+n*pi and 1.33+n*pi
Step-by-step explanation:
First you add three to both sides to get:
13sin(2x)=6
Then you divide by thirteen to both sides to get:
sin(2x)= 6/13
Next, you use a calculator to perform the inverse of sine to both sides, which is arcsin, and cancels out the sin.
arcsin(sin(2x))= arcsin(6/13) -> 2x= arcsin(6/13)
Arcsin(6/13)= approximately 0.48. But besides 0.48, there is another solution, because the y value of 6/13 can have two possible x values, both in quadrant one and two. We found the quadrant one value. The quadrant two value is just pi-0.48=2.66.
So, if we add two pi (360 degrees) to both of these solutions for n amount of times, then on a graph, we would end up on the same point every time. Each of those revolutions around the graph is one solution. These are the solutions:
2x= 0.48+n*2pi -> 0.24+n*pi
2x=2.66+n*2pi -> 1.33+n*pi
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula: C = ((pi x diameter) / 4) + r + r
C = ((pi x 6) / 4) + 3 + 3
C = (6pi / 4) + 6
C = 1.5pi + 6
C = 10.71 millimeters
Hope this helps! :)
Answer:
10.71mm
Step-by-step explanation:
First find the circumference of the circle
C=2πr
then divide by 4
then add the radius 2 times to get the quarter circle perimeter
Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.
Complete Question:
Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.
Answer:
The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]
Step-by-step explanation:
Let the original length of the sides of Aisha's square driveway be = x
She made one side 10 ft short, i.e. (x - 10) ft
She made the other side 15 ft short, i.e. (x - 15) ft
Since the sides are no longer equal, the driveway is now a rectangle
The question states that the smaller rectangular driveway will have an area of no more than 800 square feet
Area of a rectangle = length * Breadth
Area = (x - 10)*(x - 15)
[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]
Area ≤ 800
[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]
Solving the above, x = 40.9 or -15.9
Since the length of a square cannot be negative, x = 40.9 ft
Answer:
(x-10)·(x-15)≤800
Step-by-step explanation:
imagine math
Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?
Answer:
2
Step-by-step explanation:
the sum of four consecutive integers is 34. find the least of the numbers.
a 6
b 7
c 8
d 5
Answer:
7 and 8
Step-by-step explanation:
the no. are 7,8,9,10
Andrés y Ana María celebran hoy su aniversario de bodas con sus tres hijos. Para ello han decidido preparar una torta de nueces cuyos ingredientes son:
Answer:
1 taza de harina
1 taza de harina1 taza de nueces molidas
1 taza de harina1 taza de nueces molidas1 taza de azúcar
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos100 gramos de mantequilla
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?
Answer:
n/2 - 6 + 10
8/2 - 6 + 10
4 - 6 + 10
= 8
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I just took the test, sorry if I didn't come on time.
Solve the quadratic equation. x2+x−6=0
Answer:
The value of x is -3 and 2.
Step-by-step explanation:
First, you have to elaborate the equation :
[tex] {x}^{2} + x - 6 = 0[/tex]
[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]
Next, you can factorize it by taking out the like-terms :
[tex]x(x - 2) + 3(x - 2) = 0[/tex]
[tex](x + 3)(x - 2) = 0[/tex]
Lastly you have to solve it :
[tex]x + 3 = 0[/tex]
[tex]x = - 3[/tex]
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Answer:
[tex]x = 2[/tex] or (look down)
Step-by-step explanation:
[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]
Answer:
[tex]x = -3[/tex]
Two solutions of salt water contain 0.06% and 0.21% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
Answer:
The first solution must have 0.6 l and the second one 0.4 l.
Step-by-step explanation:
The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:
0.0006*x + 0.0021*y = 0.0012
And the sum of volumes must be equal to 1 liter.
x + y = 1
We have the equation system:
x + y = 1 (1)
0.0006*x + 0.0021*y = 0.0012 (2)
Isolating the "x" variable in the first equation and applying it in the second we have:
x = 1 - y
0.0006*(1-y) + 0.0021*y = 0.0012
0.0006 - 0.0006*y + 0.0021*y = 0.0012
0.0015*y = 0.0006
y = 0.0006/0.0015 = 0.4
x = 1 - 0.4 = 0.6
The first solution must have 0.6 l and the second one 0.4 l.
find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)
Answer: D
Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)
Answer:
D. (9, 3)
Step-by-step explanation:
You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:
y - 3 = 3(x - 9)
3 - 3 = 3(9 - 9)
0 = 3(0)
0 = 0
Since the answers match, answer "D," is correct.
Lisa mows her neighbor’s lawns to earn money. She charges $8.75 per hour. She mows 8 lawns per month, and each lawn takes her 3.5 hours to complete.
How much does Lisa earn each month for her lawn mowing services?
$36.75
$38.63
$73.50
$245.00
PLS AWNSER ASAP
Answer:
$245
Step-by-step explanation:
8.75x3.5=30.625
30.625x8=245
Answer:
$245
is your answer
Step-by-step explanation:
The price of a skirt is $25 more than the price of a t-shirt. The total price of 3 skirts and 8 t-shirts is $339. Find the price of the skirt.
In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?
Answer:
tan ∠L = 65/72
Step-by-step explanation:
The tangent ratio is:
tan of angle x = opposite/adjacent
Looking from the perspective of angle L, find the opposite side.
This side is MN, measuring 65 units.
opposite = 65
Now let's find the adjacent side.
This side is LN, measuring 72 units.
adjacent = 72
Therefore, the tangent ratio of angle L is 65/72.
Answer:
65/72
Step-by-step explanation:
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family wants to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inchesnts to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inches
Corrected Question
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
Scale on the old blueprint:
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
Scale on the new blueprint
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.