Probability helps us to know the chances of an event occurring. The number of black, blue, green and red marbles in the bag are 4, 3, 2, and 1 respectively.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given Joanne has 10 marbles in a bag. Also, she does an experiment whose results are as follows:
She chooses a black marble 24 times.She chooses a blue marble 18 times.She chooses a green marble 12 times.She chooses a red marble 6 times.The number of black marbles in the bag is equal to the product of Probability of getting a black marble and the number of marbles. Therefore,
The number of black marbles = (24/60)×10 = 4
The number of blue marbles in the bag is equal to the product of Probability of getting a blue marble and the number of marbles. Therefore,
The number of blue marbles = (18/60)×10 = 3
The number of green marbles in the bag is equal to the product of Probability of getting a green marble and the number of marbles. Therefore,
The number of green marbles = (12/60)×10 = 2
The number of red marbles in the bag is equal to the product of Probability of getting a red marble and the number of marbles. Therefore,
The number of black marbles = (6/60)×10 = 1
Hence, the number of black, blue, green and red marbles in the bag are 4, 3, 2, and 1 respectively.
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beth is 2 years older than jimmy, and in 3 years the sum of their ages will be twice as much as the sum of their ages 3 yrs ago. fing their present ages
Answer: 10
Step-by-step explanation:
NO LINKS. Find the segment length indicated. Assume that lines which appear to be tangent are tangent. PLEASE SHOW WORK!!
Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? = [tex]\sqrt{84.64}[/tex] = 9.2
Answer:
Solution given:
BC=BD=6.9 units
AD=4.6units
Now
AB=4.6+6.9=11.5units.
we have
<C=90°[the line from the tangent is perpendicular to the radius of circle]
we know that ∆ABC is a right angled triangle.
hypotenuse [h]=AB=11.5units
base[b]=BC=6.9 units
perpendicular [p]=x units
By using Pythagoras law
h²=p² +b²
11.5²=x²+6.9²
x²=11.5²-6.9²
x²=84.64
x=[tex] \sqrt{86.64} [/tex]=9.2
Sothe segment length indicated is 9.2 units.
Find the probability that a randomly chosen point in the figure lies in the shaded region. Round your
answer to the nearest hundredth
Please help !
Answer:
0.31
Step-by-step explanation:
the area of shaded region =
(2×½×8×10) = 80
the total area of fig. =
½×(34+18)×10 = 260
the probability = 80/260 = 0.31
Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
what is 36% of a number,n, if 80% of that number is 200
Answer:
90
Step-by-step explanation:
80% of n = 200
Change to decimal form
.80n = 200
Divide each side by .80
.80n/.80 = 200/.80
n =250
Now find 36% of that number
36% of 250
.36*250
90
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
Given cos 0 = 4V2/7, find sin 0.
sin 0 =
V[?]/?
[tex]sin = \frac{ \sqrt{17} }{7} [/tex]
What is the zero of r(x)
=
8/3X-16
Answer:
x = 6
Step-by-step explanation:
(8/3)x - 16 = 0
Add 16 to both sides
(8/3)x = 16
Multiply both sides by 3/8
x = 16(3/8)
x = 6
For what value of x is quadrilateral CDEF a parallelogram?
Answer:
x = 2.
Step-by-step explanation:
If its a parallelogram then the diagonal will be bisected so:
4x + 7 = 10x - 5
7 + 5 = 10x - 4x
12 = 6x
x = 2.
How comfortable are you working with sequences?
A. I can find a rule for a sequence and then extend it. I can tell if a sequence is arithmetic, geometric, both, or neither. This comes easily to me.
B. I can find a rule for a sequence and then extend it. I need to use trial and error.
C. I can find and extend simple sequences, but I have trouble with those that are more complex.
D. I am not able to find or extend sequences.
Answer:
I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
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By what percent will a fraction increase if its numerator is INCREASED by 60% and its denominator is decreased by 20%?
Please Help will give Brainliest!!!!!!
Answer:
100%
Step-by-step explanation:
let , a/b is a fraction
=> a+60% = 1.6 a
and b-20% = 0.8b
so, the new fraction is
(1.6a) /(0.8b) = 2(a/b)
from a/b to 2(a/b) => increase 100%
The cost of 6 pens is $3.60. What would 2 dozen cost?
$14.40. And then you have the tax. :D
Have A Great Day.
The cost of 2 dozen pens will be "$14.4".
Given:
Cost of 6 pens,
$3.60As we know,
1 dozen = 12then,
12 dozen = [tex]12\times 2[/tex]= [tex]24[/tex]
Now,
→ The cost of 1 pen will be:
= [tex]\frac{3.60}{6}[/tex]
= [tex]0.6[/tex] ($)
hence,
→ The cost of 24 pens (2 dozen) will be:
= [tex]0.6\times 24[/tex]
= [tex]14.4[/tex] ($)
Thus the above solution is right.
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Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
what is the probability that a randomly selected upper level statistics class has at least 10 students g
Answer:
0.55
Step-by-step explanation:
Given
See attachment for table
Required
[tex]P(x \ge 10)[/tex]
To do this, we consider rows where x is either 10 or greater than 10
i.e. 10, 11 and 12
So:
[tex]P(x \ge 10) = P(10) + P(11) + P(12)[/tex]
Using values from the table, we have:
[tex]P(x \ge 10) = 0.20 + 0.25 + 0.10[/tex]
[tex]P(x \ge 10) = 0.55[/tex]
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
I need to find the area of the triangle TYY
Answer:
20cm Squared
Step-by-step explanation:
Area of a Triangle = Base X Hight divided by 2
= 5 X 8 Divided by 2
= 40 Divided by 2
= 20cm Squared
find x and y. give answer in insimplified radical form, not decimal.
Finding x,
We will use Pythagoras theorem to determine the value of x:
[tex]9^{2} = {8}^{2} + {x}^{2} \\ 81 = 64 + {x}^{2} \\ 81 - 64 = {x}^{2} \\ {x}^{2} = 17 \\ x = \sqrt{17} [/tex]
Finding y,
We have to determine the angle, at the bottom left of the bigger triangle.
Using sine rule,
[tex] \frac{9}{sin(90)} = \frac{8}{sin(z)} \\ sin(z) = 0.8889 \\ z = {sin}^{ - 1} (0.8889) \\ z = 62.73[/tex]
To find the angle on the smaller triangle,
[tex]a = 90 - 62.73 \\ a = 27.27[/tex]
Finding the missing length of y,
[tex] \frac{ \sqrt{17} }{sin(62.73)} = \frac{m}{sin(27.27)} \\ m = 2[/tex]
So y = 2 + 8, y = 10
Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Simplify: (9wº + 4w - 4)+(2w° +6w +9) A 1 1w3 - 2w -13 B 11wº+ 10w +5
Answer:
I believe it’s option c!
Step-by-step explanation:
Correct me if I’m wrong!
What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Step-by-step explanation:
The answer is B; 90°
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.
Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.
here, we have,
Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
Keira rented a car for 3 days. She paid $118 rent
each day. Insurance for the 3 days came to a total of $35. How
much did Keira pay in all? Explain how you found your answer
Answer:
389
Step-by-step explanation:
3*118 + 35
HELP PLS HELP PLS HELP PLS HELP PLS
Answer:
Step-by-step explanation:
Surface area of a cube of side-length 0.5m
= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.
deja bought a bag of mixed nuts the bag has 1/3 pounds of nuts she and her three friends split the nuts equal how much did each person get ?
Answer:
Each friend gets 1/12
Step-by-step explanation:
1/3 pounds of nuts in total
4 people
1/3 / 4
1/3 * 1/4 = 1/12
plzzzzzzz help for a brainly
Answer:
im pretty sure A.
Step-by-step explanation:
Ugh I hate problems like these
sorry if its not correct
Answer:
D
Step-by-step explanation:
-12 because 12-12=0 so if you want to get the numbers to equal to 0, you need to add -12
A doctor has 53 ccs of a 40% solution of a pain killer. How much sterilized water should be added to get a 27% solution?
Answer:
35.775
Step-by-step explanation:
So, 53 is the amount of ccs that makes a 40% solution.
How can we find the ccs of 27% solution?
Well, we should first find teh amount of ccs per 1%.
To do this, divide 53 by 40:
53/40
=
1.325
Now multiply this by 27 to get the amount of ccs for 27%:
27*1.325
=
35.775
Hope this helps! :)