Answer:
it is a 26:4 probability if you simplify it it would be 6.5:1
Step-by-step explanation:
The probability of randomly choosing a green candy, replacing that candy and choosing another green candy is 1/75 and this can be determined by using the given data.
Given :
A bag of Skittles candy contains 8 red, 12 blue, 4 green, and 6 orange.
The following steps can be used in order to determine the probability of randomly choosing a green candy, replacing that candy and choosing another green candy:
Step 1 - First, determine the total number of candies in the bag.
[tex]\rm Total\; Candy = 8 + 12 + 4 +6[/tex]
[tex]\rm Total\; Candy = 30[/tex]
Step 2 - The total number of green candies in the bag is 4.
Step 3 - So, the probability of randomly choosing a green candy, replacing that candy and choosing another green candy is:
[tex]P = \dfrac{4}{30}\times \dfrac{3}{30}[/tex]
Step 4 - Simplify the above expression.
[tex]P = \dfrac{12}{900}[/tex]
[tex]p=\dfrac{1}{75}[/tex]
The probability of randomly choosing a green candy, replacing that candy and choosing another green candy is 1/75.
For more information, refer to the link given below:
https://brainly.com/question/795909
Drag the orange point on the cube to change its side length. Then set the base of the pyramid to the same dimensions as a face on the cube. Also set the height of the pyramid to the same side length as the cube. Note the volumes of the cube and the pyramid. Record the volumes for a few sets of heights and bases, and then calculate the ratio of the volumes. Be sure the dimensions for the cube and the pyramid are the same in each set. (You might see some discrepancies in the tool due to rounding of decimals.) Round your calculations for the ratio to the hundredths place. The first one has been done for you.
Answer:
Sample answer for Edmentum and Plato:
Like and Rate!!!
In circle Y, what is mArc T U?
Answer: 71
Step-by-step explanation:
Answer:
if this is the circle than its B. 67 degrees
Step-by-step explanation:
If FG=HI, then
A FG-HI
В FG = HI
C. FG = H
D. FG = HI
Please select the best answer from the choices provided
Answer:
the answer is D because a and b don't have a period to separate the choice of the answer
Q12 A driver sees this speed limit sign in France. The speed is in kilometres per hour
130
He is driving at 80 miles per hour.
mile
He thinks this is below the speed limit.
1 kilometre =
Is he correct? Explain your answer showing your calculation.
Decision (tick one box) yes
Explanation
no
Answer:
Step-by-step explanation: idk
Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 3%. Find the interest earned in 6 years. Then find the total of principal plus interest.
Answer:
SI = prt / 100
SI = (1000 x 3 x 6)/100
SI = 180
Amount = 1000 + 180 = 1180
can anyone help me get this last part?
Answer:
Step-by-step explanation:
substitute a point value into the equation to find the missing number (the y-intercept)
you could either substitute (0,-4) or (1,2) into the equationn
y = 6x + b
-4 = 6(0) +b
-4 = 0+b
b = -4
or
y = 6x +b
2 = 6(1) + b
2= 6 +b
b= -4
Answer:
-4
Step-by-step explanation:
Y = mx+b is the slope intercept form of the equation
where m is the slope and b is the y intercept
The y intercept is where the line crosses the y axis
It is the value where x is zero
(0,-4) the x value is zero so the y intercept is -4
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
40 more paintings in order to maximize sales making a total of 60 paintings
Step-by-step explanation:
Let x= no.of copies above 20
Total Sales(x) = (number of copies)(price per copy)
Sales (x)= (20 +x)(100 –x)
Open bracket
=1200-20x+100x-x^2
=1200+80x-x^2
Derivative of the sales
80-2x=0
80=2x
Divide both sides by 2
40=x
Because Sales(x)= –2, this is maximal by the second derivative test
The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.
The artist 60 copies should he make to maximize his sales
The artist can sell 20 copies at $100 each.
So, the total sales is:
Total =(20) * (100)
For each additional copy he makes, the value of each painting reduce by a dollar.
So, the total sales becomes
Total = (20 + x) * (100 - x)
Rewrite as:
[tex]y = (20 + x) * (100 - x)[/tex]
Expand
[tex]y = 2000 - 20x + 100x - x^2[/tex]
Evaluate the like terms
[tex]y = 2000 +80x - x^2[/tex]
Differentiate
[tex]y' = 80 - 2x[/tex]
Set to 0
[tex]80 - 2x = 0[/tex]
Collect like terms
[tex]- 2x = -80[/tex]
Divide both sides by -2
[tex]x = 40[/tex]
Recall that the initial copies is 20.
So, the new copies would be:
New = 20 + 40
New = 60
Hence, the artist 60 copies should he make to maximize his sales
Read more about maximum values at:
https://brainly.com/question/10782019
Archie plays a word board game. He places 98
lettered tiles and 2 blank tiles in a bag. Players
will draw tiles from the bag one at a time
without looking.
What is the probability that the first tile drawn
will be a blank tile? Labeled with a letter? A
vowel? A consonant?
Select each type of tile to see its probability.
Answer:
blank: 0.02
lettered: 0.98
vowel: 0.42
consonant: 0.56
Step-by-step explanation:
In the figure attached, the number of tiles of each letter are shown.
number of blank outcomes: 2
number of lettered outcomes: 98
number of vowel outcomes: 9 + 12 + 9 + 8 + 4 = 42
number of consonant outcomes: 98 - 42 = 56
Total number of outcomes: 100
Probability that first tile drawn is a blank tile: 2/100 = 0.02
Probability that first tile drawn is labeled with a letter: 98/100 = 0.98
Probability that first tile drawn is a vowel: 42/100 = 0.42
Probability that first tile drawn is a consonant: 56/100 = 0.56
PLEASE HELP I REALLY NEED IT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Last year, the school library had a total of x books. Over the summer, the library acquired another 37 books and now has a total of 1,950 books. Which equation could be used to find x, the number of books the library had last year?
A.
1,950 + x = 37
B.
x + 37 = 1,950
C.
x - 37 = 1,950
D.
37x = 1,950
Answer: the answer is B
Step-by-step explanation:
find the value of x help plz
Answer:
59
Step-by-step explanation:
Since b and the angle with measure 31 must add up to 90, you can set up the following equation.
b+31=90
b=90-31
b=59 degrees
Hope this helps!
Answer: 59 degrees
Step-by-step explanation:
Since it is a 90-degree angle all you do is subtract 90 from 31 and get 59.
martin scores 40% of the points in a game if this represents 24 points how many points were scored in total
Answer:
60
Step-by-step explanation:
Organic sugar used to be sold at a bulk price of $4 per pound. The price was recently increased by 25%. What is the current price per pound?
Answer:
5
Step-by-step explanation:
25/100*4=1= the increased price
so 4+1=5= the current price per pound
A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Answer:
235
Step-by-step explanation:
Figure the rates per hr.
110/3 = 36 2/3
160/5 = 32.
So, the rates are not the same.
Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.
In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).
We're given two pairs of values:
(3,110) and (5,160).
The next step is to fit a line to them.
y = mx+b is the general equation for a line.
m = the slope = rise/run = change in y / change in x
Call the change in y, dy (for delta y).
Call the change in x, dx (for delta x).
m = dy/dx = 50/2 = 25
The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.
We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.
y = 25x + 35
Checking this formula at x=3, we know it is 110.
Checking it at x=5, we obtain:
y = 25*5 + 35 = 125 + 35 = 160.
That checks.
Now to figure an 8-hr job, set x=8 and use the equation"
y = 25*8 + 35.
y = 200 + 35.
y = 235.
That means an 8-hr job costs $235.
The diameter of a cylinder is 3 yd. The height is 8 yd. Find the volume of the cylinder
Answer:
im not completely sure but i think its 56.55
sorry if its wrong:/
Step-by-step explanation:
What is 52.738 rounded to the nearest whole number
Answer:
It would be 53
Step-by-step explanation:
because the tens place is over 5 so it rounds up
To avoid a storm, a pilot of a vintage biplane flies up 2,500 feet, but stays below 32,000 feet. Write and solve an inequality to find the maximum original altitude of the plane.
a + 2,500 > 32,000; a > 34,500
a + 2,500 < 32,000; a < 29,500
a + 2,500 < 32,000; a < 34,500
a + 2,500 > 32,000; a > 29,500
Answer:
a + 2,500 < 32,000; a < 29,500
Step-by-step explanation:
This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.
As 2,500+ 29,500 = 32,000
The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.
A man is able to run an arc of 150° along a circular track, whose radius is 150 ft. How far did the man run?
Answer:
392.5 ft
Step-by-step explanation:
First, let's find the circumference of the track. This is 2 * 3.14 * 150 = 942 ft. 150° is 5 / 12 of 360° (the full circle) so that means that the minor arc it forms (which is also the arc the man ran) is 5/12 of the circumference. This means that the answer is 5/12 * 942 = 392.5 ft. Hope this helps!
Answer:
Step-by-step explanation:
length of the arc = angle/360 * 2 * pi * r
150/360 * 2 * 22/7 * 150
393 ft
Find THe QUADRATIC equation 100 POINTS PLS HELP: (0,6),(1,6.5),(2,8),(3,10.5),(4,14)
Answer:
y = 1/2x^2 +6
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet is useful for this purpose. It shows you the equation is ...
y = 1/2x^2 +6
_____
Alternate solution
Another way to approach this is to look at first and second differences of the y-values.
Sequence of y-values:
6, 6.5, 8, 10.5, 14
Sequence of first differences:
0.5, 1.5, 2.5, 3.5
Sequence of second differences:
1, 1, 1, 1
The leading coefficient of the quadratic is half the value of the second differences: a = 1/2. The constant in the quadratic is the y-intercept, the value when x=0. The first point gives that as 6.
__
Now, you can check some other point to see what the linear term coefficient might be:
y = 1/2x^2 +bx +6
For x=2, this is ...
8 = 1/2(2^2) +b(2) +6 = 8 +2b . . . . . substitute (x, y) = (2, 8), simplify
0 = 2b ⇒ b = 0
Then the quadratic is ...
y = 1/2x^2 +6
_____
Additional comment
You may not know the relation between second differences and the leading coefficient. The most general way to solve this is to write three equations in the unknown coefficients. Since y has integer values for x=0, 2, 4, you may want to use these. For (x, y) = (0, 6), (2, 8), and (4, 14), you have ...
y = ax² +bx +c
6 = 0a +0b +c8 = a(2²) +b(2) +c14 = a(4²) +b(4) +cAfter finding c=6 in the first equation, you have two equations in 2 unknowns:
2 = 4a +2b ⇒ 2a +b = 18 = 16a +4b ⇒ 4a +b = 2The solution to these is a=1/2, b=0, as above.
1. Simplify the expression: 2(5a−4a)+6a =
2. −2(x−9)=44
Answer:
1. 8a
2. -13
Step-by-step explanation:
1. 2(5a − 4a) + 6a
= 10a - 8a + 6a
= 2a + 6a
= 8a
2. −2(x − 9) = 44
-2x + 18 = 44
-2x = 44 - 18
-2x = 26
x = 26/-2
x = -13
1) open the bracket
10a-8a+6a
2a+6a
8a
2) open the bracket
-2x+18=44. Remember - × - = +
Collect like terms
-2x=44-18
-2x=26
Divide both side by -2
x=-13
Which expression is equal to 20.92 ÷ 6.8?
A
209.2 ÷ 6.8
B
2.092 ÷ 68
C
2092 ÷ 68
D
209.2 ÷ 68
Answer:
D
Step-by-step explanation:
They both equal 3.08
The decimal is moved one to the right on both so the answer will be the same
Answer:
D. 209.2 ÷ 68
I hope this helps!
Which expression is equivalent to the following complex fraction?
X
3 2
-2y+5x
3x-2y
3x-2y
-2y+5x
x?y2
(-2y+5x) (3x-2y)
(-2y+5x) (3x-2y)
x?y?
Answer:
Step-by-step explanation:
Answer:
(-2y+5x) / (3x - 2y)
Step-by-step explanation:
If we write this sentence, we have:
((-2/x) + (5/y)) / ((3/y) - (2/x))
If we do LCM in the denominators of each fraction, we have:
((-2y+5x)/xy) / ((3x - 2y)/xy)
We can cut the 'xy' in the numerator and denominator of the whole fraction:
(-2y+5x) / (3x - 2y)
The final expression we have is (-2y+5x) / (3x - 2y)
Theo drinks 5/8 quart of milk with lunch and 1/4 quart of milk with dinner.
Which answer is the most accurate estimate of how much more milk he drank with lunch than with dinner?
0 quarts
1/2 quart
1 quart
Answer:
is 1 quart
Step-by-step explanation:
Answer:
1/2 quart
Step-by-step explanation:
Isabella wants to put a fence around her pumpkin patch.
How much fencing does Isabella need?
20 feet
100 feet
24 feet
10 feet
rectangular pumpkin patch with length labeled 6 feet and width labeled 4 feet
Answer:
20 feet
Step-by-step explanation:
If a fence is covering something, you have to find the perimiter so you would do 6+4+6+4=20 feet
I somehow forgot how to do anything with fractions.
Answer:
-625
Step-by-step explanation:
-1/5 x 5^5=-625
hope this helped stay safe!
Answer:
625
Step-by-step explanation:
First Step:
Solve [tex]5^{5}[/tex] =3,125
Then:
Multiply 3,125 by [tex]\frac{1}{5}[/tex]
Last:
Solve!
Answer: 625
Hope this helped :)
If a cone has the same radius and height as a cylinder, the volume of the cone is
the volume of the cylinder.
OA) equal to
B) one fourth
C) one half
D) one third
Answer:
The volume of the cone is one third to the volume of the cylinder.
Step-by-step explanation:
It is because the formula of volume of cone is 1/3 to the volume of cylinder .
Volme of cone :
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
Volume of cylinder :
[tex]v = \pi {r}^{2} h[/tex]
The sum of two numbers is 73. When the smaller number is subtracted from twice the greater number, the result is 50. Find the numbers. Please use a let statment and an algebraic solution. Thanks! :)
Answer:
The big number is 41 and the small number is 32.
Step-by-step explanation:
b + s = 73
2b - s = 50 Add these equations together
3b = 123 Divide both sides by 3
b = 41
Now plug this into the first equation to find s
41 + s = 73
-41 - 41
s = 32
Write a function rule based on this table..
There are two 3's in the number 2,033,541.
Jessica says that the 3 on the left is 10 times the value of the 3 on the right.
Raul says the 3 on the right is 1/10 the value of the 3 on the left.
Who is correct? Explain your thinking.
Answer:
they are both right
Step-by-step explanation:
to the left is 10x value of number on the right
Which polygons are similar?
Please help! Not really good with coordinates.
Answer:
i really want to help but i think it might be D
Step-by-step explanation:
Answer:
(1 , 7)
Step-by-step explanation:
(1 , 7) (5 , 7)
(1 , 3) (5 , 3)