35% in each package is red.
that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.
it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).
if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.
in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.
the probability to get exactly 18 red out of 52 is
0.35¹⁸ × 0.65³⁴
for one of the combinations.
and we have C(52, 18) possible combinations :
52! / (18! × (52-18)!) = 52! / (18! × 34!)
18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...
17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...
16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...
15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...
14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...
13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...
12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...
11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...
10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...
9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...
8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...
7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..
6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005
5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005
4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006
3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007
2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008
1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009
0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =
= 0.65⁵² = 1.868506209e-010
the probability to have no more than 18 reds is the sum of all that :
0.540472593...
Pls help me anyone
I don’t get this pls
Answer:
1. Y=-2x+3
2. Y=3x+2/3
I'm sorry I can't get them all but I know these are right
Is 8 15 17 a right triangle?
No, the sides of a right triangle do not include 8, 15, and 17. The sides of a right triangle must follow the Pythagorean theorem, so the sum of the squares of the two shorter sides must equal the square of the longest side. 8² + 15² does not equal 1
8² + 15² = 64 + 225 = 289
17² = 289
Therefore, 8, 15, and 17 are not the sides of a right triangle.
The Pythagorean theorem is an important mathematical concept used to determine if three numbers form the sides of a right triangle. This theorem states that the sum of the squares of the two shorter sides must equal the square of the longest side. In the case of 8, 15, and 17, 8² + 15² does not equal 17², so it is not a right triangle. To test this, we can calculate 8² + 15² = 289, and then 17² = 289. Since the two values are not equal, we can conclude that 8, 15, and 17 are not the sides of a right triangle.
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Tell whether (0, -1) is a
is a solution of the inequality whose graph is shown.
Answer:
No, the point isn't in the shaded area
Step-by-step explanation:
Given two points, (3, 2) and (7, 18), determine both the linear and quadratic equations crossing both points. Let f(x) and f(k) be the linear and quadratic equation respectively. Write both in standard form
The linear equation f(x) is 4x - 10 and the quadratic equation f(k) is -5/2k^2 + 4k - 1 for the two given points.
The linear equation can be found using the slope-intercept form (y = mx + b), where m is the slope of the line and b is the y-intercept. To find the slope (m) we can use the two points given:
m = (y2 - y1) / (x2 - x1) = (18 - 2) / (7 - 3) = 16/4 = 4
The y-intercept (b) can be found using one of the points and the slope:
b = y - mx = 2 - 4(3) = -10
So the linear equation in standard form is:
f(x) = 4x - 10
For the quadratic equation, we know that it's in the form of y = ax^2 + bx + c. We have 2 points, so we have 2 equations with 2 unknowns. We can use this information to solve for a, b and c.
Let's (3,2) point 1 and (7,18) point 2.
f(k) = ak^2 + bk + c....(1)
point 1: f(3) = 2 = 9a + 3b + c...(2)
point 2: f(7) = 18 = 49a + 7b + c...(3)
Now we have 2 equations and 3 unknowns.
using theirs first equation and substitute it in the second and third equation
18 = 49a + 7b + c
2 = 9a + 3b + c
c = 2 - 9a - 3b
18 = 49a + 7b + (2 - 9a - 3b)
18 = 49a + 7b + 2 - 9a - 3b
18 = 40a + 4b + 2
16 = 40a + 4b
now this equation is used to solve for a and b
b = (16 - 40a) / 4
so a,b and c are
a = -5/2
b = 4
c = -1
so the quadratic equation in standard form is:
f(k) = -5/2k^2 + 4k - 1
4x - 10 is the linear equation f(x) and -5/2k^2 + 4k - 1 is the quadratic equation f(k) for the two given points.
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1/4 - 7/1 (pls i nee answer)
Answer:3/4 is the answer
Step-by-step explanation:
Answer:(s)
1/4 - 7/1 = - 27/4
Decimal: - 6.75
Mixed number: - 6 3/4
Step-by-step explanation:
1/4 - 7/1 = - 27/4 or - 6.75 or - 6 3/4
LCM: 4, 1 = 4
Adjust Fraction Based On LCM:
1/4 - 28/4
Apply The Fraction Rule:
a/c - b/c = a - b/c
1 - 28/4
Subtract the numbers:
1 - 28 = - 27
= -27/4
Apply Fraction Rule:
- a/b = - a/b
Thus:
1/4 - 7/1 = - 27/4
Decimal: - 6.75
Mixed Number Form - 6 3/4
I hope that helps you!!!
Justin can run 2 laps in 1 minute. Which equation below represents this situation?
a) y = x/2
b) x = 2y
c) y = x + 2
d) y = 2x
what is 2 2/3 x 3 1/4
Answer:
Step-by-step explanation:
Kelsey starts downloading a file. After 4 seconds, her computer says 40% of the file has downloaded."
How many seconds will it take in all to download the file at this rate?
Answer:
6 seconds left, 10 seconds total.
Step-by-step explanation:
40 / 4 = 10
Increases by 10% each second
60% left, so 60 / 10 = 6
Answer:
6 seconds left, 10 seconds total.
Step-by-step explanation:
40 / 4 = 10
Increases by 10% each second
60% left, so 60 / 10 = 6
Step-by-step explanation:
Find the probability that a point chosen at random will lie in the shaded area.
A) 32%
B)62%
C)94%
D)2%
Determine the value of c for each figure
Answer:
can you tell me a little bit more?
36-x=-36 what's the answer to It
Answer:
x = 72
Step-by-step explanation:
36 - x = -36
*subtract 36 from both sides*
-x = -72
*divide by -1*
x = 72
Answer:
0 is the answer of the equation
can someone pls help
please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
0.44
Step-by-step explanation:
Sin∠ D= EC/DC
⇒ Sin D= 39/89⇒ Sin D= 0.44-------------------------------
hope it helps...
have a great day!!
Answer:
sin D = 0.44
Step-by-step explanation:
sin D = opp/hyp
The side opp D must be CE since the side opp D cannot contain D
opp = CE = 39
The hypotenuse must be DC since it's the longest
hyp = DC = 89
sin D = 39/89
sin D = 0.4382022472
To the nearest hundredth
sin D = 0.44
Type the correct answer in each box. The coordinates of the point that corresponds to an angle of radians in the unit circle are (, ).
On solving the provided question, we can say that coordinates of the point in the unit circle S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] ) => S= ( 0 , -1 )
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
S = (0, -1 )
coordinates of the point in the unit circle
S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] )
S= ( 0 , -1 )
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In a market urvey, 100 trader ell fruit. 40 ell apple, 46 orange, 50 mangoe, 14 apple and orange, 15 apple and mangoe and 10 ell all three fruit each of the 100 trader ell at leat one of the three fruit. (A) how many trader ell only one fruit. (B) how many trader ell only two fruit
A)There are 88 trader sell only one fruit.
B) There are 46 trader sell only two fruit.
Since there are three sets, use the formula
n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)
A represents apple traders = 40
O represents orange traders = 46
M represents mangoes traders = 50
A∪O∪M = total traders = 100
A∩O = 14
O∩M = ?
A∩M = 15
A∩O∩M = 10
B) Substitute values into the formula
100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10
100 = 146 - 29 - O∩M
100 = 117 - O∩M
Make O∩M subject of formula
O∩M = 100 -117
O∩M = 17 traders
Now,
n(A∩O) -n(O∩M) - n(A∩M)
= 14 + 17 + 15
= 46
Therefore, the number of traders that sells two fruits are 46.
A) oranges n(O)
= 46-(4+10+ x)
= 32
Again,
mangoes n(M).
= 50-(5+10+x)
= 35
Now,
apple n(A)
= 40-(4+10+5)
= 21
Now, adding all of them we get:
n(o) + n(M) + n(A) = 32 + 35 + 21
= 88
Therefore, 88 trader sells only two fruit
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Complete the square to find the vertex of this parabola
Answer:
[tex](2,-6)[/tex]
Step-by-step explanation:
[tex]x^2-4x+y+10=0[/tex]
[tex]y=x^2+4x-10[/tex]
[tex]y=-(x^2-4x)-10[/tex]
[tex]=-(x^2-4x+4)-10+4[/tex]
[tex]=-(x-2)^2-6[/tex]
[tex]y=-(x-2)^2+(-6)[/tex]
[tex]h=2 ~and~ k=-6[/tex]
So, vertex → (2,-6)
[tex]------------[/tex]
hope it helps..
have a great day!!
find the area of the circle
A line is parallel to y = 4x + 1 and
intersects the point (-2, -5). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Step-by-step explanation:
(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!
Step-by-step explanation:
Given the system of equation, \left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.{
2x−3y=−19
x+6y=28
, solve by elimination.
\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2(x+6y=28)
, multiply the top equation by -2.
We get, \left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2x−12y=−56
+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right. , add the equations together.
We get, -15y=75−15y=75 , we just eliminated the variable, x, we can now solve this equation for y.
-15y=-75 = > y=\frac{-75}{-15}−15y=−75=>y=
−15
−75
, y=\frac{75}{15} = > y=5y=
15
75
=>y=5
We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...
x+6y=28 = > x+6(5)=28 = > x+30=28x+6y=28=>x+6(5)=28=>x+30=28 , subtract the value, 30, from both sides. We get, x=-2x=−2 .
We found the value x, x=-2.
Thus the solution to the given system of equations is (-2,5).
Answer:
Comparing given eqn of line i.e.y=4x + 1 with
y=mx+c,we get,
m=4
We know that parallel lines have same value for m and the line parallel to y=4x+1 passes through the point (-2,-5) i.e (x1,y1)
Now,using point slope formula,we get
y-(-5)=4{x-(-2)}
or,y+5=4(X+2)
or,y+5=4x+8
or,y=4x+8-5
:.y=4x+3 is the req eqn for line parallel to y=4x+1
*mark me brainliest!!!!!!!
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents
the first bus stop. The location of the second bus stop is determined using the same relationships as
those between the coordinates of the bus station and the first bus stop.
City Bus Stops
North
Choose...
12
10-
City Blocks
6
8
4
2
N.
Bus Station
: increases by 2.
2
(7.6)
increases by 4, and the
(11,8)
4 6 8 10 12
City Blocks
Use the drop-down menus to describe the relationships between the coordinates of the first and second
bus stop.
The Choose...
East
Answer: The relationship between the x-coordinates of the first and second bus stop is that the x-coordinate of the second bus stop is 4 units greater than the x-coordinate of the first bus stop.
The relationship between the y-coordinates of the first and second bus stop is that the y-coordinate of the second bus stop is 2 units greater than the y-coordinate of the first bus stop.
Step-by-step explanation:
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given few inequalities and some operations are performed on them
For first inequality:
=> 4 < 7
Multiply both sides by 3, then by 2, then by 4, then by 9
=> 4 *3 * 2 * 4 * 9 < 7 *3 * 2 * 4 * 9
=> 864 < 1512
there is no change in the inequality sign and it is still true.
For the second inequality:
=>11 > -2
Add 3 to both sides, then add 3, then add (-4)
=> 11 +3 + 3 + (-4) > -2 + 3+3 + (-4)
=> 13 > 0
there is no change in the inequality sign and it is still true.
For the third inequality:
=> -2 ≤ -2
Subtract 6 from both sides, then 8, and then 2
=> -2 -6 -8 -2 ≤ -2 -6 -8 -2
=> -18 ≤ -18
there is no change in the inequality sign and it is still true.
For the fourth inequality:
=> -4 < 8
Divide both sides by -4
=> -4 / -4 < 8 / -4
Since, after dividing or multiplying on both sides by a negative sign, inequality changes its sign
=> 1 > -2
Divide both sides by -2
=> -1/2 < 1
there are two times a change in the inequality sign and it is still true.
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Multiply (x-3)(4x+2) using the FOIL method. Select the answer choice showing the FOIL method products
The result of (x-3)(4x+2) using FOIL method is 4x^2 -6x +2x -6.
The FOIL method is a technique used to multiply two binomials. It stands for "First, Outer, Inner, Last" and follows these steps:
First: Multiply the first term of the first binomial by the first term of the second binomial
Outer: Multiply the first term of the first binomial by the second term of the second binomial
Inner: Multiply the second term of the first binomial by the first term of the second binomial
Last: Multiply the second term of the first binomial by the second term of the second binomial
Applying FOIL method to (x-3)(4x+2) we get:
First: 4x * x = 4x^2
Outer: 4x * -3 = -12x
Inner: -3 * 4x = -12x
Last: -3 * 2 = -6
So the result of (x-3)(4x+2) is 4x^2 -12x -12x -6 = 4x^2 -24x -6.
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What is the product of 2x 3y )( 2x 3y )? *?
The product of (2x-3y)(2x+3y) is 4x^2-9y^2
Product= (2x-3y)(2x+3y)
Let the product of (2x-3y)(2x+3y) be P
P=2x(2x+3y)-3y(2x+3y)
P= 2x(2x)+2x(3y)-3y(2x)-3y(3y) {using distributive property of multiplication}
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a-b)(a+b) is equal to a^2 - b^2. This result is used as an identity.
P= 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0
P= 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
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x < 5 and x + 2y ≥ 1
Answer:
-1
Step-by-step explanation:
Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
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PLEASEE HELP ASAP ILL GIVE BRAINLIST
Answer:
1a) 77 + 84v
1b) 70d + 10m
2a) 96 + 40r
2b) 6p + 8
3a) 27a + 24
3b) 11a + 90
Hope that helps! :)
_Aphrodite
Step-by-step explanation:
Answer:
Mathaway/algerba is a good way to figure out these problems
Step-by-step explanation:
i use it all the time haha
NO LINKS HELP During a sale, a store owner offers a discount depending on how much money a customer spends. The function p(x) represents the total amount owed by a customer during the sale when purchasing items totaling a value of x dollars.
How much does a customer owe for items with a total value of $140, in dollars and cents?
9514 1404 393
Answer:
$125
Step-by-step explanation:
For x = 140, the function definition for x ≥ 100 is used.
p(140) = 95 +0.75(140 -100) = 95 +30 = 125
The customer will owe $125 for items with a value of $140.
A. the function has a maximum value of 1
B.the function has a minimum value of 1
C.the function has a maximum value of -2
D.the function has a minimum value of -2
Answer:
A) The function has a maximum value of 1
Step-by-step explanation:
Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞
CAN YOU HELP ME FAST PLEASE
Q 1 ans supplementary
Q2 ans congurent
Q3 ans neithee
What evidence from Gilgamesh a new English version best supports the conclusion that Gilgamesh is an epic hero?
In "Gilgamesh: A New English Version," several pieces of evidence support the conclusion that Gilgamesh is an epic hero.
Gilgamesh is the king of Uruk: He is the main character of the story, and his actions and deeds are the focus of the epic. As a king, he holds a position of power and authority and is responsible for the well-being of his people.
Gilgamesh undertakes a quest: He embarks on a journey to find immortality after the death of his dear friend Enkidu. His quest takes him to the ends of the earth and shows his determination and courage.
Gilgamesh faces challenges and monsters: During his journey, Gilgamesh faces several challenges and monsters, such as the giant Humbaba and the Bull of Heaven. His bravery in overcoming these obstacles demonstrates his heroic qualities.
Gilgamesh has supernatural strength and abilities: He is two-thirds god and one-third man, which means he is gifted with supernatural strength, speed and endurance. He is able to perform deeds that would be impossible for a mortal.
Gilgamesh demonstrates wisdom and self-awareness: Throughout his journey, Gilgamesh comes to understand the limitations of human life and the importance of living a meaningful existence. He demonstrates wisdom and self-awareness which are the hallmark of a true epic hero.
These examples of Gilgamesh's character and actions support the conclusion that he is an epic hero and his story is an epic.
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a small ior shows the data is
Answer:
Don't have enough infromation to answer that.
Step-by-step explanation: