The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.
What is probability ?Probability of something is the occurrence of a certain event out of the total events that can occur.
According to the given question
The total no. of chocolates in the box is
(5 + 5+ 5) = 15 chocolates.
The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.
There are 5 milk chocolates.
So, probability of getting a milk chocolate first is
P(mc) = 5/15
= 1/3
Now the the chocolate can no be replaced because it is eaten
∴ Probability of getting a dark chocolate second is
P(dc) = 5/14 (as the total no. of chocolate is reduced by 1
because it has been eaten)
And the probability of getting a white chocolate in 3rd attempt is
P(wc) = 5/13
As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is
P(mc) ∩ P(dc) ∩ P(wc)
= P(mc) × P(dc) × P(wc)
= (1/3 × 5/14 × 5/13)
= 25/546.
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The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
a.12 √5 cm
b.✓ 10 cm
c.20 cm
Use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 15^2 = 25^2
a^2 + 225 = 625
a^2 = 400
a = 20
Answer: 20 cm
Hope this helps!!
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(2,-8) and (4,-6) does anyone know the slope of that?
Answer:
1/1
Step-by-step explanation:
to find the slope of two ordered pairs you're supposed to use this formula-
Y2-Y1/X2-X1
which is
(-6)-(-8)/4-2
which simplifies to...
2/2
which is just 1/1 or 1.
aljabra.
[tex]x \div 12 - 3x - 1 \div 8 = 1[/tex]
Answer: -27/70
Step-by-step explanation:
x ÷ 12 − 3x − 1 ÷ 8 = 1
Simplify x ÷ 12 − 3x − 1 ÷ 8.
Rewrite the division as a fraction.
x /12 − 3x − 1 ÷ 8 = 1
Rewrite the division as a fraction.
x/12− 3x − 1/8 = 1
To write −3x as a fraction with a common denominator, multiply by 12/ 12
x/12− 3x ⋅ 12/12 − 1/8 = 1
Simplify terms.
Combine −3x and 12/12
x /12−3x ⋅ 12/12 − 1/8 = 1
Combine the numerators over the common denominator.
(x − 3x ⋅ 12/12) − (1/8) = 1
Simplify the numerator.
(x ⋅ −35/12) -(1/1) = 1
Move −35 to the left of x.
−(35 ⋅ x/12) -(1 /8) = 1
Move the negative in front of the fraction.
-(35x/12) −(1/8) = 1
Move all terms not containing x to the right side of the equation.
Add 1/8 to both sides of the equation.
-(35x/12) = 1 + (1/8)
Write 1 as a fraction with a common denominator.
-( 35x /12) = 8/8 + 1 /8
Combine the numerators over the common denominator.
-( 35x /12) = 8+1/8
Add 8 and 1.
-( 35x /12) = 9/8
Multiply both sides of the equation by − 12/35
-( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8
Simplify both sides of the equation.
Simplify -( 12 /35) ⋅ (− 35x /12 )
Cancel the common factor of 12.
−1/35⋅ (−35x) = − 12/35 ⋅ 9/8
Cancel the common factor of 35.
−1 ⋅ (−x) = − 12/35 ⋅ 9/8
Multiply −1 by −1.
1 ⋅ x = − 12/35 ⋅ 9/8
Multiply x by 1.
x = − 12/35 ⋅ 9/8
Simplify − 12 /35 ⋅ 9/8
Cancel the common factor of 4.
x = −3/35 ⋅ 9 /2
Multiply −3/35 and 9/2 .
x= (−3 ⋅ 9)/( 35 ⋅ 2 )
Simplify the expression.
Multiply −3 by 9.
x = -27/(35 ⋅ 2)
Multiply 35 by 2.
x= -27/70
The result can be shown in multiple forms.
Exact Form: x= -27/70
Decimal Form: x = −0.3857142...
The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so
Answer:
(4, 10)
Step-by-step explanation:
Hope this helps
The solution to the system of equations is the ordered pair in option B. (4, 10).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Population growth of two towns over a period of five years is represented by the system of equations :
y = x + 6
y = 2x + 2
Here y represents the population growth and x represents the number of years.
Solution of the system of equations is the point where the graph of both equations intersect.
Intersecting point is (4, 10).
Algebraically, we can solve this as,
We have y = x + 6 and y = 2x + 2.
x + 6 = 2x + 2
x - 2x = 2 - 6
x = 4
y = x + 6 = 4 + 6 = 10
So (x, y) = (4, 10)
Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).
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please help!!!!
it’s due today and it’s worth 30% of my grade!!!!
Answer:
2nd one because that's the proportion a
Which is greater, 0.9 or 95%?
Answer:
depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%
Step-by-step explanation:
Find the measure of angle a
Answer:
angle A = 47°
angle B= 48°
Step-by-step explanation:
4x+ 4x+ 4+3+85=180°
8x+92=180°
8x= 180-92
8x= 88°
x= 11°
angle A = 4(11)+3= 47°
angle B = 4(11)+4= 48°
A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below.
What is the closest distance from the top of the ladder to the base of the wall?
Answer:
we will do this lesson in our class day after tomorrow
Step-by-step explanation:
well I don't know the answer
please help mee dont wanna fail
Answer:
I'm not sure what X is but I am pretty sure the PAW angle is the same as -1x+43. Dont count me on it though...
Step-by-step explanation:
Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1
Answer:
-5x+4
Remainder: x^2+5x-3
Step-by-step explanation:
I hope this is helpful
Can someone Plz help me on this........
Answer:
1) a≥−2.5
2) n<1.2
3) b≥−0.8
4) false,
5) r≤0.1
6) y≤0.8
Step-by-step explanation:
1) Divide both sides by -3.2.
−3.2a/-3.2 ≤ 8/-3.2
2) Flip the equation
- n+0.8<2
Subtract 0.8 from the sides
n+0.8−0.8<2−0.8
3) Add 4.2 to both sides.
b−4.2+4.2≥−5+4.2
4) inequality cannot be solved
5) Simplify both sides of the inequality.
−r+5.1≥5
Subtract 5.1 from both sides.
−r+5.1−5.1≥5−5.1
−r≥−0.1
Divide both sides by -1.
-r/-1 ≥ -0.1/-1
6) Flip the equation.
−1.8y≥−1.44
Divide both sides by -1.8.
−1.8y/−1.8 ≥ −1.44/−1.8
good luck with your work!!
On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.
Answer: 0.44
Step-by-step explanation:
Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}
Answer:
Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!
Step-by-step explanation:
~To find a function look at the x values, if the x values don't repeat then it is a function~
1. Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
2. A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
3. For an art project, Corinne and Amelia want to combine their colored pens and distribute them equally among 12 first graders. If Corinne has 84 colored pens and Amelia has 72 colored pens, how many pens does each first grader get?
4. Lynn paid $12.21 for ribbon. The cost per yard was $1.48. How many yards did she get?
5. Find the quotient of 72.86 ÷ 7.1. Round to the nearest hundredth.
6. Kelly has 17.8 oz of dough. How many circles of dough can she cut that are 3.9 oz each? Round to the nearest hundredth.
7.What is 64 ÷ 4.7? Round to the nearest hundredth.
Answer: For number 1 its 125
Number 2 is 4 items , Number 3 is 13 pens
Step-by-step explanation:
Write an inequality to represent the graph.
y ≥ 2x + 4
y > 2x + 4
y 4x + 2
Answer:
y ≥ 2x + 4
Step-by-step explanation:
Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.
Answer:
Q + O equals œ
Step-by-step explanation:
Find JK if KF= 1 *No A-D options(write the answer)
Answer:
The length of JF = 3
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔHIJ,
Point K is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.
In other words,
JF = KF + JK
Given KF = 1
Also, the longer part JK is 2 times the length of the smaller part KF.
i.e.
JK = 2 KF
JK = 2(1) ∵ KF = 1
JK = 2
Thus, substituting KF = 1 and JK = 2 in JF = KF + JK
JF = KF + JK
JF = 1 + 2
JF = 3
Therefore, the length of JF = 3
What is the length of the altitude of the equilateral triangle below?
Answer:
Step-by-step explanation:
It would be helpful if you could share the diagram of the equilateral triangle.
All 3 sides are equal, as are all 3 angles.
The altitude is perpendicular to the base. The altitude, h, is equal to
h = s*( (√3) / 2, where s is the length of one side of the triangle.
Plssssss help which statement is the clearest translation of 4+6z=12.
Answer:
FOUR PLUS SIX TIMES A NUMBER IS TWELVE
The two triangles shown are congruent by the SAS Theorem Which statements, when combined, describe a sequence
of rigid motions which maps AABC to AEDF?
Answer: It is B, C, E
B- a tra asian between the two figures maps <c to <f
C- Air rotation mapping CB to FD and <B to <D
E- A reflection across CB mapping AC to EF, and <A to <E
Step-by-step explanation:
The rigid motion that verifies the triangles are congruent by SAS is reflection.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
we know that,
The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.
According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.
Hence, The rigid motion that verifies the triangles are congruent by SAS is reflection.
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There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children?
Answer:
alot
Step-by-step explanation:
Answer:
Step-by-step explanation:
The ratio of adults being 5:3 means that you should first divide the audience into 8 sections. You get 18. Now, you can multiply 18 by 5 to find out how many adults there are, since 5 means quantity of adults.
There are 90 adults
Ellas __________ una familia grande.
Your answer:
tiene
tenemos
tienes
tienen
please help
Answer:
Tienen
Step-by-step explanation:
I don't know how to explain it whatsover but Ellos/Ellas/Ustedes end with an en
Which expression is equivalent to 5/2 (2x+1)
Answer: 5x + 5/2
Step-by-step explanation:
the perimeter of a rectangle is 36 feet. the length is 2 less than 3 times the width. what is the length? what is the width?
Answer:
The width is 102
Step-by-step explanation:
Hope this helps! :)
Find each function value 1. f(2) if f(x) = x + 4
Answer:
The function value would be 6
Step-by-step explanation:
If f(2) then....
f(x) = x + 4
f(2) = 2 + 4
f(2) = 6
The Tran family is bringing 15 packages of cheese to a group picnic. Cheese slices cost $ 2.50 per package. Cheese cubes cost $ 1.75 per package. The Tran family spent a total of $ 30 on cheese. How many packages of each type of cheese did the Tran family buy?
Answer:
cubes.
Step-by-step explanation:
17 cbes I think. not 100% tho
How many neutrons does Chlorine-38 have if the isotope has a mass is 38?
Answer:
The answer is either 21 or 22
Step-by-step explanation:
good luck! have a great day! :)
PlZZZZZZZZZ HELP URGENTTTTTTTTTt
Question is in the Screenshot, Brainliest if answered and correct!! Plz.
Answer:
answer is 64
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.