The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]
[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]
Take LCM
[tex]\mathbf{E(x) = \frac{5}6}[/tex]
[tex]\mathbf{E(x) = 0.83}[/tex]
The number of games is 100.
So, the expected gain is:
[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
Hence, the expected total gain is 83 points
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Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.
Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
How many decimals in multiplication.
Answer:
In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.
To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.
Will give brainly if correct
what is the answer??????
Answer:
1) B 1 1/32 2) A 1.8
Step-by-step explanation:
1) 2 3/4÷2 2/3
Turn into improper fractions.
11/4÷8/3
Keep Change Flip
11/4x3/8
Multiply.
33/32
=1 1/32
2) 1 4/5 as a decimal.
Turn into an improper fraction.
9/5
Divide.
=1.8
Hope this helps :)
Please help me with this
Answer:
make me brainliest
Step-by-step explanation:
1: x ≤ 18/5
2: x > 4
3: x ≤ 4
4: x < 12
5: x > 1/4
6: x ≤ 2
7: x ≤ 5
8: x > 10
9: x < 5/2
10:7/3x^2 + 4/3x + 12
11: 2 < x < 15
12:25/2 < x ≤ 45/2
330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.
Answer:
Step-by-step explanation:
330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say
33x10^22
This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:
3.33x10^23
The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33. Go with the one you prefer.
Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of the function.
The initial value is
.
The simplified base is
.
The domain is
.
The range is
.
Answer:
1/2.....9......all real numbers......y > 0
Step-by-step explanation:
got this right on edge 2021. hope this helps
Answer:
The initial value is
✔ 1/2
.
The simplified base is
✔ 9
.
The domain is
✔ all real numbers
.
The range is
✔ y > 0
.
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+
Answer:
d(1) = 8
d(n) = d(n-1) + (-13)
What is the value of the expression x² + y² given x = 10 and y = 2?
A. 104
B. -98
C. 89
D. -89
Answer:
A. 104Step-by-step explanation:
find the length of segment AB
Answer:
E. 214
Step-by-step explanation:
Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal
8x - 37 = 5x + 17
3x = 54
x = 18
Now substitute to check
8(18) - 37 = 5(18) + 17
107 = 107
So if this is true, to find the segment A to B, just add segments A to F and F to B together
107 + 107 = 214
The length of segment AB is 214
75 is 15% of what number
75 is 15% of 500!! If you get it wrong IM SO SORRY!!
Answer: 113.3333 (repeating 3’s)
Step-by-step explanation:
17 = 15%
divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%
11.33 = 10%
multiply 10 and 11.33 by 10 to get 100%
113.33 = 100%
Please someone answer these for me this is confusing this is a major try to find the domain range and end behavior for all of these
Answer:?? I don't understand that sorry, I'm unhelpful
Step-by-step explanation:
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
Quadratic
Step-by-step explanation:
Formula: ax^2+bx+c
5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?
Answer:
Happy Chrismas My friend.
Quick i need your help !
Answer: 30
Step-by-step explanation:
Answer:
30 po brainliest answer po ty
help asap pleaseeeee
Answer:
Its the last one!
Step-by-step explanation:
Remember
closed circle is less than or equal to and greater than or equal to
open circles are the less than and greater than!
and because it is the
less than or equal to because its going up.(left)
Hello can someone pls help me with this
Answer:
simple y=5x
Step-by-step explanation:
This is because y and x are the same because anything times 0 is 0 and when x becomes 1, 1*5=5 and that continues the chain
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answer:
s(c)= 4.4c
Step-by-step explanation:
A graph representing a proportional relationship goes through the origin:
Question 2 options:
Always
Sometimes
Never
When it feels like it
The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).
Recall:
A proportional relationship graph represents a relation between two variables that are directly proportional to each other.In a proportional graph, the constant of proportionality, k, remains the same.The graph attached below shows a proportional graph between time and water used.In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.
Therefore, the graph representing a proportional relationship ALWAYS goes through the origin (0, 0).Learn more about proportional relationship on:
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Un pilón de riego está lleno en sus cuatro séptimas partes y contiene 1 600 m3 de agua. ¿Cuántos metros cúbicos caben en el pilón?
Veremos que el volumen total que cabe en el pilón es 2,800 m^3
Sabemos que el pilón tiene una capacidad máxima V.
Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.
Entonces podemos plantear:
(4/7)*V = 1,600m^3
Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:
V = (7/4)*1,600m^3 = 2,800 m^3
Es decir, el volumen total que cabe en el pilon es 2,800m^3
Sí quieres aprender más, puedes leer:
https://brainly.com/question/19129107
Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m
Answer:
Step-by-step explanation:
A small bowl of candy holds 75% as much as a large bowl of candy.
If the small holds 36 candy bars how much does the large hold?
Answer:
_____
Step-by-step explanation:
Im pretty sure it would be 45 ____
Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.
Engineering
In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etc3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
pls give ans for the following image
Answer:
7 [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
The reciprocal of 8 is [tex]\frac{1}{8}[/tex]
The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex] = 7
sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?
Answer:
2.28%Step-by-step explanation:
Given:
μ = 80σ = 12x = 104Find z-score:
z = (x - μ)/σz = (104 - 80)/12 = 2Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
Percentage of students earned more than $104:
100 - 97.72 = 2.28In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1
solve pls brainliest
Answer:
1.8333
Step-by-step explanation:
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
A similar problem is given at https://brainly.com/question/17248958
m-2/3<-4 OR 3m -8>4
Pls help ⚠️
Answer:
-10 OR 4
Step-by-step explanation:
