Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total
Answer:
10 what
Step-by-step explanation:
Watch help vile
Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....
There are a total of 66 students in the fourth grade at Northp Elementary school. Class A has five more students than Class B. Class C has 2 less students than class B. How- many students are in class A?
Answer:
12
Step-by-step explanation:
66 = A+B+C
A = 5+B
C= B-2
66= 5+B+B+B-2
66=3+3B
63=3B
B=7
A=5+B = 5+7 =12
What is the missing value?
54
30%
100%
?
Answer:
54
Step-by-step explanation:
Pleaseee helpppppp!!!
Answer:
y=3/2
Step-by-step explanation:
factor trinomials x^2-x-6=?
Answer:
(x−2)(x+3)
Step-by-step explanation:
x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)
A die with 8 sides is rolled. What is the probability of rolling a number less than 3
Answer: 6/8
simplify by 2 and you get 3/4 your answer is 3/4
Step-by-step explanation:
I need this please help me
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASEEEEEEEEE HELP NEED ASAPPPPP
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Answer:
x = 1/2 y = -1/3
Step-by-step explanation:
Split it into 2 equations:
10x-9y=8
and
21y+15x=0.5
10x - 9y = 8
Step 1: Divide both sides by 10:
x = (8+9y)/(10)
Substitute x = (8+9y)/(10) into 21y+15x=0.5 :
21y + (3(8+9))/(2) = 0.5
Solve for y
y= -1/3
Substitute y= -1/3 into x = (8+9y)/(10)
x = 1/2
Which expression represents the second partial sum for...
2(0.4) + 2(0.4)
2(0.4)2 + 2(0.4) 3
2 + 2(0.4)
0 + 2(0.4)
Answer:
C. 2+2(0.4)
Step-by-step explanation:
on edg.
Please awnser math ###
Answer:
1. 42
2. 46
3. 0
Step-by-step explanation:
math
Answer:
1. x = 42
2. y = 46
3. z = 0
Step-by-step explanation:
1. 45 + x = 87
subtract 45 from both sides
x = 42
2. y - 31 = 15
add 31 to both sides
y = 46
3. 5z = 0
divide 5 from both sides
z = 0/5
since any fraction with a numerator of 0 is equal to 0, we get
z = 0
Which equation shows how to find the
angle measure of the part of the circle
without the arrow?
You roll a 6-sided die. What is P(even)?
Please help, test due in 2 hours! Will give good review and brainliest. :)
Convert 451 degrees Fahrenheit to Celsius
Answer:
232.778
Step-by-step explanation:
Answer:
232.778 °C
Never forget your symbols.
pick the correct inequality
Answer:
d
Step-by-step explanation:
the answer is d because it's a closed circle
Find the area of the shape below.
PLEASE HELP!
Answer:
A=15 units^2
Step-by-step explanation:
A = 1/2(base one + base two)h
A=1/2(3+7)3
A=1/2(10)3
A=5*3
A=15 units^2
What is the solution to 9 x 9?
Answer:
81
Step-by-step explanation:
dude, it's one of the fast facts
Answer:
81
Step-by-step explanation:
We can round one of the 9's to ten then multiply it
9*10=90
then subtract the 9 that we added
90-9=81
4 1/2 times 2 2/5 times 3 3/4 equals
Answer:
[tex] 40 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]
[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]
[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]
[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]
[tex] = \dfrac{81}{2} [/tex]
[tex] = 40 \frac{1}{2} [/tex]
Answer:
4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5
Hope this helps!
simplify the expression: 3 (x + 4) - 2x
Answer:
x+12
Step-by-step explanation:
PLS HELP ASAP
i don’t understand the question and i cant leave this test to go look at the answer
Answer:
y-8
Step-by-step explanation:
Answer:
y-8
Step-by-step explanation:
1) Use coordinates
C (-1, 3) C' (5, -5) 3-(-5)=8 The triangle is translated down so you write y - 8
2) Count from the line that C is on to C'
I need a word problem for 4 divided into 1/2 will give bwainliest
What is the value of x?
Answer: 15
Step-by-step explanation:
x-6/(x-6)+3 = x/x+5
The x in the equation is 15
Find the area of the shaded region and choose the appropriate result.
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
How many 1/3 cup servings are in 3/4 cup of milk
Please help! 20 points
The results of a study revealed a sample proportion of 0.43 for a sample with 78 respondents. What is the 99% confidence interval for this situation?
A.
37.39% and 48.61%
B.
33.75% and 52.25%
C.
32.01% and 53.99%
D.
28.54% and 57.46%
Answer:
i think it is b I hope it is right
Answer:
D. 28.54% and 57.46%
Step-by-step explanation:
Plato
Given A(3, –7), under which reflection is A (3, 7)?
Answer:
reflection over the x-axis bc y changed
Step-by-step explanation:
it took Juan 24 minutes to complete 3 of his chores. If he spent the same amount of time on each of his chores, how many minutes did it take to complete 1 chore?
Step-by-step explanation:
24 mins = 3 chores
x mins = 1 chore
cross multiplying
3x = 24
x = 8
Exposure to ionizing radiation is known to increase the incidence of cancer. One thousand laboratory rats are exposed to identical doses of ionizing radiation, and the incidence of cancer is recorded during subsequent days. The researchers find that the total number of rats that have developed cancer t months after the initial exposure is modeled by for months. Find the rate of growth of the number of cancer cases at the 7th month.
Missing information :
The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :
N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months
Answer:
30.9 cases per month
Step-by-step explanation:
Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3
N(t) = 1.07t^2.3
Take the first derivative of N with respect to t to obtain the rate of change ;
N'(t) = (1.07)(2.3)t^2.3-1
N'(t) = (1.07)(2.3)t^1.3
The rate of growth of cancer cases at the 7th month can be calculated thus :
t = 7
N'(7) = (1.07)(2.3)t^1.3
N'(7) = 1.07 * 2.3 * 7^1.3
N'(7) = 1.07 * 2.3 * 12.549529
N'(7) = 30.884
The rate of growth of cancer at the 7th month is 30.9 cases per month.
The cost of g gallons of gasoline can be modeled by C(g) = 2.25g
How much would it cost to buy 12 gallons of gasoline?
Answer:
C(g) = 27
Step-by-step explanation:
2.25(12) = 27
You just plug in your g value and solve.
It would cost $27 to buy 12 gallons of gasoline. Substitute the value of g (number of gallons) into the cost function C(g).
In the cost function C(g) = 2.25g, the variable g represents the number of gallons of gasoline we want to buy. We want to find out the cost of buying 12 gallons, so we will replace g with 12 in the equation:
C(12) = 2.25 * 12
Perform the multiplication.
Now, we simply calculate the value of 2.25 * 12:
C(12) = 27
So, the result is 27. It means that it would cost $27 to buy 12 gallons of gasoline using the given cost function C(g) = 2.25g. The cost is calculated by multiplying the number of gallons (12) by the cost per gallon (2.25).
To know more about gasoline:
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