Answer:
25.3% and 17.6%
Step-by-step explanation:
The state of Georgia has several statewide lottery options. One of the simpler ones is a "Pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. With a bet of $1, you win $390 if your number is selected and nothing ($0) otherwise.
(a) With a single $1 bet, what is the probability that you win $390?
(b) Let x denote your winnings for a $1 bet, so x = $0 or x = $390. Construct the probability distribution for X. Use 3 decimal places.
(c) The mean of the distribution equals ___________ X cents for the dollar paid to play.
(d) Would this be considered a gain for you?
No. For every $1 I pay, I will lose $0.39 on average.
No. For every $1 I pay, I will lose $ 0.61 on average.
Yes. For every $1 I pay, I will win $0.39 on average.
(e) If you play "PICK 3" 100 times, how much should you expect to lose?
Answer:
1/ 1000 ;
X : _____ 0 ___________ 390
P(x) : ___ 999/1000 ___ 1/ 1000 ;
0.39 ;
D ;
-$61
Step-by-step explanation:
1.)
Probability of winning with a single bet:
Winning numbers in lottery = 1
Lottery size = 1000
P(winning per bet) = 1/ 1000
2.)
X : _____ 0 ___________ 390
P(x) : ___ 999/1000 ___ 1/ 1000
3.)
Σx*p(x)
(0 * 999/1000) + (390 * 1/1000)
0 + 390 / 1000
= 0.39
4)
Expected winning :
Loss = - 1 * 999/1000 ; win = 390 * 1/1000
- 0.999 + 0.39 = - 0.609 = - $0.61
Hence, on average, for every $1 bet, I lose $0.61 on average
E.)
Expected winning for playing 100 times ;
Loss per play:
Expected winning * 100
-$0.61 * 100 = -$61
Loss of - $61 on average
five sixths yards = inches
Answer:
Five sixths of a yard is 30 inches
Step-by-step explanation:
Evaluate the function rule below when x= -2
F(x)=3x+2
5 x (2+8) + (12-6/3) x2
Answer:x
3
+
64
x
3
−
1
12
t
−
8
Step-by-step explanation:
Answer:
5 x (2+8) + (12-6/3) x2
5×10+(12-2)×2
50+10×2
50+20
70
What could you do to find the amount to each person must pay? Explain.
A house was valued at $292,000 . Over several years, the value increased by 8%, giving the house a new value.
Answer:
315,360 I had to assume you needed that number, 292000+8%=315360
5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
To celebrate the Valentine’s Day, Mary is putting magnets on some of the lockers. There are 110 lockers along one side of her school's hallway. She puts a heart magnet on every 4th locker and a flower magnet on every 9th locker. Is this a GCF or an LCM question?
Answer: GCF
Step-by-step explanation:
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages?
expand and simplify (x-3) (x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(x - 3) (x + 5)}}\\\\\large\text{DISTRIBUTE}\\\\\large\boxed{\mathsf{x(x) + 5(x) - 3(x) - 3(5)}}\\\\\large\boxed{\mathsf{x^2 + 2x - 15}}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x^2+ 2x - 15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Find the height of the triangle if the area is 36 m 2
Answer:
Area=1/2bh
Given area of 36m^2
1/2(x)(x-1)=36
Multiply both sides by 2 to remove deminator
(x)(x-1)=72
X^2-x=72
X^2-x-72=0 then factor
(x-9)(x+8)=0
X=9,-8 however since area must be positive, take the absolute value of 8
1/2(9m*8m)=36m^2
HELP ASAP! Thank you!!
Answer:
Straight line. its 180degrees
Answer:
yes i agree it is most definitely a straight angle
What is 33% of 84? (i got the answer but just want to know if im right cause it sometimes gets difficult for me)
Answer:
the answer should be 27.72
what is 1/10 as a percentage
Answer:
10% or .10
Step-by-step explanation:
A student wrote the following equation for the graph: y = -3/2 - 4. This is incorrect. What is the mistake? What is the correct equation?
Answer:
y=6
Step-by-step explanation:
y= -3/2(-4) : y=4
y=-2 3/4(-4)
y=3/2. 4
y= 3×4/2
y =12/2
12/2 =6
y =6
My question is 11a=88
Answer:
a = 8
Step-by-step explanation:
11a = 88
divide both sides by 11.
a = 8
Which phrase describes the algebraic expression 3 x minus 4?
Answer:
3x - 4 = -12
Step-by-step explanation:
WHEN THE IMPOSTOR IS SUS !!!
Step-by-step explanation:
Selma wants to know if seventh-grade students prefer to do their math homework in silence or with background music. She polled the 21 students in her music class. Seven students preferred to do their math homework in silence, and fourteen students preferred to do their math homework with background music. What type of sampling is demonstrated in the situation above?
A. random sampling
B. census
C. convenience sampling
D. Systematic Sampling
Answer:
D.
Step-by-step explanation:
She used systematic sampling by asking the class to vote by using a type voting system this will help by choosing the highest number as the vote she will go through with.
What is the inverse of the function f(x) = 2x - 10?
(1+2) +3 = 1 + (2 + 3)
What property is that equation
Answer:
associative property, which is the mathematical property that states that you can change the grouping in an addition or multiplication equation and the answer will not be affected.
Estelle has 6 liters of juice. If she pours 0.25 liters into each glass, how many glasses of juice will she make?
Answer:
24 glasses
Step-by-step explanation:
We are given that
Estelle has juice=6 liters
She pours juice in one glass=0.25 L
We have to find the number of glasses of juice made by her.
Using unitary method
0.25 L juice pour in 1 glass
1 L juice pour in 1/0.25 glasses
6 liters juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]
6 liters juice pour in 24 glasses
Hence, she will make 24 glasses of juice.
I need help
Please answer y
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
hello there
Step-by-step explanation:
thank you very much
Can somebody plz help me!!
Answer:
yes yes yes yes yes yes yes
Answer:
121π square centimeters
Step-by-step explanation:
We can find the radius of the circle by taking the average of the two diameters provided. (15+7)/2=11. Then we plug that into the area of a circle equation. Area = π[tex]r^{2}[/tex] and that yields the answer.
. Of the 200 students surveyed in 5th grade, 120 prefer bananas and 80 prefer apples. what is the part to whole ratio?
What is the result when the number 44 is increased by 25%?
Answer:
55
Step-by-step explanation:
25% = 1/4
1/4 of 44 is 11
44+11= 55.
Answer: 44 increased by 25% = 55
Step-by-step explanation:
25% x 44 = 11
44 + 11 = 55
Amy pays $1.71 in postage to mail a CD to a friend. She uses 41-cent stamps and 6-cent stamps. How many of each stamp did Amy use?
Answer:
3 41-cent stamps and 8 6-cent stamps
Step-by-step explanation:
I believe she used 3 41-cent stamps (which is $1.23) with $0.48 leftover which we can use $0.06 to get rid of. We need to use 8 of the $0.06 stamps.
A basket is filled with apples. There are 10 green apples, which is 25% of the total number of apples in the basket. Which equation can be used to determine x, the total number of apples in the basket
Answer:
x = 40 or x = 4(10)
Step-by-step explanation:
If x is the total number of apples in the basket then the equation would be
x = 40 or x = 4(10). (Double check to make sure I'm correct)
The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
what does x = and round to the nearest tenth
Answer:
X=8.6
Step-by-step explanation:
;)
According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that five or more families have life insurance?
Answer:
0.5819 = 58.19% probability that five or more families have life insurance
Step-by-step explanation:
For each family, there are only two possible outcomes. Either they have insurance, or they do not. The probability of a family having insurance is independent of other families. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
77% of husband-wife families with kids under 18 years old have life insurance.
This means that [tex]p = 0.77[/tex]
A random sample of six husband-wife families was selected.
This means that [tex]n = 6[/tex]
What is the probability that five or more families have life insurance?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.77)^{5}.(0.23)^{1} = 0.3735[/tex]
[tex]P(X = 6) = C_{6,6}.(0.77)^{6}.(0.23)^{0} = 0.2084[/tex]
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) = 0.3735 + 0.2084 = 0.5819[/tex]
0.5819 = 58.19% probability that five or more families have life insurance