Answer: Probability that Charles gets 7 or more correctly = 0.776
Probability that Ruth wins = 0.827
Step-by-step explanation:
Given data:
Probability that Charles distinguishes between beer and ale = 0.75
no of glasses = 10
no required to win the bet = 7 or more.
Solution:
a) probability of success p=0.75.
This is a binomial probability problem, what we need to solve for is the probability that ( X >=7 ) this can be gotten as
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
where k=7,8,9,10
Probability that he gets 7 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute k = 7 into the equation
= 0.250
Probability that he gets 8 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
substitute k = 8 into the equation
= 0.282
Probability that he gets 9 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute k = 9 into the equation
= 0.188
Probability that he gets 10 correctly.
P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)
Substitute the k= 10 into the equation.
= 0.0563
Probability that Charles gets 7 or more correctly
= 0.250 + 0.282 + 0.0563 + 0.188
= 0.776
b) Probability that Ruth wins
K = 1,2,3,4,5,6
p=0.5
P(X < 7)
P(X < 7) = (10Ck) (.5)^k (1-.5)^(10-k)
Probability that he gets one correctly
P(X = 1 ) = (10Ck) (.5)^k (1-.5)^(10-k)
substitute k= 1 into the equation.
= 0.0098
P(X=2) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k= 2 into the equation
= 0.0439
P(X =3) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k=3 into the equation.
=0.117
P(X=4) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k= 4 into the equation
= 0.2051
P(X=5) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k =5 into the equation
= 0.246
P(X= 6 ) = (10Ck) (.5)^k (1-.5)^(10-k)
Substitute k = 6 into the equation
= 0.205
Probability that Ruth wins
= 0.205 + 0.246 + 0.2051 + 0.117 + 0.0439 + 0.0098
= 0.827
YASSSSSSSSSSS
HELPPPPPPP A SISTA OUT
LoL
Answer:
8 are from South Africa
Step-by-step explanation:
1/4 + 5/8
2/8 + 5/8
1-7/8= 1/8
1/8 of 64 is equal to 8
Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm
Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
please help with math
b. Convert years to days.
4 years =
.xl
year)
days)
Il
days
Answer:
1460 Days
Step-by-step explanation:
365*4
Answer:
1460 days.
Step-by-step explanation:
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
(a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a divided by b)
this is because for example, 1/2
100(1 divided by 2)
100(0.5)
50
50%
Answer:
c
Step-by-step explanation:
what would the value (s) for n will make the expression true |n| = 3.5
Answer:
3.5
Step-by-step explanation:
3.5
because it is
okay
5,10,20,40,80 determine if the pattern illustrates geometric sequence or not..
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
.
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
5+7t
Step-by-step explanation:
3t and 4t add together bc they are like terms
Answer:
9+2t
Step-by-step explanation:
5+4=9
3t-t=2t
f(x) = x^2 + 2x – 4
f(3) = ?
Answer:
11
Step-by-step explanation:
f(3)=(3)^2+2(3)-4
f(3)=9+2(3)-4
f(3)=9+6-4
f(3)=15-4
f(3)=11
binomio al cubo
(x+2)3
Answer:
3x+6
Step-by-step explanation:
(x+2)3
3(x)+3(2)
3x+6
Need help with 2 and 5 pleaseeee!!
Answer:
Question 2: √x
Question 5: B and D
Step-by-step explanation:
If you move a factor from the denominator to the numberator (or vice versa) its exponent must flip sign.
I.e., [tex]\frac{1}{x^{-1}}[/tex] will become [tex]\frac{x^1}{1}}[/tex] which is x
Multiplying the same number x you must add the exponents. (1/3)+(1/3)+(1/3) is 1, so D is also x¹.
Therefore B and D are equivalent.
The school carnival has a booth of where people can win prizes by guessing the correct number of items in different sized jars just by looking at them. Jessica really wants the cylinder shaped jar full of sour jawbreakers. What would get her closest to the correct number of jawbreakers without being disqualified from the contest?
Answer:
D
Step-by-step explanation:
Ashley and her four friends went trick-or-treating. Each one of them got 4/5 of a bag of treats. How many bags of treats did they have in total?
Answer:
4 bags
Step-by-step explanation:
Since there were five in total, and each got 4/5 evenly, it's just basic adding while subtracting the amount from the other bags.
So to get 5/5, which is a full bag, you take portions out of the others to create a full one. Write out 4/5, five times, and then subtract the needed portions from a separate bag to combine a full one.
find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
= 1,500 (1 + 0.07/4)^4*5
= 1,500 (1 + 0.0175)^20
= 1,500 (1.0175)^20
= 1,500 (1.4148)
= 2,122.20
A = $2,122.20
A chicken farmer started his summer with 6
chickens. By fall, he counted 36 chickens,
and by
winter he counted 216 chickens Which expression
represents the number of chickens he had by
winter?
Need help asap!
Answer: It is multiplying by 6 each time
A science teacher has 4 2/3 packages of bird seed. Each package weighs 2 1/4 pounds. How many pounds of bird seed does the teacher have in all?
Answer:
9 3/2 pounds or 10.5 pounds
Step-by-step explanation:
4 2/3 x 2 1/4 = 14/3 x 9/4 = 126/12 = 21/12 = 9 3/2 or 10.5
Answer:
10.5 pounds
Step-by-step explanation:
4 2/3 × 2 1/4 = 10.5 or 10 1/2
Find the product:
1.7
x 0.5
Answer:
0.85
Step-by-step explanation:
What is the domain and range?
Answer:
Domain is your x max and Min, Range is your y max and Min
Step-by-step explanation:
Domain would be -5 to 8 or (-5,8)
range would be -3 to 2 or (-3,2)
Answer:
Domain is every value on the x axis that the line in on. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 is the domain or -5 to 8. The range is every Y value.
Step-by-step explanation:
Basically, Domain is the x values of the whole line and range are the y values for the whole line. Hope I helped <3
452356273567187+646735264273852927×648463768÷636478476804387098-3×768370678679868687675785+34579256289574678556+87673976-7568975268565786578467858485647694587897436754675686587897558785578576×830463809745
Answer:
-6.28576e+81
Step-by-step explanation:
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 17
2. 12.7
3. 11
4. 12.2
Answer:
12.7
Step-by-step explanation:
[tex] \sin \: 42 \degree = \frac{x}{19} \\ \\ 0.6691306064 = \frac{x}{19} \\ \\ 0.6691306064 \times 19 = x \\ \\ x = 12.7134815 \\ \\ x \approx 12.7[/tex]
in a box of sweets 7/10 of the sweets are red the rest are purple. what is the ratio of red sweets?
Answer:7:3
Step-by-step explanation:
3/10 divided by -3/7
Answer:
- 7/10
Step-by-step explanation:
There you go hope alls well.
An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?
Which expression uses commutative property to make it easier to evaluate
2/3 * 1/4 * 27
Answer:
2/3 x 27 x 1/4
Step-by-step explanation:
A-P-E-X
Divide. Write the quotient in lowest terms.
2 1/2 divided by 2 2/3
Answer: 15/16
Step-by-step explanation:
2 1/2 --> 5/2
2 2/3 --> 8/3
5/2 / 8/3
15/6 / 16/6
15. 16
6 6
6*15 ÷ 16*6
90 / 96
Need help with this one will mark brainliest
Answer:
(1,-1)
Step-by-step explanation:
pls don't forget to mark brainliest, thanks! message me for any more questions :)
can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are boys and 75% of them are girls. The probability that boys passed in Statistics is 0.4 and the probability that girls passed in Statistics is 0.25. One student is selected at random. What is the probability that the selected student is passed in statistics?
Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
NEED HELP NOW DIS IS DUE TODAY, answer plws :) LOOK AT DE PHOTO
Find the area of the composite figure.
A) 96.75 units2
B) 112.5 units2
C) 139.5 units2
D) 192 units2
Answer:
a.
Step-by-step explanation:
The area for this is
A= 7x9/2+3x9+9x6
= 31.5+27+54
= 112.5
Please help me.......
2542 t that answer sorrry i cant gsrgb hgttyprev
Find the median and mean of the data set below: 39, 22, 14, 9, 1, 11
Answer:
mean is 16
Step-by-step explanation: