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
Plz answer the question attached
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]
given that a||b and m<6 is 1/8 of m<4, find m<4 and m<6
Answer:
Supplementary Angles: if both angles are added = 180 °
Complementary Angles: if both angles are added = 90°
Step-by-step explanation:
Answer:
m<6 = 20*, m<4 = 160*
Step-by-step explanation:
2.m<6+m<4=180*
3. m<6+m<4=180*
4. m<6+8 x m<20
5.m<6 = 20*, m<4 = 160*
HELP TIMED BRAINLIST QUICK
Solve for n in the following equation. A=P(1+n) show all work
Answer:
n = A/P - 1
Step-by-step explanation:
1st step: subtract P from each side to get A/P = 1+n
2nd step: subtract 1 from each side to get the answer above
Is - .6251327657 a rational number?
Answer:
No
Step-by-step explanation:
I dont think rational numbers can be negative. Also the values are not repeating.
How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?
This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".
Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.
Given m ||n, find the value of x
167°
Answer:
13
Step-by-step explanation:
180-167= 13
× = 13 degrees
pls respond ill mark brainliest!!!!!!!
Answer:
when your at a red light and it turns green
Answer:
ok
Step-by-step explanation:
Drag the missing word into place
My parents put
panels on our roof to harvest the
sun's energy
solar
geothermal
chemical
Answer:
Solar
Step-by-step explanation:
It would be Solar because the energy from the sun is called solar energy. Also, solar panels pick up the sun's energy, and harvests it.
what is the domain of the function represented by the graph?
Answer:
option A is the answer
Step-by-step explanation:
............
What is the value of the expression expression 9 – m. If m = –3, n = 8, and p = –1?
Answer:
Step-by-step explanation:
i do believe you didn't write the whole problem
if m=-3
9-m=9-(-3)=9+3=12
what is 2 and 1 3rd times 5
Answer:
2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5x2=10
[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]
10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]
A line is perpendicular to
y = -x-9
What is the slope of this
perpendicular line?
A. -1/4
B. 1/4
a-4
D. 4
Note: your answer options suggest as if your actual question was
y = -4x - 9 instead of y = -x-9
But, anyways I am solving with respect to both equations
Answer:
Please check the explanation.
Step-by-step explanation:
IN CASE YOUR EQUATION ⇒ y = -x - 9
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
[tex]y = -x-9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -1We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Thus the slope of this perpendicular line will be: 1
IN CASE YOUR EQUATION ⇒ y = -4x - 9
Given the line
[tex]y = -4x - 9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -4We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -4
perpendicular slope = – 1/4 = -1/-4 = 4
Thus the slope of this perpendicular line will be: 4
Help me please .....
Answer:
the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Step-by-step explanation:
We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
[tex]g(x)=-\sqrt{x}[/tex]
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]
So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Mike reads 10 pages of a novel on night 1.
Each night after that, he reads three pages
more than the night before. At this rate,
Mike thinks he can finish reading his 219
page novel in 10 days. His brother says it
will take 22 days. Who is right? Explain.
Answer:
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
Step-by-step explanation:
Total number of pages of the novel = 219.
1st night, he reads 10 pages.
2nd night, he reads 13 pages.
3rd night, he reads 16 pages.
4th night he reads 19 pages.
5th night, he reads 22 pages.
6th night, he reads 25 pages.
7th night, he reads 28 pages.
8th night, he reads 31 pages.
9th night, he reads 34 pages.
10th night, he reads 37 pages.
Total number of pages read after 10 nights = 235
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
The Liverpool Math Club is taking one bus that carries 20 people, the rest of the people will need to ride small busses that carry 8 people to its regional competition. There are 55 students and two faculty advisors going on the trip. If n represents the number of small busses needed for the ...
Answer:
The question is not complete, therefore I cannot answer this.. :(
Step-by-step explanation:
if anything try dividing these numbers
help pleaseeeeeeeeeeeeeeeeeeee
Answer: the maximum is at (3,4)
Step-by-step explanation:
couldn't plz have help
Answer:
The first one
Step-by-step explanation:
Answer:
y=1/4x-3/4
Step-by-step explanation:
because it's been put into a slope form already sksk so it basically wanted in simplified in a sense then cross turn the 3 and turn it into a fractions and reform the problem
Is (-4, 2) a solution of 4x + 5y 3-7?
PLEASE HELP WILL MARK BRANLIEST
Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.
[tex]4x+5y^3=-7[/tex]
[tex]4x+5y=-37[/tex]
so, I will solve both of them.
Answer:
Please check the explanation.
Step-by-step explanation:
1)
[tex]4x+5y^3=-7[/tex]Assuming the equation
[tex]4x+5y^3=-7[/tex]
substituting x = -4 and y = 2
[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]
[tex]-16+2^3\cdot \:\:5=-7[/tex]
[tex]-16+40=-7[/tex]
[tex]24=-7[/tex]
False!
The sides are not equal!
Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].
2)
[tex]4x+5y=-37[/tex]
Assuming the equation
[tex]4x+5y=-37[/tex]
substituting x = -4 and y = 2
[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]
[tex]-16 + 10 = -37[/tex]
[tex]-6=-37[/tex]
False!
The sides are not equal!
Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].
Please help guys I need it
Answer:
a= 20
b= 169.7
c= 29.71
Step-by-step explanation:
The formula of a triangle is (h*b)/2
a= (5*8)/2
b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2
c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2
2x – 10 = 4x
solve for x
Answer:
Step-by-step explanation:
2x-10=4x
-10=4x-2x
-10=2x
-10÷2=x
-5=x
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
What is the answer to this?
Answer:
65 reaminder 85
Step-by-step explanation:
u divided it and theres a big remainder so i did the two first reinders i found
plz i need help luv u
2. Write a two column proof. (4pts)
70 + 5
Given:6 3
72 73
Prove: x = -1
Step-by-step explanation:
4x/6=7x+5/3
<=> 4x.3=(7x+5).6
<=> 12x=42x+30
<=> -30x=30
<=>x=-1
find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7
Answer:
A = $19,908.59
Step-by-step explanation:
Compound Interest
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]
[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]
A = $19,908.59
can someone hep me with this
Answer:
What do you need help with?
Step-by-step explanation:
The discount price of a book is 20% less than the
retail price. James manages to purchase the book
at 30% off the discount price at a special book
sale. What percent of the retail price did James
pay?
A) 42%
B) 48%
C) 50%
D) 56%
Answer:
Step-by-step explanation:
Let retail be $100
At 20% discount
(100-20)% * 100
0.8*100
$80
At 30% discount
(100-30)%* 80
$56
Using the percentage relationship between cost, the book was purchased at 56% of the retail price.
Let :
Retail price = r
Discount price = 0.8r
Special sale price :
30% off discount price(1 - 0.30) × 0.8r
0.70 × 0.80r = 0.56r
Hence, the book was purchased at 56% of the retail price.
Learn more : https://brainly.com/question/25581049
Fun fact: If you put fun fact in front of a statement, people will click on it and read it. (Now answer)
36+14/25
Answer:
the answer is 36+14/25=36.56
(2x+1)(5x-4)
multiply
Answer:
1 0 3 − 3 ^2 − 4
Step-by-step explanation:
Answer:
I think it might be 23+92−5
Step-by-step explanation:Im not tottally sure
Please help I will mark brainliest
Answer: the graph is incorrect
Step-by-step explanation:
The graph should be headed towards the left (the negative x side) because x is negative
Answer:
The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.
Step-by-step explanation: