Answer:
2,000 + 0.03x
Step-by-step explanation:
4. Charles claims that he can distinguish between beer and ale 75 percent of the time. Ruth bets that he cannot and, in fact, just guesses. To settle this, a bet is made: Charles is to be given ten small glasses, each having been filled with beer or ale, chosen by tossing a fair coin. He wins the bet if he gets seven or more correct. Find the probability that Charles wins if he has the ability that he claims. Find the probability that Ruth wins if Charles is guessing.
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
Which statement can you conclude is true from the given information?
Answer:
angle IJA is a right angle
If the equation 5(3x + 7) – 1 = 3(52 + k) + 4 has infinitely many solutions, what is the value of k?
Answer:
k = 5x - 42
Step-by-step explanation:
A typical tip in a restaurant is 15% of the total bill. If the bill is $100, what would the typical tip be
Answer:
15 dollars
Step-by-step explanation:
Total Bill = Cost of the Meal + tip
Total Bill = 100 + 15/100 * 100
Total Bill = 115
So the tip is 15 dollars.
What are the answers pls?
Answer:
B)
Step-by-step explanation:
I believe the answer is B).
Hope this helps! Do you give brainlliest?
what is the percent increase in 22 to 30
Answer:
36.37%
Step-by-step explanation:
30 - 22 = 8
100% * 8/22
800/22
36.37%
write a function for the table
please help I don't get it
Answer:
y = 2x - 5
Step-by-step explanation:
Let us consider the points (- 2, - 9) & (0, - 5)
Equation of line in two point form is given as:
[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]
(y + 9)/(-9 +5) = (x + 2)/ (-2)
(y + 9)/(-4) = (x + 2)/(-2)
(y + 9)/(2) = (x + 2)/(1)
(y + 9) = 2(x + 2)
y + 9 = 2x + 4
y = 2x + 4 - 9
y = 2x - 5
This is the required function.
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
.) Mr. Leonard is saving his money for a new Jeep toy. If 30% of the toy Jeep
is $6.00, how much is the toy?
Answer:
i think its 20 dollars
Step-by-step explanation:
hope its right
What is the equation of this line
Answer:
Y= 2x
Step-by-step explanation:
Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.
HELP URGENT !!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Consider this function.
(r) = -3r + 3
Which graph represents the inverse of function ?
9514 1404 393
Answer:
C. graph Y
Step-by-step explanation:
Starting with f(r) = -3r +3, the inverse function can be found from ...
r = f(y)
r = -3y +3
r -3 = -3y
(r -3)/-3 = y
y = -1/3r +1
The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.
PLEASE HELP!!! (20 POINTS)
Is it true that [20+(−1)0]0=1? Explain.
A.No, because the negative sign will cancel the values, resulting in zero.
B.Yes, because the negative sign will cancel the values, resulting in one.
C.No, because any number raised to the zero power is zero.
D.Yes, because any number, except zero, raised to the zero power is one.
Applesauce recipe for 8 uses 3 quarters of water. How much water for 12 people
Answer:
4.5 quartsStep-by-step explanation:
We use a proportion to solve this.
8/3 = 12/x
Cross-multiply to get:
8x = 36
x = 4.5
The answer to the question is 4.5
Based only on the information given in the diagram, it is guaranteed that
AEFG AHJK
K
F
16
E
3
G
00
H
A. True
B. False
The statement that the two triangles are similar based on the given figure is false.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
So, we know that two similar triangles will have all the corresponding angles equal to each other.
Given two triangles EFG and HJK.
Also, given that,
EG = 8 and HK = 16
EG/ HK = 8/16 = 1/2
∠E = ∠H = 90°
There are no other information given.
If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.
In this case, we cannot say two triangles are similar.
Hence the statement is false.
Learn more about Similar Triangles here :
https://brainly.com/question/14926756
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Find the slope and y-intercept of the line in each graph. (Explore Activity 1) Please help me
Answer:
1. Slope = -2 , y-intercept = 1
2. Slope = 5 , y-intercept = -15
3. Slope = 1.5 , y-intercept = -2
4. Slope = -3 , y-intercept = 9
Step-by-step explanation:
1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!
Find the median and mean of the data set below: 39, 22, 14, 9, 1, 11
Answer:
mean is 16
Step-by-step explanation:
Which decimal has the greatest value ? 0.2 , 0.27 , 0.029 , 0.231
Answer:
0.27
Step-by-step explanation:
Greatest decimal value is 0.27
What is decimal value?Decimals are based on the preceding powers of 10
Given decimal values are
0.2,0.27,0.029,0.231
Order the decimal numbers from low to high
0.029<0.2<0.231<0.27
Hence, the greatest decimal value is 0.27
Learn more about decimal value here
https://brainly.com/question/19802955
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Urgently need this my kid is confused and so am I.
The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?
Answer:
The other equation is [tex]x + y = 21[/tex]
The length and width are 13 and 8
Step-by-step explanation:
Given
[tex]Perimeter = 42[/tex]
[tex]y = x - 5[/tex]
Required
What is the other equation for the length and width?
x and y represents the length and width respectively.
The perimeter of a rectangle is calculated using:
[tex]Perimeter = 2 * (length + width)[/tex]
In this case, it is:
[tex]Perimeter = 2 * (x + y)[/tex]
Substitute 42 for perimeter
[tex]42 = 2 * (x + y)[/tex]
Divide through by 2
[tex]21 = x + y[/tex]
[tex]x + y = 21[/tex]
Required: The values of length and width
We have that:
[tex]y = x - 5[/tex]
[tex]x + y = 21[/tex]
Substitute x - 5 for y in the second equation
[tex]x + x - 5 = 21[/tex]
[tex]2x - 5 = 21[/tex]
Add 5 to both sides
[tex]2x - 5 + 5 = 21 + 5[/tex]
[tex]2x = 26[/tex]
Divide through by 2
[tex]x = 13[/tex]
Substitute 13 for x in [tex]y = x - 5[/tex]
[tex]y = 13 - 5[/tex]
[tex]y = 8[/tex]
Hence, the length and width are 13 and 8 respectively
PLEASE HURRY! (And only respond if you know the answer please.)
A Web music store offers two versions of a popular song the size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2737 MB. How many downloads of the standard version were there?
Answer:
Step-by-step explanation:
If the no of standard version downloads = 230
Then higher version is twice than that = 460
Total = 2.1 x 230 + 4.9 x 460 = 2737
Helppp... last question on the test lol
(Will mark brainliest)
Answer:
A. Y=1.4x
Step-by-step explanation:
What is the answer and plz give me step by step explaining
Answer:
7
Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7
5 divided by 3/12 equals
Answer:
= 20
Step-by-step explanation:
Turn it into multiplication by doing keep, switch, flip. Keep 5. Switch division to multiplication. Flip 3/12 to 12/3 or 4.
5 x 4 = 20.
In the parallelogram below,
z = [ ? ]°
Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)
Raul and his friends
1
20
4
cars
7
8
2
baby elephants
ما | ط
001
goats
4
cow NIP
desks
1
32
Answer:
Plato Answer
Step-by-step explanation:
ANSWER NEEDED ASAP PLS HELP show your work and give me the answer pleae
any one here in LISD district
Answer:
I'm not, but free points?
Step-by-step explanation:
Garfield always catches 40% of the total flies that he sees on Monday Garfield saw 60 Total
flies how many flies did he catch
Answer:
24
Step-by-step explanation:
since 40% of 60 is 24 then the answer is 24 because garfield catches 40% of 60 of the files he sees
if the point (6,3) lies on the graph of a direct variation, what is the constant of variation?
Answer:
[tex]k = 0.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (6,3)[/tex]
Required
Determine the constant of variation
Since it is a direct variation, the following relationship exists:
[tex]y = kx[/tex]
Where k represents the constant.
Substitute 6 for x and 3 for y
[tex]3 = k * 6[/tex]
[tex]3 = 6k[/tex]
Make k the subject
[tex]k = \frac{3}{6}[/tex]
[tex]k = 0.5[/tex]
Hence, the constant of variation is 0.5
Do You Know How?
In 3-6, multiply to find the product.
Estimate to check for reasonableness.
3. 205 x 23
4. 108 x 34
5. 410 x 44
6. 302 x 30
Answer:
3. 4,715 (estimate: 5,000)
4. 3,672 (estimate: 3,300)
5. 18,040 (estimate: 16,000)
6. 9,060 (estimate: 9,000)
Explanation:
It is reasonable if your answer is somewhat close to the estimate.