Answer:
An estimate of the probability that Jorge will make a profit is (5; 0.496)
Step-by-step explanation:
The total cost = 170x1 = $170
The payoff is $35 per $1 bet
The number of wins needed to make a profit = 170/35 = 4.86 \approx 5
Probability of winning, P(win), p = 1/38
n = 170
P(Jorge will make a profit) = P(at least 5 wins)
mean = np = 4.47
standard deviation = \sqrt{npq} = 2.09
P(X \geq 5) = 1 - P(X < 5)
P(X < A) = 1 - P(Z < (A - mean)/standard deviation)
After the application of continuity correction,
P(X \geq 5) = 1 - P(Z < (4.5 - 4.47)/2.09)
= 1 - P(Z < 0.01)
= 1 - 0.5040
P(X \geq 5 = 0.496
An estimate of the probability that Jorge will make a profit is (5; 0.496)
Answer:
probability that Jorge makes a profit is = 0.46412
Step-by-step explanation:
Solution:-
- The number of bets made on number "3", N = 170
- He bets on each number "3", k = $1
- The winning pay-off odds : $ ( 35 : 1 )
- The probability of getting number "3" on a spin, p = 1/38
- The total amount paid (C) for n = 170 bets on number "3" are:
C = N*k
C = (170)*($1)
C = $170
- The probability of getting a number "3" on a spin is independent for each trial.
Denote:
- The amount received per win = $ 35
- The number of wins = r
- So the minimum "N" number of wins must be enough to match loss.
Amount Win = Amount Loss
r*$35 = C
r*$36 = C
r = $170 / 36
r = 4.7222 ≈ 5 wins
- So the minimum amount of wins required by r = 10 to make a profit.
- Let a random variable "X" denote the number of times Jorge spins to get number "3" - Number of wins. The probability to get a number "3" on each spin is independent for each trial. Therefore X follows Binomial distribution.
- So, X ~ B ( N , p )
X ~ B ( 170 , 1/38 )
1 - p = 37 / 38
- So we need to determine that Jorge get number "3" at-least r = 5 times. Where the probability mass function for binomial distribution is given below:
[tex]P ( X = r ) = ^NC_r * (p)^r * ( 1 - p )^(^N^ -^ r^ )[/tex]
So,
[tex]P ( X \geq 5 ) = 1 - P ( X \leq 4) = 1 - [ P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P ( X = 4 )]\\\\1 - [ (37/38)^1^7^0 + 170*(1/38)*(37/38)^1^6^9 + 170C2*(1/38)^2*(37/38)^1^6^8 + \\\\170C3*(1/38)^3*(37/38)^1^6^7 + 170C4*(1/38)^4*(37/38)^1^6^6 ]\\\\1 - [ 0.01074 + 0.04935 + 0.11271 + 0.17059 + 0.19249]\\\\= 1 - 0.53588\\\\= 0.46412[/tex]
- So the probability that Jorge makes a profit is = 0.46412
Note:- The normal approximation to Binomial distribution may be a less cumbersome choice; however, care must be taken to verify the conditions for normal approximation i.e
N*p ≥ 10
With the given data, N = 170 , p = 1/38:
N*p = 170/38 = 4.4737 ≤ 10
Hence, the normal approximation is an invalid choice for the data given.
20% of a is 11. What is a? *
20% of a = 11
[tex]\frac{20}{100}[/tex] a = 11
[tex]\frac{1}{5}[/tex] a = 11
a = 55
I hope this helps! If you have any questions, feel free to ask.
Answer.
2.2
Why:
in percents you always put the percent above 100% ( so it'll look like this---- 20/100) and your number that is left out would be 11 so you put it by your percent like this----20 a
100 11
so now you do divide and multiply: you divide 20 by 100 and multiply by 11 to get a which is 2.2
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are queens.
To find the probability of getting all 4 cards that are queens, we calculate the number of favorable outcomes and the total number of possible outcomes. The probability is the number of favorable outcomes divided by the total number of possible outcomes.
Explanation:To find the probability of getting all 4 cards that are queens, we need to calculate the number of favorable outcomes (4 queens) and the total number of possible outcomes when 4 cards are dealt from a shuffled deck of 52 cards.
The total number of possible outcomes can be calculated using combinations. We can use the formula C(n, r) = n! / (r!(n-r)!), where n is the total number of items (52 cards) and r is the number of items to be selected (4 cards). So, C(52,4) = 52! / (4!(52-4)!) = 270,725.
The number of favorable outcomes is 4 since we want all 4 cards to be queens.
Therefore, the probability is the number of favorable outcomes divided by the total number of possible outcomes: P(all 4 cards are queens) = 4/270,725 = 0.00001475 (rounded to 5 decimal places) or approximately 0.0015%.
if 85g = 237ml
20g = ?
Answer:
55 13/17
Or, 55.765 g
Step-by-step explanation:
85 : 237
20 : X
X/237 = 20/85
X = 55 13/17
Or, 55.765 g
Solve the equation for y. Then find the value of y for each value of x.
y + 4x = 11; x = -1, 0,3
Solve the equation for y.
y=1
What is it ?
Answer:
y+4(-1)=11
y=11+4
y=15.
ii)y+4(0)=11
y=11
ii)y+4(3)=11
y=11-12
y=-1
when y=1
1+4x=11
4x=11+1
4x=12
x=3
An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to the nearest tenth.
Answer: [tex]BC=14.8[/tex]
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:
[tex]sin\alpha =\frac{opposite}{hypotenuse}[/tex]
In this case, you can identify that:
[tex]\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24[/tex]
Substituting values, and solving for "x", you get:
[tex]sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416[/tex]
Therefore, the length of BC rounded to nearest tenth, is:
[tex]BC=2(7.416)=14.8[/tex]
A bag has 2 blue marbles 3 red marbles and 5 white marbles. Which event has a probability greater than 1/5 select three options
Answer:
all
Step-by-step explanation:
all of them has the probability
One letter weighs 12 ounces. The mail carrier is allowed to carry 30 pounds. How many letters is he able to carry? 16 letters 32 letters 40 letters 480 letters
Answer: He is able to carry 40 letters
Step-by-step explanation: The total weight the mail carrier is allowed is 30 pounds, whereas each letter weighs 12 ounces.
What we need to do is simply find the rate of conversion between an ounce and a pound.
By conversion, 1 ounce equals 0.0625 pounds, that is;
1 ounce = 0.0625 pounds
Therefore 12 ounces would be 0.0625 times 12 which equals, 0.75 pounds. This means one letter weighs an equivalent of 0.75 pounds. If the mail carrier is allowed to carry a total of 30 pounds, then he can carry;
No of letters = Total weight allowed/weight of one letter
No of letters - 30/0.75
No of letters = 40
Hence the mail carrier is able to carry 40 letters.
Your Answer is C. He can carry 40 letters.
Step-by-step explanation:
Hope it helps!
Good luck!
The average rate of change of a function is less from = x equals 1 to = x equals 4 than from = x equals 5 to = x equals 8 . What type of function could it be? Explain
Answer:
Step-by-step explanation:
Given that,
Rate of change of a function
1. From x = 1 to x = 4
2. From x = 5 to x =8
Then,
Rate of change for first condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (4-1) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
Rate of change for second condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (8-5) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
The rate of change are equal, it shows that the slope are equal.
So, it is a straight line function.
Since it has equal rate of change..
help with this pls is important
Answer:
#1: x=6, -1
#2: x=2, 3
#3: x = - 4/3, 2
#4: x = -5/2, -2
#5: x = 1/2, -7/2
#6: x= -1/2, 2/3
#7: x = 1/3, 1/4
Step-by-step explanation:
You’re gonna have to copy this down quickly because if they see that I don’t have an explanation, they are going to delete my comment. So hurry!!!
Answer:
Step-by-step explanation:
27/45=_/5?
2/6=_/3?jjjjjj
Answer:
27/45=3/5
2/6=1/3
Step-by-step explanation:
(5 × 4) × (16 ÷ 8) × (24 − 22) =
Answer:
= 80
Step-by-step explanation:
(5 × 4) × (16 ÷ 8) × (24 − 22) =
20 * 2 * 2 =
80
Which formula should be used to find the circumference of a circle?
A C = pi d
B C = 2 pi d
C C = pi r
D C = StartFraction pi over d EndFraction
Answer:
A
Step-by-step explanation:
[tex]C=\pi d\\[/tex]
or
C=pi times 2r
Answer:
A
GIVE THE OTHER GUY BRAINLIEST
ALL CREDIT TO HIM
On Thursday, Mme Q answered emails from her students for 5/6 hour. On Friday, she increased her time answering emails by 7/12 hour. On Thursday, Mme F answered emails for 1/2 hour. On Friday, Mme F increased the amount of time answering emails by 3/4 hour.Who spent more time answering emails from students on Friday and by how many minutes?
Answer:
Mme Q spent more time answering emails from students by 10 minutes
Step-by-step explanation:
Here we have
Time spent by Mme Q in answering mails on Friday given by
5/6 Hour = 50 minutes and
7/12 Hour = 35 minutes
Total time spent on Friday = 85 Minutes or
5/6 + 7/12 = 17/12 Hours
Time spent by Mme F in answering mails on Friday given by
1/2 Hour = 30 minutes and
3/4 Hour = 45 minutes
Total time spent on Friday by Mme F = 75 Minutes or
1/2 + 3/4 = 5/4 Hours
Therefore, Mme Q spent more time answering emails from students by 85 - 75 = 10 minutes.
Select the correct answer.
An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at all times. If
x customers can travel in the elevator with the elevator operator, which inequality represents this situation?
A X+1 <17
B. x>18
C. x+1<16
D. X<17
E. x+1 >18
Answer:
a
Step-by-step explanation:
Please help me with this question. Will mark brainliest!!
Answer:
77
Step-by-step explanation:
im rusty but u double 75 i think add the arc thing which is 133 and subtract that from 360 to get 77
Sammy and his family took a hiking trip to the mountains. They started out with 20 pounds of food. They plan on eating 4 pounds of food each day. Write a. Equation that relates the remaining food supply r to the number d
Answer:
The answer is r = 20 - 4d
Step-by-step explanation:
They started out with 20 pounds of food and consume 4 pounds each day which implies after d number of days, they would have consumed 4d pounds.
Hence, the remaining amount of food (r) = 20 - 4d
Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Answer:
Step-by-step explanation:
we have that
[tex]f(x) = x^2 + x - 9[/tex]
Using a graph tool
see the attached figure
The function represent a vertical parabola that open up
the vertex is a minimum-------> is the point (-0.5, -9.3)
The x-intercepts are the points when the y coordinate is equal to zero
The x-intercepts are the points (-3.5, 0) and (2.5, 0)
so
the function cross the negative x-axis at point
therefore, the answer is
(-4, 0) and (-3, 0)
Answer:
(-6,0)(-5,0)
Step-by-step explanation:
What is the measure of AngleDEF?
Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees.
25 degrees
75 degrees
90 degrees
105 degrees
Answer:
Angle E should be 105 degrees.
Step-by-step explanation:
Since a triangle equals 180, you subtract 47° and 28° from that and come up with 105°.
The angle E is 105 degrees when Angle D is 28 degrees. Angle F is 47 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let the triangle be DEF.
Angle D is 28 degrees. Angle F is 47 degrees.
We need to find the angle E
By angle sum property we know the sum of three angles of a triangle is 180 degrees.
28+47+x=180
75+x=180
Subtract 75 from both sides
x=180-75
x=105 degrees.
Hence, the angle E is 105 degrees when Angle D is 28 degrees. Angle F is 47 degrees.
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?
y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1
y < 2/3x - 1
Step-by-step explanation:Find the Equation of the line
P1(-3,-3) P2 (3,1)
1.) Find the Slope
Rise: 1-(-3) = 4
Run: 3-(-3) = 6
m = [tex]\frac{Rise(Changeiny)}{Run(Changeinx)}[/tex] = [tex]\frac{4}{6}[/tex]=[tex]\frac{2}{3}[/tex]
2.) Find y intercept (B)
y = 2/3x + b
-3 = 2/3(-3) + b <-Plug a point in
-3 = 2 + b
-2 -2
-1 = b
3.) Equation
y = 2/3x - 1
Write an inequality
Since y must be below the line, that means y is less than the equation used to find the line.
y < 2/3x - 1
Though I was not able to get the right answer I'll just answer what has the right equation.
Answer:
y < Two-thirdsx – 1
Step-by-step explanation:
3) Mr Peterson bought a case (24 boxes) of fruit juice. One-third of the drinks were
grape and two-thirds were cranberry How many boxes of each flavor did Mr.
Peterson buy?
Answer:
8 grape and 16 cranberry
Step-by-step explanation:
To find this, we need to know what one-third of 24 boxes are; we'd then do 24 divided by 3, which is equal to 8. One-third of them were grape so we know 8 are grape. Cranberry makes up the other two-thirds; two-thirds is equal to one-third times 2. 8 (one-third) times 2 is 16, giving our answer of 16 cranberry.
Answer:
mr peterson bought 8 boxes of grape juice and he bought 16 boxes of cranberry juice
Step-by-step explanation:
In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?
Answer:
he's 7 years old
Answer:
Step-by-step explanation: Kevin will actually be 6 years and 2 months old
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
What is the surface area of the triangular prism?
60 square feet
72 square feet
82 square feet
84 square feet
Answer:
My friends
Step-by-step explanation:
the surface area of the triangular prism is
60 square feet
This is hard hi and I'm guessing 60 also
lani and her friends started a dog walking service after school, they want to know how much money they can earn walking diffrent dogs
The amount of money Lani and her friends can earn walking different dogs depends on a number of factors, including:
The number of dogs they walk each day/weekThe length of each walkThe rates they charge per dog/walkThe demand for dog walking services in their area.Here is an example of how to calculate the potential earnings for Lani and her friends:
Number of dogs walked per day/week: Let's say Lani and her friends walk 5 dogs per day, 5 days per week.
Length of each walk: Let's say each walk is 30 minutes long.
Rates charged per dog/walk: Let's say they charge $20 per dog per walk.
Demand for dog walking services: Let's say there is a high demand for dog walking services in their area.
Based on these assumptions, Lani and her friends could earn up to $250 per day and $1,250 per week walking dogs
Of course, these are just estimates. The actual amount of money they earn will depend on the factors listed above.
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What is 2 divided by 565
Answer:
.003539823 to be exact
Step-by-step explanation:
well 565 cant go into 2 one time so it be a decimal.
Explain whether y = x2 – 1 is a linear equation
Answer:
Step-by-step explanation:
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction
The given equation y = x² - 1 is not a linear equation.
What is a linear equation?Linear equations are algebraic equations that have only one constant and are only of the first degree.
Is y = x² - 1 is linear equation?We know that linear equations are of the only first-order(linear) term, but since the given equation has the second-order(linear) term.
Hence, the given equation y = x² - 1 is not a linear equation.
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In a survey of 250 students, 60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog
Answer:
Step-by-step explanation:
Given:
250 students And respective percentage of students who are having dogs and cats.
To Find:
60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog
Solution:
Taking each condition as follows:
60% of 250 have cats
i.e 0.6 *250= 150 students have cats
So 150 students of that 70% has dogs
i.e 0.7*150=15*7=105 students have dogs
Now 40 % of 250 dont have cats
i.e 0.4*250=100 students dont have cats
So Of which 75 % have dogs
i.e 0.75*100= 75 students will have dogs.
Now making tabular forms to understand properly,
(Refer the Attachment)
Estimate the number of cell phone subscribers in 2008. Round to the nearest tenth.
Answer:
For this case we have an exponential function of the form:
Where,
A: initial number of subscribers
b: rate of change
x: number of years
Part A:
The equation modeling the problem is given by:
For the year 2008 we have x = 2.
Substituting values:
Part B:
For the year in which the company reaches 278 million we have
Thus, the company reaches 278 million in the year 2009.
Step-by-step explanation:
If you place a 29-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Answer:
Step-by-step explanation:
20
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
2
)
and
(
2
,
−
8
)
Answer:
(0,-5)
Step-by-step explanation:
(−2,−2)
and
(2,−8)
Midpoint: (-2+2)/2, (-2-8)/2
0/2, -10/2
(0,-5)
Which statement about histograms is true?
A. Data is organized in categories.
B. Data appears as bars that are all about the same height.
C. Data is organized in equal intervals.
D. Data appears as bars that do not touch.
Answer:
C. Data is organized in equal intervals. i think
Step-by-step explanation:
The correct statement about histograms is that data is organized in equal intervals. A histogram represents data through bars of different heights, corresponding to their frequency, grouped into specified ranges.
Explanation:In regards to histograms in mathematics, the true statement is: C. Data is organized in equal intervals. A histogram is a type of graphical representation that organizes a group of data points into a specified range. The data is portrayed via bars of different heights, where each bar groups numbers into ranges. These bars touch each other where the height of each bar corresponds to its frequency of data points. Unlike bar charts, histograms do not display data in separate categories, but as continuous data grouped into ranges, hence they are arranged in equal intervals.
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