A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the number of times a player wins in for place what is the most probable value of X what is the probable that the player will win at least once
Answer:
0.6836 = 68.36% probability that the player will win at least once.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used 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.
25% chance of winning
This means that [tex]p = 0.25[/tex]
Plays the game four times
This means that [tex]n = 4[/tex]
What is the probability that the player will win at least once?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836[/tex]
0.6836 = 68.36% probability that the player will win at least once.
who was found the math
[tex]\color{red}{==========================}[/tex]
✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.
1.Explain how you know Elena made a mistake based on her solution.
2.Fix Elena’s inequality and explain what each part of the inequality means.
Answer:
x is 69.75
Step-by-step explanation:
8x+58>500
500-58
8x/8>558/8
x>
A rectangular prism has a 4-inch-by-5-inch base and
a height of 3 inches. What figure represents a cross
section parallel to the base of the prism?
Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.
Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?
Given:
Scott can run 20 km in 85 minutes.
To find:
How long will it take Scott to run 52 km?
Solution:
Let x be the number of minutes it will take him to run 52 km.
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Using this formula, we get
[tex]Speed=\dfrac{20}{85}[/tex] ...(i)
[tex]Speed=\dfrac{52}{x}[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]
[tex]20\times x=52\times 85[/tex]
[tex]20x=4420[/tex]
Divide both sides by 20.
[tex]x=\dfrac{4420}{20}[/tex]
[tex]x=221[/tex]
Therefore, it will take 221 minutes to run 52 km.
Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a
Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
Find the measure of the reference angle for each given angle
0=225
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
Please help me with this.
9514 1404 393
Answer:
A, C, D, G
Step-by-step explanation:
The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.
The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.
To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.
"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.
solve for x
7x/2+5=8
o x=6/7
o x=26/7
o x=21/2
o x=91/2
Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
╭⋟───────────────
[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]
So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Solve the system by substitution.
y = 4x
y = 8x - 36
Answer:
(9,36)
Step-by-step explanation:
Substitute the 4x for the y in second equation.
Basically setting them equal to each other because the both have 'y='
4x = 8x - 36
-4x = -36 (subtract 8x from both sides)
x = 9 (divide by -4, both sides)
y = 4(9) (Substitute the x value into first equation)
y = 36
Place the angles in order from largest (at the top) to smallest (at the bottom).
Answer:
∠A
∠B
∠C
Step-by-step explanation:
Place the angles in order from largest (at the top) to smallest (at the bottom).
∠A
∠B
∠C
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, acute, obtuse, scalene and right angled triangle.
If two sides of a triangle are unequal, then the value of the angles opposite to these sides are unequal, and the greater angle is that which is opposite to the greater side.
BC > AC > AB
Therefore the angles opposite are proportional to this sides. Hence:
∠A > ∠B > ∠C
Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he
spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?
O 2
O 3
O 4
O 6
Given:
Fixed cost = $300
Variable cost = $75 on each supply
Revenue = $125 on each horse.
To find:
The number of horses for break even.
Solution:
Let x be the number of horses.
The fixed cost is $300 and the variable cost is $75 on each supply. So, the cost function is:
[tex]C(x)=300+75x[/tex]
The revenue from each horse is $125. So, the revenue function is:
[tex]R(x)=125x[/tex]
On break even, the revenue and cost are equal.
[tex]R(x)=C(x)[/tex]
[tex]125x=300+75x[/tex]
[tex]125x-75x=300[/tex]
[tex]50x=300[/tex]
Divide both sides by 50.
[tex]x=\dfrac{300}{50}[/tex]
[tex]x=6[/tex]
The number of horses for break even is 6.
Therefore, the correct option is D.
Answer:
6
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
Step-by-step explanation:
The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.
When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)
Answer:
(3,5)
5*3 = 15 .... 15-5 = 10
Step-by-step explanation:
NEED HELP! Which of the following points are in the third quadrant of the xy-plane? Check all that apply.
A. (4,8)
B. (-4,-2)
C. (6,-2)
D. (-7, 6)
E. (-2,-8)
F. (2, 2)
Answer:
B. (-4,-2)
E. (-2,-8)
Step-by-step explanation:
Quadrant three has a negative x and negative y.
find the area of the Shaded sector. round to the nearest hundreds place
PLS HELP
Answer:
92.99 units squared
Step-by-step explanation:
area of a circle is
[tex]\pi \times {r}^{2} [/tex]
just multiply that by 74/360, the fraction of a full circle we got here
encontrar la x y explicar el resultado
[tex]\sqrt{2x+6} = 2[/tex]
Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next hour or I’ll get a zero, please anyone, and thank you if you do know how to help me
Answer:
-383.5
Step-by-step explanation:
4+2.5+1+...-33.5
a=4
c.d. d=2.5-4=-1.5
l=-33.5
l=a+(n-1)d
-33.5=4+(n-1)(-1.5)
-33.5-4=(n-1)(-1.5)
-37.5=(n-1)(-1.5)
[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]
In a Survey of 500 people , 350 people dank only one drink. 60 people dink none them. Find the number of people who drink both ,
Answer:
90
Step-by-step explanation:
350+60= 410 & 500-410=90
Answer: The number of people who drank both is 90
This is because we need to subtract 350 people from 500 people, because we know that they didn't drink the drink. We have 150 people left. Another 60 people don't drink the drink at all, so we need to subtract that from the remaining 150 people left. We get the solution of 90 people who could only have drank both drinks based of of the givens you have provided.
‼️‼️‼️HELP ILL MARK YOU BRAINLEST ‼️‼️‼️
a shirt normally sells for $25. a sales tax of 8% is added to the shirt. what is the total cost of the shirt including the tax
a)20.00
b)$2.00
c)$27.00
d)$23.00
Answer:
C.$27.00
Step-by-step explanation:
First, you have to multiply the percentage by the starting number, 8%*25 = 2;
Then you have to add that answer (2) to the starting number (25), 25+2 = 27;
So the total cost of the shirt would be $27.00.
A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy
Answer:
the answer is 6
Step-by-step explanation:
3 times 2 equals 6
Maria rode her bicycle at an average speed of 18 mph on level roads and then slowed down to 10mph on the hilly roads of the trip. The entire trip covered 98 miles. How long did the entire trip take if traveling the level roads took the same time as traveling the hilly roads? {Remember, d = r·t }
Let the time = X
Distance = Rate times time
Level roads = 18x
Hills = 10x
Total is 98 miles
18x+10x = 98
Add:
28x = 98
Divide both sides by 28:
x = 3.5
She spent 3.5 hours on each part
Total time = 3.5 + 3.5 = 7 hours
Which algebraic expression represents the phrase "four times a number"?
O4 + c
Oc-4
O 4-0
O 40
Answer:
O 40
Step-by-step explanation:
because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O
Which weights are within 2 standard deviations of the mean? Select three options.
Answer:
8.9 lbs
9.5 lbs
10.4 lbs
are correct three options for this
Step-by-step explanation:
but u should give options too
It took me a long time to find the answer from book..
so If you had given options, I would not have spent so much time to find the ans..
From the next time you have to take care of it okay
seeya !! (◕ᴗ◕✿)
tan2°- cot 88° evaluate
Answer:
0
Step-by-step explanation:
tan2°- cot 88° = tan 2° - tan (90-88)°
= tan 2°-tan 2° = 0
Answer:
0Step-by-step explanation:
➡️tan 2° - cot 88°
➡️tan 2° - tan (90° - 88°)
➡️tan 2° - tan 2°
➡️ 0 ✅
by rounding to one significant number, estimate the answer to these questions:
a) 687x164
b) 476x2354
c) 8612x1497
Answer:
a) 140000
b) 1000000
c) 9000000
Step-by-step explanation:
a) 687x164
700 * 200 =140000
b) 476x2354
500*2000=1000000
c) 8612x1497
9000*1000=9000000
BRAINLYEST TO WHOEVER ANSWERS FAST
Volume
To measure the index of refraction for different liquids, you can use half-circle refraction cups.
Keep this image open as you work on the tasks.
Part A
Which measurements do you need to know to find the volume of a cylinder?
Part B
Since the base of the refraction cup is a half circle, how can you find the radius? What is the radius?
Part C
If you put two refraction cups together, what three dimensional shape would you have?
Part D
The formula for the volume of a cylinder is . What is the approximate volume of two refraction cups? Use 3.14 for pi.
Part E
Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?
Part F
Using the equation from Part E, what is the approximate volume of one refraction cup? What is the relationship between this value and the value from Part D? Use 3.14 for pi.
1. The measurements you need to find the volume of a cylinder are the radius of the base of the cylinder and the height of the cylinder.
2. The radius is 4
3. The 3D shape will form a full cylinder.
4. To calculate the volume of a cylinder we use the formula V = πr²h which is = π(4²)(2) = 3.14 × 16 × 2 = 100.48 cm³
5. The formula for a refraction will be (πr²h) / 2
6. From the formula in part E, the approximate volume of a refraction is (3.14 × 4² × 2)/ 2 = 50.24 cm³
How do you find the radius of the base of the cylinder and the height of the cylinder as far as calculating the volume of a cylinder is involved?If you have been givn the volume of a cylinder and its height, you can use the formula for the volume of a cylinder to solve for the radius. Rearange the formula to r = sqrt(V / (πh)).
If you know the surface area of a given cylinder and height, you can find the radius using the formula for cylinder surface area (A = 2rh + 2r2). Rewrite the formula as r = (A - 2h) / (2.
Find more exercises on calculating the volume of a cylinder;
https://brainly.com/question/16134180
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A line has equation y= −2/3 x-4.Write down the gradient of the line.
Answer:
y = mx + c ... linear graph
y = -2/3x - 4
the gradient is -2/3
12) A family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20. Write an expression that represents the total cost of their hotel stay? PLEASE HELP
Answer:
80n+20=total cost
Step-by-step explanation:
We don't know the value of n, but we don't need it for an expression. We know that the family has to pay $80 per night that they stay at the hotel. Modeling this would look like: 80n (80*n for nights). Also, we know that the family MUST pay a $20 fee. So, we can add that on to the expression to look like this, 80n+20=total cost.
Hope this helps!
Have a nice evening.
The difference between an observational study and an experiment is that:
A. in an observational study, only one group is studied, and in an experiment, two groups are studied.
B. in an observational study, the researchers do not control treatment, and in an experiment, they do.
C. in an experiment, cause-and-effect is analyzed, and in an observational study, it is not.
D. in an experiment, one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time.
Answer:
B
Step-by-step explanation:
An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable
Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying to control or influence the population