Answer:
The probability that you win at least $1 both times is 0.25 = 25%.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This 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.
Probability of winning at least $1 on a single game:
The die has 6 sides.
If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So
[tex]p = \frac{1}{2} = 0.5[/tex]
You are going to play the game twice.
This means that [tex]n = 2[/tex]
The probability that you win at least $1 both times is
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25[/tex]
The probability that you win at least $1 both times is 0.25 = 25%.
The probability that you win at least $ 1 both times is 25%.
Since in a particular game, a fair die is tossed, and if the number of spots showing is either four or five, you win $ 1, while if the number of spots showing is six, you win $ 4, and if the number of spots showing is one, two, or three, you win nothing, and you are going to play the game twice, to determine the probability that you win at least $ 1 both times the following calculation must be performed:
2/6 = 1 1/6 = 4 3/6 = 0 3/6 x 3/6 = X 0.25 = X
Therefore, the probability that you win at least $ 1 both times is 25%.
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I need answer Immediately pls!!!!!!
Given:
Total number of students = 27
Students who play basketball = 7
Student who play baseball = 18
Students who play neither sports = 7
To find:
The probability the student chosen at randomly from the class plays both basketball and base ball.
Solution:
Let the following events,
A : Student plays basketball
B : Student plays baseball
U : Union set or all students.
Then according to given information,
[tex]n(U)=27[/tex]
[tex]n(A)=7[/tex]
[tex]n(B)=18[/tex]
[tex]n(A'\cap B')=7[/tex]
We know that,
[tex]n(A\cup B)=n(U)-n(A'\cap B')[/tex]
[tex]n(A\cup B)=27-7[/tex]
[tex]n(A\cup B)=20[/tex]
Now,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=7+18-n(A\cap B)[/tex]
[tex]n(A\cap B)=7+18-20[/tex]
[tex]n(A\cap B)=25-20[/tex]
[tex]n(A\cap B)=5[/tex]
It means, the number of students who play both sports is 5.
The probability the student chosen at randomly from the class plays both basketball and base ball is
[tex]\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}[/tex]
[tex]\text{Probability}=\dfrac{5}{27}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{27}[/tex].
Help if you can thank you
Answer:
D $175
Step-by-step explanation:
Someone help pleasee need it asappp anyone??
Answer:
c i think
Step-by-step explanation:
im sorry if its wrong
If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
28 cm2
39 cm2
55 cm2
60 cm2
My main problem: The base isn't at the top, so therefore I am confused. It should be on top of the shape but it is not. If it was I could figure it out.
So sorry I messed it up I let you down :(
Answer:
55 cm²
Step-by-step explanation:
In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)
So the top and bottom base are both 9, and the left and right sides are both 5.
So, to solve, we need to use the equation:
(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²
What is the perimeter of the triangle
Answer:
i didnt pray for these baguettes i prayed for better days
Step-by-step explanation:
you know?
Answer:
36
Step-by-step explanation:
You coun the base there has 10 square.
Then the two side is 13 and 13
So add up three of it so the answer is 36
f(x) = x2. What is g(x)?
f(x) = x2
-5
5
g(x)/5
O A. g(x) = -x - 3
O B. g(x) = x2 - 3
O c. g(x) = -x2
D. g(x) = -382
If function f(x)= x² then g(x) is -x² - 3 , option A is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
The reflection in the x-axis changes the sign of the y-coordinate. So, the reflection of f(x) = x² in the x-axis is g(x) = -x².
Secondly, the downward shift of 3 units means subtracting 3 from the y-coordinate.
So, the transformation applied to f(x) to get g(x) is reflection in the x-axis followed by a downward shift of 3 units.
g(x) = -x² - 3 is the result of applying a reflection in the x-axis followed by a downward shift of 3 units to the function f(x) = x².
Hence, if function f(x)= x² then g(x) is -x² - 3 , option A is correct.
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3/5 X 7/2 as a mixed number
Answer:
[tex]2\frac{1}{10}[/tex]
Step-by-step explanation:
Answer:
2 1/10
Step-by-step explanation:
Use substitution to solve the
following system of equations.
- 2x + 4y = -18AND x = y + 3
Does anyone know the answer?
Answer:
D is the right graph
Which of the following statements does NOT represent −3 ?
A
The flower pot fell 3 stories.
B
The tree is 3 feet tall.
C
The roots are 3 feet below the ground.
D
It was 3 degrees below zero.
Answer:
B
Step-by-step explanation:
the tree goes up, meaning it is positive 3. the others represent things being below or decreasing, meaning they are negative.
which aniaml traveled at a rate of 1.5 meter per minute
Answer:
A turtle.
Step-by-step explanation:
19, 12, 3, 6, 18, 20, 4, 4, 8, 12, 16, 20, 10, 1, 7, 8 1. Find the range of the data
Answer:
The highest observation =20
The lowest observation = 1
Range of the data = 20-1
= 19(ans)
Answer:
The range is 19
Step-by-step explanation:
To calculate the range of a set of data, you order the numbers from highest to lowest (ex; 20,20,19,18,16,12,12,10,8,8,7,6,4,4,3,1,1) then you subtract the highest number from the lowest number (ex; 20 - 1)
PLS HELP GUYS PLSSSS !!!!
Answer:
Step-by-step explanation:
18/12 = 24/(x-2) Put the similar sides in the propertions.
The area of a triangle is 169 square meters. The base of the triangle is twice the height. Find the base and height.
I would like the answer and how to get it (show work).
Thanks!
Answer:
The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.
Step-by-step explanation:
Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.
6th grade math help me pleaseeee
Answer:
16
Step-by-step explanation:
if 5 white cups and 8 green 10 white cups and 16 green
5 × 2 = 10
8 × 2 = 16
Answer:
16
Step-by-step explanation:
Because 5*2=10 so 8*2=16.
Have a great day. And be you.
dont just comment for points.
Answer:
that looks good
Step-by-step explanation:
Which expression has a value that is less than the base of that expression? A. 2^3 B. (5/6)^2 C. 3^1 D. 4^4
Answer:
B. (5/6)^2
Step-by-step explanation:
A. 2^3
= 2 × 2 × 2
= 8
The base is 2
Therefore, the expression is greater than the base
B. (5/6)^2
= 5/6 × 5/6
= 5*5 / 6*6
= 25/36
Base = 5/6 = 0.833
Expression =25/36 = 0.694
Therefore, the expression is less than the base
C. 3^1
= 3
The base is 3
Therefore, the expression is equal to the base
D. 4^4
= 4 * 4 * 4 * 4
= 256
The base is 4
Therefore, the expression is greater than the base
The correct answer is B. (5/6)^2
Use the graph to write the factorization of x^2 + 2x - 8
WILL MARK BRAINLIEST HELP ASAP ASAP EASY POINTS 20 POINTS
Answer choices are
4
5
6
7
8
Answer:
5
Step-by-step explanation:
What is total surface area of the rectangular prism shown 10m 10m 8m
Answer this question to get marked as brainliest!!!!!!
at the library book sale. hardcover books costs for $4 and paperbacks books for $2 each. A person spends
$26 for 8 books. How many hardcover books did she purchased?
376 ×74 explain the solving steps
Answer:
376*74=
Step-by-step explanation:
[tex]376 \times 74 = 27824 \\[/tex]
You start driving north for 4 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
The straight line distance between the start and finish point is required.
The straight line distance is 5.7 miles.
Pythagoras theorema = Distance traveled north = 4 miles
b = Distance traveled east = 4 miles
c = Straight line distance
The angle between the two paths is ninety degrees so, the Pythagoras theorem can be applied here.
Applying the Pythagoras theorem
[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{4^2+4^2}\\\Rightarrow c=4\sqrt{2}\\\Rightarrow c=5.7\ \text{miles}[/tex]
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Write the slope intercept form of the equation of the line passing through (-4,6) and perpendicular to y=-2x-5.
Answer:
[tex]y=\frac{1}{2} x+8[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.
After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2} x+b[/tex]
Plug in the given point (-4,6)
[tex]6=\frac{1}{2}(-4)+b\\6=-2+b[/tex]
Add 2 to both sides
[tex]6+2=-2+b+2\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]:
[tex]y=\frac{1}{2} x+8[/tex]
I hope this helps!
Can someone please help
Answer:
201.06
Step-by-step explanation:
3.14 * 8^2= 201.06
(pi * radius ^ squared)
A person invested $7,300 in an account growing at a rate allowing the money to
double every 14 years. How much money would be in the account after 15 years, to
the nearest dollar?
Answer:
Step-by-step explanation:
If you deposit $7300 into an account paying 100% annual interest compounded yearly , how much money will be in the account after 15 years?
Result:
The amount is $239206400.
Explanation:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Answer:
15341
Step-by-step explanation:
\text{Doubling Formula:}
Doubling Formula:
y=a(2)^{\frac{t}{d}}
y=a(2)
d
t
a=7300\hspace{40px}d=14\hspace{40px}t=15
a=7300d=14t=15
d is the doubling time
\text{Plug in:}
Plug in:
y=7300(2)^{\frac{15}{14}}
y=7300(2)
14
15
y=15341.0469243
y=15341.0469243
Find the area of OC. Round your answer to the nearest hundredth.
C.
0.4 cm
A
The area is about
square centimeters.
please help i’ll give 5 stars
Answer: I need help
Step-by-step explanation:
Answer: 0.50
Step-by-step explanation:
What is the slope of the line that is parallel to the line 8x – 2y = 6?
Find the area of the triangle. Enter your answer in the box. An obtuse triangle. The base of the triangle is fourteen millimeters. The long side of the triangle is twenty-seven millimeters. The height of the triangle is twelve millimeters.
Answer: [tex]84\ mm^2[/tex]
Step-by-step explanation:
Given
The long side of a triangle is 27 mm
The length of the base is 14 mm
height of the triangle is 12 mm
The area of a triangle is given by
[tex]\Rightarrow \dfrac{1}{2}\times \text{base}\times \text{height}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{1}{2}\times 14\times 12\\\\\Rightarrow 84\ mm^2[/tex]
Thus, the area of the triangle is [tex]84\ mm^2[/tex]