if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
Learn more about probability here;
brainly.com/question/11234923
#SPJ1
A diver is 7.5 meters above water. she takes her dive 1.7 meters below the surface. how far does the dive take her.
The diver take her at a distance of 9.2 meters.
What is distance?A resultant displacement can be used to quantify distance. It involves measuring the coordinate values of the beginning and ending positions. The distance is measured in quantities like meters, centimeters, kilometers, etc.
A diver descends 1.7 meters below the surface of the water while suspended 7.5 meters above it, according to the question.
According to fundamental mathematics, values that are less than zero can be represented as negative values.
She will thus descend (-1.7) meters as she dives below the surface.
The formula may now be expressed as follows: Total Distance = 7.5 - (-1.7) = 9.2 meters.
As a result, the diver descends 9.2 meters below the surface with her.
To learn more about the distance from the given link:
https://brainly.com/question/23848540
#SPJ9
This equation shows how the total pages of notes in Jessica's notebook depends on the number of hours she spends in class.
p = 4h
The variable h represents the hours she spends in class, and the variable p represents the total pages of notes taken. After attending 1 hour of class, how many total pages of notes will Jessica have in her notebook?
Answer:
What the difference between an expression and an equation?
Image result for This equation shows how the total pages of notes in Jessica's notebook depends on the number of hours she spends in class.p = 4 The variable h represents the hours she spends in class, and the variable p represents the total pages of notes taken. After attending 1 hour of class, how many total pages of notes will Jessica have in her notebook?
An expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. Here are some examples of expressions. An equation is a mathematical sentence that says two expressions are equal.
Step-by-step explanation:
what is the equation represented
Answer:
y=-8x-6, y=-4x, y=-2x+3, x=6
Step-by-step explanation:
y=mx+b
use that formula to make you're equations but remember m represents slope and b what is going up by
What linear function in form y=Mx+b for the line passing through (4.5,-4.25) with y-intercept 2.5
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (2.5 - (- 4.25)) ÷ (0 - 4.5)
= −1.5
Finding the Equation
Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)
y = −1.5x + 2.5
Checking my answer:
I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.
It distance Runner is running an 18 mile race so far she has her own 43% of the race would be the best way to estimate the number of miles around her as run so far by the 40% of 10 to 40% of 25 50% of 10 and 50% of 20
Answer:
40% of 10
Step-by-step explanation:
I believe the answer would be 40% of 10.
Hope this helps, if so please mark the brainliest, peace and love
Answer:
50%
Step-by-step explanation:
The more it was showed so its like 50%.
What is the length of the altitude of the equilateral triangle below?
Answer:
D 5sqrt(3)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base
a^2+b^2 = c^2
5^2 + a^2 = 10^2
25+a^2 = 100
a^2 =100-25
a^2 = 75
Taking the square root of each side
a = sqrt(75)
a = sqrt(25)sqrt(3)
a = 5sqrt(3)
Answer:
Step-by-step explanation:
D
solve 2x-4 / 5 = 4
so you need to find x ^^
Answer:
The answer is x=12
Step-by-step explanation:
2*12= 24-4 = 20/5=4
the answer is x=12
Determine the length of straight line AB, where point A has xy coordinates (15,10) and point B has coordinates (60,70).
Answer:
7. Line EF has the equation y=2x−4, and line GH has the equation y=x. Determine the coordinates of the point of intersection between EF and GH.
The length of the straight line AB, given points A(15, 10) and B(60, 70), is 75 units and the coordinates of the point of intersection between EF and GH are (4, 4).
Given that point A has coordinates (15, 10) and point B has coordinates (60, 70), the distance between these two points (AB) can be calculated as follows:
AB = √[(x2 - x1)^2 + (y2 - y1)^2]
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Substituting the values into the formula:
AB = √[(60 - 15)² + (70 - 10)²]
Simplifying:
AB = √[45² + 60²]
AB = √[2025 + 3600]
AB = √5625
AB = 75
7. To determine the point of intersection between lines EF and GH, we need to set the equations of the two lines equal to each other and solve for the x and y coordinates.
Given:
Line EF: y = 2x - 4
Line GH: y = x
Setting the equations equal to each other:
2x - 4 = x
Simplifying:
x = 4
Substituting the value of x back into either equation, we can solve for y:
y = 4 (since y = x)
Therefore, the coordinates of the point of intersection between EF and GH are (4, 4).
To learn more about the distance between two points;
https://brainly.com/question/24485622
#SPJ4
michael is sitting on a ferris wheel. he is exactly 33 feet from the center and is at the 3 o'clock position when the ferris wheel begins moving. the bottom of the ferris wheel is 8 feet above the ground. the ferris wheel broke down within the first revolution of the ride when michael was at the point (-21.57, -24.974). a. what is the measure of the angle (in radians) that has a vertex ( 0 , 0 ) and rays through the point ( 33 , 0 ) and (-21.57, -24.974)?
The arc length that Michael traveled is simply the radian measure multiplied by the radius, which is 30: 1.8832.30 = 56.496 feet.
The point (-9.22, -28.548) is indeed a point on the circle with center (0,0) and radius 30; so the given information is valid.
The reference angle for that point on the circle, measured to the "negative y axis" -- i.e., to the 9 o'clock position -- has a sine of 28.548/30 and a cosine of 9.22/30.
Using either inverse function shows the reference angle is 1.2584 radians.
The angle through which Michael travels in radians is π-1.2584 = 1.8832.
That is the answer to part (a): 1.8832 radians.
The arc length that Michael traveled is simply the radian measure multiplied by the radius, which is 30: 1.8832.30 = 56.496 feet.
To learn more about arc length, click here:
brainly.com/question/16403495
#SPJ4
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
what is the greatest of 27 , 18 , and 63 ?
the function for the graph is f(t)= -150t^2 + 120t
please help!!!
Answer:
see attached
Step-by-step explanation:
You want the graph of f(t) = -150t^2 + 120t with intercepts, vertex, axes, and f(2) marked.
GraphThe graph is shown in the attachment.
__
Additional comment
The equation factors as ...
f(t) = -30t(5t -4)
The zeros are values of x that make the factors zero: x=0, x=4/5. The vertex is halftway between, at x = 2/5. The value of the function there is ...
f(2/5) = -30(2/5)(5(2/5) -4) = (-60/5)(-2) = 24 . . . . . y-value of vertex
The value of the function at x=2 is found as ...
f(2) = -30(2)(5·2 -4) = -60(6) = -360
A Moving to another question will save this response. estion 18 A work system has five separate stations that have process times of \( 5,9,4,9 \), and 8 . What is the thoroughput? 9 18 26 35 A Moving
the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.
Thorough put is the amount of goods or services that are produced by a system, unit, or organization over a period.
To calculate thorough put, one must divide the total quantity of output by the time taken to generate the output.
Let's see the given problem below: A work system has five separate stations that have process times of \( 5,9,4,9 \), and 8 .
What is the thorough put? To begin with, we'll need to calculate the total processing time.
The processing times are: 5, 9, 4, 9, and 8. Summing these values up, we get 35.
Next, we'll divide the total processing time by the number of stations to get the average processing time.35 / 5 = 7
Finally, we will calculate the throughput as the reciprocal of the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.
Learn more about thorough put here:
https://brainly.com/question/29198827
#SPJ11
Write a congruence statement for
the two triangles shown below.
Answer: What are the two triangles' names? For example, if they are Triangle ABC and DEF, the congruence statement would be "ΔABC ≅ ΔDEF".
Step-by-step explanation: I explained it above.
8374274 x 345
What is the answer?
Answer:
2,889,124,530
Will (-2)^2 and -2^2 have the same solution? Why or why not?
Answer:
No
Step-by-step explanation:
because (-2)^2 is 4 and -2^2 is -4
Verify the equation: n(A∪B)=n(A)+n(B) For the given disjoint set A={a,e,i,o,u} and B={g,h,k,l,m}
This is true, we can verify that the equation n(A∪B)=n(A)+n(B) holds for the given disjoint sets A={a,e,i,o,u} and B={g,h,k,l,m}.
Since A and B are disjoint sets, meaning they have no common elements, we can say that A∩B=∅. Therefore, the equation n(A∪B)=n(A)+n(B) becomes:
n({a,e,i,o,u,g,h,k,l,m}) = n({a,e,i,o,u}) + n({g,h,k,l,m})
Counting the elements, we see that n({a,e,i,o,u,g,h,k,l,m})=10, n({a,e,i,o,u})=5, and n({g,h,k,l,m})=5.
Substituting these values back into the equation, we get:
10 = 5 + 5
Hi! To verify the equation n(A∪B) = n(A) + n(B) for the given disjoint sets A = {a, e, i, o, u} and B = {g, h, k, l, m}, we first need to find the union of sets A and B.
Since A and B are disjoint (meaning they have no elements in common), the union of A and B, denoted as A∪B, simply combines the elements of both sets. So, A∪B = {a, e, i, o, u, g, h, k, l, m}.
Now, let's find the number of elements (n) in each set:
n(A) = 5 (as there are 5 elements in set A)
n(B) = 5 (as there are 5 elements in set B)
n(A∪B) = 10 (as there are 10 elements in the union of A and B)
Now, we can verify the equation:
n(A∪B) = n(A) + n(B)
10 = 5 + 5
The equation holds true for the given disjoint sets A and B.
Learn more about disjoint sets here
https://brainly.com/question/28165517
#SPJ11
3. what is the probability of a penny, dime, and quarter all landing on talls if you know that the quarter and the penny landed on talls?
The probability of a penny, dime, and quarter all landing on tails, given that the quarter and the penny landed on tails, can be determined using conditional probability.
To find the probability, we need to consider the individual probabilities of each event. The probability of the quarter landing on tails is 1/2, as there are two equally likely outcomes (heads or tails). Similarly, the probability of the penny landing on tails is also 1/2.
Now, since these two events are independent, we can multiply their probabilities to find the probability of both the quarter and the penny landing on tails: (1/2) * (1/2) = 1/4.
However, the dime's outcome is not known. Assuming that the dime's landing is independent of the other two coins, the probability of the dime landing on tails is also 1/2.
Therefore, if the quarter and the penny have already landed on tails, and we are considering the dime separately, the probability of all three coins (penny, dime, and quarter) landing on tails is (1/4) * (1/2) = 1/8.
In summary, the probability of a penny, dime, and quarter all landing on tails, given that the quarter and the penny landed on tails, is 1/8.
Learn more about probability here:
https://brainly.com/question/32117953
#SPJ11
Most of the seniors at Roosevelt High School took a math class this year. The graph shows the breakdown: Find the number of degrees for each math class. State the class and the degrees. Show your work.
Answer:
Step-by-step explanation:
Since, sum of central angles of a circle = 360°
Therefore, sum of all central angles formed by each math class = 360°
And measure of angles formed by each class will be in the same proportion as the percentage of seniors in each class.
Geometry → 27% of 360° = 97.2°
Precalculus → 4% of 360° = 14.4°
Advanced algebra → 33% of 360° = 118.8°
Consumer math → 36% of 360° = 129.6°
Answer:
There are 360 degrees in a circle so I need to do the percentage of 360
Geometry: 27% of 360 = 97.2 °
Consumer Math: 36% of 360 = 129.6 °
Advanced Algebra: 33% of 360 = 118.8 °
Precalculus: 4% of 360 = 14.4 °
a) The sum of the three dimensions of a cuboid is 48 cm and the ratio among the lengths of its dimensions is 5: 4:3, Find its area. (grade 6)
Answer:
588 cm
Step-by-step explanation:
what is the probability of an event that is​ impossible? suppose that a probability is approximated to be zero based on empirical results. does this mean that the event is​ impossible?
An event that is defined as impossible has a probability of zero. However, it is important to note that an event with an empirically approximated probability of zero does not necessarily mean it is impossible.
Empirical results are based on observations and data, which may be limited in scope or subject to measurement errors. Therefore, a probability approximation of zero based on empirical results does not provide absolute certainty that the event is impossible.
In probability theory, an event that is classified as impossible is one that has a probability of zero. This means that the event cannot occur under any circumstances. For example, if you roll a fair six-sided die and the event is defined as rolling a seven, which is not possible, then the probability of rolling a seven is zero.
On the other hand, when empirical results are used to approximate probabilities, it is crucial to consider the limitations of the data and the possibility of measurement errors. If an event has been observed to have a probability of zero based on empirical data, it means that it has not been observed to occur within the scope of the data collected.
However, it does not definitively prove that the event is impossible. There might be factors or conditions beyond the scope of the data that could lead to the occurrence of the event. Therefore, while an empirical approximation of zero probability suggests extreme unlikelihood, it does not guarantee that the event is impossible.
Learn more about Probability here :
brainly.com/question/11034287
#SPJ11
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
biologists stocked a lake with fish and estimated the carrying capacity to be . the number of fish grew to 1100 in the first year. round to 4 decimal places. a) find an equation for the fish population, , after years.
An equation for the fish population, after years is P(t) ≈ 8000e-0.664t ± 0.00005
The equation for the fish population in a stocked lake can be determined using exponential growth.
The formula for exponential growth is
P(t) = \(P_0\)ert
where P(t) is the population after time t,
\(P_0\) is the initial population,
r is the rate of growth, and
e is the mathematical constant approximately equal to 2.71828.
The carrying capacity, K, is the maximum population that can be supported by the environment, and it is a limiting factor for population growth. When the population reaches K, the growth rate slows down until it reaches a point of equilibrium.
The carrying capacity can be estimated using a variety of methods, including the logistic model, which incorporates the carrying capacity into the equation for population growth.
However, for this problem, we are given an estimate of the carrying capacity, which we will use in the exponential growth equation.
We are also given the initial population,
\(P_0\) = 1100, and we are asked to find an equation for the fish population, P(t), after t years.
The rate of growth, r, can be determined using the following formula:
r = ln(P/K) / t
where ln is the natural logarithm, and t is the time it takes to reach the carrying capacity, K.
Since we don't have an exact value for K, we will use the estimated value of 8000.
Thus,
r = ln(1100/8000) / 1
r ≈ -0.664
The negative sign indicates that the population is decreasing, since the growth rate is negative.
Therefore, the equation for the fish population after t years is:
P(t) = 8000e-0.664t
To round to 4 decimal places, we can use the formula:
P(t) ≈ 8000e-0.664t ± 0.00005
For similar question on equation
https://brainly.com/question/2972832
#SPJ11
if i multiply 60000 by 40 what will i get
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2400000
You can think of this as 6 x 4 = 24 then because there are 5 zeros in the equation you just have to add 5 zeros to the end!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
form three equivalent fractions for 3/4 by multiplying 5/5,7/7 and 3/3 (I don't understand)
explanation please! F(x) = 0 X<0
0.05 0≤x<1
0.25 1
0.31 2
0.53 3
0.89 4
0.95 5
1 6≤x
Calculate the following probabilities directly from the cdf:
(a) p(2), that is, P(X = 2)
(b) P(X >3)
(c) P(2≤ X ≤5)
(d) P(2
The probabilities directly from the cumulative distribution function is
(a) P(X = 2) = 0.22
(b) P(X > 3) = 0.11
(c) P(2 ≤ X ≤ 5) = 0.42
(d) P(2 < X ≤ 5) = 0.64
The probabilities directly from the cumulative distribution function (CDF) provided, we can use the following information:
F(x) = 0 for x < 0
F(x) = 0.05 for 0 ≤ x < 1
F(x) = 0.31 for 1 ≤ x < 2
F(x) = 0.53 for 2 ≤ x < 3
F(x) = 0.89 for 3 ≤ x < 4
F(x) = 0.95 for 4 ≤ x < 5
F(x) = 1 for x ≥ 6
Now let's calculate the probabilities:
(a) P(X = 2) can be calculated as the difference in cumulative probabilities between 2 and the previous value (1):
P(X = 2) = F(2) - F(1) = 0.53 - 0.31 = 0.22
(b) P(X > 3) can be calculated as 1 minus the cumulative probability up to 3:
P(X > 3) = 1 - F(3) = 1 - 0.89 = 0.11
(c) P(2 ≤ X ≤ 5) can be calculated as the difference in cumulative probabilities between 5 and 2:
P(2 ≤ X ≤ 5) = F(5) - F(2) = 0.95 - 0.53 = 0.42
(d) P(2 < X ≤ 5) can be calculated as the difference in cumulative probabilities between 5 and 2, excluding the probability at 2:
P(2 < X ≤ 5) = F(5) - F(2) + F(2) - F(1) = 0.95 - 0.53 + 0.53 - 0.31 = 0.64
So the calculated probabilities are:
(a) P(X = 2) = 0.22
(b) P(X > 3) = 0.11
(c) P(2 ≤ X ≤ 5) = 0.42
(d) P(2 < X ≤ 5) = 0.64
To know more about probabilities click here :
https://brainly.com/question/31257837
#SPJ4
[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
To learn more about matrix visit:
brainly.com/question/29239316
#SPJ11
You invite your best friend Sheila out for a picnic on Thursday. Sheila tells you "If it rains, there is a 20% probability
that I will come, but if it's sunny, there is an 80% probability that I will come." You check the weather and see that
there is a 40% chance of rain for that day. What is the overall probability that Sheila will attend your picnic? Explain
how you found your answer.
Answer: 56%
Probably that it will rain and she goes + probably that it will be sunny and she goes
= 0.4 * 0.2 + 0.6*0.8
= 0.08 + 0.48
= 0.56
56% chance
To determine chilling hours for an area count the cumulative number of hours between November 1st and February 15th that the air temperatures is between 32 and 45 degrees F. Group of answer choices True False
The statement "To determine chilling hours for an area, count the cumulative number of hours between November 1st and February 15th that the air temperature is between 32 and 45 degrees F" is true.
In horticulture, chilling hours are the number of hours in which the air temperature is between 32 and 45 degrees Fahrenheit and are commonly used in fruit crop production to determine the required winter rest period. It is calculated between November 1st and February 15th since these months are considered the winter season and are known for their cool temperatures.
Chilling hours are an essential factor in determining the growth, development, and yield of fruit trees, which require a particular amount of chilling hours to flower and bear fruit.
To learn more about chilling visit;
https://brainly.com/question/30402301
#SPJ11