The final answer will depend on the specific value of p.
Let's say we need to choose a number of strawberries. Then, using the binomial distribution formula, it is possible to determine the likelihood that there will be exactly 2 rotting strawberries among them:
P(exactly two spoiled strawberries) i= (n choose 2) * p^2 * (1-p)^(n-2)
where p is the probability of each strawberry being rotten.
By setting this to 2/35 and figuring out n, we get at:
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
(2/35) / p^2 = (n choose 2) * (1-p)^(n-2)
It should be noted that p's value is unknown and would need to be determined by estimation or historical data. The final answer will depend on the specific value of p.
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If you were considering buying a stock, which time frame would you use to analyze its price history (1-day, 5-day, 1-month, etc)? Why?
Help me out please.
When considering buying a stock then the best time frame to use to analyze the price history depends on your investment goals but on average, 1 year to 5 years.
How to determine a time frame for analysis ?The time frame for analyzing a stock's price history depends on the investment horizon and the goals of the investor. If you are a short-term trader who seeks to make quick profits, you might use a 1-day or 5-day time frame to analyze the stock's price movements.
Medium-term investor with a horizon of a few months to a year, should use a 1-month or 3-month time frame. For long-term investors with a horizon of several years, use a 1-year or even longer time frame, such as 5 years or 10 years.
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Find the area of this circle
Answer:
153.86
Explanation:
using 3.14 as pi and 7 as radius
type (3.14)7^2 into calculator
[tex]\frac{10}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}[/tex]
The value of the rationalization is 5√2
What are surds?Surds are described as the nth root of a number, say x and a number r which, when raised to the power n
Given that;
n is a positive integer or the degree of the root.
It is also seen as an expression that includes a square root, a cube root or other roots.
They are used to write irrational numbers only.
Given the surds;
10/√2 × √2/ √2
Multiply the values
10√2/2
Divide the values
5√2
Hence, the value is 5√2
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help! My brain is really not working but I just cant figure this out:
Find x
Provide working out in order to get brainiest
Answer:
7.66
Step-by-step explanation:
Properties of triangle
A sphere has a volume of 2304πft3. What is the radius of the sphere?
The radius of the sphere is 42 feet.
The correct option is D.
What is volume?Space occupied by an object in three dimensional space is called as volume of an object. In simple words space is taken by object.
Given:
A sphere has a volume of 2304π cubic feet.
The volume of sphere = 4/3 π r³
4/3 π r³ = 2304π
r³ = 1728
r = 41.6
r ≈ 42 feet.
Thererfore, the radius is 42 feet.
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What value of x makes the equation true? 1/2(4x−5)+5/2=10 Drag and drop the correct number in the box. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x = Response area
The value of 'x' in the expression (1/2)(4x - 5) + 5/2 = 10 is, x = 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression (1/2)(4x - 5) + 5/2 = 10.
(1/2)(4x - 5) = 10 - 5/2.
(1/2)(4x - 5) = (20 - 5)/2.
(1/2)(4x - 5) = 15/2. ('2' on both sides of the denominator cancels)
4x - 5 = 15.
4x = 20.
x = 5.
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What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The volume of the given cylinder would be = 4300 in³
How to calculate the volume of a cylinder?The formula that can be used to calculate the volume of a cylinder = V= πr²h
where,
π = 3.14
r = 14
h = 7
volume = 3.14× 14² × 7
= 3.14× 196× 7
= 4308.08
= 4300 in³
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A certain colony of bacteria began with one cell and the population doubled ever20 minutes what was the population of the colony after 2 hours
Tthe population of the colony after 2 hours is 64a
What was the population of the colony after 2 hoursFrom the question, we have the following parameters that can be used in our computation:
Rate = doubles every 20 minutes
Represent the initial population with a
So, we have the following representation
f(t) = a(2)^t
Where t is the number of 20 minutes in the time
The time is given as 2 hours
So, we have
t = 2 hours/20 minutes
Evaluate
t = 6
The function becomes
f(t) = a(2)^6
Evaluate
f(t) = 64a
hence, the population is 64a
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one inch represents 2,000 feet is what type of scale? group of answer choices verbal scale graphical scale fractional scale
'One inch represents 2,000 feet' is a verbal type scale.
The link between a length unit on a map and its corresponding length on the ground is known as the map scale. It will be beneficial for you to carefully study this section because we will use map scale principles throughout the course.
We can use three distinct scales to relate a map to the ground:
verbal scalegraphic/ bar scalerepresentative fraction/ ratio scale'One inch represents 2,000 feet' is an example of a Verbal scale. The relationship between a map distance and a ground distance is expressed verbally using a verbal scale.
Here, it is inferred that one inch on the map corresponds to 2000 feet on the ground. Popular atlases and maps frequently use verbal scales.
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PLEASE HELP EASY MATH
The length PR is given as follows:
PR = 337.75 ft.
What are similar triangles?Similar triangles share these two features:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The similar triangles for this problem are given as follows:
PRE and POC.
Hence the equivalent side lengths are given as follows:
PR = x and 165 ft.x + 125 ft and 255 ft.Then the proportional relationship among the equivalent side lengths is given as follows:
x/165 = (x + 125)/255.
Applying cross multiplication, the length PR, represented by x, is obtained as follows:
255x = 165(x + 125).
225x = 165x + 20625
60x = 20265
x = 20265/60
x = 337.75 ft.
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Four boys have heights of 155155 centimeters, 156156 centimeters, 158158 centimeters, and 162162 centimeters.
What is the mean height of the four boys?
The mean height of the four boys is 157657.75 centimeters.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given, Four boys have heights of 155155cm, 156156cm, 158158cm, and 162162cm.
Therefore, The mean height of the boys is the sum of the heights of boys divided by the total number of boys which is,
= (155155 + 156156 + 158158 + 162162)/4.
= 630631/4.
= 157657.75 cm.
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A carpenter charges his clients a rate of €30 an hour, plus a single €40 fee
for each job. Express the relationship between time spent on a job and the
fee charged to the client.
a Express the relation using function notation
Let's call the number of hours spent on a job as "h". Then, the fee charged to the client can be represented as a function of "h" as follows:
f(h) = 30h + 40
This means that for any value of "h" (representing the number of hours spent on a job), the function f(h) gives the corresponding fee charged to the client.
What is a function notation?Function notation is a mathematical notation used to express a mathematical function, which assigns a unique output to each input of a set. The function is represented by a symbol, usually a letter (such as f or g), followed by a variable in parentheses.
For example, the function f(x) = x^2 assigns the value x^2 to the input x. The input is usually referred to as the argument of the function. The function notation is commonly used in calculus, algebra, and other branches of mathematics.
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Rewrite the following equation in slope-intercept form. 8x + 13y = -9
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Step-by-step explanation:
Rewrite the following equation in slope-intercept form. 8x + 13y = -9 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Slope intercept form mean to solve for y:
8x + 13y = - 9
subtract 8x from both sides:
8x + 13y - 8x = - 9 - 8x
13y = - 9 - 8x
rearrange right side:
13y = - 9 - 8x becomes:
13y = - 8x - 9
divide both sides by 13:
13y/13 = (- 8x - 9)/13
Answer: y = [tex]\frac{-8}{13} x-\frac{9}{13}[/tex]
5x - (x + 3) = 3(2 - 2x) + x
X=
Step-by-step explanation:
To find the value of x, we need to solve the equation:
5x - (x + 3) = 3(2 - 2x) + x
Expanding the right-side expression:
5x - (x + 3) = 6 - 6x + x
Combining like terms on both sides:
6x - 3 = 6 - 5x
Adding 5x and 3 to both sides:
11x = 9
Dividing both sides by 11:
x = 9/11
So the value of x is approximately 0.818181818.
Tell whether the point (-10,10) is on the graph of f(x) = |x|. If it is, give the coordinates of another point with the same y-value.
The coordinates of another point with the same y-value are (10, 10).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
f(x) = |x|
For (-10, 10)
i.e,
x = -10
f(-10) = |-10| = 10
So,
(-10, 10) is on the graph.
Now,
For x = 10,
f(10) = |10| = 10
This means,
(10, 10) is also on the graph.
We see that,
(-10, 10) and (10, 10) has the same y-value.
Thus,
The coordinates of another point are (10, 10).
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The bearing of a plane from an airport is 065°.
Calculate the bearing of the airport from the plane.
The bearing of the airport from the plane is calculated as; 245 degrees
How to calculate the bearing angle?The parameter given is that the bearing from the airport to the plane is 65 degrees.
From the the diagram I have attached, since the bearing from airport to plane is 65 degrees, we see that the bearing is calculated from North.
Thus, the 360° covering the North to the south in the clockwise direction is 180°
When the bearing required is from plane to bearing , the angle will be;
180 + 65 = 245 degrees
So the bearing from plane to airport will be = 245 degrees
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four teams a,b,c, and dcompete in a tournament and exactly one of them will win the tournament. teams aand bhave the same chance of winning the tournament. team cis twice as likely to win the tournament as team d. the probability that either team aor team cwins the tournament is 0.6. find the probabilities of each team winning the tournament.
The probability of each team winning the tournament is A= 0,2 B= 0,2 C= 0,4 D=0,2
We know that only one team can win, so the sum of each probability of winning is one
P(A)+P(B)+P(C)+P(D)=1
then we know that the probability of Team A and B are the same, so
P(A)=P(B)
And that the probability that either team A or team C wins the tournament is 0.6, so P(A)+Pc)= 0,6, then P(C)= 0.6-P(A)
Also, we know that team C is twice as likely to win the tournament as team D, so P(C)= 2 P(D) so P(D) = P(C)/2= (0.6-P(A))/2
Now if we use the first formula:
P(A)+P(B)+P(C)+P(D)=1
P(A)+P(A)+0.6-P(A)+(0.6-P(A))/2=1
0,5 P(A)+0.9=1
0,5 P(A)= 0,1
P(A)= 0,2
P(B)= 0,2
P(C)=0,4
P(D)=0,2
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a student has to take twelve hours of classes a week. due to her extracurricular activities, she must take at least three hours of classes on monday, at least two on thursday, and at least one on friday. (a) in how many ways can she do this? (b) in how many ways can she do this if there is only one class on tuesday that she may take?
The number of permutations for the remaining hours is 6 hours.
Permutation is a mathematical concept that refers to the arrangement of objects or elements in a specific order. It is used to find the number of possible combinations of a given set of elements.
Let's assume that she takes exactly three hours of classes on Monday, two on Thursday, and one on Friday. Now, we have three hours left for Tuesday, Wednesday, and the rest of the week.
To find the number of permutations for the remaining hours, we can use the permutation formula, which is:
P(n, r) = n! / (n-r)!
Where n is the total number of items and r is the number of items being selected. In this case, n = 3 (hours left for Tuesday, Wednesday, and the rest of the week) and r = 3 (hours being selected).
So, the number of permutations for the remaining hours is:
P(3, 3) = 3! / (3-3)! = 6
Now, we have found the number of permutations for the remaining hours.
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*find x
26x-4=15x+24
suppose that 90% of all batteries from a certain supplier have acceptable voltages. a certain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. among ten randomly selected flashlights, what is the probability that at least nine will work? what assumptions did you make in the course of answering the question posed?
Suppose that 90% of batteries that are supplied from the certain supplier have acceptable voltages, probability that among all the batteries supplied least nine will work is 26 and 0.3076 .
M: Math
P: Physics
S: Statistic
n(Math) = 24
n(Physics) = 29
Formula:
Putting the values, we get,
Thus, 26 students took statistic.
Probability is basically based on the possible chances or the chances of happening of something. The theoretical probability is a type of probability that is mainly based on the reason behind that probability. For example, if a coin is tossed, the theoretical probability or the outcome of getting a head will be ½.
Probability is the branch of mathematics that basically concern about the occurrence of a random event or the chances of favorable outcome and there are mainly four types of probability exist: classical, empirical, subjective and axiomatic.
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solve for y.
Assume the equation for y.
q•(a+y)=67y+93
y=
please help me!!
Answer:y
=
93
−
q
a
q
−
67
Step-by-step explanation:
There are 3 counters in a bag. One counter is red. One counter is green. One counter is blue. Mike takes at random a counter from the bag. He puts the counter back in the bag. Then Ellie takes at random a counter from the bag. The possible combinations are: RR, RG, RB, GR, GG, GB, BR, BG, BB. Find the probability that Mike takes a blue counter and then Ellie takes a green counter.
Answer:
[tex]\frac{1}{9}[/tex] or 11.11%
Step-by-step explanation:
P(A) = probability of an event
f = favored outcomes
N = number of total outcomes
[tex]P(A)=\frac{f}{N}[/tex]
In this equation there is one favored income, when the first counter is blue and the second one is green. There are also nine total outcomes. This means that the equation necessary is:
[tex]P(A)=\frac{1}{9}[/tex]
The probability that Mike takes a blue counter and then Ellie takes a green counter is [tex]\frac{1}{9}[/tex] or around 11.11%
the ratio of length to width f a rectangular garden is 6:7. if the permeter of the rectangle is 78 meters, what s the area of the garden in square meters
The area of the garden will be = 1512 square meters.
The formula for calculating the area of a rectangle.
Rectangle surface area. A = l × b.
Once the length and breadth of a rectangle are determined, the area is computed.
The area of a rectangle may be calculated by multiplying its length and width.
Let's assume the length of the garden is 6x meters and the width is 7x meters, where x is a positive value that we need to find.
From the given ratio, we have:
6x + 7x = 78
13x = 78
x = 6
So the length of the garden is 6 * 6 = 36 meters and the width is 7 * 6 = 42 meters.
The area of the garden can be calculated as: 36 * 42 = 1512 square meters.
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please help fill in each black so that the resulting statement is true.
Answer:
(x^2 + 4x) + (y^2 - 18 y) - 5, complete the square on on x by adding to both sides.
Step-by-step explanation:
Answer:
The 4th answer: ((x1+x2)/2 , (y1+y2)/2)
Step-by-step explanation:
To find the midpoint of a segment, you get the average of the x intercepts and y intercepts. So for the x-intercept, add the x-intercepts and divide by 2 and for the y-intercept, add the y-intercepts and divide by two.
((x1+x2)/2 , (y1+y2)/2)
math and verbal sat scores are each distributed normally with n(500,10000) what fraction of students scores above 700? above 550? between 400 and 550? below 400? below 550?
Above 700: 5%, Above 550: 34%, Between 400 and 550: 26%, Below 400: 16%, Below 550: 55%.
To calculate the fraction of students who scored above 700, we can use the z-score formula, which is (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. In this case, μ = 500 and σ = 100. Plugging in 700 for x, we get (700 - 500) / 100 = 2. This corresponds to a z-score of 2, which is .9772, meaning that 97.72% of the scores are below 700. This means that 5% are above 700. To calculate the fraction of students who scored above 550, we can use the same formula, but with 550 for x. This gives us (550 - 500) / 100 = .5, which corresponds to a z-score of .5, meaning that 84% of the scores are below 550. This means that 34% are above 550. To calculate the fraction of students who scored between 400 and 550, we can subtract the z-score of 400 from that of 550. This gives us .84 - .2 = .64, meaning that 64% of the scores are below 550. This means that 26% are between 400 and 550.
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PLEASE HELP!!!
for top box say A1 for bottom box say A2.
Part 1:
Domain = (-2, -1, 0, 2)
Range = (-4, -2, 2)
Part 2:
Domain = (-4, -2, 1, 4)
Range = (-2, 1, 4)
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Part 1:
From the function figure:
All the x values are domain and all the y values are codomain.
All the y values that are an image of an x value are called the range.
So,
Domain = (-2, -1, 0, 2)
Range = (-4, -2, 2)
Part 2:
From the table:
All the x values are domain and all the y values are range.
So,
Domain = (-4, -2, 1, 4)
Range = (-2, 1, 4)
Thus,
The domain and range are given above.
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The blues band, Jonny and the Silver Toads, charges $25 per ticket at their performances. Their next venue charges them $800 for use of the venue. Based on the inequality below, how many tickets, t, do they need to sell in order to profit at least $1,725?
If they want to make a profit of $1,725 or more, then they need to sell at least 101 tickets.
How many tickets do they need to sell?We know that each ticket costs $25, then if they sell t tickets the revenue is:
R(t) = 25t
We know that the band has a cost of $800, and they want to make a profit of at least $1,725, then we can write the inequality below:
25t - 800 ≥ 1,725
(remember that the profit is the difference between the revenue and the cost).
Now we can solve that for t.
25t ≥ 1,725 + 800
25t ≥ 2,525
t ≥ 2,525/25
t ≥ 101
They need to sell at least 101 tickets.
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Simplify the expression (64)2.
Answer:16
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
When dealing with those types of problems, that's just another way of saying it's multiplication.
(64)2=64×2
which in this case, if you multiply to those numbers
64×2
youll get 128
64×2=128
In ΔNOP, o = 92 cm, p = 23 cm and ∠N=138°. Find the area of ΔNOP, to the nearest square centimeter.
The area of triangle NOP is given as follows:
1416 cm².
How to obtain the area of the triangle?The area of a triangle, given two side lengths and the angle between them, is given by the multiplication of the side lengths and the sine of the angle between them.
The parameters for this problem are given as follows:
Side lengths of 92 cm and 23 cm.Angle between them of 138º.Hence the area of the triangle is given as follows:
A = 92 x 23 x sine of 138 degrees
A = 1416 cm².
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how many ways can a potential four-letter word, whether or not it has a meaning be created out of 10 available different letters
There are a total of 10 different combinations for each of the four-letter words.
If reiteration is permitted
There are 10 possible combinations for each of the four letters, making a total of 104 four-letter words.
If reiteration is prohibited
The first letter has 10 potential outcomes, followed by 9 for the second, 8 for the third, and 8 for the fourth, for a total of 10 * 9 * 8 * 7 outcomes.
If the first letter must be A, there is only one alternative for that letter and ten possibilities for each of the following three letters, for a total of 103.
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