5 dollars equals 500 pennies, once 5 dollars times 100 equals 500. What's 5 dollars in cents? 5 dollars equals 500 cents, once 5 dollars times 100 equals 500.
in nine bernoulli trials, what is the probability that there will be more than the expected number of failures?
The probability of having more than the expected number of failures (i.e., at least five failures) in a set of nine Bernoulli trials is 0.2461, assuming that the probability of failure is 0.5.
In the field of probability, it is essential to understand the expected number of successes or failures in a given set of trials. However, what happens when we observe more or fewer outcomes than expected? In this scenario, we need to calculate the probability of observing a specific number of failures in a set of Bernoulli trials.
Let's assume that the probability of failure is denoted by "p," and the probability of success is denoted by "q." Thus, the expected number of failures in nine Bernoulli trials is given by:
E(X) = np
where n is the number of trials, and p is the probability of failure. In this case, n = 9, and we need to determine the probability of having more than the expected number of failures. This means we are interested in finding the probability of observing at least five failures since the expected number of failures is given by:
E(X) = 9p
If we assume that the probability of failure is 0.5 (i.e., p = 0.5), then the expected number of failures is 4.5 (i.e., E(X) = 9 * 0.5 = 4.5). Therefore, we are interested in finding the probability of observing at least five failures in nine Bernoulli trials.
To calculate this probability, we need to use the binomial distribution formula, which is given by:
[tex]P(X = k) = (^n_k) \times p^k \times q^{n-k}[/tex]
where P(X = k) is the probability of observing k failures in n trials, (n choose k) is the binomial coefficient, which is calculated as n! / (k! (n-k)!), p is the probability of failure, q is the probability of success (i.e., q = 1 - p), and k is the number of failures we are interested in observing.
Using this formula, we can calculate the probability of observing at least five failures in nine Bernoulli trials as follows:
P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= (9 choose 5) x 0.5⁵ x 0.5⁴ + (9 choose 6) x 0.5⁶ x 0.5³ + (9 choose 7) x 0.5⁷ x 0.5² + (9 choose 8) x 0.5⁸ x 0.5¹ + (9 choose 9) x 0.5⁹ x 0.5⁰
= 0.2461
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Mari bought 6 packets of tomato seeds. Each packet contained 24 seeds. She planted 1 packet of the seeds, and 15 seeds sprouted.Which statement about the seeds in the remaining packets is best supported by this information?
Answer:
Mari bought 6 packages of tomato seeds and each package contains 24 seeds then
Seeds = (6) * (24) = 144.
Mari has a total of 144 seeds.
Mari planted a pack of seeds and has 15 germinated seeds.
144-24-15 = 105
Mari then has 105 seeds left.
Answer
C At least 100 but no more than 120 seeds will sprout
The statement about the seeds in the remaining packets is best supported by this information is option C: At least 100 but no more than 120 seeds will sprout
What is the seeds about?Mari bought 6 packages of tomato seeds and each package contains 24 seeds so:
Seeds = 6 x 24 = 144.
Note that Mari has a total of 144 seeds. In the question, Mari planted a pack of seeds and has 15 germinated seeds.
Hence:
144-24-15 = 105
Mari then has 105 seeds left.
Hence option c: At least 100 but no more than 120 seeds will sprout, is correct.
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See full text below
Mari bought 6 packets of tomato seeds. Each
packet contained 24 seeds. She planted 1 packet
of the seeds, and 15 seeds sprouted.
Which statement about the seeds in the remaining
packets is best supported by this information?
A No more than 50 sees will sprout
B Between 50 and 100 seeds will sprout
C At least 100 but no more than 120 seeds will
sprout
D All 120 seeds will sprout
Expand and simplify (2x^2+3)(4x+5)-8x(x^2-2)
Answer:
[tex]10x^2+28x+15[/tex]
Step-by-step explanation:
[tex](2x^2+3)(4x+5)-8x(x^2-2)\\\\=(2x^2)(4x)+(2x^2)(5)+(3)(4x)+(3)(5)-8x^3+16x\\\\=8x^3+10x^2+12x+15-8x^3+16x\\\\=10x^2+28x+15[/tex]
I'm stuck on this question and I need help
factor out the greatest common factor from 6x^4 + 8x^3 PLEASE HELP
Answer: 2x^3(3x+4)
Step-by-step explanation: 2x3x^4+2^3xx^
Will has 7/8 gallon of cold water in the refrigerator. During the day, he drinks 3/4 gallon of the water.
How much cold water does he have left at the end of the day?
A. 1/8 gallon
B. 1/4 gallon
C. 1/2 gallon
D. 1 gallon
Answer: 1/8
Step-by-step explanation: 3/4 is the same as 6/8
7/8- 6/8 = 1/8
what happens to the equation of f(x) = 1/x, if it's translated 4 units up and to the right 3 units
the prices of houses in the us is strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. a real estate agent takes a random sample of 30 houses and records the mean price. what is the best description for the sampling distribution? skewed to the right with a mean of 383,500 and a standard deviation of 52,823 skewed to the right with a mean of 383,500 and a standard deviation of 289,321 approximately normal with a mean of 383,500 and a standard deviation of 52,823 approximately normal with a mean of 383,500 and a standard deviation of 289,321
The sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823 is the correct description among the following given for sampling distribution.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
This can be calculated as:
Standard Deviation of Sampling Distribution =
(Standard Deviation of Population) / (√Number of Samples)
= $289,321 / √30
= $289,321 / 5.4772
= $52.823
Therefore, the sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823.
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Find the value of x.
34°
4x²
Answer:
give the diagram please
Oliver tries to cut a piece of metal 30 centimeters long the price of metal ends up being 29. 4 centimeters long what is the percent error
The percent error in the specified situation is 2%.
The actual length of the metal is 30 centimeters, and the measured length is 29.4 centimeters. The difference between the actual and measured lengths is:
30 - 29.4 = 0.6 centimeters
The absolute error is the magnitude of this difference:
|0.6| = 0.6 centimeters
To find the percent error, we divide the absolute error by the actual value and multiply by 100:
percent error = (absolute error / actual value) x 100%
= (0.6 / 30) x 100%
= 2%
Therefore, the percent error is 2%.
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Jody is picking a movie to watch this evening.
Of the movies in her cabinet, 9 are romantic
comedies. She will pick one movie at random.
If the probability of the selected movie being
a romantic comedy is 25%, how many movies
are on the shelf?
The number of movies on the shelf is given as follows:
36 movies.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For this problem, the parameters are given as follows:
Probability of 25% = 1/4.Number of desired outcomes is of 9.Hence the total number of outcomes, representing the number of movies on the shelf, is obtained as follows:
1/4 = 9/x
x = 9 x 4
x = 36 movies.
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what is 10000 = 8000(1 + .04t) interest is simple 4%. how long would it take for 8000 to grow to 10000
The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
The equation is given below.
10000 = 8000(1 + .04t)
Where 't' represents the number of years. Then solve the equation for 't', then we have
10000 = 8000(1 + 0.04t)
1.25 = 1 + 0.04t
0.04t = 0.25
t = 0.25 / 0.04
t = 6.25 years
The number of years to grow the amount from $8,000 to $10,000 will be 6.25 years.
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college gpa and salary. do students with higher college grade point averages (gpas) earn more than those graduates with lower gpas (civicscience)? consider the college gpa and salary data (10 years after graduation) provided in the file gpasalary. a. develop a scatter diagram for these data with college gpa as the independent variable. what does the scatter diagram indicate about the relationship between the two variables? b. use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college gpa. c. at the .05 level of significance, does there appear to be a significant statistical relationship between the two variables?
The scatter diagram for the data with college GPA as the independent variable is illustrated as follows.
In this case, we have a dataset that includes the GPA and salary of graduates ten years after graduation. We can use GPA as the independent variable (or x-axis) and salary as the dependent variable (or y-axis). We can then plot each data point on the graph, where the x-coordinate represents the GPA and the y-coordinate represents the salary.
To create the scatter plot, we first need to organize the data into pairs of GPA and salary values. For example, the first pair is (2.22, 72,000), where 2.22 is the GPA and 72,000 is the salary. We can then plot this point on the graph by locating 2.22 on the x-axis and 72,000 on the y-axis.
We repeat this process for each data point, and then connect the points with a line or a curve. The resulting scatter plot shows us the overall pattern of the relationship between GPA and salary. If there is a positive relationship between the two variables, we would expect to see the points cluster around a line that slopes upwards from left to right.
Overall, the scatter plot provides a useful visual tool for exploring the relationship between college GPA and salary. While it suggests that there is a positive relationship between the two variables, it also reminds us that there are many other factors that contribute to earnings.
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Complete Question:
Do students with higher college grade point averages (GPs) earn more than those graduates with lower GPAs?
Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary (S)
72,000 2.22
48,000 2.29
72,000 2.57
64,000 2.59
86,000 2.77
98,000 3.12
133,000 3.35
130,000 2.85
157,000 3.66
162,000 3.68
Develop a scatter diagram for these data with college GPA as the independent variable
When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 933 peas, with 729 of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a 3/4 probability that a pea will have a red flower, we would expect that 699.75 (or about 700) of the peas would have red flowers, so the result of 729 peas with red flowers is more than expected.
. If the scientist's assumed probability is correct, find the probability of getting 729 or more peas with red flowers.
b. Is 729 peas with red flowers significantly high?
c. What do these results suggest about the scientist's assumption that 3/4 of peas will have red flowers
The solution to the statistics have been given below
How to solve for the probabilityThe probability = 3 / 4 = 0.75
n = 933
x≥ 729
np = 0.75 * 933
= 699.75
√933 * 0.75 * 0.25
= √174.9375
= 13.23
using the continuity correction we have
729 - 0.5
= 728.5 - 699.75 / 13.23
= 2.17
The p value is 0.015003.
there is a 1.5% chance of getting 729 peas with red flowers
b. given that Z is greater than 2, this can be said to be high
c. These results suggest that the scientist maybe wrong in his assumption
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NEED AN ANSWER QUICKLY PLEASE I WILL GIVE BRAININEST
Hi. I need 8 expressions that are equivalent to 31(2760q - d)
Answer: is 1 of them 31(2760)q -d)
Which of the following statements about the product of 3–√2 and 75−−√ is true?
its b is true I just took it
The number of students enrolled at a college 18,000 and grows 5% each year. What is the initial amount
Answer:
900
Step-by-step explanation:
5% of 18,000
∠A and ∠ B are complementary angles. If m ∠ A = ( 2 x + 5 ) and m ∠ B = ( 4 x + 19 ) , then find the measure of ∠ A
The measure of m∠A is 27.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m∠A = (2x + 5) and m∠B = (4x + 19)
∠A and ∠ B are complementary angles.
So,
Solve for x.
(2x + 5) + (4x + 19) = 90
2x + 5 + 4x + 19 = 90
6x + 24 = 90
6x = 90 - 24
6x = 66
x = 11
Now,
m∠A.
= (2x + 5)
= 2 x 11 + 5
= 22 + 5
= 27
Thus,
m∠A = 27
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Can you please find the area and perimeter
The area and perimeter of the figures are( 15a³b⁴ and 10a²b⁴ + 6ab²), (6m³n² and 4m² + 10mn²) and (8m³n and 4√[m(m+2y²)] + 8mn)
What is the area and perimeter of the figures1.
The area of the rectangle can be calculated using the formula;
A = l * w
A = 5a²b⁴ * 3ab²
A = 15a³b⁴
The perimeter of the rectangle is
P = 2(l + w)
P = 2[(5a²b⁴) + (3ab²)
P = 10a²b⁴ + 6ab²
2.
The area of a triangle is given by
A = 1/2 b * h
A = 0.5 * 4m² * 3mn²
A = 6m³n²
The perimeter of the triangle is calculated as
P = 4m² + 7mn² + 3mn²
P = 4m² + 10mn²
3.
The area of the triangle is given as;
A = 1/2 * b * h
A = 0.5 * 4mn * 4m²
A = 8m³n
The perimeter of the triangle is
Using Pythagoras theorem to find the hypothenuse side
The third side is 2√[m(m + 2n²)]
The perimeter of the triangle is = 4√[m(m+2y²)] + 8mn
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A Girl Scout is selling cookies to raise money for her troop. She is given a certain number of cookies to sell and is tracking the number of boxes remaining each
day. The table shows the relationship between the number of days she has been selling cookies and the total number of boxes remaining.
Girl Scout Cookie Fundraiser
Time (in days) 1 3 4 7
Number of Boxes 25 21 19 13
Which of the following graphs shows the relationship given in the table?
The corresponding graph for the given data is a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points (0, 27), (1,25), (3,21), (4,19) and (7,13)
What is a linear function?
A linear function is a polynomial function whose degree is utmost zero or one. It is represented as a straight line in the graph.
A Girl scout is selling cookies to raise money for her troop.
She is given a certain number of cookies to sell and is tracking the number of boxes remaining each day.
This result is shown in the table:
Time(in days) Number of boxes
1 25
3 21
4 19
7 13
The graph for the given data is attached below.
This forms a straight line.
By critically observing the graph and relationship between the time and number of boxes, we determine a function for the graph.
That is y=-2x+27.
Hence, the corresponding graph for the given data is a coordinate plane with the x axis labeled time in days and the y axis labeled number of boxes, with a line that passes through the points (0, 27), (1,25), (3,21), (4,19) and (7,13)
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Answer: Its D.
Step-by-step explanation:
What number is 30% less than 40?
Answer: 30% less than 40 is 28
Step-by-step explanation:
Answer:
The answer is 28.
Step-by-step explanation:
I'm bad at proving stuff but that's the answer I promise. (quick tip, you are more likely to get answers if you give more points. :D)
a student has an average of 85% on the unit tests, 83% on the final test, 89% on the class project, and 91% on homework submissions. if the unit tests count for 30% of the final grade, the final test counts for 40%, the class project counts for 20%, and homework submissions count for 10%, what is the weighted average grade of the student?
The weighted average grade of the student is 85.6% calculated by multiplying the weight of each category with the average score of that category, and summing up the results.
To find the weighted average grade of the student, we can use the following formula:
Weighted average = (weight of category 1 x average of category 1) + (weight of category 2 x average of category 2) + ... + (weight of category n x average of category n)
where n is the number of categories being considered.
Using this formula and the information given in the question, we can calculate the weighted average as follows:
Weighted average = (0.30 x 85%) + (0.40 x 83%) + (0.20 x 89%) + (0.10 x 91%)
= 25.5% + 33.2% + 17.8% + 9.1%
= 85.6%
Therefore,
The weighted average grade of the student is 85.6%.
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The cost for renting a car is $75 plus $0.30 for every mile driven. Which equation,
written in function notation, represents this situation where R represents the total
cost for the rental and d represents miles driven?
R(d) = 0.30d + 75
R = 75d + 0.30
R(d) = 75d + 0.30
R = 75.30
Answer:R(d)=0.30d+75
Step-by-step explanation:
Note: This equation, as requested, only shows the cost of
rental on a daily basis. In order to solve for more than 1
day the equation should be: Cost = .3r+ 100d or something
similar... with r representing miles driven, d representing
total number of days for the rental.
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
Answer:
56 crickets
Step-by-step explanation:
please help with q26 and show working
Answer:
13 square units
Step-by-step explanation:
The composite figure can be decomposed into
2 semicircles each of diameter 3
1 rectangle of height 1 and length 5
1 square of side 1
Radius of each semicircle = 3/2 = 1.5 units
Area of a semicircle of radius r = 1/2 area of circle of radius r = 1/2 x π x r²
Two semicircles make a circle
So area of the two semicircles = 2 x (1/2 x π x r²) = πr² = π x 1.5²
= 2.25π = 7.07
= 7 square units rounded to nearest whole number
Area of the rectangle = width x length = 1 x 5 = 5 square units
Area of square of side 1 = 1 x 1 = 1 square unit
Total area of shaded area = 7 + 5 + 1 = 13 square units
Noreen can walk 1/3 mile in 12 minutes. What is her average speed in miles per hour?
Answer:4 mph
Step-by-step explanation:
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
x+y=-4
-x-y=4
The following system of equations has no solutions, the correct option is A.
How to find the solution to the given system of equation?For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
We have given that;
system of equations are
x+y=-4.....1
-x-y=4......2
Now,
Rearranging the equation 2
-4=x+y
Its equal to equation 1
Therefore, the system of equations will have no solution.
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A welder has two pieces of half-inch pipe, one of length 23 ft and another of length 3 ft. What is the total length of the two welded together?
The total length of the two welded together is 26ft.
What is addition and subtraction?The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).
Given that the length of the two pieces of the pipe is 23ft and 3ft.
The total length of the two welded together is:
23 + 3 = 26ft
Hence, the total length of the two welded together is 26ft.
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REEEEEEEEEEEEEEEEEEEEEEEEE
Answer: look at the image for the answer and solution
Step-by-step explanation:
Forty-two percent of what number is 168? Responses
40
70.6
400
705.6
Answer:
Your answer is: C) 400
Step-by-step explanation:
