a student did not study for a test, so he has no idea of the correct answers to 14 true/false questions. he decides to answer 7 true and 7 false. how many sequences of 7 true and 7 false answers are possible?
Answers
There are 14 questions out of which the student decided to answer 7 true and 7 false.-total sequences = 17297280
From the question, we have
There are 14 questions out of which the student decided to answer 7 true and 7 false.
Total sequences = P(14,7)
= 14!/7!
= 17297280
Probability:
Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.
To learn more about probability visit: https://brainly.com/question/11234923
#SPJ4
Related Questions
What are the smallest and greatest factors of 340?
Answers
Answer:
All Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170 and 340.
Prime Factors of 340: 2, 5, 17.
Prime Factorization of 340: 22 × 51 × 171
Sum of Factors of 340: 756.
Step-by-step explanation:
4) what is the stackelberg equilibrium if fuels-r-us chooses quantity first?.
Answers
In a Stackelberg duopoly, the first mover, in this case, Fuels-R-Us, chooses its quantity to maximize its profit, anticipating the reaction of the second mover. Let's assume that the second mover is named XYZ Energy.
Suppose Fuels-R-Us chooses its quantity q1, then XYZ Energy will choose its quantity q2 to maximize its profit, given the quantity chosen by Fuels-R-Us.
To find the Stackelberg equilibrium, we need to solve for both q1 and q2. This involves setting up and solving two profit-maximization problems.
To learn more about duopoly click here: brainly.com/question/27822788
#SPJ11
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I estimate that the probability of my getting married in the next 3 years is 0.7. math
Answers
The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.
As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.
In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.
It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the error. f(x) cos(x), a = 0, x = 0.1
Answers
The Taylor polynomial T₅(x) is 0.99500416 and by use the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.
What is Taylor Series?
The Taylor series or Taylor expansion of a function in mathematics is the infinite sum of terms represented in terms of the function's derivatives at one particular point. The function and the sum of its Taylor series are roughly equivalent for the majority of typical functions at this point.
Taylor series or Taylor expansion:
Infinity ∑ (n = 0) fⁿ(a)/n! (x - a)ⁿ
Where,
n! = factorial of n
a = real or complex number
fⁿ(a) = nth derivative of function f evaluated at the point a.
As given function is,
f(x) = cosx, a = 0, x = 0.1
Taylor polynomial of degree 'n' for f(x) center a,
Tₙ(x) = f(a) + f'(a)(x - a) + f''(a)/2 (x - a)² + f'''(a)/3 (x - a)³ + ......+ fⁿ⁻¹(a)/(n - 1)! (x - a)ⁿ⁻¹ + fⁿ(a)/n! (x - a)ⁿ
Evaluate values as follows:
f(x) = cosx ⇒ f(0) = 1
f'(x) = -sinx ⇒ f'(0) = 0
f''(x) = -cosx ⇒ f''(0) = -1
f'''(x) = sinx ⇒ f'''(0) = 0
f⁴(x) = cosx ⇒ f⁴(0) = 1
f⁵(x) = -sinx ⇒ f⁵(0) = 0
Substitute obtained values in Taylor series,
T₅(x) = 1 + (0) (x - 0) + (-1)/2 (x - 0)² + 0 + 1/24(x - 0)⁴ + 0
T₅(x) = 1 -1/2x² + 1/24x⁴
At x = 0.1
T₅(0.1) = 1 -1/2(0.1)² + 1/24(0.1)⁴
T₅(0.1) = 1 - 0.005 + 4.16 × 10⁻⁶
T₅(0.1) = 0.99500416
Hence, the Taylor polynomial T₅(x) is 0.99500416.
Evaluate the maximum possible size of the error:
cos(0.1) = 0.99999847
T₅(0.1) = 0.99500416
Icos(0.1) - T₅(0.1)I = 0.99999847 - 0.99500416
Icos(0.1) - T₅(0.1)I = 0.00499431
Icos(0.1) - T₅(0.1)I = 49943.1 × 10⁻⁷.
Hence, the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.
To learn more about Taylor polynomial from the given link.
https://brainly.com/question/2533683
#SPJ4
Of 800 people who visited the zoo on Monday 65 percent were children. How many visited the zoo on Monday?
Answers
Answer:
520 are kids and 280 are adults
Step-by-step explanation:
Answer:
\(\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}\)
if 800 people visit zoo
64% were children
so = 65/100 ×800
65×8=520
no of children =280
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
The managing partner of an advertising agency believes that his company's sales are related to the industry sales. He uses Microsoft Excel's Data Analysis tool to analyze the last 4 years of quarterly data (i.e., n 16) with the following results:
Regression Statistics
Multiple R 0.802
R Square 0.643
Adjusted R Square 0.618
Standard Error SYX 0.9224
Observations 16
Answers
There is a moderately strong positive correlation between the company's sales and industry sales.
The statistical results from the regression analysis indicate that there is a multiple R value of 0.802. This value represents the correlation coefficient, which measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient suggests a moderately strong positive correlation between the company's sales and industry sales. Additionally, the R-squared value is 0.643, which indicates that approximately 64.3% of the variability in the company's sales can be explained by the variability in industry sales. This suggests that industry sales have a significant influence on the company's sales performance. Furthermore, the adjusted R-squared value is 0.618, which takes into account the number of variables and observations in the regression analysis. It provides a more accurate measure of the model's goodness of fit. Finally, the standard error SYX is 0.9224, which represents the average distance between the actual company sales data and the predicted values based on the regression model. A lower standard error indicates a better fit of the model to the data. Overall, based on the given statistics, it can be concluded that there is a moderately strong positive correlation between the company's sales and industry sales, and industry sales significantly influence the company's sales performance.
Learn more about coefficients here: brainly.com/question/13431100
#SPJ11
A teacher asks students to list the math lessons they learned on nine random school days in the past month. She evaluates the students’ performance on this assignment to get a general picture of how well students are taking notes. This teacher’s method is an example of.
Answers
Answer:
Simple random sampling
Step-by-step explanation:
Hope this work :)
Answer:
B) Simple random sampling
Step-by-step explanation:
Correct on Edge22
Ms. Galindo’s class has adopted two equal sections of a highway to keep clean. The combined length of the two sections is
6/8
of a mile. How long is each section?
Answers
Each section of a highway has length of 1.5 miles.
In this question, Ms. Galindo’s class has adopted two equal sections of a highway to keep clean.
We need to find the length of each section.
Let each section measures x mile.
The combined length of the two sections is 6/8 of a mile.
So, we get an equation x + x = 6/8
We solve above equation to find the value of x.
2x = 6/8
x = (6/8) / 2
x = 6/4
x = 1.5
Therefore, each section of a highway has length of 1.5 miles.
Learn more about an equation here:
https://brainly.com/question/649785
#SPJ1
each of cats has fleas. if two cats (and their fleas) are removed, and three fleas are removed from each remaining cat, the total number of fleas remaining would be half the original total number of fleas. what is the value of ?
Answers
1 is the value of cat in linear equation.
What is an explanation of a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.number of cats = n
number of fleas per cat = 2n
total number of fleas = (number of fleas per cat) * (number of cats) = 2n * n = 2n2
If we take the total number of fleas, subtract the fleas of two cats, then subtract 3 for every remaining cat, we get half the total number of fleas.
(total number of fleas) - 2(number of fleas per cat) - 3(n - 2) = (total number of fleas)/2
2n2 - 2(2n) - 3(n - 2) = (2n2)/2
2n2 - 4n - 3n + 6 = n2
Subtract n2 from both sides and combine like terms.
n2 - 7n + 6 = 0
Factor the left side
(n - 6)(n - 1) = 0
n = 6 or n = 1
n must be 6 because we can't remove 2 cats if there is only 1 cat to begin with.
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
The complete question is -
Each of n cats has 2n fleas. If two cats (and their fleas) are removed, and three fleas are removed from each remaining cat, the total number of fleas remaining would be half the original total number of fleas. What is the value of n?
a sample of provided a sample mean and a sample standard deviation . a. compute the value of the test statistic (to decimals). b. use the distribution table (table 2 in appendix b) to compute a range for the -value. the -value is between 0.01 and 0.025 c. at , what is your conclusion? reject null hypothesis . d. what is the rejection rule using the critical value? (use .)
Answers
The test statistic for the given hypothesis test is 2.31, indicating a significant difference between the sample mean and the hypothesized mean. The p-value is less than 0.025, and at a significance level of 0.05, the null hypothesis is rejected, concluding that the true population mean is greater than 12. The rejection rule using the critical value is to reject the null hypothesis if the test statistic is greater than 1.645.
To compute the test statistic, we first need to calculate the standard er ror of the mean:
SE = /sqrt(n) = 4.32/sqrt(25) = 0.864
Then, we can calculate the test statistic:
z = (sample mean - hypothesized mean)/SE = (14 - 12)/0.864 = 2.315
Rounding to 2 decimals, the test statistic is 2.31.
The degrees of freedom for this test are 24 (n-1), so we can find the range for the p-value using a t-distribution table with 24 degrees of freedom. For a two-tailed test at a significance level of 0.05, the range is between 2.064 and 2.492. Since the test statistic (z = 2.31) falls outside this range, the p-value is less than 0.025.
At a significance level of 0.05, since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the true population mean is greater than 12.
The rejection rule using the critical value at a significance level of 0.05 is to reject the null hypothesis if the absolute value of the test statistic is greater than 1.96 (for a two-tailed test) or if the test statistic is greater than 1.645 (for a one-tailed test).
In this case, the test is one-tailed and the critical value is 1.645 (obtained from a t-distribution table with 24 degrees of freedom). Since the test statistic (z = 2.31) is greater than 1.645, we reject the null hypothesis.
To know more about null hypothesis:
https://brainly.com/question/28920252
#SPJ4
Pls answer all of them or none of them! Tysm!
Answers
Answer:
18. $11
19. $1.40
20. 31
21. 4.05
22. 8.2
23. 31
24. 5.05
25. $14.99 per month
26. 3.7 oz
27. 16 miles ???
28. $6 each
Step-by-step explanation:
Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both
Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?
Answers
Answer: The answer is c log4(x+6)=log4 16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
Answers
Which one of these is not a 3D shape?
a.) Pyramid
b.) Cone
c.) Sphere
d.) None of these
Answers
Answer: d all others are 3d
Step-by-step explanation:
Answer:
D) None of the above
Step-by-step explanation:
This is because all of the shapes above are examples of 3D shapes. A 3D shape would have the dimensions of length and width and height. However a 2D shape would only have the dimensions of length and width.
An example of a 2D shape is a rectangle. as it consists of a length and a width, but does not have a height.
On the other hand a £D shape such as a cube would have a length, width and a height.
which situation represents a proportional situation? a. during shaina's run, she runs 2.5 miles at 6.5 miles per hour. b. after a bath, a bathtub has 72 gallons of water in it, and it drains 8.5 gallons per minute. c. for a charity run, one sponsor will donate $2.50 per mile melissa runs, and another will donate $3.50 per mile melissa runs. d. at a bowling alley, bowling costs $8.75 per hour, and a game of mini golf costs $7.50.
Answers
Here all the cases have a constant proprtion betwee the variables, hence all the cases show a proportional relationship.
a.
Here we see that the speed of Shaina is constant at 6.5 miles per hour. Hence even though she covers 2.5 miles, this shows a proportional relationship.
b.
Here again, we see that the bathtub drains at a speed of 8.5 gallons f water per minute. Hence here also since the draining speed is constant, the situation represents a proportional relationship.
c.
Here we see a relationship between three variables. But, since both donors will donate a constant amount of money to Melissa, this too has a proportional relationship as ultimately the proprtions will be the same.
d.
Here we have the per hour rate chart of both bowling and mini golf. Irrespective of the number of hours played, the rate is constnt, hence, it's a proportional relationship.
Hence all the cases show a proportional relationship.
To know more about proprtional relationship visit
https://brainly.com/question/29765554
#SPJ4
The distribution (or scattering) of IQ scores approximates a bell-shaped curve, also called a/an _______.
Answers
The distribution (or scattering) of IQ scores approximates a bell-shaped curve, also called a normal distribution or Gaussian distribution.
Normal distribution, also known as Gaussian distribution, is a type of probability distribution that is commonly used in statistical analysis. It is a continuous probability distribution with a bell-shaped curve that is symmetrical around the mean, or average, of the data.
The shape of the normal distribution curve is determined by two parameters: the mean and the standard deviation. The mean represents the central tendency of the data, while the standard deviation measures the spread of the data around the mean. The standard deviation also determines the width of the curve. In a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations of the mean, and about 99.7% falls within three standard deviations of the mean.
To learn more about Normal distribution visit here:
brainly.com/question/29509087
#SPJ4
What is the area of a rectangle?
Is it Area = Length x width?
Answers
Answer:
Yes
Step-by-step explanation:
A= LW
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class does not have a sister? Has a brother Does not have a brother Has a sister 8 7 Does not have a sister 9 4
Answers
The probability that a student chosen randomly from the class does not have a sister is 0.529 or 52.9%.
What is the probability?From the data table, there are a total of 8 students who have a sister and 9 students who do not have a sister.
The total number of students in the class is the sum of the students in each category: students with a sister (8) + students without a sister (9) = 17.
Therefore, the probability that a student chosen randomly from the class does not have a sister is:
Probability = Number of students without a sister / Total number of students
Probability = 9 / 17
Probability ≈ 0.529 or 52.9%
Learn more about probability at:
#SPJ1
A rectangular prism is 3 units high, 2 units wide, and 5 units long. What is its surface area
insquare units? Explain or show your reasoning.
Answers
Answer:
62 square units
Step-by-step explanation:
Surface area of a rectangular prism = 2 ( wl + hl + hw)
Where,
w = width = 2 units
h = height = 3 units
l = length = 5 units
Surface area of a rectangular prism = 2 ( wl + hl + hw)
= 2 (2*5 + 3*5 + 3*2)
= 2 (10 + 15 + 6)
= 2 (31)
= 62 square units
Surface area of the rectangular prism = 62 square units
seven friends count the change in their pockets. they have $$\$0.00,~\$1.25,~\$0.02,~\$2.00,~\$10.75,~\$0.40,\text{ and }\$0.00.$$what is the average amount of pocket change per person?
Answers
Answer: The average amount of pocket change per person is $2.06.
Step-by-step explanation:
To find the average amount of pocket change per person, we need to first add up all the amounts and then divide by the number of people (which is 7 in this case).
Adding up the amounts: $0.00 + $1.25 + $0.02 + $2.00 + $10.75 + $0.40 + $0.00 = $14.42
Dividing by the number of people: $14.42 ÷ 7 = $2.06 So the average amount of pocket change per person is $2.06.
learn more about "average":-https://brainly.com/question/130657
#SPJ11
1. Mike's family went out for dinner. The meals including tax cost
$69.57. If they leave a 15% tip...
a. How much is the tip?
b. How much money did they spend on dinner?
(Round to the nearest cent)
Answers
Answer:
Tip: \($10.44\)
Total: \(80.01\)
Step-by-step explanation:
\(\frac{x}{69.57} =\frac{15}{100} \)
\(\frac{100x}{100} =\frac{1043.55}{100} \\ x=10.4355\)
\(69.57+10.44=80.01\)
3/2 = 5d - 1/2 (two step equations with fractions)
Answers
Answer:
d = \(\frac{2}{5}\)
Step-by-step explanation:
\(\frac{3}{2}\) = 5d - \(\frac{1}{2}\)
multiply through by 2 to clear the fractions
3 = 10d - 1 ( add 1 to both sides )
4 = 10d ( divide both sides by 10 )
\(\frac{4}{10}\) = d , then
d = \(\frac{2}{5}\)
what is -1/2-(5/9) in the simplest form
Answers
Answer:
-19/18 or -1 1/18 or -1.055
Step-by-step explanation:
All same answer, just which ever you choose
Answer:
-19/18
Step-by-step explanation:
A car is going 50 miles per hour. A rate that describes this would have units of
Answers
Answer:
mph or miles per hour
Step-by-step explanation:
What is the value of h in the figure
below?
Answers
Answer:
13
Step-by-step explanation:
the top angle is 45°, and then there is the 90° angle, so the other angle must also be 45°. this makes it a right isosceles triangle, so both legs must be equal (they are both 13)
3.13 test: congruence and constructions
Answers
Answer:
The angle-angle-side postulate. A.A.S
Step-by-step explanation:
Write the equation of a line parallel to the y-axis and passing through the point
(-3,-4).
Answers
Answer:
x = -3 is the answer. Writing this cause brainly requires a 20 character answer.
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all of the the points, but the line passes through the origin.
A straight line can be drawn through all the points, but the line does not pass through the origin.
A straight line can be drawn through all the points, and the line passes through the origin.
A straight line cannot be drawn through all of the the points, and the line does not pass through the origin.
Answers
Answer: A straight line can be drawn through all the points, and the line passes through the origin.
Step-by-step explanation:
3
Select the correct answer
180(22) (-40),
Which expression is equivalent to
O is 228-40
OB 4223)+(-408)
oc. 18-220,4-40
op. 1842284401
Reset
Next
PLEASE HELP ASAP
Answers
Consider the modified Harrod-Domar Growth model: c(g+δ)=(s
π
−s
W
)(
Y
π
)+s
W
As a planner, you're targeting a 4\% growth rate. If depreciation (delta) =0.03, capitaloutput ratio (c)=3,pi/Y=0.5, and savings out of capital income, s(pi)=25%. At what rate should the wage earners and rural households save? (Note: Write in \%, no decimal)
Answers
The rate at which the wage earners and rural households should save is 21%.
Given that:
Depreciation (δ) = 0.03
Capital output ratio (c) = 3
Profit share of income (π/Y) = 0.5
Savings out of capital income (sπ) = 25% = 0.25
We know that the modified Harrod-Domar growth model is given as:
c(g+δ) = (sπ - sW)(Yπ) + sW
We can rearrange the above equation to find the value of savings out of wage income as follows:
sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)
Plugging in the given values:
sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)
On solving the above equation, we get:
sW = 0.21 or 21%
Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.
To learn more about Harrod-Domar model
https://brainly.com/question/4555076
#SPJ11