Answer:All geometric sequences are exponential functions.
Step-by-stepexpanation:
An exponential function is a mathematical function in the form of f(x) = a^x, where a is a constant known as the base, and x is the variable. A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed constant, known as the common ratio. This means that the terms in a geometric sequence can be written in the form a, ar, ar^2, ar^3, ..., where a is the first term and r is the common ratio. By definition, this is equivalent to the exponential function f(x) = a*r^x, which has the same form as an exponential function. Therefore, all geometric sequences are exponential functions.
If the volume of a cube is 24, and the width is 2 and the height is 4 and
the length is x. Find the length.
O 2
O 3
O 4
O 5
Answer:
3
Step-by-step explanation:
Vol=lbh
24=2×4×l
24=8l
l=24/8=3
35. A bag contains tiles with the letters
A-R-I-T-H-M-E-T-I-C. Amelia chooses a tile without
looking and doesn't replace it. She chooses a second tile without looking. What is the
probability that she will choose the letter I both times?
1/25
1/45
2/45
2/55
The probability that she will choose the letter I both times is 1/66
Solving probability of choosing letter I in ARITHMETICWhen Amelia chooses the first tile, there are 12 letters in the bag, including 2 letter I.
So the probability that she chooses an I on the first draw is:
P(I) = 2/12 = 1/6 >>> first draw
Since she does not replace the first tile, there are now 11 tiles left in the bag, including 1 letter I.
So the probability that she chooses an I on the second draw is:
P(I) = 1/11
To find the probability that she chooses the letter I both times, we multiply the probabilities of the two events:
P(I) = P(I on first draw) × P(I on second draw )
= (1/6) × (1/11)
= 1/66
Therefore, the probability that Amelia will choose the letter I both times is 1/66. So the answer is not in the given options.
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ1
find the area under the standard normal curve to the left of z = -2.11 and to the right of z = -0.42
To find the area under the standard normal curve to the left of z = -2.11, we need to look up the corresponding area in the standard normal distribution table. The area to the left of z = -2.11 is 0.0174.
To find the area under the standard normal curve to the right of z = -0.42, we can use the fact that the total area under the curve is 1. We can subtract the area to the left of z = -0.42 from 1 to get the area to the right of z = -0.42. Using the standard normal distribution table, we find that the area to the left of z = -0.42 is 0.3336. Therefore, the area to the right of z = -0.42 is:
1 - 0.3336 = 0.6664
Therefore, the area under the standard normal curve to the left of z = -2.11 and to the right of z = -0.42 is:
0.0174 + 0.6664 = 0.6838
So, the answer is 0.6838.
To find the area under the standard normal curve between z = -2.11 and z = -0.42, follow these steps:
1. Look up the corresponding values in a standard normal table (also known as the Z-table) or use a calculator with a standard normal distribution function (usually denoted as Φ(z)).
2. Find the area to the left of z = -2.11 using the table or calculator. Let's call this area A1.
3. Find the area to the left of z = -0.42 using the table or calculator. Let's call this area A2.
4. Subtract the two areas: Area between z = -2.11 and z = -0.42 = A2 - A1.
By following these steps, you'll find the area under the standard normal curve between z = -2.11 and z = -0.42.
Learn more about standard normal curve at: brainly.com/question/28971164
#SPJ11
What happens to the population after it reaches its carrying capacity
For populations which grow exponentially, growth starts out slowly, enters a rapid growth phase and then levels off when the carrying capacity for that species has been reached. The size of the population then fluctuates slightly above or below the carrying capacity.
suppose you have randomly selected high school students to take a course to improve their sat scores. you find that the mean of their sat scores is not significantly different from the population mean of sat scores for those students who have not taken the course. which of the following statements is the most appropriate conclusion? group of answer choices there is not enough evidence to conclude that the course improves sat scores. we have obtained evidence consistent with the notion that the course has an effect on sat scores. the evidence suggests that the course may have an effect on sat scores. we have proven that the course does not affect sat scores.
The most appropriate conclusion is: There is not enough evidence to conclude that the course improves SAT scores.
When conducting a hypothesis test, we start with a null hypothesis that assumes there is no difference or no effect between two groups or variables. In this case, the null hypothesis would be that the mean SAT score of students who took the course is not significantly different from the mean SAT score of students who did not take the course.
We then collect data and calculate a test statistic (such as a t-statistic) and a p-value. The test statistic measures the difference between the sample means and tells us how far apart they are in standard deviation units. The p-value measures the probability of observing the test statistic or a more extreme value if the null hypothesis is true.
If the p-value is smaller than the chosen level of significance (usually 0.05 or 0.01), we reject the null hypothesis and conclude that there is enough evidence to suggest that the two means are significantly different. If the p-value is larger than the chosen level of significance, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the two means are significantly different.
In this scenario, if the mean of the SAT scores of students who took the course is not significantly different from the mean of the SAT scores of students who did not take the course, it means that we failed to reject the null hypothesis. Therefore, we cannot conclude that the course has an effect on SAT scores. We can only say that there is not enough evidence to suggest that it does.
To learn more about hypothesis test visit: https://brainly.com/question/30588452
#SPJ11
Find the angle measure. Round to the nearest tenth.
tan x = 1.16
degrees
(Enter your answer as a number with one decimal place.)
X =
Answer:
The answer is 49.2° to 1d.p
Step-by-step explanation:
tanx=1.16
x=tan‐¹(29/25)
x=49.2° to 1 d.p
There are 19 students in a homeroom. How many different ways can they be chosen to be elected President, Vice President, and Treasurer?
There are 5,814 different ways to choose a President, Vice President, and Treasurer from a group of 19 students.
Using the formula for permutations:
P(n, r) = n! / (n-r)!
where n is the total number of students and r is the number of students we want to choose for each position.
For the President position, we have 19 choices.
For the Vice President position, we have 18 choices remaining (since we can't choose the student who was elected President).
For the Treasurer position, we have 17 choices remaining (since we can't choose the students who were elected President or Vice President).
Therefore, the total number of ways to choose the officers is:
P(19, 3) = 19 x 18 x 17 = 5,814
Thus, there are 5,814 different ways to choose a President, Vice President, and Treasurer from a group of 19 students.
Learn more about the permutations here:
https://brainly.com/question/1216161
#SPJ1
Let F be a function from positive integers to integrs defined by F(1) = 3 F(2) = 5 F(n) = 3 F(n-1) - 2 F(n-2). What is the closed form expression for F? [Hint: If you suspect one of these is the answer, use mathematical induction to prove it.] Select one: a. 2n +1 b. None of the other options c.2" +1 0 d. nº – n+3
By mathematical induction, we can conclude that F(n) = 2^n + 1 for all positive integers n. Therefore, the answer is (c) 2^n + 1.
To find the closed form expression for F, we can use mathematical induction. First, we can verify that the given function values satisfy the recurrence relation:
For n=3, F(3) = 3F(2) - 2F(1) = 3(5) - 2(3) = 9
For n=4, F(4) = 3F(3) - 2F(2) = 3(9) - 2(5) = 17
For n=5, F(5) = 3F(4) - 2F(3) = 3(17) - 2(9) = 41
Now we assume that F(k) = 2^k + 1 holds for some k≥2. We prove that F(k+1) = 2^(k+1) + 1 holds.
F(k+1) = 3F(k) - 2F(k-1)
= 3(2^k + 1) - 2(2^(k-1) + 1)
= 3(2^k) + 3 - 2^k - 2
= 2(2^k) + 1
= 2^(k+1) + 1
Therefore, the answer is (c) 2^n + 1.
To learn more about function click on,
https://brainly.com/question/17230227
#SPJ4
1. Quadrilateral ABCD has vertices A(1, 1), B(5,
2), C(6,-2), and D(2, -3). Classify the
quadrilateral.
2. Use slope and/or the distance formula to
determine the most precise name for the
figure: A(-6, -3), B(1, 0), C(4, 7), D(-3, 4).
[A] kite
[B] rectangle
[C] square
[D] rhombus
Results:
1. AB and CD have the same slope, just as BC and DA, meaning that the quadrilateral is a trapezoid.
2. The most precise name for the figure using slope and/or the distance formula is A) kite.
How do we classify the quadrilateral as a trapezoid?1. To classify the quadrilateral ABCD, we can use the slope formula to find the slopes of each of the four sides:
slope = (y2 - y1) / (x2 - x1)
With the formula, we find that the slopes of the sides are:
AB = (2 - 1) / (5 - 1) = 1/4
BC = (-2 - 2) / (6 - 5) = -4
CD = (-3 - (-2)) / (2 - 6) = 1/4
DA = (1 - (-3)) / (1 - 2) = -4
So, opposite sides have equal slopes - AB and CD have the same slope as BC and DA. This means that the quadrilateral is a trapezoid.
2. To determine the most precise name for the figure A(-6, -3), B(1, 0), C(4, 7), D(-3, 4), we shall use the distance formula to calculate the lengths of the sides:
AB = [tex]\sqrt(1 - (-6))}[/tex]² + (0 - (-3))² = √58
BC: [tex]\sqrt{(4 - 1)^2 + (7 - 0)^2)} = \sqrt{74}[/tex]
CD: [tex]\sqrt{(-3 - 4)^2 + (4 - 7)^2)} = \sqrt{74}[/tex]
DA: [tex]\sqrt{(1 - (-3))^2 + (0 - 4)^2)} = \sqrt{32}[/tex]
We can now determine if opposite sides are parallel, using the slope formula like this:
AB: (0 - (-3)) / (1 - (-6)) = 3/7
BC: (7 - 0) / (4 - 1) = 7/3
CD: (4 - 7) / (-3 - 4) = 3/7
DA: (0 - 4) / (1 - (-3)) = -1
Since opposite sides (AB and CD) have equal slopes, and opposite sides (BC and DA) also have equal slopes, we can conclude that the figure is a kite.
Learn more about quadrilateral at brainly.com/question/29635320
#SPJ1
Show that NegBin(1, p) ~ Geom(p), that the Negative Binomial Dis- tribution with r = 1 success and probability p is the same as the Geo- metric Distribution with the same probability p.
To show that NegBin(1, p) ~ Geom(p), we need to prove that their probability mass functions (pmf) are the same.
The pmf of NegBin(1, p) is:
P(X = k) = (k+r-1) choose k * p^r * (1-p)^k
where r = 1, so:
P(X = k) = k choose k * p * (1-p)^k
Simplifying this, we get:
P(X = k) = p * (1-p)^k
which is the pmf of Geom(p).
Therefore, we can conclude that NegBin(1, p) ~ Geom(p), meaning that the Negative Binomial Distribution with r = 1 success and probability p is the same as the Geometric Distribution with the same probability p.
Learn more about NegBin:
https://brainly.com/question/26062265
#SPJ11
Convert the following function from standard from to vertex form. Show all of your work.
f(x) = x^2 + 7x — 1
Answer:
Step-by-step explanation:
To convert the function f(x) = x^2 + 7x - 1 from standard form to vertex form, we need to complete the square. The vertex form of a quadratic function is:
f(x) = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
To complete the square, we add and subtract (b/2a)^2 to the standard form of the quadratic function, where a is the coefficient of the x^2 term, and b is the coefficient of the x term. This gives us:
f(x) = x^2 + 7x - 1 + (49/4) - (49/4)
Now, we can group the x terms and factor the first three terms:
f(x) = (x^2 + 7x + (49/4)) - (49/4) - 1
Next, we can write the first three terms as a square of a binomial:
f(x) = (x + (7/2))^2 - (49/4) - 1
Finally, we can simplify the expression by combining the constant terms:
f(x) = (x + (7/2))^2 - (53/4)
Therefore, the function f(x) = x^2 + 7x - 1 in vertex form is:
f(x) = (x + (7/2))^2 - (53/4)
Find the smallest natural number N that has the property that 2^n>n^2 for all n>N
To completely cover the rectangular wall that measures 290 square feet, Leah will require a minimum of 10 sheets of wallpaper.
To find the smallest natural number N that satisfies the given property, we can use trial and error or mathematical reasoning.
Let's start with trial and error. We can begin by plugging in small values of n to see if they satisfy the inequality.
For n = 1, we have 2^1 > 1^2, so N could be 1.
For n = 2, we have 2^2 > 2^2, which is not true, so N is not 2.
For n = 3, we have 2^3 > 3^2, so N could be 3.
For n = 4, we have 2^4 > 4^2, which is not true, so N is not 4.
We can continue this process until we find the smallest value of n that satisfies the inequality for all n > N. However, this method can be time-consuming and inefficient for larger values of n.
Alternatively, we can use mathematical reasoning to determine the smallest value of N.
Let's rewrite the inequality as 2^n/n^2 > 1.
If we take the derivative of 2^n/n^2 with respect to n, we get (2^n)(ln2)/(n^3).
This derivative is positive for n > 3. Therefore, 2^n/n^2 is increasing for n > 3.
Since we want 2^n/n^2 to be greater than 1 for all n > N, we need to find the smallest value of N such that 2^N/N^2 > 1.
Using the same trial and error method as before, we find that N = 4 satisfies the inequality.
Therefore, the smallest natural number N that has the property that 2^n > n^2 for all n > N is N = 4.
Learn more about natural number here: brainly.com/question/17429689
#SPJ11
Find the values of x for which the series converges. (Enter your answer using interval notation.) Sigma infinity n = 0 (x - 2)^n/8^n (1, 3) Find the sum of the series for those values of x.
The series converges for x in the interval (-6, 10).
The sum of the series for the values of x in the interval (-6, 10) is 8/(10-x).
How we can determine the value of x for the converging series?To determine the values of x for which the series converges, we can use the ratio test:
lim as n approaches infinity of [tex]|(x - 2)^(^n^+^1^) / 8^(^n^+^1^)| / |(x - 2)^n / 8^n|[/tex]
= lim as n approaches infinity of |x - 2| / 8
For the series to converge, this limit must be less than 1:
|x - 2| / 8 < 1
|x - 2| < 8
-8 < x - 2 < 8
-6 < x < 10
Therefore, the series converges for x in the interval (-6, 10).
How to find the sum of series for the value of x?To find the sum of the series for those values of x, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
where a is the first term and r is the common ratio. In this case, a = [tex](x - 2)^0/8^0[/tex] = 1 and r = (x - 2)/8. Since the series converges, we know that |r| < 1:
|(x - 2)/8| < 1
|x - 2| < 8
-8 < x - 2 < 8
-6 < x < 10
Therefore, we can use the formula for the sum of an infinite geometric series:
S = 1 / (1 - (x - 2)/8) = 8 / (10 - x)
So, the sum of the series for the values of x in the interval (-6, 10) is 8/(10-x).
Learn more about converges
brainly.com/question/15415793
#SPJ11
The population of Colorado in 2009 was about 5,024,748. The land area can be approximated by a rectangle with coordinates (0, 0), (369, 0), (369, 281), and (0, 281), with each unit on the coordinate plane being 1 mile. What was the population density of Colorado in 2009?
Answer:
The approximate area of Colorado is
369 × 281 = 103,689 square miles
So the population density of Colorado in 2009 was
5,024,748 people / 103,689 square miles = about 48.46 people per square mile
(about 48 people per square mile)
Use Fermat' s Little Theorem to find all the zeros in Z5 of 2x²¹⁹ + 3x⁷⁴ +2x⁵⁷ +3x⁴⁴.
machinery on a production line must be repaired if it produces more than 10% defectives in a large lot. a random sample of 100 items contains 15 defectives. does the data indicate that the machinery should be repaired? explicitly state hypotheses
Yes, the data indicate that the machinery should be repaired and the hypotheses are stated.
In this scenario, the null hypothesis is that the machinery is not producing more than 10% defective items, while the alternative hypothesis is that it is producing more than 10% defectives. We can represent these hypotheses as follows:
H0: The machinery is not producing more than 10% defectives.
Ha: The machinery is producing more than 10% defectives.
To test the hypothesis, we will use a statistical test called the one-sample proportion test. This test compares the sample proportion to a hypothesized population proportion. In this case, the hypothesized proportion is 0.10 (10% defectives).
Using the one-sample proportion test, we can calculate a p-value, which is the probability of obtaining a sample proportion as extreme as the one observed or more extreme, assuming the null hypothesis is true. If the p-value is less than the significance level, we reject the null hypothesis in favor of the alternative hypothesis.
In this scenario, the sample proportion is 0.15 (15 defectives out of 100 items), and the hypothesized population proportion is 0.10 (10% defectives). Using a one-tailed test with a significance level of 0.05, we can calculate the p-value as 0.0347.
Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the machinery is producing more than 10% defectives. Therefore, the machinery should be repaired to reduce the defect rate.
To know more about hypotheses here
https://brainly.com/question/29576929
#SPJ4
Using Taylor Series, what is the value of
yo(4) if
y'=x+y2 for y(0)=1?
To find the value of y(4) using Taylor Series for the given equation y' = x + y^2 with y(0) = 1, we can follow these steps:
Step 1: Write down the given differential equation and initial condition:
y' = x + y^2, with y(0) = 1
Step 2: Find the first few derivatives of y with respect to x:
y' = x + y^2
y'' = 1 + 2y*y'
y''' = 2y' + 2y*(1 + 2y*y')
Step 3: Evaluate these derivatives at x = 0 using the initial condition y(0) = 1:
y'(0) = 0 + 1^2 = 1
y''(0) = 1 + 2*1*1 = 3
y'''(0) = 2*1 + 2*1*(1 + 2*1*1) = 2 + 2*(1 + 4) = 12
Step 4: Write down the Taylor Series expansion of y(x) up to the third-order term:
y(x) = y(0) + y'(0)x + (1/2!)y''(0)x^2 + (1/3!)y'''(0)x^3
Step 5: Substitute the values obtained in Step 3 into the Taylor Series expansion:
y(x) = 1 + 1*x + (1/2)*3*x^2 + (1/6)*12*x^3
Step 6: Evaluate y(4) using the Taylor Series expansion obtained in Step 5:
y(4) = 1 + 1*4 + (1/2)*3*(4^2) + (1/6)*12*(4^3)
y(4) = 1 + 4 + 24 + 128
y(4) = 157
Using the Taylor Series method up to the third-order term, the value of y(4) is approximately 157. Note that this is an approximation, and the actual value may differ.
For more questions on Taylor series - https://brainly.com/question/28168045
#SPJ11
Write threee names for the angles
You can also name an angle by its vertex point. In #3, you can name the angle as "angle B"
the domain of the exponential function f(x)=ax, a>0, a≠1, is the set of all real numbers. true or false
The given statement the domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers is true.
The domain of the exponential function f(x) = a^x.
where a is a positive real number .
And a is not equal to 1 is the set of all real numbers.
This means that the function is defined for every real number x.
The exponential function grows or decays rapidly as x moves away from 0, and its graph never touches the x-axis.
Therefore, the exponential function f(x) =a^x for a>0, a≠1 having domain set of all real numbers is true.
learn more about domain here
brainly.com/question/29152707
#SPJ4
The above question is incomplete, the complete question is:
The domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers. true or false
what is the vector v⃗ 1 from point o to point e?
The vector v1 from point O to point E is given by <Δx, Δy, Δz>.
The vector v1 from point o to point e is the directed line segment that connects point o to point e. In other words, it is the vector that starts at point o and ends at point e.
To find the vector v 1, you can subtract the coordinates of point o from the coordinates of point e. Thus, v 1 = (xe - xo)i + (ye - yo)j + (ze - zo)k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.
To find the vector v1 from point O to point E, you need to follow these steps:
Step 1: Identify the coordinates of point O and point E. Let's assume the coordinates of point O are (x1, y1, z1) and point E are (x2, y2, z2).
Step 2: Calculate the differences between the coordinates of point E and point O. Subtract the coordinates of point O from point E:
Δx = x2 - x1
Δy = y2 - y1
Δz = z2 - z1
Step 3: Represent the vector v1 from point O to point E using the differences in coordinates:
v1 = <Δx, Δy, Δz>
That's it! The vector v1 from point O to point E is given by <Δx, Δy, Δz>.
Learn more about vector at: brainly.com/question/29740341
#SPJ11
16. A basketball coach rated each player's skill. The five players with the highest scores will start the next In game. The player with the highest score will be captain.
a) Which player will be the captain?
b) Name the starting players.
Answer: Ming is captain and the starting players will be ming raj toni monica and jan
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
according to the question it shows Ming leading with a score of 4 making him Captain.
The Starting players will be Ming, Barbara,Raj,Toni and
If each square of the grid below is 0.5 cm by 0.5 cm, how many centimeters (cm) are in the perimeter of the blue figure?
The required perimeter of the blue figure is 21 centimeters.
As shown in the figure the grid is made of a small square with dimensions 0.5 cm by 0.5 centimeters.
The perimeter of the blue figure is given as;
= [sum of the exposed side] × 0.5
= 42 × 0.5
= 21 centimeters.
Thus, the required perimeter of the blue figure is 21 centimeters.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ1
test the series for convergence or divergence. − 2/3 4/4 − 6/5 8/6 − 10/7 identify bn. (assume the series starts at n = 1.)
The series diverges Identifying bn: bn = 1/n
The series does not have a fixed pattern, so we need to find an expression for the general term.
If we look at the numerators, we see that they are all even numbers, increasing by 2 each time. We can express this as 2n, where n is the position of the term.
The denominators, on the other hand, are odd numbers, increasing by 1 each time. We can express this as 2n - 1.
So, the general term of the series is given by:
an =[tex](-1)^{n+1} * (2n)/(2n-1)[/tex]
To test for convergence or divergence, we need to examine the behavior of the series as n approaches infinity.
We can use the alternating series test to show that the series converges. This test states that if a series is alternating (i.e. the signs of the terms alternate), the terms decrease in absolute value, and the limit of the terms as n approaches infinity is 0, then the series converges.
In our series, the signs of the terms alternate, and the absolute values of the terms decrease as n increases.
To show that the limit of the terms is 0, we can use the limit comparison test.
Let bn = 1/n. Then,
[tex]lim (an/bn) = lim (-1)^{n+1}(2n)/(2n-1) * n = -2[/tex]
Since the limit is a finite nonzero number, and the harmonic series (1/n) diverges, the given series must diverge as well.
Therefore, the series diverges.
Identifying bn:
bn = 1/n
Learn more about diverges.
https://brainly.com/question/30726405
#SPJ4
Without using a calculator, compute the sine and cosine of 150° by using the reference angle. What is the reference angle?degrees
Without using a calculator, the sine of 150° is 1/2 and the cosine of 150° is -√3/2.
The reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis. In this case, the reference angle for 150° is 30° because it is the acute angle between the terminal side of 150° and the x-axis.
To compute the sine and cosine of 150° using the reference angle, we need to use the following formulas:
sin(150°) = sin(180° - 30°) = sin(30°) = 1/2
cos(150°) = cos(180° - 30°) = -cos(30°) = -√3/2
Therefore, without using a calculator, the sine of 150° is 1/2 and the cosine of 150° is -√3/2.
To learn more about acute angle, refer below:
https://brainly.com/question/2761036
#SPJ11
- The sine of 150° is equal to the sine of the reference angle, which is sin(30°) = 1/2.
- The cosine of 150° is equal to the negative cosine of the reference angle, since the angle is in the second quadrant, where cosine is negative. Therefore, cos(150°) = -cos(30°) = -√3/2.
To compute the sine and cosine of 150° using the reference angle, we need to find the equivalent acute angle that is less than 90°. The reference angle for 150° is 30°, which is found by subtracting 90° from 150° and taking the absolute value of the result (|90°-150°| = |-60°| = 60°). Since sine is the ratio of the opposite side to the hypotenuse, and cosine is the ratio of the adjacent side to the hypotenuse, we can use the reference angle and the unit circle to find the values.
For more such questions on reference angle, visit
brainly.com/question/30741629
#SPJ11
which of the following statements are correct? multiple select question. monetary unit sampling tends to select lower dollar transactions or components within an account for examination than classical variables sampling. variables sampling can be done using monetary unit or classical variables sampling. classical variables sampling uses the laws of probability and the central limit theorem.
The correct statements are:
1). Comparatively to traditional variable sampling, monetary unit sampling typically chooses lesser dollar transactions or components from an account for analysis.
3). The central limit theorem and the principles of probability are used in traditional variable sampling.
What is Monetary unit?A sample technique called the monetary unit is used in accounting and auditing to check the quality and completeness of financial information.
Each dollar in a population or account balance has an equal chance of being chosen for testing in monetary unit sampling. This implies that larger transactions or components are more likely than smaller ones to be chosen for investigation.
The first and third sentences are true, respectively:
Comparatively to the traditional variables sample, monetary unit sampling tends to examine the smaller dollar transactions or components within the account.
The central limit theorem and the principles of probability are used in traditional variable sampling.
The second assertion is both somewhat true and false:
The monetary unit or the traditional variables sampling are used for variable sampling.
This claim that variables can be sampled using traditional variables sampling is true. However, it is false to claim that variables sampling may be accomplished by monetary unit sample because this kind of non-statistical sampling excludes variables sampling from its scope.
To know more about probability visit:
brainly.com/question/30398273
#SPJ1
Help due tomorrow
Tysm if you help :)
Answer:46ft
Step-by-step explanation:
split the shape into square and triangle
7•6=42
then for the triangle 7-5=2 and 10-6= 4
2•4=8/2=4
42+2=46
Answer:
Step-by-step explanation:
Step 1
Get the Area of the Rectangle.
Area of Rectangle = width x length
Width of the rectangle = 6ft
Length of the rectangle = 7ft
Area of rectangle = 7ft * 6ft = 42 ft^2
Step 2
Get the area of the triangle.
We know the triangle has a base of 2ft because the image shows the top length being 7ft and the bottom (where the triangle begins) is 5ft.
7ft - 5ft = 2ft
Similarly one side is 6ft and the other side where the triangle ends is 10ft. So the height of the triangle = 10ft - 6ft = 4ft
Area of a triangle is (1/2)*base*height
A = (2ft * 4ft)/ 2
The area of the triangle is A = 4 ft^2
The total area is = Area of rectangle + Area of triangle = 42 ft^2 + 4 ft^2 = 46 ft^2
Which term of the G.P. : √2 , 2, 2√2 , 4, . . . . . . . . . . . . is 32
The term of the sequence √2 , 2, 2√2 , 4, . . . . . . . . . . . . that is 32 is the 10th term
Calculating the term of the sequenceGiven that
√2 , 2, 2√2 , 4, . . . . . . . . . . . .
The common ratio of the geometric progression is:
r = (2√2) / 2 = √2
We want to find the value of n such that the nth term is 32:
aₙ = √2 * √2^(n-1)
√2 * 2^(n-1) = 32
√2^n = 32
n = 10
Therefore, the 10th term of the geometric progression is 32.
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
Answer:
10th term
Step-by-step explanation:
Tn=ar^n-1
a=first term,ar=2nd tem ar²=3rd term
a,ar,ar²,ar³.........a^n
r=common ratio=2/√2
rationalising
2×√2/√2×√2=2√2/2
r=√2
Tn=32=ar^n-1
32=√2×√2^n-1
32=√2^n
√2¹⁰=√2^n
n=10th term
Please Help asap, if your answer is correct u will be marked brainliest and will get 20 points. (no links please)
Answer: (-2,4)
Step-by-step explanation:
A solution is an intersection point between the parabola and the linear function. We can see 2 intersections, one of which is (-2,4)
Therefore, (-2,4) is the solution.
what 2 numbers multiply to 40 and add to -22
Perform both the left and right reimann sums of the following table to determine the value of left sum - right sum.
x = 1, 4,5, 10
f(x)= 3,2,7,1
(This is a chart)
The difference between the left and right Riemann sums is 6.
What is the Riemann sum formula?
The Riemann sum formula is A=∑f(xi)Δx A = ∑ f ( x i ) Δ x where A is the area under the curve in the estimated region, f(xi) f ( x i ) is the height of each rectangle ( or the average of two heights in the case of a trapezoid) and Δx is the width of each rectangle or trapezoid.
To calculate the left and right Riemannian sum of this function, we must first choose a segment of the interval [1, 10]. We choose the partition P = {1, 4, 5, 10}. The width of each subinterval is then obtained from the formula Δx = (10 - 1) / 4 = 2.25.
Left Riemann Sum:
For the left Riemann sum, we evaluate the function at the left endpoint of each subinterval and multiply by the width of the subinterval. it is,
L = Δx [f(1) f(4) f(5)] = 2.25 [3 2 7] = 28.5
Riemann exact sum:
To get the exact Riemann sum, we evaluate the function at the right endpoint of each subinterval and multiply by the width of the subinterval. it is,
R = Δx [f(4) f(5) f(10)] = 2.25 [2 7 1] = 22.5
Therefore, left sum - right sum = L - R = 28.5 - 22.5 = 6.
So the difference between the left and right Riemann sums is 6.
Learn more about How to calculate Riemann sum here
https://brainly.com/question/30404402
#SPJ1
