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Related Questions
Use substitution to find the indefinite integral. szve ? 2 zV9z+ - 5 dz [21922-5 Zy9z 9z- 5 dz = =]
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To solve this problem, we can use substitution. Let u = 9z - 5, then du/dz = 9 and dz = du/9.
Using this substitution, we can rewrite the integral as:
∫(2/(u+5))(1/9)du
Simplifying this expression:
(2/9) ∫(1/(u+5))du
We can then solve this integral by using the formula for the natural logarithm:
(2/9) ln|u+5| + C
Substituting back in for u:
(2/9) ln|9z| + C
2 zV9z+ - 5 dz is (2/9) ln|9z| + C.
Consider the integral:
∫2z√(9z² - 5) dz
We can use the substitution method. Let's choose the substitution:
u = 9z² - 5
Now, differentiate u with respect to z:
du/dz = 18z
Solve for dz:
dz = du/(18z)
Now, substitute u and dz back into the integral and simplify:
∫(2z√u) * (du/(18z)) = (1/9)∫√u du
Now, integrate with respect to u:
(1/9)(2/3)(u^(3/2))/(3/2) + C = (2/27)u^(3/2) + C
Finally, substitute back the original expression for u:
(2/27)(9z² - 5)^(3/2) + C
So, the indefinite integral is:
(2/27)(9z² - 5)^(3/2) + C
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Find a possible formula for the general nth term of the sequence that begins as follows. Please simplify your solution. -4, -5, -6, -7,-8,...
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The formula for the general nth term of the sequence is αₙ= -3-n.
The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.
The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.
Here, α= -4
d=α₂-α₁
= -5+4
= -1
⇒αₙ= -4+(n-1)(-1)
⇒αₙ = -4-n+1
⇒αₙ = -3-n
The correct answer is -3-n.
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The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.
84, 67, 74, 87, 67, 73
If the coach is discussing their year with the local newspaper, which measure of central tendency is he least likely to use?
median
mode
mean
range
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The least likely measure of central tendency to be used would be; The range.
How to identify measures of central tendency?We are given the points scored by the basketball team as;
84, 67, 74, 87, 67, 73
Now, the three major measures of central tendency are mean, median and mode.
Mean is the average while mode is the most frequent item while median is the middle term when arranged in ascending order.
However, when discussing their year, what the paper would like to know is their average amount of points per game for the year and as such he will use the mean.
However, the least likely measure of central tendency to be used would be the range.
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AMNON APQR
O
Q
P
4
R
M
N
5
What is the length of X?
011
2
02
01
Answers
Answer:
does not make sentes
Step-by-step explanation:
but i l look it up. it is 2
at the maryland department of motor vehicles, the time between checking in and being called to a service window is exponentially distributed with expectation of 10 minutes. (a) if you check in, what is the probability that you have to wait between 10 and 15 minutes? (b) what is the median value (50th percentile) of the waiting time?
Answers
The probability of waiting between 10 and 15 minutes at the Maryland Department of Motor Vehicles (DMV), given an exponential distribution with an expectation of 10 minutes.
The median waiting time, which represents the 50th percentile of the waiting time distribution, can be found by solving the equation involving the CDF of the exponential distribution. In this case, the median waiting time is approximately 6.9315 minutes.
The exponential distribution is often used to model the time between events that occur at a constant rate independently of past occurrences.
The parameter of the exponential distribution is the expectation or mean, which is given as 10 minutes in this case.
The probability of waiting between 10 and 15 minutes can be calculated by subtracting the probability of waiting less than 10 minutes from the probability of waiting less than 15 minutes.
This can be done using the CDF of the exponential distribution. Plugging in the appropriate values, the probability is approximately 0.0916, or 9.16%.
The median waiting time represents the time at which 50% of the waiting times are less than or equal to the median. In the exponential distribution.
The median can be calculated by solving the equation 1 - e^(-λt) = 0.5, where λ is the rate parameter of the distribution and t is the median waiting time.
In this case, the rate parameter is 1/10, as the expectation is 10 minutes. Solving the equation gives us t ≈ 6.9315 minutes, which is the median waiting time at the Maryland DMV.
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Hi can you please help me out
Answers
Answer:
Centroid
Step-by-step explanation:
is it right please tell me down below thank you
PLEASE HELP!!!
Suppose that f(x) = x^2 and g(x) = 2/3x^2 Which statement best compares the
graph of g(x) with the graph of f(x)?
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The input is x while the output is y = f(x). If we multiply both sides of y = f(x) by 2/3, then we'll get (2/3)y = (2/3)f(x) = (2/3)x^2
We see that the new outputs are 2/3 the size of the original. So the graph is shorter and has been vertically squished or compressed. If we multiplied both sides by some number larger than 1, then the graph will be vertically stretched.
No reflection has been done because that only happens if we multiplied both sides by a negative value. The negative flips things around (from positive to negative or vice versa).
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A) the angles are alternate exterior angles
B) the angles are supplememtary angles
C) the angles are vertical angles
D) the angles are corresponding angles
Answers
Answer:
A
Step-by-step explanation:
The angles are on a opposite side of the the transversal.
two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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kit
Topic 8 Test
Find the value of x to the nearest tenth.
7
46°
X
20
Answers
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kaylin buys a greeting card for $3.79. she then buys 4 postcards that all cost the same amount. the total cost is $5.11. how much is each postcard. show your work
i need the answer today
Answers
Answer:
Step-by-step explanation:
Givens
Greeting Card = 3.79
Total Cost = 5.11
Post cards = x
Equation
Total Cost = Greeting Card + 4x
Solution
Substitute the gives into the equation
5.11 = 3.79 + 4x Subtract 3.79 from both sides
5.11 - 3.79 = 3.79 - 3.79 + 4x Combine
1.32 = 4x Divide by 4
1.32/4 = 4x/4
x = 33
Each post card costs 0.33 dollars
The Tama, Japan, monorail carries 92,700 riders
each day. If the monorail usually carries
5,150 riders per hour, how many hours does
the monorail run each day?
Answers
Answer:
The monorail runs 18 hours runs every day.
Step-by-step explanation:
You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
A direct proportionality relationship is established between two quantities if:
The greater the quantity in one quantity, the greater the quantity in the other quantity, in the same proportion. The less quantity in the magnitude corresponds to the less quantity in the other magnitude, in the same proportion.If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
Being
\(x=\frac{c*b}{a}\)
In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?
\(amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}\)
amount of hours= 18 hours
So the monorail runs 18 hours runs every day.
A set of data that shows temperature highs for 10 days and satisfies all conditions below mean:72 median:74 mode:68 range:21
Answers
Answer:
\(58, 68, 68, 68, 74, 74, 76, 77, 78, 79\)
Step-by-step explanation:
Given
\(n=10\)
\(Mean = 72\)
\(Median = 74\)
\(Mode = 68\)
\(Range = 21\)
Required
The complete dataset
The question has missing options (available online)
From the mean, we have:
\(Mean = \frac{\sum x}{n}\)
This gives:
\(72 = \frac{\sum x}{10}\)
Cross multiply
\(\sum x = 72 * 10\)
\(\sum x = 720\)
This means that the sum of all elements of the dataset is 720
Next, we test the median
Since n = 10, then:
\(Median = \frac{n + 1}{2}\)
\(Median = \frac{10 + 1}{2}\)
\(Median = \frac{11}{2}\)
\(Median = 5.5th\)
This implies that the median is the average of the 5th and 6th item.
So, we have:
\(Median = \frac{5th + 6th}{2}\)
Cross multiply
\(5th + 6th = 2 * Median\)
\(5th + 6th = 2 * 74\)
\(5th + 6th = 148\)
This means that the 5th and 6th element add up to 148
Also, we have:
\(Mode = 68\)
This means that 68 has to appear at least twice in the dataset
\(Range = 21\)
This implies that the difference between the highest and the least is 21.
The dataset that satisfies the above condition is:
\(58, 68, 68, 68, 74, 74, 76, 77, 78, 79\)
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
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(The number or letter written inside is the number of cups)
Rich is raising rabbits. He has 4 rabbits to start and the population of the rabbits doubles each month. Write an exponential equation to model the situation
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Can someone help me on this I can’t seem to figure it out thanks I really appreciate it
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Number in square root is a number multiplied by itself. For example, 10*10 would give us a square root of 100.
Step-by-step explanation:
1. Square root of 36 = 6
2. Square root of 100 = 10
3. Square root of 81 = 9
4. Square root of 49 = 7
A roulette wheel consists of 38 slots, numbered 0, 00, 1, 2,. , 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. (a) Determine the probability that the metal ball falls into a green slot. Interpret this probability. (b) Determine the probability that the metal ball falls into a green or a red slot. Interpret this probability. (c) Determine the probability that the metal ball falls into 00 or a red slot. Interpret this probability (d) Determine the probability that the metal ball falls into the number 31 and a black slot simultaneously. What term is used to describe this event? (a) P(green) = ___ (Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in a green slot. (Round to the nearest integer as needed. ) (b) P(green or red) = ___
(Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in either a green or red slot. (Round to the nearest integer as needed. ) (c) P(00 or red)= ___ (Type an integer or decimal rounded to four decimal places as needed. )
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(a). There is a 5.26% chance that the metal ball falls into a green slot.
(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.
(c). P(00 or red) ≈ 0.5263
(d). This event is called impossible.
(a) P(green) = 2/38 = 1/19 ≈ 0.0526.
This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.
If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)
(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.
If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)
(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.
(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.
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Randall purchased a flat screen TV for $1090. The tax rate was 8.5%. What was the total cost of his purchase?
Answers
Answer:
$1182.65
Step-by-step explanation:
(8.5/100)×$1090
(85/1000)×1090
$1853/20
=$92.65
thus, $1090+$92.65
=$1182.65
What is the base of the expression 11 and 12 square? 3 11 12 21
Answers
Answer:
your answer is 11
Step-by-step explanation:
An exponential has the base at the bottom
Need helpppp pleaseeeee
Answers
Umm...
What is your question??? You have no question in the question box or attachments.
Select the graph of y=3sin(x+pie/4)
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The graph of 3 sin (x + pi/4 ) is plotted and attached
What are the features of the graphAmplitude the amplitude of the graph is 3, which means that the maximum and minimum values of the function are 3 and -3 respectively
Period the period of the graph is 2π which means that the graph repeats itself every 2π units.
Phase shift the graph is shifted to the left by π/4 units.
the graph of y = sin(x) is shifted to the left by π/4 units to get the graph of y = 3 sin (x + π/4)
Vertical shift There is no vertical shift as the graph of y = 3 sin (x + π/4) is bisected by the x axis
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Help me please thank
Answers
Answer:
To Be Honest watch the video they help
Step-by-step explanation:
the number 0.1271 repressents the area under the standard normal curve below a particular z-score. what is the z-score?
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The number 0.1271 represents the area under the standard normal curve below a particular z-score. To find the z-score, you can use a standard normal (z-score) table or an online calculator. In this case, the z-score is approximately -1.14.
To find the z-score corresponding to the area of 0.1271 under the standard normal curve, you can use a standard normal table or a calculator that can perform inverse normal calculations. When using a standard normal table, you can look up the area of 0.1271 in the body of the table or in the cumulative area column. The corresponding z-score is the value found in the leftmost column or in the row of the table that contains the area.
Alternatively, you can use a calculator to perform the inverse normal calculation. By inputting the area of 0.1271 and specifying that you are working with a standard normal distribution, you can obtain the z-score that corresponds to this area, which is approximately -1.14.
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3x-5x+6=5x-3
What is x-?
Answers
-7x=-9
X=-9 over -7 (fraction )
X=9 over 7
^ because two negatives divided equal a positive even if they get the same answer
Given:-
\( \textsf{3x - 5x + 6 = 5x - 3 }\)\( \: \)
Solution:-
\( \textsf{3x - 5x + 6 = 5x - 3 }\)\( \: \)
\( \textsf{3x - 5x - 5x = -3 - 6}\)\( \: \)
\( \textsf{3x - 10x = -9}\)\( \: \)
\( \textsf{- 7x= -9}\)\( \: \)
\(\boxed{ \sf \blue {x = \frac{ - 9}{-7}}} \)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ☘️
Simplify (2¼-1⅔)×1⅝ please. The ⅝ the 8is 7
Answers
Answer:
I don't understand the part "the 5/8 the 8is7" ?????????????
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
[(9÷4)-(5/3)]×(5/7)
(7/12)×(5/7)
(1/12)×5
5/12
What is 4(1 + 9x) ?
Answers
Answer:
36x+4
Step-by-step explanation:
4*1+4*9x
(4x1) + (4 x 9x)
4 + 36x
Which of the following expressions is equivalent to "eight groups of four"?
A 8+4
B. (8 + 4)
C. 8 x 4
D. 4°
Answers
Answer:
Hey mate,here is your answer. Hope it helps you.
Step-by-step explanation:
The answer is c- 8 x 4. As there are 8 groups of 4 the easiest way to calculate is by multiplying them both. Repeated addition is known as multiplication.
What is the greatest common factor for the list below?
39, 52, 26
Answers
Answer:
13
Step-by-step explanation:
26: 1, 2, 13, 26
39: 1, 3, 13, 39
52: 1, 2, 4, 13, 26, 52
The GCF is 13.
A group of researchers has studied the effect of a new cognitive therapy and the number
of pain attacks in a group of 13 patients. They want to know about the new one
therapy reduces the number of seizures better than placebo. Their data is not
normally distributed. Test using a Wilcoxon’s signed rank test to see if there is evidence to
conclude that the new therapy has a statistically significant effect.
New therapy 5 6 4 8 4 12 1 13 4 6 2 56 6 Placebo 13 5262 2 15 5 5 1 14 12 7 10
Answers
The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.
The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:
\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)
Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.
A researcher randomly selects and interviews fifty male and fifty female teachers.
a. systematic
b. convenience
c. random
d. stratified
e. cluster
Answers
The sampling method described in the scenario is d. stratified sampling.
In stratified sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables. The researcher then randomly selects samples from each stratum in proportion to their representation in the population. This approach ensures that the sample is representative of the population's diversity.
In this case, the researcher has divided the population of teachers into two strata: male teachers and female teachers. By randomly selecting 50 male teachers and 50 female teachers, the researcher is ensuring that both genders are represented in the sample.
The researcher's intention is to have a sample that reflects the gender distribution of teachers in the population accurately. Therefore, stratified sampling is the appropriate method in this scenario.
Other sampling methods, such as systematic sampling, convenience sampling, random sampling, and cluster sampling, are not applicable because they do not specifically address the need to ensure proportional representation of genders in the sample.
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