The standard error of the sample mean can be calculated by dividing the sample standard deviation by the square root of the sample size. Therefore, the standard error is approximately 22 divided by the square root of 250, which is approximately 1.39. Hence, the correct answer is 1.39.
To calculate the standard error of the sample mean, we divide the sample standard deviation by the square root of the sample size. In this case, the sample mean is 140 and the sample standard deviation is 22. Therefore, the standard error can be calculated as 22 divided by the square root of 250.
The square root of 250 is approximately 15.81, so the standard error is approximately 22 divided by 15.81, which is approximately 1.39.
The standard error represents the variability of the sample mean from sample to sample. A smaller standard error indicates less variability and greater precision in estimating the population means.
Therefore, the standard error of the sample mean in this case is approximately 1.39.
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Plz I will name you brainliest for best answer 10 points
Which of the following inequalities is correct?
Choose 1 answer:
Answer:
I believe the correct answer is A, but don't take my word until you know for sure <3
Step-by-step explanation:
Answer:
B) c < -a
Step-by-step explanation:
a = -8-a = -(-8)-(-8) = 8c = -2Re-write the inequality: -2 < 8Because this inequality is true, B is the correct answerI hope this helps!
I need to graph the points where the line crosses the axes. Also a basic explanation of how to do so would be helpful
Answer:
(0,6) and (-2, 0)
Step-by-step explanation:
All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.
In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).
Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.
using this information, we can substitute y in the equation with 0 becoming
0 = 6 + 3x
now we can solve for x.
0 -6 = 3x
-6 / 3 = x
x = -2
the coordinate is (-2, 0)
The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
There is a 0 9988 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $195 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $90,000 as a death benefit Complete parts (a) through (c) below. a. From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is (Type integers or decimals Do not round) b. If the 33-yem-old male purchases the policy, what is his expected value? The expected value is (Round to the nearest cent as needed) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $on every 33-year-old male it insures for 1 year (Round to the nomest cent as needed)
a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.
b. The expected value for the 33-year-old male purchasing the policy is -$579.06.
c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.
a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.
b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.
Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)
Expected value = (0.9988 * $0) + (0.0012 * -$90,000)
Expected value = -$108 + -$471.06
Expected value = -$579.06 (rounded to the nearest cent)
c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.
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4(k-3) = -12 + 4k
-7 + 40w = 8 (5w -2) +9
0=8z-8z
42(v+9)-343=7-(-3x -11)
18b+32=6b+4(8+3b)
Solve for x. Your answer must be simplified. -3 < x/-4
Answer:
x<12
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3< x/ −4
Step 1: Simplify both sides of the inequality.
−3< −1/ 4 x
Step 2: Flip the equation.
−1/ 4 x>−3
Step 3: Multiply both sides by 4/(-1).
( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)
x<12
Answer:
x<12
Enumera toate numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5
To enumerate all the numbers between 60 and 70 that are divisible by both 4 and 5, we need to check each number in that range and see if it satisfies both conditions.
The answer to the question "Enumera toate numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5" is:
Numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5 sunt 60.
The explanations are given as follows:
Let's start with the number 60. We check if 60 is divisible by 4 by dividing it by 4 and seeing if the remainder is 0. In this case, 60 divided by 4 gives us a remainder of 0, so it is divisible by 4. Next, we check if 60 is divisible by 5 in the same way. Again, 60 divided by 5 gives us a remainder of 0, so it is divisible by 5 as well. Therefore, 60 satisfies both conditions and can be included in our list.
Moving on to the next number, 61, we repeat the same process. We divide 61 by 4 and 61 by 5 and check if the remainders are 0. If any remainder is not 0, then the number is not divisible by both 4 and 5. In this case, 61 is not divisible by either 4 or 5, so we exclude it from our list.
We continue this process for each number between 60 and 70. The numbers that satisfy both conditions, being divisible by 4 and 5, are included in our final list.
Based on this process, the number between 60 and 70 that can be divided exactly by both 4 and 5 is 60
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A number, x, rounded to 1 significant figure is 200 Write down the error interval For x.
Answer:
150< x ≤ 250
Step-by-step explanation:
Couldn't be bothered
What is the product of 50% of 30 and 25% of 40?
Answer:
50% of 30 is 15. 25% of 40 is 10. So, the product of 50% of 30 and 25% of 40 is 150.
Here's the calculation:
```
(50/100) * 30 * (25/100) * 40 = 150
```
Step-by-step explanation:
today to generate exactly enough to make the 4 payments on the bag? Enter your answer as a positive number, round it to two decimal places and omit dollar signs (i.e., enter $2,001.2001 as 2,001.20 ). Your investment account generates a return of 14.00% (APR). Interest is compounded quarterly (once every 3 months). What is the effective annual rate (EAR) for this account? Enter percents in units of percent (not decimals), round your answer to two decimal places and omit percent signs (i.e., enter 20.214\% as 20.21 ). one month from today. If the interest rate on Joe's loan is 9%APR, what is the principal balance on his car loan today? Round your answer to two decimal places and omit dollar signs (i.e., enter $2,001.2231 as 2,001.22).
The effective annual rate (EAR) for the investment account with a return of 14.00% (APR) compounded quarterly can be calculated using the formula:
EAR = (1 + (APR / n))^n - 1
Where APR is the annual percentage rate and n is the number of compounding periods per year. In this case, since interest is compounded quarterly (every 3 months), n would be 4.
Plugging in the values, we have:
EAR = (1 + (0.14 / 4))^4 - 1
Calculating this expression, we find that the effective annual rate is 14.62%.
The effective annual rate (EAR) is a measure of the true annual interest rate taking into account the effects of compounding. It allows for easy comparison of different interest rates that compound over different periods.
In this scenario, the investment account has an annual percentage rate (APR) of 14.00%, which represents the nominal interest rate per year. However, the interest is compounded quarterly, meaning it accrues and is added to the account balance every 3 months. To determine the actual annual rate accounting for compounding, we calculate the effective annual rate (EAR).
By using the formula mentioned above and plugging in the values, we can calculate the EAR. The APR is divided by the number of compounding periods per year (4, in this case), and then 1 is added to this result. The entire expression is raised to the power of the number of compounding periods per year (4) and then subtracted by 1.
The resulting EAR is 14.62%, indicating the equivalent annual rate considering the effects of compounding on the investment account.
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Scientists found an animal skull during an excavation and tested the amount of carbon-14 left in it. They found that 55 percent of the carbon-14 in the skull remained. How many years ago was the animal buried? round your answer to nearest whole number. (hint: a = a0e-0. 000124t. ).
Scientists found an animal skull during an excavation and tested the amount of carbon -14 left in it. They found that 55 percent of the carbon-14 in the skull remained.
55% of the Carbon is left in the skull.
If A₀ was the original amount of Carbon, the amount of Carbon that is remaining will be 55% of A₀ which equals 0.55A₀
Using the given equation:
\(A = A_{o}e^{-0.000124t}\\\\ 0.55A_{o} = A_{o}e^{-0.000124t}\\ \\0.55 = e^{-0.000124t}\\\\In(0.55) = In(e^{-0.000124t})\\\\In(0.55) = -0.000124t*In(e)\\\\In(0.55) = -0.000124t\\\\\)
\(t = \frac{In(0.55)}{-0.000124} \\\\t = 4821\)
Rounding of to nearest year, we can conclude that the animal was buried 4821 years ago.
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Find the Laplace transform of the given function:
f(t)=(t−4)u2(t)−(t−2)u4(t),
where uc(t) denotes the Heaviside function, which is 0 for t
Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).
The Laplace transform of the given function f(t) is L[f(t)] = -6/s³- 72/s³
To find the Laplace transform of the given function f(t) use the linearity property of the Laplace transform and the known Laplace transforms of the Heaviside function u(t) and its powers.
The Laplace transform of (t - 4)u²(t) found as follows:
L[(t - 4)u²(t)] = L[tu²(t) - 4u²(t)]
= L[tu²(t)] - L[4u²(t)]
Now, let's find the Laplace transforms of each term separately.
Using the time-shifting property of the Laplace transform,
L[tu²(t)] = e(-s × 0) × L[u²(t)]' (taking the derivative of u²(t))
= L[u²(t)]'
= -d/ds [L[u(t)]²] (using the Laplace transform of u(t) and the derivative property of the Laplace transform)
The Laplace transform of u(t) is 1/s, so
L[u²(t)]' = -d/ds [(1/s)²]
= -d/ds [1/s²]
= 2/s³
Similarly, for L[4u²(t)],
L[4u²(t)] = 4 × L[u²(t)]
= 4 × 2/s³
= 8/s³
Now, let's combine the results:
L[(t - 4)u²(t)] = -d/ds [L[u(t)]²] - 8/s³
= -d/ds [(1/s)²] - 8/s³
= -d/ds [1/s²] - 8/s³
= 2/s³ - 8/s³
= -6/s³
Next, let's find the Laplace transform of (t - 2)u²(t):
L[(t - 2)u²(t)] = L[tu²(t)] - L[2u²(t)]
Using similar steps as before, we find:
L[tu²(t)] = -d/ds [L[u(t)]²]
= -d/ds [(1/s)²]
= -24/s²
L[2u²(t)] = 2 × L[u²(t)]
= 2 × 24/s²
= 48/s³
Combining the results
L[(t - 2)u²(t)] = -24/s² - 48/s²
= -72/s³
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At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answer:
D
Step-by-step explanation:
hi i am NyLa. i am the founder of "BGP" Blckgirlpower. I just opened new spots on my team if you want to join email me at fnyla36 comment to join. You have to be 11- 13 its ok to be shy but at least give it a chance. Hope to see you soon !
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answer:
\(Expected = 0.09375\)
Step-by-step explanation:
Given
\(Balls = 4\)
\(n = 4\) --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
\(P = \frac{1}{4}\)
The probability of selecting different balls in each selection is:
\(Pr = (\frac{1}{4})^n\)
Substitute 4 for n
\(Pr = (\frac{1}{4})^4\)
\(Pr = \frac{1}{256}\)
The number of arrangement of the 4 balls is:
\(Arrangement = 4!\)
So, we have:
\(Arrangement = 4*3*2*1\)
\(Arrangement = 24\)
The expected number of distinct color is:
\(Expected = Arrangement * Pr\)
\(Expected = 24 * \frac{1}{256}\)
\(Expected = \frac{3}{32}\)
\(Expected = 0.09375\)
The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? A.Both the domain and range of the transformed function are the same as those of the parent function. B.Neither the domain nor the range of the transformed function are the same as those of the parent function. C.The range of the transformed function is the same as the parent function, but the domains of the functions are different. D.The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
Answer:
d
Step-by-step explanation:
Please help me ASAP!!
Answer:
(-4,4) (3,-4) is the answer
Step-by-step explanation:
Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?
It would take Jimbo
Question Blank 1 of 1
type your answer. Minutes to solve a problem alone
It would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
Let's assume that Jimbo takes x minutes to solve a 3-variable substitution problem alone.
We know that Jimmy takes 8 minutes to solve the same problem alone, so his work rate is 1/8 of the problem solved per minute.
Together, Jimbo and Jim Bob can solve the same problem in 6 minutes. This means that their combined work rate is 1/6 of the problem solved per minute.
We can set up the following equation to represent the work rates:
1/8 + 1/x = 1/6
To solve for x, we can multiply both sides of the equation by 24x:
3x + 24 = 4x
x = 24
Therefore, it would take Jimbo 24 minutes to solve a 3-variable substitution problem alone.
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Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a + b)^2, (a – b)^2, and (a - b)(a + b).
Answer:
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2
(a-b)(a+b) = a^2 - b^2
Step-by-step explanation:
Three times the sum of a number and ten is twenty-four.
Answer:
-2
Step-by-step explanation:
Three times the sum of a number and ten is twenty-four.
3 x (n + 10) = 24
24 / 3 = 8
n + 10 = 8
-2 + 10 = 8
3 x (-2 + 10) = 24
3 x 8 = 24
Answer:
\( - 2\)
Step-by-step explanation:
do the math
I know that cauchy implies convergent, and convergent implies
cauchy, and that cauchy implies bounded. Does bounded imply cauchy?
Can you provide an example please?
Given that cauchy implies convergent, convergent implies cauchy, and that cauchy implies bounded, does bounded imply cauchy.
What does it entail?Bounded does not imply cauchy because there are a lot of examples of bounded sequences that aren't cauchy. Here is an example of a bounded sequence that is not cauchy :
Let's consider the sequence a(n) = (–1)^n.
It's a bounded sequence, with |a(n)| ≤ 1 for all n ∈ N.
However, it is not a Cauchy sequence because |a(n+1) - a(n)| = 2 for all n ∈ N.
Since the difference between consecutive terms in the sequence is always 2, and 2 is not a small number.
Therefore, we cannot find an N such that
|a(n+1) - a(n)| < ε
for all n ≥ N and ε > 0, which is a contradiction.
Therefore, the sequence is not Cauchy.
Thus, boundedness does not imply cauchy.
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Solve 2(x−5)^1/3=−16
Answer:
x = − 19
Hope it helps
Please mark me as the brainliest
Thank you
solve the equation for x:
x^2-ax+bx-ab=0
Answer:
im assuming this is a solve for x so uhm x = a x = b
Step-by-sitep explanation:
Which of the following series are convergent? 3n I. ง 4 I. 18 18 18 2" + 1 51 - 1 1 1 III. n!
Out of the three given series, only series I (3n) diverges, while series II (18 + 18^2 + 18^3 + ...) and series III (n!) also diverge. None of the given series are convergent.
Let's analyze each series to determine their convergence.
I. The series \(3n\) does not converge because it grows without bound as \(n\) increases. The terms of the series \(3n\) become larger and larger without approaching a specific value, indicating that the series diverges.
II. The series \(18 + 18^2 + 18^3 + \ldots\) is a geometric series with a common ratio of \(18\). For a geometric series to converge, the absolute value of the common ratio must be less than 1. In this case, \(|18|\) is greater than 1, so the series diverges.
III. The series \(n!\) represents the factorial of \(n\), which is the product of all positive integers from 1 to \(n\). The factorial function grows very rapidly, so the terms of the series \(n!\) become larger and larger as \(n\) increases. Therefore, the series \(n!\) diverges.
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x times 10% = 132 what is X
Answer:
The answer is 13.2
Bus A and Bus B leave the bus depot at 8 am.
Bus A takes 25 minutes to complete its route once and bus B takes 35 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
A quarter past 9 or 9:15
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer:
10:20am
Step-by-step explanation:
My teacher siad lol
Sharon bought a mixture of nuts that was made up of pecans, walnuts and cashews in a ratio by weight of $2:3:1$, respectively. If she bought $9$ pounds of nuts, how many pounds of walnuts were in the mixture
There were 4.5 pounds of walnuts in the mixture. To find the number of pounds of walnuts in the mixture, we need to determine the weight of the walnuts based on the given ratio.
Let's assign variables to the different types of nuts. Let P represent the weight of pecans, W represent the weight of walnuts, and C represents the weight of cashews.
According to the given ratio, the weight of pecans, walnuts, and cashews can be expressed as 2x, 3x, and x, respectively, where x is a common factor.
Since Sharon bought a total of 9 pounds of nuts, we can set up the equation: 2x + 3x + x = 9.
Combining like terms, we get 6x = 9.
Dividing both sides of the equation by 6, we find that x = 1.5.
Now, we can determine the weight of the walnuts by substituting x back into the equation. 3x = 3 * 1.5 = 4.5 pounds.
Therefore, there were 4.5 pounds of walnuts in the mixture.
In summary, there were 4.5 pounds of walnuts in the mixture of nuts.
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How much did Cody deposit every month in his savings account if he had $11,000 after 27 month-end deposits? The money in his savings account was growing at 3.69% compounded monthly. Round to the nearest cent
Cody deposited approximately $364.54 every month in his savings account.
To calculate the monthly deposit amount, we can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)ⁿ - 1) / r
Where:
FV is the future value (the final amount in the savings account)
P is the payment amount (monthly deposit)
r is the interest rate per period (3.69% per annum compounded monthly)
n is the number of periods (27 months)
We need to solve for P, so let's rearrange the formula:
P = FV * (r / ((1 + r)ⁿ - 1))
Substituting the given values, we have:
FV = $11,000
r = 3.69% per annum / 12 (compounded monthly)
n = 27
P = $11,000 * ((0.0369/12) / ((1 + (0.0369/12))²⁷ - 1))
Using a calculator, we find:
P ≈ $364.54
Therefore, Cody deposited approximately $364.54 every month in his savings account.
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Adrian and his children went into a grocery store and will buy apples and mangos. Each apple costs $2.25 and each mango costs $2. Adrian has a total of $25 to spend on apples and mangos. Write an inequality that would represent the possible values for the number of apples purchased, aa, and the number of mangos purchased, m.
The inequality which represents the given situation will be 2.25x + 2y ≤ 25.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Suppose the cost of an apple is x and the cost of one mango is y.
2.25x + 2y = total cost
2.25x + 2y ≤ 25
Hence "The inequality which represents the given situation will be 2.25x + 2y ≤ 25".
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goodness-of-fit suppose that the u of i randomly picked 150 students to be the first to ride the camel on the south quad last week. u of i has a student population that is 5% african american, 48% white, 16% asian, 23% international, and 8% other. the null hypothesis is that these students were randomly selected. if so, how many of each category would you expect? fill in the blanks of the table below. (round to 2 decimal places)
To fill in the observed values, we would need to know how many students from each category actually participated in the camel ride.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
To calculate the expected values for each category, we first need to find out how many students we would expect to fall into each category if the selection was truly random. We can do this by multiplying the total number of students (150) by the percentage of students in each category. The results are as follows:
African American: 150 x 0.05 = 7.50
White: 150 x 0.48 = 72.00
Asian: 150 x 0.16 = 24.00
International: 150 x 0.23 = 34.50
Other: 150 x 0.08 = 12.00
These values represent the expected number of students in each category if the selection was truly random. We can now create a table to compare the expected and observed values:
Category Expected Observed
African American 7.50
White 72.00
Asian 24.00
International 34.50
Other 12.00
To fill in the observed values, we would need to know how many students from each category actually participated in the camel ride. Without this information, we cannot determine whether the null hypothesis is supported or rejected.
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WILL GIVE BRAINLIEST FOR CORRECT ANSWER Which step is the first incorrect step in the solution shown below?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step 1
-4 x -3 does not equal -12.