The standard error of the mean is approximately 62.23 (rounded to two decimal places).
The probability that the sample mean will be more than 10 hours (1830 hours) is approximately 0.4364 (rounded to four decimal places).
I understand that you need help calculating the standard error of the mean and the probability that the sample mean will be more than 10 hours. Let's address each part separately:
a. To calculate the standard error of the mean, we will use the formula:
Standard Error (SE) = (population standard deviation) / sqrt(sample size)
In this case, the population standard deviation is 440 hours, and the sample size is 50 adults. Plugging these values into the formula:
SE = 440 / sqrt(50) ≈ 62.23
b. To find the probability that the sample mean will be more than 10 hours, we will first calculate the z-score for a sample mean of 1830 hours (1820 + 10 hours):
z = (sample mean - population mean) / standard error
z = (1830 - 1820) / 62.23 ≈ 0.16
Now, we can use the z-score to find the probability by looking up the area to the right of this value in a standard normal distribution table or using a calculator. For a z-score of 0.16, the area to the right is approximately 0.4364.
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Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yesterday?
Answer:
That would be 4.0
Step-by-step explanation:
if you have 4.2 take away 0.2 that would be 4.0
4.2
0.2
-__
4.0
Hope this helped regards
Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts
Side note: Please don’t waste my time I have stuff to do
Answer:
Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.
The federal government won't require everyone to get vaccinated.
The federal government also won't required everyone in america to carry a passport.
New York recently because the first state to have a cov id passport.
Florida banned the co vid passport.
Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!
Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.
Heinz makes more ketchup than anyone
12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.
astronauts had a lot of ketchup in space
1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.
Step-by-step explanation:
Hope this helps! Plz mark as brainliest!
The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period.
Monthly High Temperatures
in Austin, Texas
113
109
105
(do) amesadwal
101
..
97
93
.
89
85
1 2 3 4 5 6 7 8 9 10 11 12
Month
Which function best models the data from Month 1
Month 9
y = 1.6 + 111
2.5790
Answer: y=2.5x+90
Step-by-step explanation:
idk
Answer: y =2.5x+90
Step-by-step explanation:
Please find the value of X and Y will mark brainliest
Answer:
y=34.5 degrees
x=17 degrees
Step-by-step explanation:
2y=69 because it is a corresponding congruent angle
y=34.5 degrees
2y=3x+18
69=3x+18
3x=51
x=17
Evaluate the function f(x)=3x+12 with x+6.
f(x+6) = 6x + 60
f(x+6) = 2x - 30
f(x+6) = 3x + 30
f(x+6) = 30
Answer:
f(x+6)= 3x + 30
Step-by-step explanation:
Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.
Thanks! easpoddddddd
Answer:
\(-\frac{8}{7}\\or\\= -1\frac{1}{7}\)
Step-by-step explanation:
\(-\frac{3}{7}\div \frac{3}{8}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{3}{7}\times \frac{8}{3}\\\\=-\frac{8}{7}\\\\= -1\frac{1}{7}\)
Order 4 of the following sentences so that they prove the following statement by contrapositive. The average of three real numbers is greater than or equal to at least one of the numbers. Choose from this list of sentences Proof by contrapositive of the statement (in order) Hence, the assumption that the average of three real numbers is less than all of the numbers is false This contradicts the fact that +y+z=2+y+z Let , y and be real numbers and (x+y++)/3<1 (+y+)/3 <3 and (x+y+)/3<3 Adding up the three inequalities yields +y+=> +y+2 Hence, the assumption that the average of three real numbers is greater than all of the numbers is false Adding up the three inequalities yields y+<+y+z Letry and be real numbers and (1 + y + 3)/3 > z. (x + y + 2)/3 > y, and (x + y + 3)/3 > x
The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.
The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.
Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2.
This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.
Let x, y, and z be three real numbers. We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.
Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3. This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.
Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Therefore, the proof by contrapositive of the statement (in order) is: Let x, y, and z be three real numbers.
We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.
Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3.
This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.
Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2. This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.
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SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the triangle.
Answer:
Step-by-step explanation:
Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.
35 + 80 + x = 180
115 + x = 180
x = 180 - 115
x = 65
Exterior angles are supplements of the interior angles.
So the exterior angle to 65 degrees is 180 - 65 = 115
And the exterior angle to 35 degrees is 180-35 = 145
The exterior angle to 80 degrees is 180 - 100 = 80
Find the root of the equations using the Newton Raphson method. y=f(x)=e^x−x x0=0 ,e^x−3x=3 root of the equation (0,1) in the range x^3+2x^2+6x+3=0 root of the equation (−1,0) in the range
The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.
The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.
In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.
Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.
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he grass in Jamie's yard grew 16161616 centimeters in 10101010 days. It was growing at a constant rate. How many days did it take the grass to grow 1111 centimeter
PLS HELP ME LESSON 12.03: PLOT TWISTS
1. Use the data set provided to create a line plot. i really need help
Hence, in answering the stated questiοn, we may say that If yοu're unitary methοd satisfied with yοur line plοt, save it and distribute it as needed.
What is unitary methοd?The unit technique is a prοblem-sοlving apprοach that invοlves finding the value οf a single unit and then multiplying that value by the needed value. Tο put it simply, the unit technique is used tο extract a single unit value frοm a given multiple. 40 pens, fοr example, wοuld cοst 400 rupees, οr the cοst οf οne pen. The prοcess fοr achieving this may be standardized. A single cοuntry. anything that has an identity element. Its adjοint and reciprοcal are equal in mathematics and algebra.
a general methοd fοr prοducing a line plοt:
First, cοllect yοur data. Stοck prices, temperature readings, and survey results are all examples οf this. The crucial thing is that yοu have a set οf values tο plοt οn a graph.
Enter yοur x and y values intο the plοt. The exact prοcedure depends οn the graphing prοgrammed yοu're using, but yοu shοuld be able tο enter yοur values intο a data table οr spreadsheet.
Make any changes yοu want tο yοur plοt. Adding labels tο the x and y axes, tweaking the plοt's scale, changing the line cοlοur οr thickness, οr adding a title are all pοssibilities.
If yοu're satisfied with yοur line plοt, save it and distribute it as needed.
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Complete question:
Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Mr. Ramirez must ride his bike to burn more than 590 calories?
Answer:
t > 2.5
Step-by-step explanation:
590/236 = 2.5
t > 2.5
Features of the function f(x)=-log3x+6
The following are the properties of the given logarithmic function f(x) = -log3x+6:
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
We have been given that the function f(x) = -log3x+6
As per the above function,
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
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anyone know this?????
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?
n = 1
n = −3
n = fraction 3 over 4
n = fraction 1 over 4
Answer:
The solution is n=1
Step-by-step explanation:
I hope you mean
4/5n-3/5=1/5n
if so then here's the solution
5n×4/5n-3/5×5n=1/5n×5n
4-3n=1
4-1=3n
3n=3
n=1
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?
Answer:
$10.65 divide by 5 equals $2.13
Answer:
The cost per bag of dog treats is $2.13.
Step-by-step explanation:
We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.
Total = $10.65
How many bags there are : 5
$10.65 divided by 5 = 2.13
The cost per bag of dog treats is $2.13.
Find the area of the circle below.
Answer:
area = 28.26 in²
Step-by-step explanation:
area = 3²(π) = 9(3.14) = 28.26 in²
PLEASE HELP ME THIS IS A MAPS TEST PLEASE HURRYIf a car can travel 435 miles on 25 gallons of gas, how many miles per gallon does the car get?
A. 1.74 mpg
B. 13.4 mpg
O c. 16.35 mpg
D. 17.1 mpg
E. 17.4 mpg
Answer: E. 17.4
Step-by-step explanation:
434÷25=17.4
Complete solution please There are three types of grocery stores in a given community. Within this community there always exists a shift of customers from one grocery store to another. On January 1, % shopped at store 1, 1/3 at store 2 and 5/12 at store 3. Each month store 1 retains 90% of its customers and loses 10% of them to store 2. Store 2 retains 5% of its customers and loses 85% of them to store 1 and 10% of them to store 3. Store 3 retains 40% of its customers and loses 50% to store 1 and 10% to store 2. a) Find the transition matrix b) What proportion of customers will each store retain by April 1 and June 1. c) Assuming the same pattern continues, what will be the long-run distribution (equilibrium) of customers among the three stores? d) Prove that an equilibrium has actually been reach in part (c)
Transition matrix We are given that the proportion of customers who shop at store 1, store 2 and store 3 on January 1 are respectively 0.3, 0.33 and 0.4166666666666667. Therefore, the equilibrium has been reached.
In other words, we have to find a vector x such thatAx = xwhere A is the transition matrix.
This is equivalent to solving the system of equations:(0.3716666666666667)x1 + 0.29625x2 + 0.25333333333333335x3
= x1(0.9) + x2(0.05) + x3(0.1)(0.05)x1 + 0.85x2 + 0.4x3
= x1(0.1) + x2(0.85) + x3(0.05)(0.05)x1 + 0.1x2 + 0.5x3
= x1(0.5) + x2(0.1) + x3(0.4)
Solving this system of equations,
we getx1
= 0.33027522935779817x2
= 0.30184331797235023x3
= 0.3678814526698518.
Therefore, the long-run distribution of customers among the three stores is
[0.33027522935779817 0.30184331797235023 0.3678814526698518].d)
Prove that an equilibrium has been reached The equilibrium has been reached if the proportion of customers who will shop at each store in the long-run is unchanged when multiplied by the transition matrix.
We can check if this is true by multiplying the long-run distribution vector by the transition matrix and verifying that it is equal to the long-run distribution vector.
We have
A[0.33027522935779817 0.30184331797235023 0.3678814526698518]
= [0.33027522935779817 0.30184331797235023 0.3678814526698518].
Therefore, the equilibrium has been reached.
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Jake is arranging a poetry reading. There will be 6 poets. The reading should run 90 minutes. Each poet will read for the same length of time. How long will each poet read?
Answer:
Each poet reads for exactly 15 minutes.
Step-by-step explanation:
If it should run for 90 minutes, and there is 6 poets, therefore I'm pretty sure you divide 90 by 6, which is 15.
Answer:
it took him 15 min
Step-by-step explanation:
answer PLEASE????? thanks
Answer:
2 4/5
Step-by-step explanation:
2/5 x 2 = 4/5 + 2 = 2 4/5
_______________
Hope this helps :)
The sum of an infinite geometric series is $27$ times the series that results if the first three terms of the original series are removed. What is the value of the series' common ratio
Let \(a\) be the first term in the series and \(r\) the common ratio. Then the infinite series converges to
\(a + ar + ar^2 + ar^3 + ar^4 + ar^5 + \cdots = \dfrac a{1-r}\)
Removing the first three terms from the left side effectively multiplies the right side by 27, so
\(ar^3 + ar^4 + ar^5 + \cdots = \dfrac{27a}{1-r}\)
By elimination,
\(a + ar + ar^2 = -\dfrac{26a}{1-r}\)
Solve for \(r\). We can eliminate \(a\) so that
\(1 + r + r^2 = -\dfrac{26}{1-r} \\\\ \implies 1-r^3 = -26 \\\\ \implies r^3 - 27 = 0 \\\\ \implies r^3 = 27 \implies \boxed{r=3}\)
PLEASE HELP ME ANSWER ASAP
L = k/f, where k is the variational constant, is the formula for the inverse variation.
Inverse proportionsA mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.
Using the variables length of violin 'l' and frequency of vibration 'f'
If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:
l α 1/f
l = k/f
Hence the formula for the inverse variation is l = k/f where k is the constant of variation.
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The highest common factor of 51 and 87?
Answer:
3
Step-by-step explanation:
Answer:
3
Explanation:The factors of 51 are 1,3,17,51; The factors of 87 are 1,3,29,87
Hope this helps =]
whats love, in words dont give as random answer
Answer:
Love is something you have to take care of figuratively.
Love is life, but love is sometimes not the thing to have sometimes
Love could be great, Love could be bad.
Step-by-step explanation:
find the pattern of 1,2,6,18 and state if its arithmetic or geometric
Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
Find x such that x, 56, 65 is a Pythagorean triple.
Answer:
59
Step-by-step explanation:
If you're talking about angles of a triangle, it'd be 59. Sum of all angles of a triangle equals 180. 180 - (56 + 65) = 59
Hence value of x in triple number is 33
What is Pythagorean triplet?A Pythagorean triple is made up of three positive numbers a, b, and c that add up to c^2 when a^2 + b^2 = c^2. The triple (a, b, c) is widely written, and a well-known example is (3, 4, 5). For each positive integer k, (a, b, c) is a Pythagorean triple, as is (ka, kb, kc).
How to solve?For 3 values to be in Pythagorean triplet \(y^{2} =x^{2} + z^{2}\)(where y is highest value)
hence ,\(65^{2} =56^{2} +x^{2}\)
\(65^{2} -56^{2} =x^{2}\)
\(\sqrt{1089}\)=33
Hence value of x in triple number is 33
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2 box plots. The number line goes from 28 to 33. For Company A Monthly Sales, the whiskers range from 28 to 32, and the box ranges from 31 to 31.8. A line divides the box at 31.25. For Company B monthly sales, the whiskers range from 30 to 33, and the box ranges from 32 to 32.8. A line divides the box at 32.5. Which measure of center would you use to compare the populations represented by the box plots? Which measure of variability would you use to compare the populations represented by the box plots?
Answer:the answer for the first one is MEDIAN for the second one is INTERQUARTILE RANGE (IQR)
Answer:
Step-by-step explanation: it is MEDIAN for the second one is INTERQUARTILE RANGE
What is / are the coefficients in this expressions? 3a+7-8n
Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it