If the population mean of the distribution of distances is 0.5, what is the probability that the sample mean will be 0.54 or larger? Four decimals
Answers
The probability that the sample mean will be 0.54 or larger, given a population mean of 0.5, can be calculated using statistical techniques.
To calculate the probability, we need additional information about the distribution of distances, such as the standard deviation or the sample size. The probability can be determined using the central limit theorem if the sample size is large enough or if the population distribution is approximately normal.
Assuming the population distribution is approximately normal or the sample size is large, we can use the z-score formula to calculate the probability. The z-score measures the number of standard deviations a particular value is from the mean. In this case, we want to calculate the probability of obtaining a sample mean of 0.54 or larger, given a population mean of 0.5.
First, we calculate the z-score using the formula:
z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Without information about the standard deviation or sample size, we cannot calculate the z-score or the probability. If you provide these additional details, I can assist you further in calculating the probability.
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Related Questions
help or my mom mom will beat me
Answers
Answer:
d. the unit rate is $30.00 per hour!!!!!!!!
Step-by-step explanation:
the fraction is 240/8. divide 240 by 8 to get the unit rate.
plss find this one HCF
a³,a²,a
Answers
Step-by-step explanation:
a³,a²,a
first expression
=a×a×a
second expression
=a×a
third expression
=a
HCF=a^4
Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.
A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?
B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?
Answers
A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.
B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.
What is the monthly payment required for an ordinary annuity set up 30 years before retirement?To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.
How much must be paid monthly for an ordinary annuity set up 20 years before retirement?For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.
It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.
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a sign in the elevator of a college library indicates a limit of 16 persons. in addition, there is a weight limit of 2,500 pounds. assume that the average weight of students, faculty, and staff at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. a random sample of 16 persons from the campus will be selected.
Answers
The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%
Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.
Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.
The total weight of a group of 16 individuals can be estimated as follows:
Total weight = 16 x average weight = 16 x 155 = 2480 pounds
To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:
Standard deviation of total weight = square root of (n x variance)
where n is the sample size (16) and variance is the square of the standard deviation (29 squared).
Standard deviation of total weight = square root of (16 x 29^2) = 232.74
Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:
Z-score = (2,500 - 2,480) / 232.74 = 0.86
Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.
Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.
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edin has £300 in his savings account.
his bank offers him a fixed 5% simple interest rate per annum,
for a peirodof 3 years.
how much interest will he earn in 3 years?
Answers
The simple interest earned by Edin after 3 years is $45.
Define the term simple interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest does not really compound, therefore a creditor will indeed charge interest upon that principal sum, and a borrower will never be required to pay further interest on the interest which has already accrued.The formula for the simple interest is-
SI = PRT/100
Amount P = £300Rate of Interest r = 5%Period n = 3 yearsThe interest which would be earned in 3 years:
SI = 300*5*3 / 100
SI = 45
Thus, the interest earned by Edin after 3 years is $45.
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A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 29\deg with the ground? Give your answer to the nearest tenth of a foot.
Answers
x = 147 / 0.5446 ≈ 270.2 ft
To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.
Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:
x = √((160 - 13)² + x²)
Next, we apply the tangent function to the given angle:
tan(29°) = (160 - 13) / x
Simplifying, we have:
0.5446 = 147 / x
To solve for x, we rearrange the equation:
x = 147 / 0.5446 ≈ 270.2 ft
Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.
Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.
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What mass of water will fill a tank that is 50cm long, 25 cm wide, and 10 cm high? Express the answer in grams.
Answers
Answer:150000 grams
Step-by-step explanation:
The density of water is 1g/cm^3, The mass of water needed to fill the tank is 150000 grams
Due to be heavy rain , Mother warned Dia not to go in
thegarden. Insted she
conduted anactivity to play with the number . She asked that if a number is divided by 5 ,reminder is 1. If the same number is devided by 2 reminder is 0. What should be the last digit of the number?
Answers
Answer:
Hi,
6
Step-by-step explanation:
the number divided by 5 has a remainder of 1 , its last digit is 1 or 6.
the number is divisible by 2, its last digit is 0 or 2,or 4, or 6 or 8.
Both conditions give : the last digit must be 6.
Tim throws a stick straight up in the air from the ground. The function h = -16t^2+ 48t models the height, h, in feet, of
the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick
reaches a height of more than 8 feet?
Answers
Answer:
\(-2t^2+ 6t -1 > 0\)
Step-by-step explanation:
Function Modeling
The height h in feet of the stick threw by Tim is modeled by the function:
\(h = -16t^2+ 48t\)
where t is the time in seconds.
It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.
Using the given model, we write the inequality:
\(-16t^2+ 48t > 8\)
Dividing by 8
\(-2t^2+ 6t > 1\)
Subtracting 1, we get the required inequality:
\(\mathbf{-2t^2+ 6t -1 > 0}\)
Answer:
you want more than 8 feet so the answer would be -16t^2+48t>8
Step-by-step explanation:
h=-16t^2+48t
-16t62+48t>8
-16t^2+48t=8
divide both sides of the equal sighn by 8
-2t^2+6t=1
put the symbol back in
-2t^2+6t>1
substitute a random mumber for t
-2(5)^2+6(5)>1
-10^2+30>1
subtract 30 from both sides
100>-29
state is true so -16t62+48t>8 is the correct answer
solve the differential equation by variation of parameters. y'' y = sec() tan()
Answers
The general solution of the differential equation y''(x) + y(x) = sec(x) tan(x) is y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x); here c₁ and c₂ are constants.
To solve the differential equation y''(x) + y(x) = sec(x) tan(x) using variation of parameters, we first need to find the solutions to the homogeneous equation y''(x) + y(x) = 0.
The auxiliary equation for the homogeneous equation is r² + 1 = 0, which has complex roots r = ±i.
The corresponding solutions to the homogeneous equation are y₁(x) = cos(x) and y₂(x) = sin(x).
Next, we need to find the particular solution using the method of variation of parameters. Let's assume the particular solution has the form y_p(x) = u(x)cos(x) + v(x)sin(x).
Now, we need to find u(x) and v(x) by substituting this form into the original differential equation and solving for u'(x) and v'(x).
Differentiating y_p(x), we get y_p'(x) = u'(x)cos(x) - u(x)sin(x) + v'(x)sin(x) + v(x)cos(x).
Taking the second derivative, y_p''(x) = -u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x).
Substituting these derivatives into the original differential equation, we have:
(-u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x)) + (u(x)cos(x) + v(x)sin(x)) = sec(x)tan(x).
Simplifying, we get:
u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x).
To find u'(x) and v'(x), we solve the following system of equations:
u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x),
u(x)cos(x) + v(x)sin(x) = 0.
We can solve this system using various methods such as substitution or elimination.
Solving the system, we find:
u'(x) = sin(x)sec(x),
v'(x) = -cos(x)sec(x).
Integrating these expressions, we obtain:
u(x) = -ln|sec(x) + tan(x)| + C₁,
v(x) = -ln|sec(x) + tan(x)| + C₂.
Finally, the particular solution is given by:
y_p(x) = (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).
The general solution to the differential equation is the sum of the homogeneous and particular solutions:
y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).
Here, c₁ and c₂ are constants.
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Question 4
In a x-y coordinate plane, which of the following
point is vertically above the point(9,-2)?
A. (-3,3)
B. (3,-9)
C. (-9,9)
D. (9,-9)
Answers
Answer:
To be vertically above that point you gave (9,-2), the other point should have the same x-value, but a y-value that’s higher than -2. So something like (9,5) or (9,7) or even (9,0).
Step-by-step explanation:
Add the following weights:
5 lb 9 oz
+ 1 lb 9 oz
Ib
OZ
Answers
have a great day :)
Q(3,5),R(3,1),S(-1,1),T(-1,5) Determine weather QRST is a rhombus, rectangle, or a square
Answers
Answer:
1/2
Step-by-step explanation:
1.0 :1/2
I used a graphing calculator
The answer is a square
what is the answer to this problem?
Answers
.
A = 9
B = 19
.
Explain.
If median are getting from " ( a + b ) ÷ 2 " . So :
.
Find b :
.
(a + b) ÷ 2 = Median
(17 + b) ÷ 2 = 18
17 + b = 18 × 2
17 + b = 36
b = 36 - 17
b = 19
.
In conclusion, the value of b is 19
.
Find a :
\( \frac{7 + a + 12 + 15 + 17 + 19 + 20 + 22 + 24 + 25}{10} = 17\)
\( \frac{161 + a}{10} = 17 \\ \)
\(161 + a = 17 \times 10\)
\(161 + a = 170\)
\(a = 170 - 161\)
\(a = 9\)
.
In conclusion, the value of a is 9
.
.
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GAK BISA BAHASA INGGRIS :(please please please help me
Determine the value of a in the right triangle.
Hint: The Pythagorean Theorem states that for any right
triangle, the sum of the squares of the legs will always
equal the square of the hypotenuse.
(leg₁)² + (leg₂)² = (hypotemuse) ²
Answers
The value of a in the right triangle is 5
Determining the value of a in the right triangle.From the question, we have the following parameters that can be used in our computation:
The right triangle
Using the pythagoras theorem, we have
(leg₁)² + (leg₂)² = (hypotemuse) ²
Substitute the known values in the above equation, so, we have the following representation
(a + 1)² + (a + 3)² = (a + 5)²
When evaluated, we have
a = 5
Hence, the value of a is 5
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Mr. Billups brings $100 to a fundraiser. He wants to leave the event with at least $40 in his pocket. Guests at the fundraiser buy raffle tickets for several different prizes. Each raffle ticket costs $2.50. What is the maximum number of raffle tickets he can buy?
Answers
he can buy 40 raffle tickets
Step-by-step explanation:
just do that math
Answer:
24 tickets = maximum
Step-by-step explanation:
Let x = each raffle ticket Mr. Billup can buy
Since he wants to leave with $40, he can spend $60.
2.50x = 60
x = 24
Therefore, 24 is the maximum number of raffle tickets he can buy because if he goes over that limit, he doesn’t leave with $40.
I hope this helped and please mark me as brainliest!
what are scalene triangles
Answers
A scalene triangle is a triangle with three different side lengths and three different angle measurements.
All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.
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Choose the equation of the line that is parallel to the x axis
A - x=4
B - x+y=0
C - x=y
D - y=4
Answers
Answer:
y=4
Step-by-step explanation:
The x axis is a horizontal line ( y=0)
A line parallel would also be of the form y= something and be a horizontal line
The only answer of the form y= is y=4
if the probability that a particular event occurs is 7/10, what are the odds favoring the event not occurring? express your answer in the form a:b.
Answers
For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to
7 : 3.
As given in the question,
Probability of any particular event occurring is equal to 7 /10
Probability of any particular event not occurring is = 1- (7/10)
= (10 -7) /10
= 3/10
Probability of the odds favoring the events which are not occurring
= (7 /10) / (3/10)
= ( 7 × 10) / (3 × 10)
= 7 /3
Odds favoring the events which are not occurring in the form a: b
= 7 : 3
Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.
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What is StartFraction 5 pi Over 6 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.
Answers
150°
Explanation:
Remember that pi radians is equal to 180 degrees so you can just derive from that equation
Answer:
57 degrees and for question #2 its 67.5
Step-by-step explanation:
edge 2021
What is the length of EF in the right triangle below?
18
12
Answers
The length of EF in the right triangle is √180. The correct option is A. √180
Pythagorean TheoremThe Pythagorean theorem states that in a right triangle, the square of the longest side (hypotenuse) equals sum of squares of the other two sides.
In the given diagram, we can then write that
/DE/² = /DF/² + /EF/²
From the given information,
/DE/ = 18
/DF/ = 12
Putting the parameters into the equation, we get
18² = 12² + /EF/²
324 = 144 + /EF/²
/EF/² = 324 - 144
/EF/² = 180
/EF/ = √180
Hence, the length of EF in the right triangle is √180. The correct option is A. √180
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The multiplicative inverse of 3 1/5 is _______
Answers
Answer:
3 1/5 = 16/5 (If 3 1/5 is a mixed number)
=> The multiplicative inverse of 3 1/5 is 5/16
Step-by-step explanation:
Find the component form of the um of u and v with direction angle u and v.
Magnitude
u = 14
Angle
u = 45°
Magnitude
v = 70
Angle
v = 180°
Answers
(14cos45° + 70cos180°, 14sin45° + 70sin180°) = (17.9, -55.1) is the component form of the sum of u and v with direction angles u and v.
What's an angle?The amount of rotation that occurs between two planes or straight lines is what is meant to be meant by the geometrical term "angle." A full circle is 360 degrees, and an angle is measured in degrees. Right angles (90 degrees), acute angles (less than 90 degrees), and obtuse angles (more than 90 degrees) are the most prevalent types of angles. Depending on how they relate to one another, angles can also be broken down into complementary or supplementary categories. The sum of complementary and supplementary angles is 90 degrees, while the sum of the two is 180 degrees.
Component form :The vector addition formula can be used to determine the component form of the sum of u and v. According to this formula, the direction angle of the vector sum is equal to the arctangent of the ratio of the sum of the y-components of the two vectors to the sum of the x-components of the two vectors, while the magnitude of the vector sum of two vectors is equal to the square root of the sum of the squares of each vector's magnitude.
The component form of the sum of the given vectors u and v is as follows:
Magnitude = √(14²) + (70²)) = 70.45
The direction angle is arctan((14 × sin(45) + 70×sin(180)) / (14×cos(45) + 70×cos(180)))
= 153.43°
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Last one for this test
Answers
Answer:
1) 0
2) 0
3) 0
Explanation:
A 9 feet tall dragon ice sculpture is melting at a rate of 1.75 feet per hour. Write a linear function that represents this scenario.
Answers
Answer:
\(y = 9 - 1.75x\)
Step-by-step explanation:
Given
\(Initial\ Height = 9ft\)
\(Rate = 1.75ft\) per hour
Required:
Determine the linear function
Let y represent the function and x represent the number of hours
The function can be represented with:
\(y = Initial\ Height- Rate * x\)
We used minus (-) in the equation because the question indicates that the height of the sculpture reduces.
So, we have:
\(y = 9 - 1.75 * x\)
\(y = 9 - 1.75x\)
A casting director wishes to find one male and one female to cast in his play. If he plans to audition 11 males and 9 females, in how many different ways can this be done?
Answers
EXPLANATION
Since there are 11 males and 9 females out of wich 1 male and 1 female is to be selected.
The number of ways to select 1 male from 11 are 11C_1
The number of ways to select 1 female from 9 are 9C_1
So, the number of ways to select 1 male and 1 female is:
n = 11C_1 x 9C_1
n = 99
Answer: This can be done in 99 different ways.
Find the slope of the tangent line to the given polar curve at the point specified by the value of theta.
r = 6 cos(theta),
theta = ????/3
Answers
The slope of the tangent line to the given polar curve at the point specified by the value of theta is m= 1/√3.
What is meant by tangent line?A straight line that just touches a plane curve at a particular location is referred to as the tangent line (or tangent) to the curve in geometry. It was described by Leibniz as the line connecting two points on the curve that are endlessly near to one another. A line passes through the point (c, f(c)) on the curve and has a slope of f'(c), where f' is the derivative of f. This is more properly referred to as being a tangent of the curve y = f(x) at a point x = c. Curves in n-dimensional Euclidean space and curves in space have a comparable definition.
The tangent line is "passing" through the point of tangency—the intersection of the tangent line and the curve as it travels.
Given,
r=6cosθ
f'(θ)=-6sinθ
θ=π/3
dy/dx=(f'(θ)sinθ+f(θ)cosθ)/(f'(θ)cosθ-f(θ)sinθ)
dy/dx=( -6sinθsinθ+6cosθcosθ)/(-6sinθcosθ-6cosθsinθ)
=(6cos²θ-6sin²θ)/-12 sinθcosθ
=6(cos²θ-sin²θ)/-6(2sinθcosθ)
=6cos2θ/-6sin2θ
=-cos2θ/sin2θ
=-cot2θ
Slope of the given polar curve at θ=π/3 is
m=dy/dx
m= -cot(2(π/3))
m = cot(-2π/3)
m= 1/√3
Therefore, the slope of the tangent line to the given polar curve at the point specified by the value of theta is
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Please help me get the right answer please I can’t fail.
Answers
Answer:
A.
Step-by-step explanation:
it’s A because it has addition (sum) and it has multiplication (product)
When given a line such as y + 2 = 1/2 (x + 20), how do I find the slope intercept form?
Answers
Given the equation of the line:
\(y+2=\frac{1}{2}(x+20)\)The slope-intercept form is: y = m * x + b
Where (m) is the slope
So, we will solve the given equation for (y)
\(\begin{gathered} y+2=\frac{1}{2}\cdot x+\frac{1}{2}\cdot20 \\ y+2=\frac{1}{2}x+10 \\ y=\frac{1}{2}x+10-2 \\ \\ y=\frac{1}{2}x+8 \end{gathered}\)so, the answer will be the slope-intercept form:
\(y=\frac{1}{2}x+8\)2x -3 = 7 pls answer the question
Answers
Answer:
\(x = 5\)
Step-by-step explanation:
\(2x - 3 = 7 \\ 2x = 7 + 3 \\ 2x = 10 \\ divide \: both \: sides \: by \: 2 \\ \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5\)