What amount of money is needed at the start of the week so that there is an estimated 2.0% probability of running out of money
Answers
You would need approximately $2.06 (rounding to the nearest cent) at the start of the week to have an estimated 2.0% probability of running out of money.
To determine the amount of money needed at the start of the week to have a 2.0% probability of running out of money, you'll need to use the concept of probability.
Here are the steps to calculate it:
1. Determine the desired probability: In this case, it's 2.0%, which can be written as 0.02 (2.0/100 = 0.02).
2. Calculate the z-score: To find the z-score, which corresponds to the desired probability, you'll need to use a standard normal distribution table or a calculator. In this case, the z-score for a 2.0% probability is approximately -2.06.
3. Use the z-score formula: The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the desired amount of money, μ is the mean, and σ is the standard deviation.
4. Rearrange the formula to solve for x: x = z * σ + μ.
5. Substitute the values: Since the mean is not given in the question, we'll assume a mean of $0 (or whatever the starting amount is). The standard deviation is also not given, so we'll assume a standard deviation of $1.
6. Calculate x: x = -2.06 * 1 + 0 = -2.06.
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Related Questions
can you help me with this
Answers
Answer:
0.4375
Step-by-step explanation:
All you do is divide the 12 and 1/4 by 28!
Answer:
its answer is 0.4375...
sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40. is this a reasonable amount? explain.
Answers
In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is $1.60 more to the cab driver.
How can we know if it is reasonable?A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.
Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%
amount of gratuity = 20% 0f 32 = 6.40
The fare of the cab + gratuity = 32 + 6.40 = 38.40
Check to the cab driver for $40 , implies ($40 - $38.40)= $1.60 more to the cab driver.
Hence, it is reasonable.
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Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.
Answers
Answer:
$4945
Step-by-step explanation:
the interest on the loan can be found by using this formula:
I = P · r · t P = principal, r = interest rate, t= time (in years)
I = 4600(.05)(1.5)
I = 345
Total Amount = Principal plus Interest
Total Amount = 4600 + 345 = $4945
When -2(x − 4) + 1 = 7 is solved, the result is:
Answers
Answer:
1
Step-by-step explanation:
-2(x-4)+1=7
First Distribute the -2.
-2x+8+1=7
Subtract the 8 and 1 from the whole equation.
-2x=-2
Divide both sides of the equation by -2.
x=1
I hope this helps!
Answer:
x = 1
Step-by-step explanation:
-2(x − 4) + 1 = 7
-2x + 8 + 1 = 7
-2x + 9 = 7
-2x = -2
x = 1
Simplify the following
Answers
The grades of a class of students on a midterm report (x) and on the final examination (y) are shown below. Use the data to complete parts (a) and (b). X 80 55 71 73 82 95 97 99 690 у 85 73 78 37 49 85 99 99 71 (a) Estimate the linear regression line (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed
Answers
estimated linear regression line is y = 107.4 - 0.439x.
X = {80, 55, 71, 73, 82, 95, 97, 99}Y = {85, 73, 78, 37, 49, 85, 99, 99}
find:(a) Estimate the linear regression Line Formula to estimate the linear regression line, y = a + bx
Where,b = covariance / variance of Xa = mean of Y - b * mean of X
Let's calculate the mean of X and Y:
Meand Y of X,μx = ΣX / N= (80 + 55 + 71 + 73 + 82 + 95 + 97 + 99) / 8= 652 / 8= 81.5
Mean of Y,μy = ΣY / N= (85 + 73 + 78 + 37 + 49 + 85 + 99 + 99) / 8= 605 / 8= 75.625
Calculate the covariance of X and Y:
COVXY = Σ(X - μx)(Y - μy) / N-1= [(80-81.5)(85-75.625) + (55-81.5)(73-75.625) + (71-81.5)(78-75.625) + (73-81.5)(37-75.625) + (82-81.5)(49-75.625) + (95-81.5)(85-75.625) + (97-81.5)(99-75.625) + (99-81.5)(99-75.625)] / 7= -1664.8 / 7= -237.82857
variance of X:VARX = Σ(X - μx)² / N-1= [(80-81.5)² + (55-81.5)² + (71-81.5)² + (73-81.5)² + (82-81.5)² + (95-81.5)² + (97-81.5)² + (99-81.5)²] / 7= 3800.5 / 7= 542.92857
CalculateCalculate the slope, b:b = COVXY / VARX= -237.82857 / 542.92857= -0.43868
Round the coefficient to three decimal places as needed, b = -0.439Let's calculate the intercept, a:a = μy - b * μx= 75.625 - (-0.439) * 81.5= 107.4135
Round the constant to one decimal place as needed, a = 107.4Linear regression line, y = a + bx= 107.4 - 0.439x
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Calculate the income needed based on the following budgeted expenses.
Month _______
Budgeted Amount
Rent
$350
Utilities
$100
Food
$150
Entertainment
$75
Bus Pass
$25
College Savings
$300
a.
The income would need to be at least $1000.
b.
The income would need to be at least $950.
c.
The income would need to be at least $1125.
d.
The income would need to be at least $850.
Please select the best answer from the choices provided
Answers
Answer:
I think it's a
Step-by-step explanation:
all that added together is 1000
Answer:
Yes its A. The income would need to be at least $1000.
Step-by-step explanation:
Just took the test on edg. 2021
2. The function ln(x)2 is increasing. If we wish to estimate √ In (2) In(x) dx to within an accuracy of .01 using upper and lower sums for a uniform partition of the interval [1, e], so that S- S < 0.01, into how many subintervals must we partition [1, e]? (You may use the approximation e≈ 2.718.)
Answers
To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.
We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.
To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.
Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.
Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.
We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.
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question;
3^n-3^n-1 ÷3^n+1+3^n
plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !
plz fast!!!!!
Answers
Answer:
okay so I am assuming we are dividing okay so here is how we will do it
here are the top and bottom values written more easily
3^n -3^n-1
3^n+1 +3^n
so first we can cancel out the 3^n values then get left with this
3^n-1
3^n+1
now it depends on the instructions but you can leave it like this or you can subtract their powers to get
3^n-2
Step-by-step explanation:
Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex (0,7).
Answers
1) Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)
2) Since the focus is at the y-axis, and the center is at the origin we can start from the following formula:
\(undefined\)what was the average wait time in a drive-thru in 2013?
Answers
Answer:
In 2003 there was only a short waiting time of 116 seconds!
That's less than TWO minutes.
However, over the years, the drive-thru wait time has gone up 20%
In 2021, due to a study/survey, the drive-thru wait time has been 3+ minutes on average.
Answer:
in 2013 the average time was 180.83
Step-by-step explanation:
if the measures, in degrees, of the three angles of a triangle are x,x 10, and 2x-6 the triangle must be ____
Answers
The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.
If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:
x + (x + 10) + (2x - 6) = 180
Combine the terms:
4x + 4 = 180
Subtract 4 from both sides:
4x = 176
Divide by 4:
x = 44
Now, we can find the measures of the other two angles:
x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82
The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.
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neil is analyzing a quadratic function f(x) and a linear function g(x). will they intersect? f(x) graph of the function f of x equals x squared plus 2 g(x) x g(x) 1 3 2 5 3 7 (1 point) yes, at a point with a positive x-coordinate yes, at a point with a negative x-coordinate yes, at a point where x is zero no, they will not intersect
Answers
Yes, the quadratic function f(x) and the linear function g(x) will intersect. The x-coordinate of the point of intersection could be positive, negative or zero, depending on the specific functions.
From the data given, it's not possible to determine the x-coordinate of the point of intersection.
A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Linear functions are usually written as y = mx + b and graphed as straight lines.
Begin with the y-intercept or b value, then use the slope to identify a second point on the graph. Quadratic functions are graphed as curved parabolas and have the formula y = ax2 + bx + c.
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Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you answer and that is NO JOKE❤
Answers
there are 6 students in the class. one of them is to be selected as the best student and another student is to be selected as a runner-up. how many different ways can this be done?
Answers
If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students
Total number of students in the class = 6 students
Number of students for best student = 1 student
Number of students for runner up = 1 students
Total number of students needed = 2
Here we have to use the combination
6\(C_2\) = 6! / 2!(6 - 2)!
= 6! / 2! × 4!
Split the terms and cancel it
= 6 × 5 / 2 × 1
Multiply the terms
= 30 / 2
Divide the numbers
= 15 combinations
Therefore, there are 15 combinations
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Y varies directly with x. If x=6 and y=9.6 what is the constant variation of k
Answers
Answer:
constant variation of k = 1.6
Step-by-step explanation:
if y varies directly to x:
y = kx
9.6 = k * 6
k = 9.6/6
k = 1.6
4+a cuz I don’t get this
Answers
Answer:
This isn't a question lol
Put the question in the replies to this answer and I'll gladly answer it for you.
Step-by-step explanation:
May I have brainliest please? :)
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
Answers
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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What is the actual slope of this line?
Answers
8. u.s states a state is selcted at random from the 50 states of the united states. what is the probabbilty that it is one of the six mew england states?
Answers
10 % is the probabbilty that it is one of the six mew england states.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Number of states that touch the Pacific Ocean = N(P) = 5
Total Number of States = (Sample Space)= N(s) = 50
Number of Event/Draw = 1
Therefore;
Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %
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One layer of tape is wrapped around a metal duct. How long is the piece of tape? Use 3.14 for π . Round to the nearest hundredth if necessary.
Answers
The length of tape needed to wrap the duct is 56.52 inches.
What is the length of tape needed to wrap the layer?A length refers to extent of something from end to end or the greater of two or the greatest of three dimensions of an object.
To get length of tape needed, we have to get circumference of the circle.
The formula for circumference is C = πd where π is 3.14 and d is the diameter.
C = π * d
C = 3.14 x 18
C = 56.52 inches.
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The measure of ZPQS is 180°. The measure of ZRQS is 30°.
R
30°
P
S
What is the measure of ZPQR?
A. 60°
B. 120°
C, 150°
D. 210°
Answers
When Beth buys 4 chocolates, she gets 8 free game tokens. Write the equation for the relationship between x and y. *
Answers
Answer:
y= 2x
y= x+4
Step-by-step explanation:
I am confused here.
since one data is given, the equation could be any of the two.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answers
Answer: y=1/2x-3
can someone solve 5x − 7 = 13 step by step
(instructions: Add 7 to both sides: 5x = 20
Divide both sides by 5: x = 4)
Like the example below
Answers
Answer:
x=4
Step-by-step explanation:
5x-7=13
5x=13+7
5x=20
x=20/5
x=4
Answer:
x = 4
Step-by-step explanation:
5x - 7 = 13
add 7 to both sides:
5x - 7 + 7 = 13 + 7
5x = 20
divide both sides by 5
\(\frac{5x}{5} = \frac{20}{5}\)
x = 4
Simplity.
(x² – 2y + 7) (3x – 3)
A. Ty – 177 +55 - 21
B. 73 – 179² +5y-21
C. 77-7y2 +5y-21
D. Ty - 2y +557-21
-
Answers
Step byCombine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
у = 3х - 2; (3, 2)
Write an equation for the line that passes through the given point and is parallel to the graph of the given equation.
Answers
Answer:
The equation of the line is y = 3x - 7
Step-by-step explanation:
Parallel lines have the same gradient: the equation of the line would have a gradient of 3 (the gradient is the number in front of x).
y = 3x + c
If the line goes through the point (3, 2) then (3, 2) would satisfy the equation of the line. This means we can substitute 3 for x and 2 for y:
2 = 3(3) + c
2 = 9 + c
c = 2 - 9
c = -7
The equation of the line is y = 3x - 7
Hope this helps!
Considering the results from part A it follows that the volume of a cylinder can be found int the same way as the volume of a rectangle prism use your results and what you know about volume to explain how to find the volume of a cylinder with a bias radius of e units and a height of h units
Answers
The following mathematical operation must be carried out in order to determine a cylinder's volume: V = h r².
How can I calculate a cylinder's volume?
We must work out the following mathematical equation in order to determine a cylinder's volume:
V = Πhr² (h = height of cylinder, r= radius)
Let's use an instance.
The size of our example cylinder is 6 centimetres in diameter and 10 centimetres height. What is the size of it?
We substitute the values as follows to determine the volume:
Volume = 3.1415 x 10 cm x 3 cm²
= 307.35 cm³
Therefore, The following mathematical operation must be carried out in order to determine a cylinder's volume: V = h r².
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one and three fourths times two fourths
Answers
Answer:
The answer is 7/8
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
Brainly, please?
the sum of the two numbers is 15 and the difference is 7 what are the two numbers this is 5th grade help please!!!!!
Answers
Answer:
11 and 4
Step-by-step explanation:
x + y = 15
x - y = 7
2x = 22
x = 11
11 - y = 7
-y = -4
y = 4
Answer:
4, 11
Step-by-step explanation:
Lets list all the pairs of numbers that add up to 15
1, 14
2, 13
3, 12
4, 11
5, 10
6, 9
7, 8
Out of these numbers, the only pair of numbers that have a difference of 7 is 4, 11, therefore that is your answer.