The question that is a statistical question is "How many miles did your family drive last week?"
Which question is a statistical question?A statistical question is a question that requires collecting and analyzing data to answer.
It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.
The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).
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ASAPPP PLEAse 25 pointss
Show work it's already solved but show work\
`its 2 questions
Volume First Cylinder: 50.24 in³
Volume Second Cylinder: 127.5625 inch³
Volume Third Cylinder: 904.32 inch³
Volume First Cylinder:
= πr²h
= 3.14(2)² (4)
= 3.14 x 16
= 50.24 in³
Volume Second Cylinder:
= πr²h
= 3.14(2.5)² (6.5)
=3.14 (6.25)(6.5)
= 127.5625 inch³
Volume Third Cylinder:
= πr²h
= 3.14(6)² (8)
=3.14 (36)(8)
= 904.32 inch³
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Angle & segment relationship
Area & Arc Length
Answer:
x = 4
Step-by-step explanation:
given 2 secants drawn from an external point to the circle, then the product of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
x(x + 4x) = 8(8 + 2)
x(5x) = 8(10)
5x² = 80 ( divide both sides by 5 )
x² = 16 ( take square root of both sides )
x = [tex]\sqrt{16}[/tex] = 4
Pls help! Mr Douglass trains a group of student athletes. He wants to know how they are improvising in the number of sit ups they can do. The following dot plots show the number of sit ups each student was able to do last month and this month.
By how much did the mean number of sit ups increase from last month to this month?
1. ¿A cuántas familias tendríamos que estudiar para conocer la preferencia del mercado en cuanto a las marcas de shampoo para bebé, si se conoce que el número de familias con bebés en el sector de interés es de 12 000? El nivel de confianza es del 96%, su error de muestreo es 4% y la proporción esperada es del 12%.
We would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.
How to Solve the Problem?To calculate the sample size needed to determine the market preference for baby shampoo brands, we can use the formula:
n = [(Z^2 * p * q) / E^2]
where:
n = sample size
Z = Z-score for the desired level of confidence (in this case, 1.96 for a 96% confidence level)
p = proportion expected (in this case, 0.12 or 12%)
q = 1 - p
E = margin of error (in this case, 0.04 or 4%)
Substituting these values into the formula, we get:
n = [(1.96^2 * 0.12 * 0.88) / 0.04^2] = 677.16
Since we cannot have a fraction of a family, we round up the sample size to 678 families. Therefore, we would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.
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Find the surface area of the figure (on photo)
Answer:
208
Step-by-step explanation:
4*4(2)+11*4(2)+11*4(2)=208
Find the small squares.
4^2+4^2=32
4*11*4=176
176+32=208
NO LINKS!! URGENT HELP PLEASE!!!
Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector "l" of segment AB.
A(-6, 4), B(14, -12)
Answer:
The perpendicular bisector of a line segment AB is the line that passes through the midpoint of AB and is perpendicular to AB.
To find the equation of the perpendicular bisector of segment AB, we can follow these steps:
Find the midpoint M of AB. The coordinates of M are:M = ( (x1 + x2)/2, (y1 + y2)/2 )
where A = (x1, y1) and B = (x2, y2).
In this case, A = (-6, 4) and B = (14, -12), so the coordinates of M are:M = ( (-6 + 14)/2, (4 - 12)/2 ) = (4, -4)
Find the slope m of AB. The slope of AB is:m = (y2 - y1) / (x2 - x1)
In this case, the slope of AB is:m = (-12 - 4) / (14 - (-6)) = -16/20 = -4/5
Find the slope of the line that is perpendicular to AB. The slope of a line perpendicular to AB is the negative reciprocal of the slope of AB. So, the slope of the line that is perpendicular to AB is:m_perp = -1/m
In this case, the slope of the line that is perpendicular to AB is:m_perp = -1/(-4/5) = 5/4
Use the point-slope form of the equation of a line to find the equation of the perpendicular bisector. The point-slope form of the equation of a line is:y - y1 = m(x - x1)
We can use the midpoint M as the point (x1, y1) and the slope m_perp as the slope m:y - (-4) = (5/4)(x - 4)
Simplifying, we get:
y + 4 = (5/4)x - 5
Moving terms around, we get:(5/4)x - y - 9 = 0
So, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB is:
(5/4)x - y - 9 = 0
Please help me solve these question(giving 50 points)
The restrictions on the polynomial expression [tex]\frac{x^2 - 25}{x - 1} \div \frac{x^2 - x - 30}{x^2 - 4x - 12}[/tex] are at x = -5, -2, 1 and 6
Simplifying the expressionFrom the question, we have
[tex]\frac{27x^2y^3}{45x^4}[/tex]
Divide the variables
So, we have
[tex]\frac{27y^3}{45x^2}[/tex]
Divide 27 and 45 by 9
So, we have
[tex]\frac{3y^3}{5x^2}[/tex]
Hence, the solution is [tex]\frac{3y^3}{5x^2}[/tex], x ≠ 0
The simplest form of a rational expressionGiven that
[tex]\frac{x + 2}{x^2 - 5x - 14}[/tex]
Factorize the numerator
So, we have
[tex]\frac{x + 2}{(x + 2)(x - 7)}[/tex]
Divide
[tex]\frac{1}{x - 7}[/tex]
So, the solution is [tex]\frac{1}{x - 7}[/tex] , where x ≠ 7
The possible functionThe hole is given as (2, 1/3)
This means that the graph is undefined at (2, 1/3)
One possible equation from the list of options is
[tex]f\left(x\right)\:=\:\frac{x\:-\:2}{x^2\:-\:x\:-\:2}[/tex]
Restrictions on the polynomialThe expression is given as
[tex]\frac{x^2 - 25}{x - 1} \div \frac{x^2 - x - 30}{x^2 - 4x - 12}[/tex]
The restrictions on the polynomial is the domain
When solved graphically, we have the restrictions to be at x = -5, -2, 1 and 6
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I don't know this I've tried but I just don't know.
Answer:the median is Q2 aka 105
Step-by-step explanation:
1. A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 40 centimeters. The blueprint has a scale of three centimeters to four feet. What will be the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.
the actual area of the base of the fountain, in square feet, after it is built is approximately 1.3 square feet (rounded to the nearest tenth of a square foot).
How to solve the question?
To find the actual area of the base of the fountain, we need to convert the measurements from the blueprint to the actual measurements.
First, we need to find the radius of the circular base. The diameter of the base is given as 40 centimeters on the blueprint, so the radius is half of that, or 20 centimeters.
Next, we need to convert the scale of the blueprint from centimeters to feet. The scale is given as three centimeters to four feet, which can be simplified to a ratio of 3:4. To convert from centimeters to feet, we need to multiply by a conversion factor of 1 foot/30.48 centimeters, since there are 30.48 centimeters in a foot.
So, to find the actual radius of the circular base in feet, we multiply the blueprint radius (20 centimeters) by the conversion factor:
20 centimeters * (1 foot/30.48 centimeters) = 0.656168 feet
Now that we have the actual radius of the circular base, we can find the actual area of the base. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. Plugging in the actual radius we just found, we get:
A = π(0.656168 feet)^2 = 1.34977 square feet
Therefore, the actual area of the base of the fountain, in square feet, after it is built is approximately 1.3 square feet (rounded to the nearest tenth of a square foot).
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The length of a rectangle is 2 inches more than 2 times the width. If the area of the rectangle is 40
square inches, find the length and the width.
The length of the rectangle is 10 inches and the width is 4 inches.
What is the area of the rectangle?
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Let's assume that the width of the rectangle is "x" inches.
From the given information, we can write an equation for the length "L" in terms of the width "x":
L = 2x + 2
We also know that the area of the rectangle is 40 square inches:
A = L * x = 40
Substituting the expression for "L" in terms of "x" into the area equation, we get:
(2x + 2) * x = 40
Expanding the left-hand side of the equation and simplifying, we get:
2x² + 2x - 40 = 0
Dividing both sides by 2, we get:
x² + x - 20 = 0
This is a quadratic equation that can be factored:
(x + 5)(x - 4) = 0
The solutions are x = -5 and x = 4. Since the width of the rectangle cannot be negative, the only valid solution is:
x = 4
Substituting this value for "x" into the equation for "L", we get:
L = 2x + 2 = 2(4) + 2 = 10
Therefore, the length of the rectangle is 10 inches and the width is 4 inches.
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What is 5a^2b + 15ab^2 factories fully
Answer:
[tex]5 {a}^{2} b + 15a {b}^{2} = [/tex]
[tex]5ab(a + 3b)[/tex]
Felipe the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 6 clients who did Plan A and 5 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Felipe trained his Monday clients for a total of 7 hours and his Tuesday clients for a total of 3 hours. How long does each of the workout plans last?
Plan A lasts for 2/7 hours or approximately 17.14 minutes, and Plan B lasts for 9/7 hours or approximately 1 hour and 17.14 minutes.
What is an equation example?In algebra, the definition of an equation in its simplest form is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x 5 = 14 is an equation where 3x 5 and 14 are two expressions separated by an equal sign.
Let's say plan A takes x hours and plan B takes y hours.
Based on the given data, we can create two equations:
Monday: 6x + 5y = 7
Tuesday: 2x + 3y = 3
We can solve this system of equations by elimination or substitution.
Eliminating, we can multiply the second equation by two and subtract it from the first equation:
(6x + 5 y) - 2 (2x + 3y) = 7 - 2 (3)
Simplifying this, we get:
2x - y = 1
Using substitution, we can solve an equation in one variable and replace it with another equation:
From the first equation we can solve for x:
6x + 5y = 7
6x = 7-5 years
x = (7-5 years) / 6
Substituting this into the second equation, we get:
2 ((7-5 years) / 6) + 3 y = 3
Simplifying this, we get:
7 y = 9
y = 9/7
Now that we know y, we can substitute it back into both equations to solve for x:
6 x + 5 (9/7) = 7
Simplifying this, we get:
x = 2/7
Therefore, Plan A takes 2/7 hours, or approximately 17.14 minutes, and Plan B takes 9/7 hours, or approximately 1 hour and 17.14 minutes.
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ANSWER ASAPP!!!!!!
AAAA
A cow is tethered to one corner of a square barn, 8 feet by 8 feet, with a rope 130 feet long. What is the maximum grazing area for the cow?
The maximum grazing area for the cow is approximately 53,343.08 square feet.
How to Find the maximum Grazing Area?The maximum grazing area for the cow can be found by imagining a circle with radius equal to the length of the rope (130 feet) centered at the corner of the barn where the cow is tethered. The grazing area is the portion of the circle that lies outside the barn.
Since the barn is 8 feet by 8 feet, it covers a square area of 64 square feet. The radius of the circle is 130 feet, so the area of the circle is π(130)^2 square feet.
To find the maximum grazing area, we need to subtract the area of the barn from the area of the circle.
Area of circle = π(130)^2 square feet = 53,407.08 square feet
Area of barn = 64 square feet
Maximum grazing area = Area of circle - Area of barn
= 53,407.08 - 64
= 53,343.08 square feet (rounded to two decimal places)
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what are 3 differnt types of rocks
Answer:
Step-by-step explanation:
sedimentary, igneous, metamorphic
Answer: sedimentary, igneous, metamorphic.
have an amazing day and crush that homework/class!
branliest?
If (x -1) is a factor of the polynomial f(x) = 4x²- 4x² - x - K, where K is a Constant.
1. What is the Value of K?
2. What are the roots of the equation
Answer:
If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:
f(x) = (x-1)(ax + b)
where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:
f(x) = (x-1)(ax + b) = 4x² - 4x - K
Expanding the left side of the equation, we get:
ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K
Now we can equate the coefficients of the like terms on both sides of the equation.
The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:
a = 4
The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:
b - a = -4
Substituting a=4, we get:
b - 4 = -4
Solving for b, we get:
b = 0
So the polynomial can be written as:
f(x) = (x-1)(4x + 0) = 4x² - 4x
Therefore, K = 0.
To find the roots of the equation, we need to set f(x) = 0 and solve for x:
4x² - 4x = 0
Factor out 4x:
4x(x - 1) = 0
So the roots of the equation are x = 0 and x = 1.
Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?
Answer: direction angle of c is pi/4.
Step-by-step explanation: We can find c by adding the corresponding components of a and b:
c = a + b = ⟨–7, 3⟩ + ⟨–2, –12⟩ = ⟨–9, –9⟩
To find the magnitude of c, we can use the formula:
|c| = sqrt(c1^2 + c2^2)
where c1 and c2 are the x- and y-components of c, respectively. In this case, we have:
|c| = sqrt((-9)^2 + (-9)^2) = sqrt(162) = 9sqrt(2)
To find the direction angle of c, we can use the formula:
theta = atan(c2 / c1)
where theta is the angle between the positive x-axis and the vector c. In this case, we have:
theta = atan((-9) / (-9)) = atan(1) = pi/4
So the direction angle of c is pi/4.
Therefore, the magnitude of c is 9sqrt(2) and the direction angle of c is pi/4.
Max had 1 litre of syrup. He used 1/5 litre of the syrup on Saturday and 5/6 of the remaining syrup on Sunday. How many litres of syrup did Max have left?
Answer:
2/15 litre
Step-by-step explanation:
There is 1 litre in total. Max used 1/5 litre.
1 - 1/5 = 4/5 litre
Then he used 5/6 of the remaining 4/5 litre. He would have 1/6 of 4/5 litre left.
1/6 * 4/5 = 2/15 litre
or
You could do 5/6 * 4/5 to find out how much syrup he used on Sunday and then subtract that from 4/5 litre. It will give you the same answer
Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?
The equation representing the relationship between the number of weeks (w) and the number of books collected (b):
b = 10w + 0
b = 10w
How to solveWe can observe from the table that the number of books collected increases by 10 for each week.
Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:
b = mw + c
where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).
The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):
10 = 10 * 1 + c
c = 0
Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):
b = 10w + 0
b = 10w
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the data in the form of a table, which shows the total number of books collected (b) for different number of weeks (w).
Weeks (w) Books Collected (b)
1 10
2 20
3 30
4 40
Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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DETERMINE IF THE SEQUENCES ARE ARITHMETIC, IF SOFIND THE COMMONDIFFERENCE, THE 52 TERM, AND EXPLICIT FORMULA
31, -69, -169, -269
The common difference of the sequence is - 100.
The explicit formula of the sequence is 131 - 100n.
The 52 term of the sequence is -5069.
How to find the explicit formula of a sequence?Let's find the explicit formula of the arithmetic sequence as follows:
31, -69, -169, -269
We will find the common difference and the 52 terms.
Therefore,
a + (n + 1)d = nth term
where
a = first termd = common differencen = number of termsTherefore,
d = common difference = -69 - 31 = - 100
Therefore,
nth term = 31 + (n - 1)-100
nth term = 31 - 100n + 100
nth term = 131 - 100n
Let's find the 52 term
Hence,
52 term = 131 - 100(52)
52 term = 131 - 5200
52 term = -5069
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Mr. Greene created a data set that represents the daily high temperatures, in degrees Fahrenheit, in his city over a week. The values in the table describe the data set. Minimum 73 Mean 77.86 Mean Absolute Deviation 2.73 Median 79 Interquartile Range 6 Maximum 82 Mr. Greene wants to use a single number that summarizes the temperatures for each day. Which value should he use? A. interquartile range B. mean absolute deviation C. mean D. maximum
The correct option is C. mean, that is Mr. Greene should use the mean temperature, which is 77.86°F.
What is a mean value?In mathematics, the mean value is a measure of central tendency of a set of numbers. It is also known as the arithmetic mean and is found by adding all the numbers in a set and dividing the sum by the total number of values. The mean is commonly used to represent the typical or average value of a set of data. It is a useful tool in statistics and other branches of mathematics for analyzing data and making predictions. The mean value can be affected by outliers or extreme values in a set of data, which can skew the results. However, in many cases, the mean provides a reliable and useful measure of central tendency.
Mr. Greene should use the mean temperature, which is 77.86°F, to summarize the temperatures for each day. The mean is a good measure of central tendency when the data set is approximately symmetric and has no significant outliers, which appears to be the case here. Additionally, using the mean will provide a single number that is representative of the entire data set. The interquartile range and mean absolute deviation are measures of spread and do not provide a summary of the temperatures for each day, and the maximum temperature is just one value and may not be representative of the entire data set.
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A surge function is a function of the form
f (t) = Atne(−bt)
The values A, n, and b are the parameters of the function.
This function accurately represents the way a drug interacts in the bloodstream. Studying
this function is essential to doctors and pharmacists because it allows them to administer
dosages of medicine correctly.1
A drug dose is being designed for a 90kg male patient. The amount of the drug in the
patient’s bloodstream after t hours, measured in nanograms per milliliter (ng/ml) is given
by a surge function.
Any positive value of A can be achieved by increasing or decreasing the amount of
medicine given. However, depending on the type of delayed release mechanism selected
there are choices possible for the value of the pair (n,b): The achievable pairs are listed in
the table below.
Delay Type n value b value
Extended 2 0.3
Medium 3 0.5
Rapid 3 0.7
The medical requirements for the treatment are:
• The dose (in ng/ml) may not exceed 100 at any time.
• The dose must fall to be at or below 20 ng/ml by 24 hours.
Within these parameters, the treatment effect will be measured in ng/ml-hours. (1
ng/ml concentration for 1 hour is 1 ng/ml-hour of treatment). The objective is to obtain
the maximum possible treatment effect while ensuring the requirements are met.
1Tarko, Olta (2021) ”Surge Functions and Drug Interactions,” Undergraduate Journal of Mathematical
Modeling: One + Two: Vol. 12: Iss. 1, Article 7
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
Answer:
B
Step-by-step explanation:
Is (-2, 10) a solution to this system of equations?
y = -4x + 2
y = -6x - 2
yes
no
Answer:
Yes
Step-by-step explanation:
(-2, 10)
x = -2
y = 10
y = -4x + 2
Substitute or plug in the x and y values
10 = -4(-2) + 2
Multiply(remember a negative times a negative is a positive)
10 = 8 + 2
Add
10 = 10
Because ten is equal to ten (-2, 10) is a solution for this part
Now take your next equation and repeat the same steps
y = -6x - 2
10 = -6(-2) - 2
10 = 12 -2
10 = 10
(-2, 10) is a solution to this system of equations
A chemical company makes two brands of antifreeze. The first brand is 35% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 70 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Therefore , the solution of the given problem of percentage comes out to be 14 gallons of the first brand and 56 gallons of the second brand must be utilised.
What is percentages?In statistics, a figure or metric than may be presented as a percentage or 100 is denoted by the abbreviation "a%". Another unusual spelling is "pct," "pct," and "pc." The percent symbol ("%") is the method that is most usually used for this. Additionally, there are no indications or predetermined ratios of any component to the whole. Numbers are effectively integers since they frequently add up to 100.
Here,
Let's write "x" for the first brand's (35% pure antifreeze) number of gallons and "y" for the second brand's (60% pure antifreeze) number of gallons.
Given:
70 gallons of mixture are required in total.
Desired antifreeze content in the combination is 55%
Based on the information provided, we can construct the following system of equations:
=> Equation 1: x + y = 70
=> Equation 2: 0.5*70 = 0.55x + 0.60y
=> x = 70 - y
=> 0.35(70 - y) + 0.60y = 0.55 * 70
=> 24.5 - 0.35y + 0.60y = 38.5
=> 0.25y = 14
=> y = 56
=> x = 70 - 56
=> x = 14
In order to get 70 gallons of a mixture that contains 55% pure antifreeze, 14 gallons of the first brand and 56 gallons of the second brand must be utilised.
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A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 17 years with a variance of 16 . If the claim is true, in a sample of 43 wall clocks, what is the probability that the mean clock life would be less than 17.9 years? Round your answer to four decimal places.
There is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.
What is probability?Probability is a metric used to express the possibility or chance that a particular event will occur.
Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.
Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
So, the likelihood that the average clock life would exceed 12.5 years:
This is the p-value of Z when X = 12.5 subtracted by 1.
So,
Z = X - μ/σ
Z = 12.5 - 14/.07071
Z = -2.12
Z = The pvalue for -2.12 is 0.0170.
1 - 0.0170 = 0.9830
The likelihood that the mean clock life will be longer than 12.5 years is 0.9830, or 98.30%.
Therefore, there is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.
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Complete question:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would be greater than 12.5 years? Round your answer to four decimal places.
At how many square feet will both companies be at the same amount
If the yard is 2000 feet², both companies will charge the same price.
What is amount?In mathematics, the word "amount" is a broad one that refers to the size or quantity of something, typically given as a numerical value.
It can be used in a number of circumstances where there is a concern with money, measurements, or the quantity of an item.
We must assume both organisations' expenses to be equal and then solve for the yard size to determine the point at which their costs are equal.
Let's assume that x is the yard size at which expenses are equal.
7.5x + 24.5 = 16x + 23.5
When we simplify this equation, we obtain:
0.5x = 1
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(07.03 MC)
Given the function h(x)=-2√x +3-1, which statement is true about h(x)?
Given the function h(x) = -2√(x + 3) - 1, the statement that is true about h(x) include the following: B. the function is decreasing on the interval (-3, ∞).
What is a decreasing function?For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.
For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.
By critically observing the graph of the given function, we can reasonably infer and logically deduce that it is decreasing over the interval (-3, ∞).
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