The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.
(a).
The mean number of moths = 60 traps
Now, the properties of normal distribution and central limit theorem are used.
mean of the individual moth counts = 0.5.
The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = (0.7 / [tex]\sqrt{60}[/tex])
standard deviation = 0.0905
the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.
(b) .
By using the central limit theorem
The average number of moths in 60 traps = 0.4
The z-score formula is to be calculated by using:
Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60))
Z = -1.94
The probability of a Z-score greater than -1.94 is approximately 0.9738.
Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.
To learn more about probability :
brainly.com/question/30034780
#SPJ4
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?a) Neverb) When the correlation coefficient is close to -1 or +1.c) When the correlation coefficient is equal to -1 or +1.d) When the scatterplot of the data has little vertical variation.
Option a) Never. A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, regardless of its value or the characteristics of the scatterplot.
Correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other variables or factors that are responsible for the observed correlation, and a causal relationship cannot be established from observational data alone. To establish causality, experimental studies are typically needed, where the potential cause is manipulated and the effect is measured.
Learn more about correlation coefficient here: brainly.com/question/15577278
#SPJ4
what is 115000 minutes to hours?
The value of minutes can be converted to hours by dividing the value of minute by 60 so 115000 minutes means 1916.66 hours.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
With the help of our conversion tools, you can convert 115000 Minutes to Days (min to d). Use the direct conversion formula below to convert 115000 min to d.
115000 min = 79.861111111111 d.
Also, you can change 115000 Minutes into other Time (common) units.
We will create an equation to convert 115000 minutes to hours, then utilise the equation to perform the conversion. Since there are 60 minutes in an hour, we can construct our equation as follows:
Hours = Minutes / 60
In the equation above, we may convert 115000 minutes to hours by substituting 115000 minutes, giving the following result:
115000 / 60 = Hours
1916 2/3 hours divided by 115000 minutes is 1916.66667 hours.
Learn more about Minutes to hours:
https://brainly.com/question/7780685
#SPJ4
Annie time running the race was 4.08 seconds less than karen time her goal was to complete the race in less than 39.50 seconds did she meet her goal
Answer:
No she didn't meet her goal
Step-by-step explanation:
Time taken by Karen = 43.52 seconds
Time taken by Annie = 4.08 seconds less than Karen or 43.52-4.08 = 39.44 seconds
No. Annie missed her goal by 0.06 seconds
Find area and perimeter of the following shape. 250°
6 cm 2 cm
The perimeter and the area for each shape are given below.
How to calculate the perimeterFor figure (i) there are 11 small square and area of each small square is 1 sq cm.
Area of the given figure =(11×1)cm =11 cm²
Perimeter of the given figure =(18×1)cm=18 cm
For figure (ii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm
For figure (iii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ1
How to convert 118 kg to lbs?
The value which we convert from 118 kilograms to pounds is equal to ( 260.15 ) pounds ( round upto two decimals ).
Convert 118 kilograms to pounds using standard relation :
1 kilograms is equivalent to 2.20462 pounds
To covert 118 kilograms to pounds we have :
⇒ 118 kilograms = ( 118 × 2.20462 ) pounds
⇒ 118 kilograms = ( 260.145 ) pounds
⇒ 118 kilograms = ( 260.15 ) pounds ( round upto two decimals )
Therefore, converted relation between kilograms to pounds is given by :
118 kilograms = ( 260.15 ) pounds ( round upto two decimals ).
Learn more about pounds here
brainly.com/question/29181271
#SPJ4
a line has a slope of -1/5 and passes through point (-5,7). Write it's equation in slope-intercept form
Answer: The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. We are given the slope m = -1/5, and a point (-5,7) through which the line passes.
To find the y-intercept b, we can substitute the point (-5,7) and the slope m = -1/5 into the slope-intercept form of the equation and solve for b:
y = mx + b
7 = (-1/5)(-5) + b
7 = 1 + b
b = 6
So the y-intercept is b = 6, and the equation of the line in slope-intercept form is:
y = (-1/5)x + 6
Therefore, the equation of the line is y = (-1/5)x + 6.
Step-by-step explanation:
The slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:
y = -x/5 + 6
What is meant by the slope-intercept form of a line?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Given,
the slope of line m = -1/5
The point on the line = (-5,7)
Then the equation of a straight line is:
y -y1 = m (x-x1)
y1 = 7
x1 = -5
Then the equation becomes:
y - 7 = -1/5 ( x - (-5))
y-7 = -1/5 ( x+5)
y-7 = -x/5 -1
y = -x/5 + 6
Therefore the slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:
y = -x/5 + 6
To learn more about slope-intercept form, follow the link.
https://brainly.com/question/22057368
#SPJ1
VIDEO GAMES A video game developer determines that the profit, in thousands of dollars, from a new video game can be modeled by the
function P(x) = -2x² + 130x - 2000 when x is the price of each game. The game will be profitable if P (x) > 0.
To make the game profitable, the price should be at least $
and no more than $
P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.
Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.
There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.
p(x) = -2x² + 130x - 2000
The game will be profitable if P (x) > 0.
-2x² + 130x - 2000 > 0
-x² + 65x - 1000 > 0
x² - 65x + 1000 > 0
x(x-25) - 40(x -25) > 0
x>25 x < 40.
Therefore, price should be at least $ 25 and no more than $ 40.
The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).
The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
Learn more about Quadratic equation:
https://brainly.com/question/28886059
#SPJ4
A track runner ran for 15 minutes, walked for 15 minutes, ran for another 20 minutes, and then stretched in place for 10 minutes.
Which graph describes the relationship between runner's total distance and time?
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.4, and a horizontal line segment from 0.8 comma 2.4 to 1 comma 2.4
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 0.1, and a horizontal line segment from 0.8 comma 0.1 to 1 comma 0.1
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a line segment from 0.8 comma 2.95 to 1 comma 3.15
from a group of seven people, two individuals are to be selected at random. how many selections are possible?
Therefore, there are 21 possible selections of two individuals from a group of seven people.
What is combination?In mathematics, a combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter. Combinations are also known as unordered selections or combinations without repetition. The number of combinations of k objects that can be selected from a set of n distinct objects is denoted by "n choose k" and is given by the formula: n choose k = n! / (k! (n - k)!) where n! is the factorial of n, defined as the product of all positive integers up to and including n, and k! and (n-k)! are the factorials of k and n-k, respectively. In words, this formula says that the number of combinations of k objects that can be selected from a set of n objects is equal to the number of ways to arrange k objects out of n, divided by the number of ways to arrange the remaining n-k objects.
Here,
To determine the number of possible selections of two individuals from a group of seven people, we can use the formula for combinations:
nCk = n! / (k! (n - k)!)
where n is the total number of individuals in the group, and k is the number of individuals to be selected. In this case, we want to select 2 individuals from a group of 7, so we have:
n = 7
k = 2
Substituting these values into the formula, we get:
7C2 = 7! / (2! (7 - 2)!)
= 7! / (2! 5!)
= (7 x 6 x 5!) / (2 x 1 x 5!)
= (7 x 6) / (2 x 1)
= 21
To know more about combination,
https://brainly.com/question/20211959
#SPJ1
Last month, Ed spent $50 in all. He spent 40% of the money at the movies. How much money did Ed spend at the movies
Answer: I believe the answer would be 20 dollars spent at the movies.
Step-by-step explanation:
Hello, Everybody! I would need help with some sigma notation.
Expectations: ( Since this is kinda hard for me I will give brainliest but MUST have expectations. )
- Correct Answer
- Detailed Explantion
Please do not: ( If you do these things I will not hesitate to report you immediately )
- Spam
- Gibberish
- Random nonsense
Thank you have a happy lovely day.
Question: \/ \/ \/
Answer:
The value of the given expression to the nearest integer is 114,126.
Step-by-step explanation:
[tex]\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}[/tex]
The given sigma notation means
Sum of the series with nth term 80(1.23)ⁿ⁻², starting with n = 2 and ending with n = 29.As 80(1.23)ⁿ⁻² is exponential, the series is geometric.
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.
The formula for the sum of the first n terms of a geometric series is:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.
Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}[/tex]
[tex]\implies S_{28}=114125.755...[/tex]
[tex]\implies S_{28}=114126[/tex]
Therefore, the value of the given expression to the nearest integer is 114,126.
How to convert 9kg to lbs
The, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).
To convert 9 kilograms (kg) to pounds (lbs), you can use the following formula:
1 kg = 2.20462 lbs
So, to convert 9 kg to lbs, you can multiply 9 by 2.20462:
9 kg * 2.20462 lbs/kg = 19.84158 lbs
Therefore, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).
"Kilograms" (kg) and "pounds" (lbs) are mass or weight measuring units.
The International System of Units' base unit of mass is the kilogramme (kg) (SI). The mass of a specific platinum-iridium alloy cylinder stored at the International Bureau of Weights and Measures in France is defined.
The pound (lb or lbs) is a popular measure of mass in the United States and other nations. One pound equals 0.45359237 kilos. The pound is often used to weigh objects such as humans, animals, and food.
For such more question on kilograms:
https://brainly.com/question/9301317
#SPJ4
describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as a vector in component from
(a) The translation in coordinate notation is (x', y') = (x-4, y-3)
(b) The translation as a vector in component is [tex]\vec v = \vec w + ( -4\hat i -3\hat j)[/tex].
The solution has been obtained by using the concept of transformation.
What is transformation?
A transformation is any operation that shifts a polygon or other two-dimensional object on a plane or coordinate system.
The two-dimensional shape that existing before any modification is referred to as the "inverse image" or "pre-image." The image is a representation of the altered shape.
From the given figure, we can see that the quadrilateral W'X'Y'Z' has been formed by translating quadrilateral WXYZ 4 units in x direction and 3 units in y direction.
So, the translation in coordinate notation is (x', y') = (x-4, y-3) and as a vector in component is [tex]\vec v = \vec w + ( -4\hat i -3\hat j)[/tex].
Hence, the required solution has been obtained.
Learn more about transformation from the given link
https://brainly.com/question/17311824
#SPJ1
The missing figure for the question has been attached below.
1) Lena's garden is a square with sides of length x meters. Next spring, she plans to make it rectangular by lengthening one side 5 meters and shortening the other side by 5 meters. a) What algebraic expression represents the new area? b) By how much will the area of the new garden differ from that of the old garden
Answer:
a) Algebraic expression for new area = (x + 5)(x - 5 )
b) New area will be 25 square meters less than old area
Step-by-step explanation:
Lena' s square garden with side x has area x times x or x² square meters
If one side is lengthened by 5 meters that side becomes x + 5 meters
If the other side is shortened by 5 meters that side becomes x - 5 meters
New area = (x + 5)(x - 5 )
Using the identity(a + b)(a - b) = a² - b² we get
(x + 5)(x - 5 ) =x² - 5²
= x² - 25
Area difference square - rectangle =
x² - (x² - 25) = x² - x² + 25
= 25
So the area will decrease by 25 square meters
what is grams to mol ?
Molar mass, or the mass of one mole of a material, is used to convert grams to moles.
It is possible to translate between grams into moles of material using molar mass, which is commonly given in grams per mole.
Divide the substance's mass in grams by its molar mass in grams per mole to convert grams to moles. This provides you with the substance's molecular weight.
For instance, you must first establish the molar mass of sodium chloride (NaCl), which is roughly 58.44 grams per mole, in order to convert 50 grams of NaCl to moles. Thereafter, you may apply the subsequent equation:
gram mass divided by molar mass equals one mole (in grams per mole)
Mole = 50 g / 58.44 g/mol = 0.856 mol
Hence, 0.856 moles of sodium chloride are equal to 50 grams of sodium chloride. Applications for this conversion may be found in chemistry, physics, and engineering.
Learn more about grams to mol at
https://brainly.com/question/27124577
#SPJ4
The radius of a circle is 7 in. what is the nearest whole number.
Answer:
153.94 -> 154
Step-by-step explanation:
Have a good day
what is 2pm in military time?
To convert 2 pm in the 12-hour clock format to military time, we add 12 to the hour to get 14, and the minutes remain the same, resulting in a military time of 14:00pm.
In military time, the day is divided into 24 hours, starting from midnight (00:00 hours) and ending at 23:59 hours. Each hour is numbered from 0 to 23, instead of repeating the numbers from 1 to 12 twice in a day.
Military time uses a four-digit number to represent the time, where the first two digits represent the hour and the last two digits represent the minutes.
To convert 2 pm in the 12-hour clock format to military time, we need to add 12 to the hour since 2 pm is in the afternoon and military time does not use the "am" or "pm" designations.
So, 2 pm in military time would be 14:00 hours, where 14 represents 2 pm in the 24-hour clock format.
To know more about time here.
https://brainly.com/question/28050940
#SPJ4
8. Write the equation of the vertical line that goes
through the point (-3,8)
Answer:
x = -3
Step-by-step explanation:
A vertical line has an undefined slope and its equation can be written as x = a, where 'a' is the x-coordinate of any point lying on the line. This is because all points on a vertical line have the same x-coordinate.
In this case, we are looking for the equation of the vertical line that passes through the point (-3, 8). Since this line is vertical, its equation will be of the form x = a, where a is the x-coordinate of any point on the line.
We can see that the x-coordinate of the point (-3, 8) is -3, so the equation of the vertical line passing through this point will be:
x = -3
And that's the answer. The equation of the vertical line passing through the point (-3, 8) is x = -3.
$925 at 2.3% for 2.4 years
The interest for the given principal , time and rate is $ 51.06 . The Amount after interest is $ 976.06.
What is Simple Interest ?Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate. Compounding, in which borrowers end up paying interest on principal and interest that increases over a few of payment periods, is not a part of it.
Simple Interest = [tex]\frac{P*R*T}{100}[/tex]
where, P = principal, R = Rate of interest, T = Time.
Now in the given question,
Principal = $925
Rate= 2.3 %
Time = 2.4 years
Then,
Simple Interest,
[tex]=\frac{P*R*T}{100} \\\\=\frac{925*2.3*2.4}{100} \\\\=$51.06[/tex]
Hence the interest is $ 51.06 .
Amount after interest = P + I = 925 + 51.06 = $ 976.06.
Learn more about Simple Interest, visit :
https://brainly.com/question/25845758
#SPJ1
i need help....correct answer gets brainliest.
The area of given triangle whose base is 2 ft and height is 3/4 ft is [tex]\frac{3}{4} ft^2[/tex] .
Area of Triangle:The total area that is bounded by a triangle's three sides is termed as the triangle's area. In general, it is equal to 1/2 of the height times the base, or A = 1/2 b h. So, in order to get the area of a triangular polygon, we must first determine its base (b) and height (h).
In the given figure , we have,
Base = 2 ft
Height = 3/4 ft
Then , Area of Triangle,
[tex]=\frac{1}{2} *base *height\\\\=\frac{1}{2} *2 *\frac{3}{4}\\ \\=\frac{3}{4} ft^2[/tex]
So , Thus, the provided triangle's area is [tex]\frac{3}{4} ft^2[/tex] .
Find out more about Area of triangle , visit:
https://brainly.com/question/27701864
#SPJ1
Nicole and Alberto are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and packages of crocus bulbs. Nicole sold 7 packages of tulip bulbs and 7 packages of crocus bulbs for a total of $63. Write the equation to represent Nicole's sales. Alberto sold 14 packages of tulip bulbs and 1 pacage of crocus bulbs for a toal of $61. Write the equation to represent Alberto's sales. (Use the variables T and C) Find the cost of tulip bulb packages Find the cost of crocus bulb packages
Cost can refer to the amount of money or resources used in the production of a good or service, or the amount of money or resources used in the completion of a project. Generally, cost is the total amount of money or resources required to do something. Cost can be calculated by adding up the costs of each resource used or by multiplying the quantity of each resource used by the cost of that resource. Cost can also be determined by using a cost estimating technique, such as a cost-benefit analysis.
Nicole's equation: 7T + 7C = 63
Alberto's equation: 14T + C = 61
Cost of tulip bulb packages = (63 - 7C) / 7
To calculate the cost of tulip bulb packages, take the total amount of Nicole's sales ($63) and subtract the cost of the crocus bulb packages (7C). Then we divide the result by the number of tulip bulb packages (7).
Cost of crocus bulb packages = (61 - 14T) / 1
To calculate the cost of crocus bulb packages, take the total amount of Alberto's sales ($61) and subtract the cost of the tulip bulb packages (14T). Then we divide the result by the number of crocus bulb packages (1).
Cost of tulip bulb packages = $8.71
Cost of crocus bulb packages = $4.43
To know more about Cost, visit:
https://brainly.com/question/25109150
#SPJ1
What is a heart shaped mathematical curve?
A heart-shaped mathematical curve is a cardioid (picture is attached below).
In the mathematical branch of geometry, we can use certain equations, etc. to create a heart-shaped mathematical curve which is called a cardioid. Its name has been derived from the greek word kardiá which literally translates to heart.
It can be described as a plane curve that is drawn by a point on the perimeter of a circle and this circle is rolling around a fixed circle that has a similar radius. It is also described as an epicycloid having a single cusp. The equation (a+x)^(a-x) can be used to make a cardioid.
Learn more about cardioids on
https://brainly.com/question/30465699?referrer=searchResults
#SPJ4
At Luehrs Middle School, 112 sixth-grade students have a dog as a pet; this represents 35% of the sixth-grade students. How many sixth-grade students are at Luehrs Middle School? Responses
Answer:
its 320
Step-by-step explanation:
The total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.
What is meant by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. There is no dimension to percentages. As a result, it is known as a dimensionless number.
Given,
Number of students in sixth grade who has a pet dog = 112
The percentage of sixth grade students who has a pet dog = 35%
Let the number of total sixth grade students be x.
Percentage
= (Number of students with pet dog/Total number of sixth grade students * 100
35 = (112/x) * 100
35/100 = 112/x
x = (100/35) * 112 = 320
Therefore the total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.
To learn more about percentages, follow the link.
https://brainly.com/question/24877689
#SPJ1
Which inequality written in factored form represents the graphed region?
The correct inequality written in factored form represents the graphed region is,
⇒ y ≥ (x + 6) (x - 18)
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The graph shows the inequality.
And, The point on the graph is, (- 4, - 44)
Now, By all options;
The correct inequality is satisfy the given point on the graph.
From (i);
The inequality is,
⇒ y ≥ (x + 6) (x - 18)
Put x = - 4, y = - 44
⇒ - 44 ≥ (- 4 + 6) (- 4 - 18)
⇒ - 44 ≥ (2) (- 22)
⇒ - 44 ≥ - 44
Hence, It is the correct inequality written in factored form represents the graphed region.
Thus, The correct inequality written in factored form represents the graphed region is,
⇒ y ≥ (x + 6) (x - 18)
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ9
Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. Which of the following is an appropriate test for the researchers' hypothesis? A. A one-sample z-test for a population mean B. A one-sample t-test for a population mean C. A one-sample z-test for a population proportion D. A matched-pairs t-test for a mean differenceE. A two-sample t-test for a difference between means
The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.
The researchers are interested in comparing the mean battery life of the new batteries to the known mean battery life of the older version. Since the sample size is relatively small (n=32), and the population standard deviation is unknown, a t-test is appropriate for testing the hypothesis.A one-sample t-test for a population mean is used to compare a sample mean to a known or hypothesized population mean when the population standard deviation is unknown. In this case, the null hypothesis would be that the mean battery life of the new battery is equal to or less than the known mean battery life of the older version, and the alternative hypothesis would be that the mean battery life of the new battery is greater than the known mean battery life of the older versionfor such more question on proportion
https://brainly.com/question/870035
#SPJ4
mary bought a few items for $24. after tax the total bill was $25.44. what percent tax was she charged
Answer:
I think 6.5 % tax.
Step-by-step explanation:
Answer:
Mary was charged a 6% tax
Step-by-step explanation:
To find the percentage tax Mary was charged, we need to determine the amount of tax she paid and then calculate that as a percentage of the original purchase price.
We know that the total bill after tax was $25.44, and the purchase price before tax was $24, so the tax paid must be:
$25.44 - $24 = $1.44
To find the percentage tax charged, we need to divide the tax paid by the original purchase price, then multiply by 100 to express the answer as a percentage:
($1.44 / $24) x 100% ≈ 6%
Therefore, Mary was charged a 6% tax.
HELP DUE TONIGHT ?
An online furniture store sells chairs for $100 each and tables for $350 each. Every
day, the store can ship at most 18 pieces of furniture and must sell no less than
$3200 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.
The graph of the system of inequalities is on the image at the end, we can see that one solution is 10 tables and 5 chairs.
How to write and solve the system of inequalities?We know that an online furniture store sells chairs for $100 each and tables for $350 each.
The store can ship at most 18 pieces, and the must sell no less than $3200
Then if we define:
c = number of chairs.
t = number of tables
Then the system of inequality is:
c + t ≤ 18
c*100 + t*350 ≥ 3200
The graph of that system of inequalities can be seen below, the solutions are in the doble shaded region, then for example one solution is:
c = 5
t = 10
Learn more about systems of inequalities at:
https://brainly.com/question/9774970
#SPJ1
i really need to understand this help
Answer:
a = √c² - b²
Step-by-step explanation:
The process...
Math question...pls help!
The value of the missing angle 1 is 59⁰.
What is the measure of angle 1?
The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.
The measure of the angle adjacent to 139⁰ is determined as follows;
? + 139⁰ = 180⁰ ( sum of angles in a triangle )
? = 180 - 139
? = 41⁰
The value of the missing angle 1 is calculated as follows;
m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )
m∠1 + 121 = 180
m∠1 = 59⁰
Learn more about angles in a triangle here: https://brainly.com/question/25215131
#SPJ1
test Allie did push-ups every weekday this week. She did 8 push-up Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday on Thursday, and 8 push-ups on Friday. Find the median number of push-ups. push-ups Repor
