The solutions for a and b are given below by using probability:
What is meant by central limit theorem?According to the central limit theorem, regardless of the underlying distribution, the distribution of the sum (or average) of a large number of independently distributed variables will be roughly normal. According to the central limit theorem, if you take sufficiently large random samples from a population with mean and standard deviation and replace some of the individuals in the samples, the sample means will be distributed about normally. The central limit theorem in probability theory proves that, even when independent random variables are added together, their correctly normalized sum frequently tends toward a normal distribution.
As a result, the sampling distribution of the sample mean of 22 passengers is normally distributed, with a mean weight of 190 pounds that is the same as the population's mean σ/√n.
=35/√22
=7.46
Now, for X=4500, z=(μ)/σ
=(4500-190)/7.46
=577.74
P(X>577.4)
=1-P(X<577.4)=0
To know more about probability, visit:
https://brainly.com/question/11234923
#SPJ1
Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize. Which equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced? (Let w represent the number of bottles with winning caps, and let t represent the total number of bottles produced.)
a) w = 7/20t
b) w = 7/13t
c) 7w = 20t
d) 7w = 13t
Equation which represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced is 7w=20t
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Seven out of every twenty soda bottles produced have caps indicating that the purchaser has won a prize.
We need to find the equation which represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced.
Let w represent the number of bottles with winning caps, and
let t represent the total number of bottles produced.
t=7/20w
7w=20t.
Hence, 7w=20t is the equation represents the relationship between the number of soda bottles with winning caps and the total number of soda bottles produced.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
padma works at an electronics store. in addition to her salary, she receives 2 percent of the sales dollars she brings in each month. this extra 2 percent is called a
Answer:
Step-by-step explanation:
A Commission
The extra 2% of the sales dollars that Padma receives each month is called a commission.
What is the commission?The commission is a payment made to an employee in addition to their regular salary or wages, based on the number of sales or business they bring in. Another popular definition of commission is the amount of money earned by an employee when they sell something: He receives a 1% commission on each sale in addition to his pay.
As per the question, Padma receives a commission of 2% of the sales dollars she brings in each month. The commission is a common form of compensation in sales and customer service jobs, where employees are often paid a base salary plus a commission based on their sales or performance.
Thus, the required fill-in-the-blank will be "commission".
Hence, the extra 2 percent of the sales dollars that Padma receives each month is called a commission.
To learn more about the commission click here:
https://brainly.com/question/20987196
#SPJ12
no matter what type of population value (or combination of population values) is being estimated using a confidence interval, what items should you be watching for in order to best assess the results?
1. The actual differences that researchers imply causality come from randomized experiments.
2. That the sample selected represents the population.
3. Confidence level clearly stated.
Population values, also called parameters, are calculated from all values in the entire population.
A representative sample is a subset of the population that attempts to accurately reflect the characteristics of the larger group. For example, in a classroom of her 30 students, 15 boys and 15 girls, you can create a representative sample of her 6 students, 3 boys and 3 girls.
Probable sampling is defined as a sampling technique in which the researcher selects samples based on the researcher's subjective judgment rather than at random. This is a less rigorous method. This sampling method relies heavily on the researcher's expertise. This is done through observation and is often used by researchers for qualitative research.
A confidence interval (CI) is the range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used. The confidence level represents the proportion of corresponding CIs over time that contain the true value of the parameter. For example, 95% of all intervals computed at the 95% level must contain the true value of the parameter.
Factors that affect the width of the CI include confidence level, sample size, and intra-sample variation. All other things being equal, the larger the sample, the narrower the confidence interval. Similarly, the greater the sample variability, the wider the confidence interval, and the higher the confidence level, the wider the confidence interval should be.
Learn more about Confidence Interval:
https://brainly.com/question/16807970
#SPJ4
suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08. if a researcher wanted to reduce the standard deviation to 0.04, what sample size would be required?
The sample size would be required is 400.
What is standard deviation?
A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.
The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.
suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08.
Since we know the weights from the population, we can find the population mean.
μ = 0.08
if a researcher wanted to reduce the standard deviation to 0.04.
Hence, The sample size would be required is 400.
Learn more about standard deviation, by the following link.
https://brainly.com/question/12402189
#SPJ4
g find the surface area of that part of the plane 6x+10y+z=9 that lies inside the elliptic cylinder x249+y29=1
The surface area of that part of the plane 6x+10y+z=9 that lies inside the elliptic cylinder [tex]x^{2}/49 + y^{2}/9 =1\\[/tex] is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].
Given:
6x + 10y + z = 9 ..... (1)
[tex]x^{2}/49 + y^{2}/9 =1\\[/tex] ..... (2)
Equation (1) can also be written as:
z = 9 - 6x - 10y ...... (3)
The surface area is given by the equation:
SA = ∫∫[tex]\sqrt{((df/dx)^2) + (df/dy)^2 + 1} )dA[/tex]
[tex]\sqrt{df}/dx = -6[/tex]
[tex]\sqrt{df}/dy = -10[/tex]
Now, substitute the known values in equation (4).
SA = ∫∫[tex]\sqrt{(-6)^2 + (-10)^2 + 1} dA[/tex]
SA =[tex]\sqrt{137}[/tex] ∫∫dA
Now the area enclosed by an ellipse is given by:
[tex]x^{2}/49 + y^{2}/9 =1\\x^{2}/a^2 + y^2/b^2=1\\[/tex]
By comparing the above equation:
a = 7
b = 3
The area is given by:
SA = [tex]\sqrt{137}[/tex] [tex]\pi[/tex] (7 x 3)
SA = 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex]
The surface area of an elliptic cylinder is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].
To learn more about elliptic cylinders visit: https://brainly.com/question/17193351
#SPJ4
Use the following graph to answer the question.
The graph represents the movement of a car over the span of 8 seconds. What is the average acceleration of the car from 2-4 seconds?
A. 0 m/s^2
B. 5 m/s
C. 5 m/s^2
D. 1.25 m/s^2
Answer:
Step-by-step explanation:
I think it's B or C because if you look closely u see that the line goes up then straight on 4. Go for an educational guess.
Why is it called a square 1?
Square 1 is so named because of the shape of the puzzle: it is a cube with four sides, each with nine squares, creating a square shape
The puzzle is also sometimes referred to as a "magic cube" because it can be rearranged into different shapes and configurations.Square 1 is a 3-dimensional puzzle that consists of nine squares on each side of a cube. The puzzle is made up of four layers of nine colored squares that can be rotated around the center axis. This creates a square-like shape, hence the name “Square 1”. The object of the game is to arrange the nine squares on each side so that all of the colors match up. This requires the player to manipulate and rotate the pieces in order to achieve the desired outcome.
Learn more about square here
https://brainly.com/question/29545455
#SPJ4
need help asap! please!
Based on the observation the appropriate domain of the function is 12.5.
What is a function?A relation is a function if it has only One y-value for each x-value.
Given, a company manufactures and sells shirts.
The daily profit the company makes depends on how many shirts they sell.
The company sell x shirts can be found by function f(x)=7x-80
The given function is f(x)=7x-80
f(-7)=7(-7)-80=-49-80
=-129
The value is negative so it is not the answer.
f(8)=7(8)-80
=56-80=-24
The value is negative so it is not the answer.
f(12.5)=7(12.5)-80
=87.5-80
7.5
The company sells 12.5 shirts.
Hence, based on the observation the appropriate domain of the function is 12.5.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
Between sing-sing and tarrytown i met my worthy friend, John Brown, and seven daughters , riding nags, and everyone had seven bags. In every bag there were thirty cats, and every cat had forty rats. besides a brood of fifty kittens, all but the nags ad bags wore mittens. mitten, kittens-cats, rats-bags, nags-Browns. How many were met between the towns
The number met between the town are
mitten = 67,137
kittens = 50
cats = 1680
rats = 67,200
bags = 56
nags = 7
Browns = 8
How to find the numbersFrom the given information it can be deduced that
John Brown, and seven daughters
Browns = 1 + 7 = 8
everyone had seven bags
number of bags = 8 * 7 = 56 bags
In every bag there were thirty cats
number of cats = 56 * 30 = 1680 cats
the number of kittens = 50
every cat had forty rats
number of rats = 1680 * 40 = 67,200 rats
all but the nags and bags wore mittens.
number of mittens = 67 200 - the nags (Brown's daughters) - the bags
number of mittens = 67 200 - 7 - 56 = 67 137
The number of mittens is 67,137
Learn more on word problems at:
https://brainly.com/question/21405634
#SPJ1
identify the statistical test in which the mean difference between two groups are compared to a distribution of differences between means.
The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.
What statistical test to use when comparing more than two groups?The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.
What is the difference between ANOVA and a t-test?ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.
From the above theory, the test specified above is termed as the t-test.
To learn more about t-tests click the following link:-
https://brainly.com/question/6589776
#SPJ4
Which translation are performed on f(x) = ln(x) to graph g(x) = –ln(x + 3) – 3?
a. to the left 3?
b. to the right 3?
c. up 3
d. down 3
please right answers only.
The translations performed are
a. to the left 3d. down 3How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = ln(x)
g(x) = -ln(x + 1) - 3
First, we have the transformation to be:
From f(x) = ln(x) to f(x) = -ln(x)
This means a reflection across the x-axis
Next, we have
From f(x) = -ln(x) to f(x) = -ln(x + 3)
This means the function is translated left by 3 units
Next, we have:
From f(x) = -ln(x + 3) to f(x) = -ln(x + 3) - 3
This means the function is translated down by 3 units
Hence, the translation is 3 units left and 3 units down
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution to the equation -2.5(4x - 4) = -6 is x = 1.6
How to apply the Distributive Property?From the question, we have the following parameters that can be used in our computation:
-2.5(4x - 4) = -6
Open the bracket using the Distributive Property
So, we have the following representation
-10x + 10 = -6
Subtract 10 from both sides of the equation
-10x = -16
Divide both sides by -10
x = 1.6
Hence, the solution is x = 1.6
Read more about the Distributive Property at
https://brainly.com/question/4770445
#SPJ1
Write the equation of the line that passes through the points (-1,-9)(−1,−9) and (-9,-9)(−9,−9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:
y=-9
Step-by-step explanation:
in regression analysis, the response variable is the . a. dependent variable b. intercept c. slope of the regression function d. independent variable
By using regression, it can be calculated that-
The response variable is a dependent variable
Option a is correct
What is regression?
The process which is used to find a relationship between a dependent variable and one or more independent variables is called regression
In regression analysis, the variable which is to be predicted is called response variable.
Since response variable is the variable to be predicted, response variable is dependent on other variables
So response variable is a dependent variable
Option a is correct
To learn more about regression, refer to the link-
https://brainly.com/question/25987747
#SPJ4
a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
The required explanation of null hypothesis and alternate hypothesis for given question is below.
What is hypothesis test?Hypothesis testing is a type of measurable derivation that utilizes information from an example to make inferences about a populace boundary or a populace likelihood circulation. Initial, a speculative supposition that is made about the boundary or dissemination.
According to question:Connection is a factual measure that communicates the degree to which two factors are directly related (meaning they change together at a consistent rate).
It's a typical device for portraying basic connections without saying something about circumstances and logical results.
As indicated by the inquiry,
A gathering of researcher haphazardly chose 20 Piknits from the ocean bottom and estimated their particular loads in grams.
Likewise, They were curious as to whether the weight of the Piknits can be utilized to foresee the quantity of Gogles.
From the given data,
Null hypothesis : H0 : There is no direct connection between the heaviness of piknits and the quantity of gogles
Alternative hypothesis : Ha: There is a direct connection between the heaviness of piknits and the quantity of gogles
Choice 4 is right about Null hypothesis and Alternative hypothesis.
To know more about Hypothesis test visit:
brainly.com/question/17099835
#SPJ4
how many positive perfect squares less than 10^610 6 are multiples of 2424? how many positive perfect squares less than 10^610 6 are multiples of 2424?
Total 83 numbers that are positive perfect squares less than [tex]10^6[/tex] are multiples of 24.
What is perfect Square?
A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself.
For instance, the number 25 is a perfect square since it is the product of the integer 5 multiplied by itself, 5*5 = 25.
21 cannot be expressed as the product of two identical integers, so it is not a perfect square number.
Prime Factorization of 24 is 2^3*3.
There must be at least 3 factors of number 2 and 1 factor of number 3 in each square.
its square root must have 2 factors of number 2 and 1 factor of number 3.
This means each square should be in the from [tex](12*c)^2[/tex]. where 12 is a positive numbers less than [tex]\sqrt{10^6}[/tex] = 1000.
So total numbers of positive perfect squares.
= 1000/12 = 83.
Total 83 numbers that are positive perfect squares less than [tex]10^6[/tex] are multiples of 24.
Given question is incomplete Complete Question here
How many perfect squares less than 10^6 are multiples of 24.
To know more about perfect squares here
https://brainly.com/question/385286
#SPJ4
Mario set a goal to run 130 miles this month to prepare for a marathon. So far this month, he has run 65 miles. Write and solve an equation to show how many miles Mario has left to run this month to reach his goal.
m + 65 = 130; m = 65 miles
m − 65 = 130; m = 195 miles
65m = 130; m = 2 miles
m over 65 equals 130; m = 8,450 miles
Mario left 65 miles to reach his goal and m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the Mario set a goal to run 130 miles this month to prepare for a marathon.
He has run 65 miles in this month.
We need to find the equation to show how many miles Mario has left to run this month to reach his goal.
m+65=130
We can find the left out distance in miles.
Subtract 65 from both sides.
m=130-65
m=65
Hence, m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal and Mario left 65 miles to reach his goal.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Answer:
it's b
Step-by-step explanation:
clouds moving across the sky is chemical change or physical change
However, it’s possible to notice clouds moving vertically. That is, at one point you might see a cloud much lower slightly rise up further in the sky. This is due to convection, which is rising hot air from the ground moving upwards. This hot air can cause clouds to move upwards where the air is colder.
Answer:
Physical change
Step-by-step explanation:
Consider an example of an apartment: the number of bedrooms, bathrooms, and the floor of an apartment determines its price. Which is/are the predictor variable(s) in this example?.
By using function, it can be concluded that-
The predictor variables are bed, bath, floor
What is function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
In a function y = f(x), x is the independent variable and y is the dependent variable.
The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment
So the required function is p = f(bed, bath, floor) where p is the price of the apartment
The predictor variables are bed, bath, floor
To learn more about function, refer to the link:
https://brainly.com/question/22340031
#SPJ1
i need your help guys
Answer:
i got 6.6, 2.9, and 50 but i don't think it's right
Step-by-step explanation:
Determine the area of the figure below
The area of the figure above is
blank + 25pi/4
The area of the figure is 75 + 25π/4 squared unit. The value of the blank is 75
How to find the area of the figure?(Consider the image I attached)
The area of the figure = Area of rectangle A + Area of square B + Area of sector C
The area of the figure = (L×W) + (L²) + (θ/360 × πr²)
Note: Area of sector = θ/360 × πr². The sector has an angle of 90° and a radius of 5
The area of the figure = (10×5) + (5²) + (90/360 × π×5²)
The area of the figure = 50 + 25 + 25π/4 = 75 + 25π/4 squared unit
Learn more about area of composite figure on:
https://brainly.com/question/21135654
#SPJ1
If you have the bags in your inventory for more than three months, you plan to mark down the selling price by 25 percent. What will the markdown price be?
Use point-slope form to write the equation of a line that passes
through the point (-9, 14) with slope -1/2
Answer:
y - 14 = -0.5(x + 9)
please answer for 15 points no copying!
Answer:
Step-by-step explanation:
f+5
Five times a number, x, is not less than 15. Write and solve the inequality.
Answer:
[tex]5x \geq 15\\x\geq 3[/tex]
Step-by-step explanation:
5 times x must be greater than or equal to 15, thus the inequality is
[tex]5x \geq 15[/tex]
To solve, pretend the [tex]\geq \\[/tex] is an = and solve, putting back the [tex]\geq[/tex] for the final answer
[tex]5x \geq 15\\5x = 15\\5x/5 = 15/5\\x = 3 \\x \geq 3[/tex]
one leg of a right triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2 centimeters longer than hte longer leg. what are lenghts of sides of triangle
3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.
Given that,
In a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.
We have to find how much longer is the longer leg.
We know that,
Let the one side of the triangle be x
The other side we get x-1 and x+2
From Pythagoras theorem,
x²+(x-1)²=(x+2)²
x²+x²-2x+1=x²+4x+4
2x²-2x+1-x²-4x-4=0
x²-6x-3=0
To find the value of x we have a formula that is
x=-b±√(b²-4ac)/2a
Here, a=1, b=-6 c=-3
x=6±√(-6²-4(1)(-3))/2(1)
x=6±√36+12/2
x=6±√48/2
x=6±4√3/2
x=3±2√3
Therefore, 3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.
To learn more about triangle visit: https://brainly.com/question/2773823
#SPJ4
Lin runs 5 laps around the track in 6 minutes how many minutes per lap
Answer:
72 seconds I think I am sorry if it is wrong
A ladder is placed against the side of a house. The base of the ladder rests 2 feet from the house, and the top of the ladder meets a window sill that is 13 feet up from the ground. How long is the ladder?.
The ladder is 13.15 feet long.
"Information available from the question"
In the question:
A ladder is placed against the side of a house.
The base of the ladder rests 2 feet from the house
and, the top of the ladder meets a window sill that is 13 feet up from the ground.
To find the how long is the ladder?
Now, According to the question:
Let's Know:
What is Pythagoras theorem?
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle), algebraic notation,
a² + b² = c².
The set is making a right triangle, so using Pythagoras theorem,
base² + (wall length)² = (length of ladder)²
2²+13² = (length of ladder)²
169+4 = (length of ladder)²
173 = (length of ladder)²
(length of ladder) = √173
(length of ladder) = 13.15
Hence, The ladder is 13.15 feet long
Learn more about Pythagoras Theorem at:
https://brainly.com/question/21926466
#SPJ4
Answer:
173
Step-by-step explanation:
Did it
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5,4). What is the
equation of the function in vertex form?
A y=-(x + 5)² - 4
B. y = −(x+5)² +4
C. y=(x + 5)² – 4
D. y = (x + 5)² + 4
The equation of the function in vertex form is y = -(x + 5)² + 4
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
Given that the quadratic function has roots at -3 and -7 and a vertex at (-5,4).
We need to find the equation of the function in vertex form
equation of the function in vertex form.
As per the information given in the question,
The given roots of the function are -3 and -7,
y = a (x + 3) (x + 7)
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4),
So, a = -1.
y = -(x + 5)² + 4
Hence, y = -(x + 5)² + 4 is the equation of the function in vertex form
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ1
what can identifying a correlation do for your research? guide the design of grids or decision matrices. present possible solutions to be explored. aid in the calculation of the mean and mode.
Identifying Correlation helps in presenting solutions to be explored.
What is Correlation?
Correlation is a statistical metric (a number) that represents the magnitude and direction of a link between two or more variables. A correlation between variables, on the other hand, does not imply that a change in one variable is the cause of a change in the values of the other variable.
Solution:
Identifying Correlation helps in presenting solutions to be explored.
To learn more about Correlation from the given link
https://brainly.com/question/4219149
#SPJ4