True. Two samples probably will have different means even if they are both the same size and they are both selected from the same population.
What is a sample? A sample is a subset of a population that represents the whole population in a study. There are numerous techniques for sampling. Sampling may be random, stratified, or purposive, among other methods.
Random sampling is when each member of the population has an equal chance of being included in the sample.
Stratified sampling is when the population is divided into subgroups based on certain characteristics, and then a random sample is taken from each subgroup.
Purposive sampling is when participants are selected based on specific criteria, such as having a specific characteristic or being a part of a particular group.
The mean is a statistical measure that represents the average value of a set of data. A population mean is the average of all the values in a population, whereas a sample mean is the average of all the values in a sample. Two samples with the same size selected from the same population may have different means because of random variation, which is the difference in data points between samples that occurs due to chance.
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Garcia's Grill offers 7 side dishes, 5 types of steak, and 8 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 3 different toppings and 4 different side dishes?
Answer:
The number of smothered steak dinners that can be made is 9,800
Step-by-step explanation:
A smothered steak dinners consist of customer’s choice of steak with 3 different toppings and 4 different side dishes.
What this means is that;
Customer will select 1 steak out of 5 types
3 toppings out of 8
4 out of 7 side dishes
Thus, the number of steak dinners would be;
5C1 * 8C3 * 7C4
= 5 * 56 * 35 = 9,800
A cylinder has a height of 10 millimeters and a radius of 12 millimeters. Find A the volume and b the surface area. Use 3.14 for pi. Do not round
First, we have the following equation to find the volume of the cylinder:
\(V=\pi\cdot r^2\cdot h\)in this case, we have the folllowing information:
\(\begin{gathered} r=12\operatorname{mm} \\ h=10\operatorname{mm} \end{gathered}\)then, using the formula above, we get:
\(\begin{gathered} V=(3.14)(12)^2(10)=4521.6 \\ \Rightarrow V=4521.6\operatorname{mm}^3 \end{gathered}\)then, for the surface area, we have the following formula:
\(S=2\cdot\pi\cdot r^2+2\cdot\pi\cdot r\cdot h\)then, we have the following in this case:
\(\begin{gathered} S=2(3.14)(12)^2+2(3.14)(12)(10)=904.32+753.6=1657.92 \\ \Rightarrow S=1657.92\operatorname{mm}^2 \end{gathered}\)therefore, the volume is V = 4521.6mm^3 and the surface area is S = 1657.92mm^2
how many cubic millimeters are in a cubic centimeter?
1000 cubic millimeters are in a cubic centimeter.
'What is cubic centimeter?'
There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.
For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.
The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.
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Question Two
Solve the following simultaneous equation graphically:
x + 4y = 17
2x + 5y =
25 (7 marks)
STATISTICS
Answer:
x = 5
y = 3
Step-by-step explanation:
x + 4y = 17
2x + 5y = 25
We multiply the first equation by -2
-2x - 8y = -34
2x + 5y = 25
-3y = -9
y = 3
Now we put 3 in for y and solve for x
x + 4(3) = 17
x + 12 = 17
x = 5
Let's Check the answer
5 + 4(3) = 17
5 + 12 = 17
17 = 17
So, x = 17 and y = 3 is the correct answer.
I’m going to be posting 3 more of these plz helpppp
Answer:
with what
Step-by-step explanation:
kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?
If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.
How to find the height?Given data:
kiersten height = 6ft tall
Shadow = 9 feet away
Shadow of tree = 84 feet
The equation that will be use to find the height is 6/9= x/84
Let x represent the tree's height
So, let solve for x
6/9= x/84
Cross multiply:
9x = 6(84)
9x = 504
Divide both side by 9x
x= 504/9
x = 56 feet
Therefore we can conclude that the height of the tree is 56 feet.
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What's the length of the hypotenuse of right ΔDEF shown?
Question 13 options:
A)
√87
B)
12
C)
15
D)
√117
Answer: √177
Step-by-step explanation:
6²+9²=c²
36+81=c²
117=c²
√117=√c²
√177 = c
(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)
Solve and graph the following compound inequality. (SHOW YOUR WORK) 3x + 4 ≤ −x − 5 ≤ 12
\(\frac{9}{4}\)Answer:
[-17, -\(\frac{9}{4}\)
graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4 THEN another closed circle on -17 shaded to the right so they meet in the middle
Step-by-step explanation:
-x-5 greater than or equal to 3x+4
-x-5 ≤ 12
x ≤ -9/4
-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)
is g(x) = x^ an exponential function?
Answer:
Yes
Step-by-step explanation:
Hi,
Since, in this case, x is being raised to something, then that means it is, in fact, an exponential function.
Hope this helps :)
Theo has one sphere with radius 5; Akshaj has two spheres with radius 2. What is the ratio of the surface area of Theo's sphere to the total surface area of Akshay's spheres
The ratio of the surface area of Theo's sphere to the total surface area of Akshay's spheres is 25:8.
We have , The radius of Theo's sphere , R = 5
As we know that,
Surface area of sphere , A₁ = 4πr²
where r --> radius of sphere
So, Surface area of Theo's sphere = 4πR² = 4×π (5)² = 100π
The radius of Akshay's two spheres,
R₁ = R₂ = 2
Surface area of Akshay's first sphere
= 4πR₁²
= 4×π ( 2)² = 16π
similarly, surface area of Akshay's second sphere = 4πR₂² = 4×π(2)² = 16π
Total surface area of Akshay's two spheres, A₂ = 16π + 16π = 32π
Then, the ratio of the surface areas of spheres, A₁ : A₂ = 4π(R)² :4π(R₁² +R₂²)
=> A₁ : A₂ = 100π : 32π
=> A₁ : A₂ = 25 : 8
Hence, required ratio is 25:8.
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if u do this you are a life saver
Answer:
1.) 18/36
2.) 9/36
3.) 12/36
4.) 3/36
Answer:
1. 1/2
2. 1/4
3. 1/3
4. 1/12
Step-by-step explanation:
Each grid has a total amount of 36 squares. Count the grey squares and use that as a ratio to the squares in total. Simplify your ratios, and there you have it. I saved la life bruda 8)
IMPORTANT!
Write a paragraph proof for the following conjecture:
Given: m∠1 +m∠2=m∠4
Prove: m∠3 +m∠1 +m∠2=180°
Answer:
hi
Step-by-step explanation:
Answer:
I have a question do you have a screen shot and maybe I can help but if you dont ill still help :)
Step-by-step explanation:
3x+18y=54
need help with it
euler's formula, v − e f = 2, relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron. solve euler's formula for e.
The formula to solve Euler's Formula for e, which relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron is e = v + f - 2.
Euler's Formula, v − e + f = 2, is a relationship between the number of edges e, the number of vertices v, and the number of faces f in a polyhedron. The formula can be rearranged to solve for e which is e = v + f - 2. This formula can be used to find the number of edges in a polyhedron when the number of vertices and faces are known. Therefore, this formula is used to calculate the number of edges in a polyhedron. The formula states that the number of vertices, minus the number of edges, plus the number of faces is always equal to 2.
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QUICK
in the triangle the length of side b is 7 the m
i will need to label the triangle and all work for finding missing sides there will be two separate equations that you solve circle your final answer
Answer:
Where is the angle so I can help you?
How i can answer this question
Answer:
4k+11
Step-by-step explanation:
There you go. Happy to help.
Which is the correct answer
Answer:
44 2/4
Step-by-step explanation:
178/4= 44.5
44 2/4 =
44 x 4 = 176
176 + 2 = 178
hope this helps and if it is wrong i am sorry
A circle has a radius of 6 cm. What is the area of the circle in terms of π?
Answer:
okay shdirnsjsjjsjjddjdjjdjdjjdddjd
Solve each system of equations without graphing.
5x + 14y = -5
-3x+10y = 72
Answer:
To solve a system of equations without graphing, you can use one of several methods, such as substitution or elimination. Here's how you can solve this system using substitution:
First, solve one of the equations for one of the variables in terms of the other variable. For example, you can solve the first equation for y:
5x + 14y = -5
y = (-5 - 5x) / 14
Substitute this expression for y into the second equation, to get an equation in terms of x:
-3x + 10((-5 - 5x) / 14) = 72
Simplify this equation to get an equation in terms of x:
-3x - 50 - 35x = 72
-38x - 50 = 72
-38x = 122
x = -3.316
Substitute this value for x back into one of the original equations to solve for y:
y = (-5 - 5(-3.316)) / 14
y = (5 + 16.58) / 14
y = 21.58 / 14
y = 1.546
So the solution to the system of equations is (x, y) = (-3.316, 1.546).
Alternatively, you could solve the system using elimination. To do this, you would add the two equations to eliminate one of the variables, and then solve the resulting equation for the remaining variable.
40 POINTS!!!!!! Find the area of the complex figure.
Answer:
2361456
Step-by-step explanation:
if this is not the answer im not smart please
im only doing answer for good intentions no bad intentions.
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring.
Select one:
True
False
This statement is true
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.
The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.
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143.596 rounded to the nearest hundredth
Answer:
143.6
Step-by-step explanation: its 143.6 because 9 rounded to the nearest number is 10 and that bumped the 5 to a six
In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 1995 was 0.253 and was 0.321 in 1996. The team statistician claims Jeter's overall average was better than Justice's average. What may make this claim possible
Simpson's Paradox makes this claim possible.
The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.
Whereby the data for calculating the batting averages as found online are given as follows:
Season Derek Jeter David Justice
1995 12/48 = 0.250 104/411 ≈ 0.253
1996 183/582 ≈ 0.314 45/140 ≈ 0.321
The overall hits to the overall bat's ratio are:
(183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27
This shows that Derek Jeter's overall average was better than Justice's average.
Thus, Simpson's Paradox makes this claim possible.
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As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27
Here we have given that the following table of data is presented
Time, Score of Derek Jeter Score of David Justice
At 1995, ≈ 0.250 ≈ 0.253
At 1996, ≈ 0.314 ≈ 0.321
Then the overall score for Derek Jeter is calculated by
=> (183 + 12)/(582 + 48) ≈0.310
And the overall score for David Justice is calculated as
=> (104+45)/(411+140) = 0.27
Here the resulting values shows that Derek Jeter's overall average was better than Justice's average
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The continuous random variable X has a probability density function (pdf) given by f(x) Şi- & for 0 < x < 2 lo otherwise Part(a) Find the median of X, correct to 2 decimal places. 0.59 Part(b) Find P(X >>). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than 2. The order in which we take observations matters. 0.25 Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find E(X), correct to 2 decimal places. 0.75 Part(f) Find the value of q such that P(X
The median of X is 1; P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and the value of q such that P(X < q) = 0.95 is 1.9.
(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.
Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.
For 0 < x < 2, the CDF is:
F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x
Setting (1/2) * x = 0.5 and solving for x:
(1/2) * x = 0.5; x = 1
Therefore, the median of X is 1.
(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.
For x > 2, the PDF is 0, so P(X > x) = 0.
Therefore, P(X > 2) = 0.
(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.
P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)
Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.
Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.
(d) The variance of X can be calculated using the formula:
Var(X) = E(X²) - [E(X)]²
To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:
E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3
To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:
E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Now we can calculate the variance:
Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33
Therefore, Var(X) is approximately 0.33.
(e) The expected value of X, E(X), is given by:
E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Therefore, E(X) is 1.
(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:
∫(0 to q) f(x) dx = 0.95
Since the PDF is constant at 1/2 for 0 < x < 2, we have:
(1/2) * (x) | (0 to q) = 0.95
(1/2) * q = 0.95
q = 0.95 * 2 = 1.9
Therefore, the value of q such that P(X < q) = 0.95 is 1.9.
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Someone plz helppppppppppppppp
how many g cm3 is equal to kg m3?
We can convert the unit kg/m ³ to g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.
We are provided with the unit kg/m ³ that means Kilograms per meter cube.
We have to covert it into g/cm³.
Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.
So, if we want to do the unit conversion, we should write,
= g/cm³
= 1000/1000000 g/cm³
Kg/m³ = 10⁻³ g/cm³.
Now, the above mentioned relation is our formula for the conversion of the two unit.
So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.
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find the z-score of lena's flight experience relative to the flight experiences of all the members of the pilots association. round your answer to two decimal places.
The z-score of Lena's flight experience, relative to the pilots association, rounded to two decimal places, is to be determined.
The z-score of Lena's flight experience can be calculated by comparing her flight experience relative to the flight experiences of all the members of the pilots association.
To compute the z-score, we need two pieces of information: Lena's flight experience and the mean and standard deviation of flight experiences within the pilots association.
Let's assume Lena's flight experience is denoted by X and the mean flight experience of the pilots association is denoted by μ (mu), with a standard deviation of σ (sigma).
The z-score formula is given by:
z = (X - μ) / σ
By substituting the appropriate values into the formula, we can calculate Lena's z-score.
Once we have the z-score, we can interpret it as the number of standard deviations Lena's flight experience is from the mean flight experience of the pilots association. A positive z-score indicates that Lena's flight experience is above the mean, while a negative z-score indicates it is below the mean.
To round our answer to two decimal places, we will truncate the z-score calculation after the second decimal point.
Please provide the values of Lena's flight experience, the mean flight experience of the pilots association, and the standard deviation so that I can calculate the z-score for you.
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Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
x= 6 y=40
Step-by-step explanation:
Solve the equation or inequality 3(14+x) =57 for the unknown number. Show your work.
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3(14 + x) = 57
Step 2: Solve for x
[Distributive Property] Distribute 3: 42 + 3x = 57[Subtraction Property of Equality] Subtract 42 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
x=5
Step-by-step explanation:
First multiply 3(14+x) = 42 + 3x
Now you have the equation 42 + 3x =57
Then subtract 42 from both sides
The equation would be 3x = 15
Divide 3 from each side to get the x value
15/3=5
So therefore your answer would be x = 5
Hope this helps!
use the shell method to find the volume of the solid generated by revolving the region bounded by the line y
The shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell,
What is the shell method used for?The volume of the solid generated by revolving the region bounded by the line y = f(x), where f(x) is a function, using the shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell, h is the height of the shell, and dx represents an infinitesimally small change in x.
The limits of integration are determined by the intersection points of the line y = f(x) with the x-axis. We evaluate the integral from the lower limit to the upper limit to obtain the volume of the solid.
The shell method allows us to calculate the volume by considering infinitesimally thin cylindrical shells perpendicular to the axis of revolution.
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