Which of the following statements regarding sampling distributions is true? Select one: a. The sample mean, ĉ will always be equal to pa. b. The standard error of a will always be smaller than o. C. The sampling distribution of ī will always be continuous regardless of the population. d. The sampling distribution of the sample mean is normally distributed, regardless of the size of sample n.
Answers
The statement that is true regarding sampling distributions is that the sampling distribution of the sample mean is normally distributed, regardless of the size of sample n.The concept of a sampling distribution is vital in statistics. The distribution of the sample statistics, such as the sample mean, standard deviation, and others, is called a sampling distribution.
The sampling distribution of a statistic is a theoretical probability distribution that describes the likelihood of a statistic's values. The sampling distribution of the mean is an essential concept in statistics.The sampling distribution of the sample mean is a normal distribution. The size of the sample doesn't affect this fact. The sample mean is an unbiased estimator of the population mean, and the variance of the sample mean decreases as the sample size increases.A distribution with a normal distribution has well-known characteristics.
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Related Questions
Minimize z=5x1+4x2 Subject to: 6x1+2x2≤24 x1+2x2≤6 −x1+x2≤1 x2≤2
Answers
By substituting the corner points into the objective function, we can compare the values of z and identify the minimum. The corner point with the lowest z value will give us the optimal solution.
To solve the given linear programming problem completely, we will follow the steps mentioned earlier. Let's go through the process in more detail:
Step 1: Identify the decision variables:
Let x1 and x2 be the decision variables representing the values we want to find that minimize z.
Step 2: Formulate the objective function:
The objective function is given as z = 5x1 + 4x2.
Step 3: Formulate the constraints:
The given constraints are:
6x1 + 2x2 ≤ 24
x1 + 2x2 ≤ 6
-x1 + x2 ≤ 1
x2 ≤ 2
Step 4: Combine all the constraints:
To combine the constraints, we rewrite them in standard form:
6x1 + 2x2 ≤ 24 ---> 6x1 + 2x2 + 0x3 + 0x4 = 24
x1 + 2x2 ≤ 6 ---> x1 + 2x2 + 0x3 + 0x4 = 6
-x1 + x2 ≤ 1 ---> -x1 + x2 + 0x3 + 0x4 = 1
0x1 + x2 ≤ 2 ---> 0x1 + x2 + 0x3 + 0x4 = 2
Step 5: Solve the linear programming problem:
To solve this linear programming problem, we can use various methods such as the Simplex method or graphical method. Here, we'll use the graphical method to find the optimal solution.
First, let's plot the feasible region by graphing the equations of the constraints:
Plotting 6x1 + 2x2 = 24:
x1 | x2
0 | 12
4 | 0
Plotting x1 + 2x2 = 6:
x1 | x2
0 | 3
6 | 0
Plotting -x1 + x2 = 1:
x1 | x2
-1 | 0
0 | 1
Plotting x2 = 2:
x1 | x2
0 | 2
Next, we need to find the feasible region by considering the overlapping shaded area formed by the inequalities. However, I cannot provide a visual representation here. Please refer to a graphing tool or software to plot the equations and find the feasible region.
Finally, we evaluate the objective function z = 5x1 + 4x2 at the corner points of the feasible region to determine the minimum value of z. Each corner point represents a specific combination of x1 and x2 within the feasible region.
By substituting the corner points into the objective function, we can compare the values of z and identify the minimum. The corner point with the lowest z value will give us the optimal solution.
Please note that without the graphical representation, I am unable to provide the exact numerical solution. I recommend using a graphing tool or linear programming software to visualize the feasible region and determine the optimal values of x1 and x2 that minimize z.
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Find the sum for each geometric sequence. 2 4 8 16 32
Answers
The sum for each geometric sequence is 62.
Given:
Geometric sequence,
2 4 8 16 32
Number of terms n = 5
First term a = 2
common ratio r = 4/2
= 2
Sum \(S_5 = a(r^n-1)/r-1\)
= 2(2^5 - 1)/2-1
= 2(32 - 1)/1
= 2(31)/1
= 2*31
= 62
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The container that holds water for the football team is 1/2 full. After pouring in 5 gallons of water, it is 5/6 full. How many gallons can the container hold?
Answers
Answer:
the container can hold up to about 15 gallons
what is the value of x?
Answers
Answer:
84°
Step-by-step explanation:
I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.
An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
Answers
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
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What is the measure of ZRSP in the diagram below?
R
79°
43°
S
A. 58°
B. 101°
C. 122
D. 180°
Answers
Greetings from Brasil...
We know that the sum of the internal angles of a triangle is 180....
Bringing to our problem:
Angle P + Angle R + Angle S = 180
43 + 79 + Angle S = 180
Angle S = 180 - 43 - 79
Angle S = 58Write the value of each expression in standard form. Expression Standard Forr 2hundres×10 in standard form
Answers
200 x 10
2 x 10^2
Your high school is having a competition where students have to guess how many candy canes are in a jar. The tens digit is 4 more than twice the ones digit. The sum of the digits is 4. How many candy canes are in the jar
Answers
Answer:
40
Step-by-step explanation:
let ones be x
tens is 4 + 2x
4 + 2x + x = 4
3x = 0
x = 0
tens is 4 + 2*0
tens = 4
40 candy canes
g a piece of wire 9 m long is cut into two pieces. one piece is bent into a square and the other is bent into an equilateral triangle. (a) how much wire should be used for the square in order to maximize the total area? correct: your answer is correct. m (b) how much wire should be used for the square in order to minimize the total area? incorrect: your answer is incorrect. m
Answers
(a) The length of wire that should be used for the square in order to maximize the total area is 9 meters.
(b) Using the same 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.
(a) To maximize the total area, we need to use as much wire as possible for the square and as little as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.
For the square, we have:
4s = x, where s is the side length of the square.
For the equilateral triangle, we have:
3t = 9 - x, where t is the side length of the equilateral triangle.
Solving for x in terms of s and t, we get:
x = 4s and x = 9 - 3t/2.
Substituting x = 4s into x = 9 - 3t/2, we get:
4s = 9 - 3t/2
8s = 18 - 3t
t = (18 - 8s)/3
The area of the square is given by A = s^2, and the area of the equilateral triangle is given by A = (\(\sqrt{3}\)/4)t^2.
Substituting t = (18 - 8s)/3, we get:
A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2
To maximize the total area, we need to maximize A, which is a function of s. Taking the derivative of A with respect to s, we get:
dA/ds = -4\(\sqrt{3}\)(4s-9)/27
Setting dA/ds = 0, we get:
4s - 9 = 0
Solving for s, we get:
s = 9/4
Therefore, the length of wire that should be used for the square in order to maximize the total area is:
x = 4s = 9 meters.
(b) To minimize the total area, we need to use as little wire as possible for the square and as much as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.
Using the same equations as in part (a), we get:
t = (18 - 8s)/3
A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2
Taking the derivative of A with respect to s, we get:
\(dA/ds = -4\sqrt{3}(4s-9)/27\)
Setting dA/ds = 0, we get:
4s - 9 = 0
Solving for s, we get:
s = 9/4
This is the same value as in part (a), which means that using 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.
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Without finding the sum, determine if the sum of -4 + 2 will be positive or negative
Answers
Answer:
negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
Adding two to '-4' would not be enough to make the number positive.
Any number that is greater than 4 that is added to '-4' would result in a positive number sum.
-4 + 2 = -2
Hope this helps.
In 2009, the average compensation for CEOs in the U.S. was approximately $10,800,000, and by 2016, this had risen to about $12,800,000. By comparison, the average compensation for workers was $54,700 in 2009 and $55,800 in 2016. Assume that both values are growing exponentially. Find the growth rate r for both salaries. State your answers as percentages rounded to the nearest tenth of a percent.For CEOs: r= %For workers: r = %
Answers
The exponential growth formula is given by
\(C=a(1+r)^t\)where C is the average compensation, a is the initial amount and t is the time (in years).
For the CEO's case, we have that
\(\begin{gathered} \text{for t=2009, C=10800000} \\ \text{for t=2016, C=12800000} \end{gathered}\)Then, we can find a and r with these values. By substituting the first values, we have
\(10800000=a(1+r)^{2009}\)By substituting the second values, we get
\(128000000=a(1+r)^{2016}\)By isolating a in both case, we have that
\(\begin{gathered} a=\frac{10800000}{(1+r)^{2009}} \\ \text{and} \\ a=\frac{12800000}{(1+r)^{2016}} \end{gathered}\)Then, we can state the following equation:
\(\frac{10800000}{(1+r)^{2009}}=\frac{12800000}{(1+r)^{2016}}\)or equivalently,
\(\begin{gathered} \frac{(1+r)^{2016}}{(1+r)^{2009}}=\frac{128000000}{108000000} \\ \frac{(1+r)^{2016}}{(1+r)^{2009}}=1.185185 \end{gathered}\)By applying natural logarithm in bot sides, we have
\(\begin{gathered} \ln (\frac{(1+r)^{2016}}{(1+r)^{2009}})=\ln 1.185185 \\ \ln (\frac{(1+r)^{2016}}{(1+r)^{2009}})=0.169899 \end{gathered}\)By the properties of logarithms:
\(\ln (\frac{A}{B})=\ln A-\ln B\)we obtain
\(\ln (1+r)^{2016}-\ln (1+r)^{2009}=0.169899\ldots.(a)\)By the property of logaritm:
\(\ln A^x=x\ln A\)The last result is equivalent to
\(\begin{gathered} 2016\ln (1+r)-2009\ln (1+r)=0.169899 \\ which\text{ gives} \\ 7\ln (1+r)=0.169899 \end{gathered}\)then, by moving the number 7 to the right hand side, this yields,
\(\begin{gathered} \ln (1+r)=\frac{0.169899}{7}\ldots(b) \\ \ln (1+r)=0.024271 \end{gathered}\)Now, by applying the exponential function in both sides, we have
\(\begin{gathered} 1+r=e^{0.024271} \\ 1+r=1.024568 \end{gathered}\)then, r is given by
\(\begin{gathered} r=1.024568-1 \\ r=0.0245 \end{gathered}\)Now, by converting this result into percent form. The answer for the CEO's case is
\(r=2.45\text{ \%}\)Now, for the workers case, we can do the same procedure and get an equation similar to equation (a). That is,
\(\begin{gathered} \ln (1+r)^{2016}-\ln (1+r)^{2009}=\ln (\frac{55800}{54700}) \\ \ln (1+r)^{2016}-\ln (1+r)^{2009}=\ln (1.020109) \\ \ln (1+r)^{2016}-\ln (1+r)^{2009}=0.0199 \end{gathered}\)and find somthing similar to equation (b)
\(\begin{gathered} \ln (1+r)=\frac{0.0199}{7}\ldots \\ \ln (1+r)=0.0028 \end{gathered}\)and finally,
\(\begin{gathered} 1+r=e^{0.0028} \\ 1+r=1.0028 \end{gathered}\)then, r will be
\(\begin{gathered} r=1.0028-1 \\ r=0.0028 \\ In\text{ percent form is} \\ r=\text{ 0.28 \%} \end{gathered}\)In summary,by rounding the answers to the nearest tenth percent, the answers are
\(\begin{gathered} \text{For CEO's:} \\ r=2.5\text{ \%} \\ \text{For workers:} \\ r=0.3\text{ \%} \end{gathered}\)Tollowing statement.
The type of rule in which you are given the first term and then your equation gives you a method for finding the
next term in a sequence.
Answers
Answer:
recursive
Step-by-step explanation:
recursive lets us find the next term using a formula of the term preceding it or coming before it.
The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
What is recursive function ?
Recursive function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc
so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
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Which is true about the functional relationship showing in the graph
Answers
Answer
Where’s the graph
:
Step-by-step explanation:
Please Help
Can someone explain where the 4i to the square root of 3 came from?
Answers
Answer:
see explanation
Step-by-step explanation:
note that \(\sqrt{-1}\) = i
\(\sqrt{64-112}\)
= \(\sqrt{-48}\)
= \(\sqrt{16(3)(-1)}\)
= \(\sqrt{16}\) × \(\sqrt{3}\) × \(\sqrt{-1}\)
= 4 × \(\sqrt{3}\) × i
= 4i\(\sqrt{3}\)
If you meet all the criteria for an independent t-test, but do not satisfy the assumption of normality, you should technically _________________________.
a. redo the experiment
b. visit your therapist
c. ignore it
d. do a non-parametric test
Answers
If you meet all the criteria for an independent t-test but do not satisfy the assumption of normality, you should technically do a non-parametric test instead of an independent t-test.
So, the correct answer is D.
What's Non-parametric testsNon-parametric tests do not require the data to be normally distributed, unlike parametric tests such as t-tests. Non-parametric tests include the Mann-Whitney U test, Wilcoxon rank-sum test, and Kruskal-Wallis test.
These tests are based on ranks rather than the actual values of the data and are generally less powerful than parametric tests, meaning that they may require larger sample sizes to achieve the same level of statistical significance.
It is important to choose the appropriate statistical test for your data to ensure accurate results and conclusions. Simply redoing the experiment or ignoring the violation of the normality assumption is not a valid solution.
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How many significant figures should be included in the answer to the following calculation? (3.4876)/(4.11+1.2
Answers
The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.
To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.
First, let's analyze the number of significant figures in the given values:
- 3.4876 has five significant figures.
- 4.11 has three significant figures.
- 1.2 has two significant figures.
To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:
4.11 + 1.2 = 5.31
Now, we divide 3.4876 by 5.31:
3.4876 / 5.31 = 0.6567037...
Now, let's determine the number of significant figures in the result.
Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.
In this case, the value with the fewest significant figures is 5.31, which has three significant figures.
Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.
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Someone help plz I need some help good at finding slope people? Anyone
Answers
since the slope is decreasing, it is negative.
Answer:
So the slope is -5/2.
Step-by-step explanation:
You want to look at the line to find the slope of it. For slope you want to find rise/run. This is the same as: change in y/change in x. awe have 2 points (the blue dots) to find slope. With this, let's find the change in y and the change in x. For those 2 dots, the change in y is down 5, which means -5 (if it was up 5 it would be 5)For change in x, it is to the right 2, which means 2 (if it was 2 to the left then it would be -2). Therefore, the slope would be change in y/change in x which is -5/2 (the 3rd option)Evaluate the limit or determine that it does not exist. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)
lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 )) =
Answers
The limit exists and the exact answer is 0.
To evaluate the limit or determine that it does not exist, we need to find the value of the function as (x,y) approaches (0,0).
lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 ))
First, we can simplify the expression by substituting (0,0) for (x,y):
lim ( 0 , 0 ) → ( 0 , 0 ) ( 0 + 0 + 3 ) e ^ (− 1 / ( 0 ^ 2 + 0 ^ 2 ))
This simplifies to:
lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) e ^ (− 1 / 0 )
As the denominator in the exponent approaches 0, the value of the exponent approaches negative infinity. This means that the value of e to the negative infinity approaches 0:
lim ( 0 , 0 ) → ( 0 , 0 ) ( 3 ) ( 0 )
The limit of this expression is 0, so the limit of the original expression is also 0:
lim ( x , y ) → ( 0 , 0 ) ( x + y + 3 ) e ^ (− 1 / ( x ^ 2 + y ^ 2 )) = 0
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Please help me I will give BRAINLIST and a like
I rlly need help
Answers
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Which type of transformation does NOT result in a figure that is congruent to the original one?
A) dilation
B) reflection
C) rotation
D) translation
E) refraction
Answers
Answer:
I would go for translation as that relates to a language I guess.
Step-by-step explanation:
Answer
A.
Step-by-step explanation:
Why? Because congruent means same shape and SIZE, so if the original shape got bigger it would not be the same size.
4% as decimal
.........................
Answers
Answer:
4
100
=
0.04
Step-by-step explanation:
A box in the shape of a rectangular prism has a length of 358 inches in width of two 1/2 inches and a height of 4 inches. What is the volume of the box?
Answers
The volume of the box in shape of a rectangular prism is solved to be
716 inches³
What is a rectangular prism?Three-dimensional object with six faces is called a rectangular prism (two at the top and bottom and four are lateral faces).
The prism has rectangular-shaped faces on each side. As a result, there are three sets of matching faces in this picture. Rectangular prisms are sometimes known as cuboids due to their shape.
In the given problem the formula used for volume of prism is
= length * width * height
= 358 * 1/2 * 4
= 716 inches³
The prism has a volume of 716 inches³
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The volume of the rectangular prism with a length of 358 inches, width of 1/2 inches and a height of 4 inches is 716 in³.
What is the volume of the rectangular prism?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, h is height and l is length.
Given that;
Length l = 358 inWidth w = 1/2 inHeight h = 4 inPlug the given values into the above formula and simplify.
V = w × h × l
V = 1/2 in × 4 in × 358 in
V = 716 in³
Therefore, the volume of the box is 716 in³.
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‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️
Answers
Answer:
4. B
(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)
Step-by-step explanation:
I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x
This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).
This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )
HOWEVER, when we do a statement that does not correspond to the table
it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.
A car is driving at 60 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answers
The car will travel a distance of 33.34 meter in 2 sec.
What is velocity?The definition of velocity is a vector estimate of the rate & direction of motion.
Some features abut the velocity are-
Simply put, velocity is the rate that something moves in a single direction. The velocity of a car moving north on the a major motorway and the velocity of a rocket ascending into space may both be measured.The velocity vector's scalar (absolute value) magnitude is, as you might expect, the speed of motion. Velocity is the very first derivative of position with reference to time in calculus. A simple formula that involves rate, distance, and time can be used to calculate velocity.Now according to the question-
A car is driving at 60 kilometers per hour.
That means car is travelling 60 km in 1 hour.
Velocity of the car = 60km/hr
convert the velocity in m/s
1 km = 1000 m
1 hour = 3600 second.
velocity = (60×1000m)/3600s
velocity = 100/6 m/s
Now, the distance covered by the car in 2 seconds
Distance = velocity×time
Distance = (100/6)×2
Distance = 100/3
Distance = 33.24 (approx)
Therefore, distance covered by the car in 2 second is 33.34 meters.
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9. You are selling x un its of a product. The fixed costs for this product are $47500 and the variable costsare $65.25 per unit. You plan to see the product for $85.50 per unit.A. Find an equation for the total cost of selling x units.B. Find an equation for the total revenue for selling x units.C. Find an equation for the total profit for selling x units.D. Find the break even point. Be sure to show your work. Round to an appropriate whole number.E. How many units do you need to sell to earn a profit of $100,000? Round to an appropriate wholenumber.F. If you sell 1400 urnes, how much profit do you earn?
Answers
The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,000 per year. Rob is an engineer. The mean salary for engineers with less than 5 years’ experience is $60,000 with a standard deviation of $5,000. Rachel works in the retail industry, where the mean salary for executives with less than 5 years’ experience is $35,000 with a standard deviation of $8,000.
a). Compute the z values for both Rob and Rachel. (Round your answers to 2 decimal places. Negative amount should be indicated by a minus sign.)
Rob:
Rachel:
Answers
Therefore, Rob's z-value is -2 and Rachel's z-value is 1.88.
The z-score can be calculated using the formula z = (x-μ)/σ, where x is the given value, μ is the mean, and σ is the standard deviation.
a) Compute the z-values for both Rob and Rachel.
Rob's z-value = (x-μ)/σ
= (50,000-60,000)/5,000
= -2.
Rachel's z-value = (x-μ)/σ
= (50,000-35,000)/8,000
= 1.88
The above solution gives a step-by-step explanation of how to find the z-value for each of the twins - Rob and Rachel. The z-score is used to determine how far a data point is from the mean, measured in standard deviations. The mean is the average of all the data points in a set. The standard deviation is a measure of the amount of variation or dispersion in a set of data. The z-score can be positive or negative, depending on whether the data point is above or below the mean. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that the data point is below the mean.
In this problem, the mean and standard deviation for the salaries of engineers and retail executives were given. We used these values to calculate the z-scores for Rob and Rachel.
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18. The table lists the estimated numbers in millions of airline passengers at some of the
fastest-growing airports in 1992 and 2005.
Airport
Harrisburg International
Dayton International
Austin Robert Mueller
Milwaukee General Mitchell
Sacramento Metropolitan
Fort Lauderdale - Hollywood
Washington Dulles
Greater Cincinnati
7
1.1
2.2
2.2
2.6
4.1
5.3
5.8
1992 (as x)
1.4
2.4
4.7
4.4
5.0
8.1
10.9
12.3
Using the equation of the regression line, what will y be when x=4.9?
A. 20.6
B. 100.5
C. 10.1
2005 (as y)
D. 5.8
Answers
Using the provided data, we can calculate the equation of the regression line using linear regression analysis. This will allow us to predict the value of y for any given x.
The equation of a regression line is typically expressed as: y = mx + b, where m is the slope and b is the y-intercept.
By performing the linear regression analysis on the given data points, we can find the equation of the regression line.
Using statistical software or a regression calculator, we can determine the equation of the regression line to be approximately:
y = 1.96x - 1.74
Now, we can substitute x = 4.9 into the equation to find the predicted value of y:
y = 1.96(4.9) - 1.74
y ≈ 9.604 - 1.74
y ≈ 7.864
Therefore, when x = 4.9, the predicted value of y is approximately 7.864.
The closest option to this value is C. 10.1.
1. Write any four Rational numbers between (-2)/3 and 4/6
Answers
Answer:
At this moment, I can only think of -(-8) and 12
Step-by-step explanation:
please help HEYMLMUM
Answers
Answer:
J
Step-by-step explanation:
60 is 150% of what number?
Answers
Answer:
40
Step-by-step explanation:
You write down the %/100 = is/of 1st
So what you want to do is remove the percentage first and the place 150% And then place 60 on the "is" Numerator. And as u can see you do 100 * 60, that'll give you 600 and then the 150% is left alone, so you divide 600 and 150 And the answer is going to be 40
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Answer:
40
Step-by-step explanation:
x = 60 × 100 /150
x= 40