Answer:
A population is the entire group that you want to draw conclusions about. A sample is the specific group that you will collect data from. The size of the sample is always less than the total size of the population
2. The German Shepard actually weighs 28 pounds. Lisa thought the
dog weighed 44 pounds. What is the percent error?
Answer:
Lisa's percentage of error regarding the weight of the dog was 57.14%.
Step-by-step explanation:
Given that the German Shepard actually weighs 28 pounds, but Lisa thought the dog weighed 44 pounds, to determine what is the percent error the following calculation must be performed:
28 = 100
44 = X
(44 x 100) / 28 = X
4,400 / 28 = X
157.14 = X
157.14 - 100 = 57.14
Thus, Lisa's percentage of error regarding the weight of the dog was 57.14%.
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
QUICK does anyone know this? if so please answer i need to turn this in asap!
Answer:
10, 8, -5. Pls tell me if wrong i will retry. Im doing this mentally to be fast.
Step-by-step explanation:
A. 12 - |1 + -3 | = 12 - 2 = 10
B. 6 - -2 = 8
C. 18 -3/-3 = 15/-3 = -5
Answer:
14,8,-5
Step-by-step explanation:
1. 12-{1+(-3)}
12-{1(-3)} 1-3=-2
12-(-2) -×-=+
12+2
14
2. 6-{1+(-3)}
6-(1-3)
6-(-2)
6+2
8
3. 3×6+(-3)
________
-3
18-3
______
-3
15
_____
-3
=-5
What is the equation of the blue line?
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
Learn more about Slope intercept form here
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5/8x7/6 as a fraction simplified
Step-by-step explanation:
5÷8
7 6
=5 ×6
7× 8
=30
56
= 30÷2
56÷2
=15
28
Suppose that a person who has recently helped start a company for the first time is randomly selected. The probability that the company will fail within 2 years is 0.3. Suppose we follow 14 start-ups (98 people) for 2 years and record the number of people whose company failed. Why is the binomial model inappropriate for finding the probability that at least 42 of these 98 people
Answer:
The Binomial model is inappropriate because the Trials are independent of each other
Step-by-step explanation:
Given data :
probability of a company started by a person failing with 2 years = 0.3
14 start-ups ( 98 people ) are followed for 2 years
The probability that at least 42 of these 98 people will fail in 2 years
Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail
The Binomial model is inappropriate because the Trials are independent of each other
Suppose the derivative of f exist, find the equation of the tangent line.
Part (a)
Answers:
g ' (2) = 32y = 32x-44-----------------------------------
Work Shown:
Refer to figure 1 in the screenshot attached below.
========================================================
Part (b)
Answers:
h ' (2) = -2y = -2x+9-----------------------------------
Work Shown:
Refer to figure 2 in the screenshot attached below.
Correction:
The derivative for h should be
[tex]h(x) = f(x)*(x-1)^{-1}\\\\h'(x) = \frac{d}{dx}[f(x)*(x-1)^{-1}]\\\\h'(x) = \frac{d}{dx}[f(x)]*(x-1)^{-1}+f(x)*\frac{d}{dx}[(x-1)^{-1}]\\\\h'(x) = f'(x)*(x-1)^{-1}+f(x)*(-1(x-1)^{-2})\\\\[/tex]
I had a -2 in there instead of -1 as the coefficient.
You should find that h ' (2) = -2
That would then lead to y = -2x+9
The steps shown in figure 2 are effectively the same, just with different numbers of course.
(2x-3)/4 + (2x-5)/6= 1/2
Answer:
Step-by-step explanation:
making all terms have a common denominator of 12
(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out
3(2x-3)+2(2x-5)=6
6x-9+4x-10=6
10x-19=6
10x=25
x=2.5
The 1st flat-bar, or cross, or other operator means:
-9-(-7)
-9-(-7)
-9--7
-9+7
7-9
-2
---
hope it helps
quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
Is 12/8 less than, equal to, or greater than 11/6?
Answer:
it's less than
Step-by-step explanation:
12/8 simplified is 3/2
11/6 cannot be further simplified
3/2<11/6
In a certain skyscraper, the elevators whisk you to a restaurant in the skyscraper at a speed of 500 feet in 40 seconds. If the restaurant is 300 feet up, how long will it take you to reach the restaurant by elevator?
Answer:
24
Step-by-step explanation:
Answer:
ur lame asl
Step-by-step explanation:
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Answer:
180 minutes to cook 9lb turkey.
Step-by-step explanation:
Let the time taken to cook a 9lb turkey be x.
Using proportions,
6/120 = 9/x
6x = 120 x 9
6x = 1080
x = 1080/6
x = 180
Question
If a 6 lb turkey takes 120 minutes to cook, how long would a 9 lb. Turkey take to cook?
Solution
time taken by 6 lb. Turkey to cook = 120 minutes
time taken by 1 lb. Turkey to cook = (120/6 = 20) minutes
time taken by 9 lb. Turkey to cook = ( 20×9= 180 ) minutes
geometry please help me!!
Answer:
N=433.31
Step-by-step explanation:
720(cos(53))=(n/720)720
n=720cos(53)
n=433.306
n=433.31
Hope this helps i aced this unit
Your engineering position requires frequent travel to the west coast, typically through Chicago. In reviewing historical airline data, you have determined that over the last year flights into Chicago on Southwest have been normally distributed, arriving an average of 72.3 minutes late with a standard deviation of 9.8 minutes. Yesterday, a travel agent informed you that Southwest recently changed their scheduling into Chicago and has improved arrival times. To confirm this claim, you collect the arrival times for a random sample of 47 Southwest flights arriving into Chicago, and find a sample mean of 70.7 minutes and a sample standard deviation of 7.1 minutes. Has there been a change in the mean arrival times on Southwest
Answer:
The given data does not support the submission that there has been a change in the mean arrival times on Southwest
Step-by-step explanation:
The known mean late arrival time, μ = 72.3
The known standard deviation in late arrival time, σ = 9.8 minutes
The number of flights in the sample, n = 47
The sample mean late arrival time, [tex]\overline x[/tex] = 70.7
The sample standard deviation late arrival time, s = 7.1
Using a significance level of 0.01
The null hypothesis is, H₀ ; μ = 70.7
The alternative hypothesis is, Hₐ ; μ ≠ 70.7
The test statistic is given as follows;
[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]
[tex]z=\dfrac{70.7-72.3 }{\dfrac{9.8 }{\sqrt{47}}} \approx -1.119290547[/tex]
∴ z ≈ -1.12
p-value = 2 × P(z < -1.12) = 2 × 0.13136 = 0.26272
Given that the p-value of 0.26272 is larger than the significance level, 0.05, we fail to reject the null hypothesis
Therefore, there is not enough statistical evidence to show that there has been a change in the mean arrival times on Southwest
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Enter relative frequencies to three decimal places.)x Frequency Relati veFrequency01245678(b) What proportion of batches in the sample have at most six nonconforming transducers? (Enter your answer to three decimal places.)What proportion have fewer than six? (Enter your answer to three decimal places.)What proportion have at least six nonconforming units? (Enter your answer to three decimal places.)
Answer:
(a) See attachment for table
(b) [tex]Atmost\ 6 = 21.667\%[/tex]
(c) [tex]Less\ than\ 6 = 21.667\%[/tex]
(d) [tex]At\ least\ 6 = 78.333\%[/tex]
Step-by-step explanation:
Given
The data (in the question)
Solving (a): Frequency and Relative frequencies of each data
The range of the data is 0 to 8. So the frequency of each is the number of times each of 0 - 8 occurs.
This is tabulated below:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {0} & {7} & {11.667\%} &{1}& {13} & {21.667\%} & {2} & {13} & {21.667\%} & {3} & {14} &{23.333\%} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
[tex]Total\ \ \ 60[/tex]
The relative frequency is calculated as:
[tex]Relative\ Frequency = \frac{Frequency}{Total\ Frequency} * 100\%[/tex]
For instance: When x = 0:
[tex]Relative\ Frequency = \frac{7}{60} * 100\%[/tex]
[tex]Relative\ Frequency = \frac{700}{60} * \%[/tex]
[tex]Relative\ Frequency = 11.667 \%[/tex]
Solving (b): Proportion that have at most 6.
Here, we consider frequencies of 0 to 6.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Atmost\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Atmost\ 6 = 21.667\%[/tex]
Solving (c): Proportion that have at fewer than 6.
Here, we consider frequencies of 0 to 5.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Less\ than\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Less\ than\ 6 = 21.667\%[/tex]
Solving (d): Proportion that have at least 6.
Here, we make use of the complement rule:
[tex]At\ least\ 6 = 100\% - Less\ than\ 6[/tex]
[tex]At\ least\ 6 = 100\% - 21.667\%[/tex]
[tex]At\ least\ 6 = 78.333\%[/tex]
What are some words that we can use to represent a positive or negative integer?
Answer:
Profit, increase, and income are all examples of words that mean positive. A negative number is a number that is less than zero. It is always written with a - symbol in front of it. A loss is written with a negative number
Hope this helps
Evaluate the value of: √100/49x400
Answer:
This is your answer ☺️☺️☺️
E
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1
Write an equation in slope intercept form for the following graph.
--
1
Answer: (-4 ,4)
Step-by-step explanation:
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
The latest New York Times/CBS News Poll is based on telephone interviews conducted from Sept. 13 to Sept. 18 with 1664 adults around the United States. This poll has a margin of error (based on a 95% confidence) of /- 3%. Identify each of the following: a. Sample b. Parameter c. Statistic d. Population e. Confidence level f. Margin of error g. After the survey was completed it was found that the list of telephone numbers did not include several regions. It was also found that the areas omitted had a very large religious population and the results were biased. Is this a sampling or a non-sampling error
Answer:
a. Sample = 1664 adults
b. Parameter= % of poll based on telephone interview
c. Statistic = 66%
d. Population = American adult population
e. Confidence level= 95%
f. Margin of error = +/- 3%
g. Sampling Error
Step-by-step explanation:
The missing part of the question is
The quotation below describes an opinion poll conducted by CBS News and the New York Times. Oneof the questions asked was "Do you favor an amendment to the Constitution that would permitorganized prayer in public schools?" Sixty-six percent answered, "Yes."
a. Sample = 1664 adults
The number included in the sample
b. Parameter= % of poll based on telephone interviews
The sample chosen on the bases
c. Statistic = 66%
The statistic obtained after applying the formula etc.
d. Population = American adult population
The sample is chosen from the population
e. Confidence level= 95%
f. Margin of error = +/- 3%
g. Sampling Error
It is a sampling error because the areas omitted had a very large religious population and the results were biased.
The sample was not chosen from the areas omitted.
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
Melissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?
Answer:
depends on the ammount
Step-by-step explanation:
A cylinder has a diameter if 10units its radius is blank units
A:2. B:5. C:10. D:20
If it's height is twice it's radius, it's height is blank units
A:2. B:5. C:10. D:20
Its volume is about blank cubic units
A:157. B:250. C:500. D:785
Answer:
[tex]1. \to B:5...\\ 2.. \to C:10.\\3. \to D:785[/tex]
y
For the total population of a large southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that you are taking subsample of 200 city residents. What is the Z score for
$33,000?
Answer:
Z= -2.83
Brainliest please if you dont mind
441-p²=(21)²-(17)²
maths algebra
Step-by-step explanation:
hope it will help you......
Answer:
p = 17
Step-by-step explanation:
→ Expand out (21)² - (17)²
21² = 441 and 17² = 289 therefore 441 - 289 = 152
→ Plug value back into equation
441 - p² = 152
→ Minus 441 from both sides
- p² = -289
→ Square root both sides
p = 17
I really need this please
[tex](2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y[/tex]
using algbera solve 80 divide 10
Answer:
8
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94
The amount of money in the account at the end of the period would be $1345.58.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.
We can write the compound interest as -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
A = 480(1 + 0.15/4)^(4 x 1)
A = 480 + 865.58
A = 1345.58
Therefore, the amount of money in the account at the end of the period would be $1345.58.
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