In 1970, 36% of first year college students thought that being "very well off financially is very important or essential." By 2000 the percentage had increased up to 74%. These percentages are based on nationwide multistage cluster samples.a) Is the difference important? Or does teh question make sense?
b) Does it make sense to ask if the difference is statisically significante? Can you answer on the basis of the informations given?
c) Repeat b), assuming the percentages are based on independant simple random samples of 1,000 first year college students drawn each year.
Answers
Answer:
a. The difference is important but the question does not make sense
b. Yes, it makes sense to ask if the difference is statistically significant.
c. Please check explanation
Step-by-step explanation:
From the question, we identify the following relation;
:
= 0
:
≠ 0
a) The difference is important as asked, but the cultural atmosphere difference of over 30 years makes the question somehow not making sense
b) Yes, it makes sense. In order to answer, it is necessary to know the sample size of the year 2000 survey.
We can answer the question on the basis of the information given.
c) We proceed here as follows;
α = 0.05 , = 1.96 ( This is the critical value)
Thus, z = (0.74-0.36)/√(0.36-0.64)/1000 = 25.03
We make the following conclusions; Since 25.03 > 1.96, the null hypothesis is rejected which means that the proportion of people who think being well officially is important has changed since 1970.
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What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?
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3y+2=2y+4multi-step equations
Answers
Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.
Thus, 68% of the incomes lie between $36,400 and $38,000.
Answers
Answer: 135 degrees
Step-by-step explanation:
First you now that ABD+DBC=180 degrees
Subsitute so you get: (5x+10)+(2x-5)=180
Solve:
(5x+10)+(2x-5)=180
=> 7x+5=180
=> 7x=175
=> x= 25
Plug in 25 :
ABD= 5*25+10=135
And there is your answer
Logx-log(x+13)=1
Step by step explanation please
Answers
Answer:
Step-by-step explanation:
Applying logarithm rule
Log A - Log B= Log(A/B). Division rule
Now, Logx-log(x+13)=1
Log(x/(x+13))=1
Assume that the log is a natural log whose base is 10.
Then apply logarithm law
Log10 base 10=1
Comparing this to Log(x/(x+13))=1
This implies that
x/(x+13)=10
x=10(x+13)
x=10x+130
x-10x=130
-9x=130
x=130/-9
x=-14.444
Height: ___ ft
Answers
Answer:
the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.
Step-by-step explanation:
To find the width of the path at the surface of the pond, we need to find the x-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a = -0.1 and b = 2.8. Substituting these values, we get:
x = -2.8 / 2(-0.1) = 14
So the width of the path at the surface of the pond is 14 feet.
To find the height of the path, we need to find the y-coordinate of the vertex of the parabola y = -0.1x^2 + 2.8x. The y-coordinate of the vertex is given by:
y = f(x) = -0.1(x - h)^2 + k
where (h,k) is the vertex of the parabola. To find the vertex, we can use the formula:
h = -b/2a and k = f(h)
Substituting a = -0.1 and b = 2.8, we get:
h = -2.8 / 2(-0.1) = 14
k = f(14) = -0.1(14)^2 + 2.8(14) = 19.6
So the vertex of the parabola is (14, 19.6), which means the maximum height of the path above the surface of the pond is 19.6 feet.
Therefore, the width of the path at the surface of the pond is 14 feet, and the height of the path above the surface of the pond is 19.6 feet.
Answers
Answer:
(2/3, -9/2)or (2/3, 4 1/2)
Step-by-step explanation:
Answers
Answer:
7 units
Step-by-step explanation:
d=√(x2-x1)² + (y2-y1)²
x1=-5
x2=-5
y1=1
y2=8
d=√(-5--5)² + (8-1)²
d=√0² + 7²
d=√49
d= 7 units