Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:
Name length Less than Between 150,000 More than Total
150,000 and 250,000 250,000
Less than 8
characters 30 29 41 100
8 to 10
characters 43 41 33 117
More than 10
characters 26 28 25 79
Total 99 98 99 296
Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?
Answers
The expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is A = 33.45
What is the probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.
E ( X ) = μ = ∑x P ( x )
Given data ,
To find the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters, we need to calculate the expected count for that cell using the formula:
Expected Count = (row total * column total) / grand total
The row total for cities with more than 250,000 residents is 99, and the column total for names with less than 8 characters is 100. The grand total is 296
Expected Count = (99 * 100) / 296
Expected Count ≈ 33.45
Therefore , the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters is approximately 26.67
Hence , the distribution is 33.45
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The complete question is attached below :
Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the results:
Judson wants to perform a X2 test of independence between name length and population. What is the expected count for the cell corresponding to cities with more than 250,000 residents whose name has less than 8 characters?
Related Questions
In terms of \piπ, how much bigger is the area of a pizza with a diameter of 18 in. than the area of pizza with a diameter of 10 in.?
Answers
Answer:
56л
Step-by-step explanation:
area of a pizza of 18 in= лr²
r=18/2=9
area= л×9²
=81л
area of a pizza of 10in=
r=10/2=5
area=л×5²
=25л
difference=81л-25л
=56л
Si en una caja con 500 huevos se quebraron o estrellaron 100. ¿Qué porcentaje de huevos se quedó sin dañar
Answers
Answer:
500 -100 = 400
la respuesta es 400
What is the slope of the line that passes through the points (3, 2) and (-1,-4)?
m=
Answers
Explanation: the formula is y-y /x-x
So it’ll be 2-(-4) /3-(-1) which will give 6 /4 and that simplifies will give 2/ 3
Answer:
3/2
Step-by-step explanation:We know that,
Slope of the straight line passing through the points (x1,y1) and (x2,y2) is
m=y2-y1/x2-x1
Here,
Given, x1= 3,x2= 1
and y1= 2,y2= -4
so, the slope of the straight line is,
m= -4-2/-1-3
=3/2
Determine the location and absolute maximum and absolute minimum for the given function f(x)=(_x+2)^4 where 0
Answers
Answer:
the minimum is 0 and the maximum is 16.
Step-by-step explanation:
For a function f(x), the maximum is defined as:
f(xₐ)
such that:
f(xₐ) ≥ f(x) for every value of x in the domain.
And the minimum is:
f(xₙ)
Such that:
f(xₙ) ≤ f(x)
for every value of x.
Now, in this case we have the function:
f(x) = (-x + 2)^4 in the range 0 < x < 3
First, let's analyze our function.
We can see that the exponent is even, then:
f(x) = (-x + 2)^4
Can be equal to zero or larger than zero.
Then the minimum will be f(x) = 0
To find this, we need to find the value of x such that:
-x +2 = 0
2 = x
Then the minimum is:
f(2) = (-2 + 2)^4 = 0
For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).
Again, because f(x) = (-x + 2)^4 , the maximum will be at the value of x such that:
|-x + 2| is maximized.
As we have a negative sign multiplying x, the smaller value in the range:
x = 0
is the one that maximizes that:
|-0 + 2| = |2| = 2
Evaluating f(x) in x = 0 we get:
f(0) = (0 + 2)^4 = 16
Then the minimum is 0 and the maximum is 16.
Espanol
At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Sunday, 135 tickets were sold for a total sales of S1080.30. How many adult
tickets were sold that day?
Answers
9514 1404 393
Answer:
84 adult tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (135-a) is the number of child tickets sold, and total revenue is ...
5.70(135 -a) +9.40(a) = 1080.30
3.70a = 310.80 . . . . . . . . subtract 769.50 and simplify
a = 310.80/3.70 = 84
84 adult tickets were sold on Sunday.
Classify the following triangle. Check all that apply.
Answers
Answer:
This triangle is a right triangle
Using Figure 1, complete the following function.
sin θ=
A. u/r
B. v/r
C. u/v
D. r/v
E. v/u
F. r/u
Answers
Given:
A figure of right triangle with terminal angle [tex]\theta[/tex], base u, perpendicular v and hypotenuse r.
To find:
The value of [tex]\sin \theta[/tex].
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
[tex]\sin \theta=\dfrac{v}{r}[/tex]
The value of [tex]\sin \theta[/tex] is [tex]\dfrac{v}{r}[/tex].
Therefore, the correct option is B.
Solve for x:
х/2 = 8
O A) X= 17
OB) x = 18
OC) x = 16
OD) x = 12
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
C) x = 16
»»————- ★ ————-««
Here’s why:
We will use inverse operations to solve for 'x'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{2}=8\\-------\\\rightarrow{\frac{x}{2}=8}\\\\\rightarrow(\frac{x}{2}})*2=8*2\\\\\rightarrow\boxed{x=16}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 16
Step-by-step explanation:
х/2 = 8
Multiply each side by 2
x/2*2 = 8*2
x = 16
Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+9 top x+2
Pls help i will mark the brainliest!
Answers
This prompt is telling you to find the area of the rectangle, so you multiply these two factors. (x + 9)(x + 2).
One way you can do this is by using the foil method.
Which is:
(a+b) (c+d) = ac + ad + bc + bd
Explanation:
The blue rectangle is x*x = x^2 in areaThe pink rectangle has area of x*9 or 9xThe green rectangle has area 2*x or 2xThe orange rectangle has area 2*9 = 18Add up those areas to get the final answer
x^2+9x+2x+18 = x^2+11x+18
note the like terms 9x and 2x combine to 11x
Help me with my geometry homework
Answers
Answer:
10.5 is the answer
Step-by-step explanation:
i hope it helps u
Answer:
is the answer y=7? if correct its ok but if the answer didn't match then plesse let me know
onnie measures an object's mass in kilograms.
Which of the following objects is he most likely measuring?
A.
An apple
B.
A bicycle
C.
A paper clip
D.
A pencil
Answers
Answer:
a bicycle
Step-by-step explanation:
Answer:
B. A bicycle
Step-by-step explanation:
B. A bicycle
All the others would most likely be in grams
What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)
Answers
I’m not sure of the answer.
Answers
Step-by-step explanation:
l hope it helps mark the brainliest plzz
Answer:
option c is correct
Step-by-step explanation:
(3x^2 + 3)(4 + x^3)
=3x^2(4 + x^3) +3(4 + x^3)
=12x^2 + 3x^5 +12 +3x^3
=3x^5 + 3x^3 + 12x^2 + 12
HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
Answers
Answer:
[tex]\frac{x2}{a} - \frac{y2}{b2} = 1[/tex]
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
[tex]\frac{X2}{16} - \frac{b}{4} = 1[/tex]
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
[tex]\frac{x2}{a2} - \frac{y2}{b2} = 1[/tex]
[tex]\frac{x2}{16} - \frac{b2}{4} = 1[/tex]
At the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. If each type of potato costs $0.90 per pound, how many total pounds of potatoes does he buy?
Answers
Answer:
11.4pounds
Step-by-step explanation:
(5.58+4.68)÷0.90
＝11.4(pounds)
if loga (n) = 16, find loga (sqrtt n)
Answers
Answer:
8
Step-by-step explanation:
by definition:
[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]
what is the volume of this figure?
Answers
Answer:
23 blocks
Step-by-step explanation:
Count the blocks
The back wall has 3 blocks by 5 blocks which is 15 blocks
The front cubs has 4 blocks by 2 blocks = 8 blocks
Add them together = 15+8 = 23 blocks
10.6.23
Question Help
Becky would like to be a millionaire in 40 years. How much would she need to invest quarterly in a sinking
fund paying a 3% interest rate compounded quarterly to accumulate $1,000,000 in 40 years?
Answers
I = $ 1,200,000.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1000000 × 0.03 × 40 = 1200000
I = $ 1,200,000.00
The simple interest accumulated
on a principal of $ 1,000,000.00
at a rate of 3% per year
for 40 years is $ 1,200,000.00.
Daniel and Joe watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?
Answers
Answer: 3/8 yard
Step-by-step explanation:
Since the beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. To calculate how much farther the beetle crawl than the spider, we will have to subtract 1/8 from 1/2. This will be:
= 1/2 - 1/8
= 4/8 - 1/8
= 3/8 yard
Therefore, the beetle covered 3/8 yard more.
A recent study at Winthrop University was done to determine the ratio of democrats to republicans. Use the information in each problem to come up with an appropriate sample size to accurately estimate the mean. Let a republican represent a success r. If no preliminary sample is taken, how large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
Answers
Answer:
A sample of 752 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
No preliminary sample is taken
This means that [tex]\pi = 0.5[/tex]
How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.7[/tex]
Rounding up:
A sample of 752 should be taken.
Garcia bought 3 packs of red notebooks, 5 packs of yellow notebooks, and 8 packs of green notepads. There were 3 notepads in each package. How many notepads in all?
What is the expression?
Answers
The answer is 48 notepads.
The terms central location or central tendency relate to the way quantitative data tend to cluster around some middle or central value.
a. True
b. False
Answers
Answer:
A: True
Step-by-step explanation:
It's true because central tendency is defined as a branch of descriptive statistics that shows the centre of the data distribution.
This central tendency could be mean, median or mode.
What is the value of h?
Answers
Answer:
35
All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140
180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70 then you have to get h alone so you divide by the other 2 in the equation 70/2=35 h=35
Answer:
55
Step-by-step explanation:
In triangle ABC (LET'S SAY TRIANGLE IS ABC)
Angle A=40
Angle B = Angle C = x (since 2h is beside B and C both)
40+x+x=180 (Angle sum property)
40+2x=180
2x=140
x=70
2h+70=180 (Angle in a straight line=180)
2h=110
h=55
What are the more appropriate measures of center and spread for this data
set?
5
18
22 24 26
H
02
4 B
3 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of center: the mean
O B. Better measure of spread: the standard deviation
I c. Better measure of center: the median
I D. Better measure of spread the interquartile range (IOR)
Answers
Answer:
C and D
Step-by-step explanation:
The data is represented in a box plot given. In a box plot, the min, max, median, Q1, and Q3 are displayed.
If you want to measure the center of the data, you can make use of the median.
Also, an appropriate measure of spread to use is the interquartile range.
Interquartile range = Q3 - Q1.
Better measure of center to use is Mean while better measure of spread is interquartile range.
The correct options for measures of center and spread for the data set is option C and D
What are the best measures of center and spread of the data?The measures of center of data include the mean, median and mode.
The measures of spread include range, mean deviation, variance and standard deviation.
The give dat is a box plot where the min, max, median, Q1, and Q3 are shown.
The best measure of the center of the data, is the median.
The appropriate measure of spread is the interquartile range.
In conclusion, the more appropriate measures of center and spread for the data set is median and interquartile range respectively.
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Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as
Answers
Answer:
Matched samples
Step-by-step explanation:
A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.
Help please don’t understand!!!!
Answers
What is the surface area of the rectangular prism?
5 ft
5 ft
8 ft
Answers
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Answers
Three coins are flipped. What is the probability that all three coins will match?
Answers
Answer:
25%
Step-by-step explanation:
We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.
If f(x) = x2 + 4, find f(3)
Answers
Answer:
c. 13
Explanation:
f(x) = x² + 4
f(3) = (3)² + 4
= 9 + 4
= 13
