Answer:
The minimum sample size we should anticipate using is 601.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We have no history with this characteristic, so we have no idea as to what the proportion might be.
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the minimum sample size we should anticipate using?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601
The minimum sample size we should anticipate using is 601.
18 is ______percent of 40
Answer:
18 is 45% of 40
Step-by-step explanation:
6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.
Answer:
He pays $18 for the long distance calls because 0.06 x 300 is 18
and if you want to find how much that month do 18+20 which is 38
$38 that month
A parallelogram has a base of 12 inches in a height of 7 inches what is the area
Answer:
84 inch
Step-by-step explanation:
A=base*height
A=12*7
A=84 inch
Stephanie accidentally hit a golf ball through her neighbor's square window with a side length of x she needs to buy a new piece of glass to replace the one she broke write a variable expression for the area of the glass piece Stephanie needs to replace remember x is your variable
Answer:the window is square so it's 20*x and then for the next parts it's 400 divided by 100 to get.how.much she can spend which is 4
Step-by-step explanation:
Answer:
x^2 = a
Step-by-step explanation:
Since the window is a square, that means all sides equal to the same thing. If you don't understand; if we look at all the sides you'll see that they all are the same in size. Let's say the number for x is 10. You'd multiply 10 by 10 and get 100 square inches.
x^2 (or x * x) will equal to the area of the square window.
a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the individual sampled faculty in the past year had a mean of 1.1 and an SD of 1.8. Does the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;
[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]
[tex]\overline x[/tex] = 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;
[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]
P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
There are 4 new books and 9 used books on a shelf.
(a) What is the ratio of new books to all books on the shelf?
(b) What is the ratio of used books to all books on the shelf?
Answer:
a) 4:13
b) 9:13
Step-by-step explanation:
The cost of 7 pounds of berries is $16.38, what is the cost per pound of
Berries?
Answer:
2.34
Hope that helps!
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
PLZ HELP I WILL MARK BRIANLIST Complete the table for 11, 15, and 19 days. Input your
answers. Then click done.
Number of Days
Total Number of
Trophies Won
80
slope
3
100 trophies
4 days
25 trophies
1 day
7
180
11
15
19
DONE
Answer:
275, 375, 475
Step-by-step explanation:
First, find the slope using the two pairs of values given.
Number of days = x
Total number of trophies = y
Using (3, 80) and (7, 180),
Slope = ∆y/∆x = (180 - 80)/(7 - 3) = 100/4 = 25
Slope/unit rate = 25 trophies per day
Multiply 25 by each given number of days to get each corresponding total number of trophies won.
Thus:
✔️Number of days = 11
Total number of trophies won = 11*25 = 275
✔️Number of days = 15
Total number of trophies won = 15*25 = 375
✔️Number of days = 19
Total number of trophies won = 19*25 = 475
Answer:
280
380
480
Step-by-step explanation:
If he gets 100 trophies every 4 days then you just add 100 to each column because in each one the days are increasing by 4
Your welcome ;)
What type of transformation
has this figure Madeo
Answer:
Rotation it almost has Rotate in the word, Reflection is a mirror of itself, Translation is when the Object stays the same, But is moved
Step-by-step explanation:
The area of a rectangle is 54 square feet. The height is three more than twice the width. Find
the width of the rectangle.
Answer:
4.5 ft
Step-by-step explanation:
Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Classify each triangle by its angles and its sides.
PLSSS ANSWER!
Answer:
9 . right triangle
Step-by-step explanation:
9. has right angle
I need help with this pls its a grade
Answer:
1.63
2.300
3.96
4.180
5.186.2
6.194.4
Step-by-step explanation:
Branliest to correct answer please explain how you solved it
You have a 3/6 chance of getting even number (there are 3 even numbers in the 6 die)
You have a 1/16 chance of getting a 16 on the other die
multiply them 1/3 × 1/16 then convert it to decimal form is your answer
Find the area of the shape
A circular table has an area of 75.5, what is the radius and diameter?
Answer:
r = 4.90228481 in
d = 9.80456963 in
I’ll give brainalist and points for answer / explanation
A seller has a house that is 1800 square feet. The neighborhood comps show
the line of best fit to be y = 0.074x +50 48. What is a fair price for this house?
A. $150,000
B. $183.68
C. $150.00
D. $184,000
SUBMIT
A fair price for this house is $183.68. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, a seller has a house that is 1800 square feet.
The neighborhood comps show the line of best fit to be y = 0.074x+50.48.
Substitute x=1800 in the given equation, we get
y=0.074×1800+50.48
y=$183.68
Therefore, option B is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ1
Determine whether the following graph can represent a normal curve.
Could the graph represent a normal curve? Select all that apply.
Answer:
C
Step-by-step explanation:
A normal curve describes a unimodal curve... this has 2 peaks (bimodal)
**this looks like stats?**
The graph does not represent a normal curve since:
No, because the graph has multiple peaks.No, because the graph approaches the X-axis as X increases and decreases without bound.Graphically speaking, the probability density function of a normal distribution has the following characteristics:
It has a single "peak" at a value of [tex]x[/tex] associated to the mean.The function is distributed symmetrically.The y-value of the function tends to be zero when [tex]x \to \pm \infty[/tex].The curve presented in the image only observes the condition described in 2. Therefore, we conclude that correct choices are:
No, because the graph has multiple peaks.No, because the graph approaches the X-axis as X increases and decreases without bound.We kindly invite to check this question on normal curves: https://brainly.com/question/15992479
Ms. Cathy bought a package of pens. Out of every 10 , pens, 7 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black? What fraction of the Owens in the pack is black?
Answer:
Step-by-step explanation:
7/10 are black therefore 14/20 are black
The show has a large display board where visitors are encouraged to pin up their pictures during an even, it measures:
3.6 m
1.8 m
How many 6 cm by 6 cm pictures could fit on the wall?
Answer:
3.6m
Step-by-step explanation:
On Joe’s business trip, he spent $258.14 during the 5 day trip on meals. How much did he spend per day on meals, round to the nearest penny?
Answer:
$51.63
Step-by-step explanation:
Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.
258.14 / 5 ≈ 51.63
A petri dish is a small, shallow dish of thin glass or plastic, used especially for cultures in bacteriology. A 2-inch-radius petri dish, containing nutrients upon which bacteria can multiply, is smeared with a uniform suspension of bacteria. Subsequently, spots indicating colonies of bacteria appear. The distance of the center of the first spot to appear from the center of the petri dish is a variable with density curve y= x/2 for 0 < x <2 and y=0 otherwise.
a. Graph the density curve of this variable.
b. Show that the area under this density curve to the left of any number x between 0 and 2 equals x2/4.
c. What percentage of the time is the distance of the center of the first spot to appear from the center of the petri dish
1. at most 1 inch?
2. between 0.25 inch and 1.5 inches?
3. more than 0.75 inch?
Answer:
a) attached below
b) Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
C) i)25% ii) 54.69% iii) 85.94%
Step-by-step explanation:
Given density curve y = x/2 for 0 < x < 2 and y = 0
a) Graph the density curve of this variable
attached below
b) show that the area under the density curve to the left of any number x between 0 and 2 equals x^2/4
base of triangle = x
height = x/2
Hence to show the area under the density curve is equal to x^2/4 we will calculate the area to the left
Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
c) Determine the percentage of the time of the distance of the center of the first spot to appear from the center of the petri dish
i) At most 1 inch
(area to the left of 1 ) = 1^2 / 4
= 1/4 = 0.25 ≈ 25%
ii) between 0.25 inch and 1.5 inches?
( area between 0.25 and 1.5 ) = ( area to the left of 1.5 ) - ( Area to the left of 0.25 )
= (1.5^2 / 4 )- ( 0.25^2 / 4 )
= 0.5469 = 54.69%
iii) more than 0.75 inch
( Area to the right of 0.75 ) = 1 - (0.75^ / 4)
= 0.8594 = 85.94 %
100 points and BRAINLESS pless help
Answer: 50 square units
Step-by-step explanation:
If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210
WILL GIVE BRAINLIEST
Answer:
b good luck srro if u am rong
Answer:
the best way to write is as it is in the beginning, so 1.2×10^-6, that is the alternative A.
Just chillin' at the max 32-bit limit with two answers...
Answer:
I don't understand what the question issssss
Eloise spent $1.65 on potato salad that costs $0.25 per pound.
How many pounds of potato salad did she buy?
Answer:
she would be able to buy 6.6
Answer:
its 6.6
Step-by-step explanation:
cause i did that already
Please let me know asap
Answer:
100
Step-by-step explanation:
Hello There!
∠4 and ∠8 are corresponding angles
corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100
how to rewrite equation 5x+7y-35=0 in slope intercept form?