Answer:
a) A sample of 385 must be taken.
b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
c) A sample of 246 is needed.
Step-by-step explanation:
Question a:
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]
Absence of preliminary data:
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample 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].
How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?
A sample of n must be taken.
n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
Dividing both sides by 0.05
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up,
A sample of 385 must be taken.
Question b:
In a sample of 100 workers, 20 of them had changed jobs within the past year.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]
The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
Question c:
Same procedure as question a, just with [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]
[tex]n = 245.8[/tex]
Rounding up
A sample of 246 is needed.
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
Can someone help with number 1 please?
Which graph and equation shows a proportional relationship between r and y? y= 11.5% y = 1.5x - 1.5
Answer:
y = 1.5x - 1.5
Step-by-step explanation:
Model and Solve Equations with Geometry Concepts (7.11c) . ... Now substitute the values for x and y into the expression. 2(1. 3. )(1. 2. −3) ... 10.0+1.5 = 11.5.
HELP ASAP!!
The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.
Answer:
Ok? what's the question
Step-by-step explanation:
Answer:
i did my best to try and find something, do any of these help? lmk
Step-by-step explanation:
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
To learn more on Triangles click:
https://brainly.com/question/2773823
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Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O
Answer:
5 Percent
Step-by-step explanation:
Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.
daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
April can buy a package of 8 folders for $2.40. What is the unit price for this package?
Answer:
0.3
Step-by-step explanation:
to get the unit rate you must divided
2.40 by 8
2.40/8=0.3
Help!
This is the problem
1+10k+1-7k
Answer:
3002
Step-by-step explanation:
Very simple, just add them up.
Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:
A)
(4, –3)
B)
(–3, –2)
C)
(5, 0)
D)
(0, –5)
9514 1404 393
Answer:
D) (0, -5)
Step-by-step explanation:
A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.
__
If we consider only the case of x=0, then the solution space reduces to ...
-8 < y ≤ 4 . . . . . the constants of the two inequalities
Here, it is easy to see that y=-5 is in the solution space.
(0, -5) is a solution
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
The answer is (D) y < 4
Answer:
D. y < 4 im pretty sure sorry if its wrong..
Solve 4r2 – 5 = 59
{± 3}
{± 4}
{± 5}
{±6}
9514 1404 393
Answer:
(b) ±4
Step-by-step explanation:
4r^2 -5 = 59 . . . . given
4r^2 = 64 . . . . . . . add 5
r^2 = 16 . . . . . . . . . divide by 4
r = ±4 . . . . . . . . . . . take the square root
Rename 5/12 and 7/8 using the least common denominator
Answer:
10/24 and 21/24
Step-by-step explanation:
So the least number that both 12 and 8 will divide into is 24
so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24
Answer:
10/24 and 21/24
Step-by-step explanation:
answers for plato test
PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
120.2 or in other words, the answer is the last option, D
Write the slope-intercept form of the line given point and slope. ( show work if possible please)
through: (-2,-5), slope = 5
Answer:
y=5x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=5(x-(-2))
y+5=5(x+2)
y=5x+10-5
y=5x+5
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
It is D Because I'm soo Smart And the Question is easy
Larissa rolled two number cubes each with the numbers 1 through 6 larissa adds the numbers appeared on the roll which two sums have an equal chance of occurring
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
For an F distribution, find the following:
(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6
Answer:
1.39 ; 2.02 ; 2.90
Step-by-step explanation:
From the F - distribution calculator
F0.25, 8, 2 ;
u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75
F value = 1.39
F0.10,12,15 :
u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90
F value = 2.02
F0.01,12,6
u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90
F value = 2.90
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
What are the coordinates of point A
Answer:
The coordinates of point A are (-4, 3)
hope it helps
Answer:
The coordinates of point A is (-4,3)
Step-by-step explanation:
(x,y)
X= -4
Y= 3
Find the value of x.
A. 10
B. 17
C. 14
D. 7
Answer:
x = 7
Step-by-step explanation:
By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.
We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.
So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.
Have a nice day, fam.
Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4
Answer:
A, B, and D
Step-by-step explanation:
A variable could be represented as a letter.
Coefficient is the number multiplying a variable.
Product means multiplication.
Therefore the expressions that represent the product of a variable and a coefficient are:
11c, ½t, and j*4
If I have 2 apples and take away 1 apple, how many peanuts do I have left?
Answer:
Cannot be determined with the information given in and of itself.
Step-by-step explanation:
You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.
I would appreciate Brainliest, but no worries.
Answer:
0
Step-by-step explanation:
if you have 2 and you take one away you have 1,
you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.
Can somebody help me?
Answer:
1. C 2. E 3. A 4. F 5. D 6. B
Step-by-step explanation:
Answer:
a. is 3
b. is 6
c. is 1
d. is 5
e. is 2
f. is 4
Step-by-step explanation:
Please give brainliest I worked hard on this question for you.
When the circle is filled in it means greater than or equal to or less than or equal to depending on which way its going.
If its hallow it means greater than or less than, again depending on which way its going.
What is the answer for 1+4?
Answer:
man thats really hard i think youve gotta ask a professional for that
Step-by-step explanation:
Answer:
1+4=5
1-4=-3 (3)
1 x 4= 4
1/4 =4
Step-by-step explanation:
I need help again
♂️
Answer:
the 3rd one
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73
Answer:
I think its 2.73 not sure tho
Step-by-step explanation:
Answer:
I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)
Step-by-step explanation:
What is the quotient?
Answer:
4000000000000=4x10^12
Step-by-step explanation:
The first choice is the quotient.