Answer:
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 1600
95% confidence interval of the margin error is determined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
Given Margin of error = 2% = 0.02
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
[tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]
0.02 X √1600 = 1.96 X S.D
[tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Using the z-distribution, it is found that you would have to poll 2401 students.
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]\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]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.
The sample size is n for which M = 0.02, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]
[tex]n = 2401[/tex]
You would have to poll 2401 students.
To learn more about the z-distribution, you can take a look at https://brainly.com/question/12517818
Can someone help me.
Answer:
Its green
Step-by-step explanation:
In here wehn they don't say or it means that the line is going to be attached
A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:
Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544
(n) (S)
2 104
6 324
10 544
Compare the statement below to compare the employees’ rate of change.
greater than, 55, 60, -5, -116, 220, less than, 104, equal to
Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.
Answer:
I been trying to look for that answer for so long but can we help each other at least
Answer:
Step-by-step explanation:
We have Kevin's sales equation is
[tex]S=60n-5[/tex]
Step 1
Find out Dylan's sales equation
Find the slope
We need two points
We take
[tex](2,104)[/tex] And [tex](6,324)[/tex]
[tex]m=(324-104)/(6-2)[/tex]
[tex]m=\frac{220}{4} \\m=55[/tex]
Find the equation in slope intercept form
[tex]s=mn+b[/tex]
We have
[tex]m=55[/tex]
point [tex](2,104)[/tex]
Substitute and solve for b
[tex]104=55(2)+b\\[/tex]
[tex]b=104-110\\b=-6\\[/tex]
So
[tex]S=55n-6\\[/tex]
Therefore
Kevin's rate of change is 60
Dylan's rate of change is 55
Compare
Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.
PLEASE MARK ME AS BRAINLIEST
A restaurant chef made 1 4/5 pints of mushroom soup. Each bowl holds 3/10 of a pint. How may bowls of soup will the chef be able to make?
Answer:
Step-by-step explanation:
Take:
1 bowl requires 3/10 pint
X bowls require 9/5
Upon cross multiplication you get:
(3/10)x=9/5
;15x/15 = 90/15
x = 6 bowls
16. If y varies directly as x, and x = 9 when y = 15, find y when x = 33?
Answer:
y=55 when x is 33
Step-by-step explanation:
Use the direct variation formula:
[tex]\frac{y}{x} =k[/tex] or [tex]\frac{y}{x} =\frac{y}{x}[/tex]
Insert the given values:
[tex]\frac{15}{9}=\frac{y}{33}[/tex]
To simplify the equation, cross multiply:
[tex]15(33)=9(y)\\\\495=9y[/tex]
Isolate the variable. Divide both sides by 9:
[tex]\frac{495}{9} =\frac{9y}{9} \\\\55=y[/tex]
Therefore, when x is 33, y is 55.
:Done
what’s the slope?
a line has the given equation y=-3x-10
Answer: slope= -6.0/2.0= -3.0
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -16.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -16.000 - (-10.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
x-intercept = -10/3 = -3.33333
y-intercept = -10/1 = -10.00000
math question ???? help
Answer:
a=54
Step-by-step explanation:
EASY
look triangles are 180 degrees
means all 3 sides add to 180
look at 2a and the missing angle they add up to 180
180-(a+10)-44
missing angle is
−a+126
exteriro plus interior angles add up to 180
-a+126+2a=180
solve and simplify
a=54
Cooper opened a savings account with $800 that pays no interest. He deposits an
additional $100 each week thereafter. How much money would Cooper have in the
account 26 weeks after opening the account?
Hi! Please answer this! I will give the first comment brainliest! Thank you so much, this is the last question on my test so please answer❤️
This is an arithmetic sequence question
Answer:
$3400
Step-by-step explanation:
800+(26x100)
Plz answer will mark brainliest
Answer:
3cm
It would be 3.35, but rounded it is 3cm
Step-by-step explanation:
268/80 = 3.35
Find the equation of the line whose slope of 1 over 3 and goes through the point (3, 1)
Answer: y=3x−12
Step-by-step explanation:
write one hundred eight million four hundred four thousand in standard form
Answer:
108,404,000
Step-by-step explanation:
Answer:184,400,000
Step-by-step explanation:
good
Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
solve the inequality -24<-4m
Answer:
m > 6
Step-by-step explanation:
[tex] - 4m > - 24[/tex]
[tex] = > \frac{ - 4m}{ - 4} > \frac{ - 24}{ - 4} [/tex]
[tex] = > m > 6[/tex]
Probability. A professor rides his bike to work some days and drives his car on the other days. On any day there is an 80% chance the professor will ride his bike and a 20% chance he will take his car. If the professor rides his bike, there is a 10% chance he will be late. If he takes his car, theres a 5% chance he will be late. 18. What is the probability the professor is late
Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09
Lisa bought 6 rainbow and balloon stickers for her little sister. The rainbow stickers cost 9 cents apiece and the balloon stickers cost 1 cent apiece. If Lisa spent exactly 46 cents, how many of each type of sticker did she buy?
Please help me fast!!
Find the slope of the line containing the points below.
(3,3) and (12,15)
Answer:
[tex]m=\frac{4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 3)
Point (12, 15)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{15-3}{12-3}[/tex]Subtract: [tex]m=\frac{12}{9}[/tex]Simplify: [tex]m=\frac{4}{3}[/tex]1. Which one of the following is polynomial function ?
(2x+1)x²
A. f(x) =
2x+1
-20 +4x²+8
C. f(x) =
2
2x +4x²+x
D. f(x) =
+ 2x
2x
B. f(x) = 4x2 +2V x2 + 3
Answer:
Answer is Option B f(x)=2V x2+3
Plsss Help me but QUICK ASAP
Answer:
Step-by-step explanation:
THe second one
what is the solution to 0.2 (4x-8)=0.4(12-2x)
(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.
Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).
A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.
(sorry if im wrong)
:(
If you know how to do this please help me then will give brainliest
Answer:
The required equation is:
[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]
Step-by-step explanation:
We have x = Distance of goal posts
y = field Goals made
The data given is:
x y
20 9
25 6
30 7
35 4
40 1
45 2
50 1
We need to find the regression equation y = bx + a
Where [tex]b=\frac{SP}{SS_x} \:and\: a=M_y-bM_x[/tex]
Sum of all values of x = 245
Sum of all values of y = 30
Now, calculating mean using formula: [tex]Mean=\frac{Sum\:of\:all|\:values}{Number\:of\:values}[/tex]
Mean of x (Mₓ) = 35
Mean of y ([tex]M_y[/tex]) = 4.28
Sum of squares (SSₓ) = 700
Sum of products (SP) = -190
Now, finding b:
[tex]b=\frac{SP}{SS_x} \\b=\frac{-190}{700}\\b=-0.271[/tex]
Now, finding a:
[tex]a=M_y-bM_x\\a=4.28-(-0.271*35)\\a=13.786[/tex]
So, the required equation is:
[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]
At fast food restaurant, 90% of the customers’ order hamburger. If 72% of the customer’s order hamburger and French fries, what is the probability that a customer who orders hamburger will also order French fries?
Answer:
0.8
Step-by-step explanation:
A = hamburger
B = french fries
P(B|A)
P(AB)/P(A)
= 0.72/0.9
= 0.8
A 15% tip on a $20.05 lunch bill is about ...
A. $0.15
B. $1.50
C. $3.00
D. $2.05
I will give brainliest to whomever gives the answer and an explanation!! Please help!
Find the midpoint of the segment with the following endpoints.
(2, -4) and (6. – 10)
Answer:
midpoint (4,-7)
Step-by-step explanation:
please see work attached where you utilize the midpoint formula.
please give thanks :)
Answer:
[tex](4,-7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (2, -4)
Endpoint (6, -10)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{2+6}{2},\frac{-4-10}{2})[/tex]Add/Subtract: [tex](\frac{8}{2},\frac{-14}{2})[/tex]Divide: [tex](4,-7)[/tex]whats the answer to the question fast!!!
Answer:
The first one and the last one
Step-by-step explanation:
Simplify
7(-3/4x-3)
-21/4x-21
-5 1/4x-21
You will get the same answer if you just simply the last one.
Please help me slove this problem
3x - 3 = 12
Answer:
x=5
Step-by-step explanation:
We kind of have to work backward.
First, we take 12+3 because when we move it over the equal sign, we make it the opposite.
12+3=15
Our new equation is now, 3x=15
We now take:
3x__=15
The blank represents x, which is 5.
Hope this helps!
-AxekickNebulite
What is the value of y
Answer:
y= 1/15.735. y is o.o64 character so one half is your answer
Answer: 27
Step-by-step explanation:
180-153= 27
y=27
10) A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test. a. Find the probability of scoring above 400. b. Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
Answer:
0.79 ; 0.753
Step-by-step explanation:
Given that:
Students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400 :
≥ 5 hours review = 0.85
Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400
< 5 hours = 0.65
70% (0.7) of business students spend atleast 5 hours review time
A.) probability of scoring above 400
(Proportion who spend atleast 5 hours review time * 0.85) + (Proportion who do not spend atleast 5 hours * 0.65)
Proportion who do not spend atleast 5 hours = (1 - proportion who spend atleast 5 hours) = 1 - 0.7 = 0.3
Hence,
P(scoring above 400) = (0.7 * 0.85) + (0.3 * 0.65) = 0.595 + 0.195
= 0.79
B.) probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
P(spent ≥5 hours review | score above 400) :
P(spent ≥5 hours review) / P(score > 400)
(0.7 * 0.85) / 0.79
0.595 / 0.79
= 0.753
Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7
List the sides in ^ EFG in order from smallest to largest.
================================================
Explanation:
We'll use these two rules
The smallest side is always opposite the smallest angleThe largest side is always opposite the largest angleThis only applies to triangles.
EF is the smallest side because the angle G is the smallest angle.
FG is the longest side because it is opposite the largest angle E
That places EG in the middle.
The order of the sides from smallest to largest is EF, EG, FG
-550/100 ÷ 14/7
Please and thank you
Answer:
-2.75
Step-by-step explanation: