Answer:
The number of students to be sampled is [tex]n = 1789 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
Generally the proportion of students that receive financial aid is mathematically represented as
[tex]\^ p = \frac{118 }{200}[/tex]
=> [tex]\^ p = 0.59[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]
=> [tex]n = 1789 [/tex]
Using the margin of error, it is found that 1033 students would need to be sampled.
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 of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:
[tex]\pi = \frac{118}{200} = 0.59[/tex]
99% confidence level
So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The sample size needed is n when M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]
[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]
[tex]n = 1032.5[/tex]
Rounding up, it is found that 1033 students would need to be sampled.
A similar problem is given at https://brainly.com/question/25420216
please help asap.. 15 points!
Answer:
the answer is b
Step-by-step explanation:
The fee to rent a hall for a wedding is $1450 plus $50 per hour. For how many hours can it be rented forband stay within a budget of $2100?
3. After 6 weeks, who earned more money? How much more money?
Step-by-step explanation:
David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?
he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680
1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?
so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168 then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks
Rob made 7 brownies. He put nuts on 1 brownie.
What fraction of the brownies had nuts?
Answer:
he put it on one brownie so 1/7
Jay bought a laptopcomputer on sale
for 15% off the original price. If he paid
$170, what was the price of the laptop
computer before the sale?
Answer:
$200
Step-by-step explanation:
%15 = 0.15
0.15 • 200 = 30
200 - 30 = 170
y and z are whole numbers.
y< 70
Z<_60
Work out the largest possible value of y + z
Answer:
1
Step-by-step explanation:
what is the correct word form for 9.602
Answer:
Nine and six hundred two thousandths
Step-by-step explanation:
Hope this helped.
Answer: nine and sixty-two thousandths nine and six hundred two hundredths nine and sixty-two hundredths nine and six hundred two thousandths.
Step-by-step explanation:
Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=
Answer:
a
[tex]E[(3X+1)^2]= 8.5 [/tex]
b
[tex]P(1 < X < 2)=0.1170 [/tex]
Step-by-step explanation:
From the question we are told that
The parameter of X is [tex]\lambda = 2[/tex]
Generally the expected value of X is
[tex]E(X) = \frac{1}{\lambda }[/tex]
[tex]E(X) = \frac{1}{2}[/tex]
=> [tex]E(X) = 0.50 [/tex]
Generally we have that
[tex]E(X^2) = E(X)^2 + E(X)^2[/tex]
=> [tex]E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]
=> [tex]E(X^2) = 0.5 [/tex]
Generally
[tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]
=> [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]
=> [tex]E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 [/tex]
=> [tex]E[(3X+1)^2]= 8.5 [/tex]
Generally
[tex]P(1 < X < 2)= P(X < 2) - P(X < 1)[/tex]
Here [tex]P(X < 2 ) = e^{- 2 * \lambda }[/tex]
=> [tex]P(X < 2 ) = e^{- 2 * 2 }[/tex]
=> [tex]P(X < 2 ) = e^{- 4}[/tex]
and
[tex]P(X < 1 ) = e^{- 1 * \lambda }[/tex]
[tex]P(X < 1 ) = e^{- 1 * 2 }[/tex]
[tex]P(X < 1 ) = e^{-2 }[/tex]
So
[tex]P(1 < X < 2)= e^{-2 } - e^{- 4} [/tex]
[tex]P(1 < X < 2)=0.1170 [/tex]
These algebraic expressions are not equivalent. Explain
why they are not equivalent.
+ 8x – x2 - 6x
2x² – 2x
x2-1 + 8x
Answer:
If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and –1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and –6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.
Step-by-step explanation:
Please help asappp. Best answer gets brainly
Answer:
The last two are the right ones
Step-by-step explanation:
Please help me with this ! Find x
what is 276,485 rounded to the nearest hundred thousand?plzzzzzz answer
Answer:
300,000
Step-by-step explanation:
Evaluate h(x) = -2x +9
when x= -2,0, and 5.
h( - 2) =
h(0) =
h(5)=
Answer:
[tex] f(-2) = 13 [/tex]
[tex] f(0) = 9 [/tex]
[tex] f(5) = -1 [/tex]
Step-by-step explanation:
Given:
[tex] f(x) = -2x + 9 [/tex]
Required:
Find,
h(-2); h(0), and h(5)
SOLUTION:
Plug in the value of x into [tex] f(x) = -2x + 9 [/tex] in each case as follows:
[tex] f(-2) = -2(-2) + 9 [/tex]
[tex] f(-2) = 4 + 9 [/tex]
[tex] f(-2) = 13 [/tex]
[tex] f(0) = -2(0) + 9 [/tex]
[tex] f(0) = 0 + 9 [/tex]
[tex] f(0) = 9 [/tex]
[tex] f(5) = -2(5) + 9 [/tex]
[tex] f(5) = -10 + 9 [/tex]
[tex] f(5) = -1 [/tex]
The value of h(x) when x= -2,0, and 5 is; 13, 9 and -1 respectively.
The function, h(x) given is; h(x) = -2x +9 .
As such, evaluation of h(x) when x = 2,0, and 5 is as follows;
For x = -2
h(-2) = -2(-2) +9 h(-2) = 4 +9h(-2) = 13For x = 0
h(0) = -2(0) +9 h(0) = 0 + 9h(0) = 9For x = 5
h(5) = -2(5) +9 h(5) = -10 +9h(5) = -1Read more;
https://brainly.com/question/21956070
Simplify –(x + 5) + 3x
Can you please help me?
Answer: 325
Step-by-step explanation:
All your doing is multiplying
Answer:
The answer is 325
Step-by-step explanation:
the problem directly tells me that c(x)= 50x is how many words i can type in x minutes. then proceeds to ask me how many words i can type in 6.5 minutes.
in this case, x=6.5.
substitute and solve!
c(6.5)= 50(6.5)
c(6.5)= 325
according to this function, i can type 325 words in 6.5 minutes.
hope this helps!!
Which equation represents a line that is parallel to the
line shown on the graph?
Piz and ty
Answer:
[tex]y=\frac{1}{4}(x)+2[/tex]
you can write this as
[tex]f(x)=\frac{1}{4}x+2[/tex]
Step-by-step explanation:
2 points
(-4,1)(0,2)
[tex]y=\frac{1}{4}x+2[/tex] is the equaction of the line thats in the grapj
Why and How I got it?
you had 2 points, so you can using the slope equaction
Rise over run
why is slope important?
using the y incept equactions
y=mx+b, where slope is m
so you get slope you got m
Solve
rise over run
[tex]\frac{2-1}{0-(-4)}[/tex]
so you get
[tex]y=\frac{1}{4}x+b[/tex]
How do you get B?
you plug 1 points in
[tex]-4=\frac{1}{4}(1)+b[/tex]
Hoped this helped ya
<3
Red 2 – 3m < 4 + 5m
A.
m<−14
B.
m>14
C.
m>−14
Answer:
this answer will be in your book
Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.
Simplify 3y – 5(y + 2)
Step-by-step explanation:
Hey there!
Given; 3y - 5(y+2).
Multiply 5 and (y+2)
3y - 5y - 10
Simplify to get answer.
-2y -10
Take 2 and (-) common.
-2(y+5)
Therefore, the simplified form is -2(y+5).
Hope it helps...
Answer:
Step-by-step explanation:
3y - 5 ( y + 2)
= 3y - 5y - 2
= -2y -2
translate the problem into a mathematical sentence using e as your variable name.
roy bought 16 CDs in December. of those, 7 were world music the rest were electronic music. how many electronic music discs did he buy?
Answer:
9Step-by-step explanation:
Total CD's = 16World music = 7Electronic music = eThe expression and solution:
7 + e = 16e = 16 - 7e = 9Roy bought 9 electronic music discs
what
is bigger 2/5 or 0.25
Answer:
2/5 is bigger
Step-by-step explanation:
2/5 is 0.40
Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.
Answer:
f[1] = 9; f[n] = f[n-1] -3-3Step-by-step explanation:
The first term is 9, so f[1] = 9.
Each term is 3 less than the one before, so f[n] = f[n-1] -3.
Three less than the last term shown is ...
0 -3 = -3
__
The recursive formula is ...
f[1] = 9f[n] = f[n-1] -3The next term is -3.
-8x + 40 greater than -16
Answer:
x > 7
Step-by-step explanation:
First, you start off with :
-8x + 40 > -16
Then you subtract 40 on both sides.
You get -8x > -56.
Next, you divide -8 on both sides. Cancel out the -8/-8.
After dividing, you have x > 7
Therefore the answer is x > 7!
If you have a question comment it.
Answer:x<7
Step-by-step explanation:
Calculate it on Google
Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.
Answer:
THERE
Step-by-step explanation:
Answer:
Step-by-step explanation:
let's name the bag of apples "[tex]x[/tex]"
they have 7 bags of apples: 7[tex]x[/tex]
then they need to divide it among 8 people: so each person gets [tex]\frac{7x}{5}[/tex] or [tex]\frac{3}{5} x[/tex]
What are the steps to substract a negative fraction from a positive decimals
Answer:
Turn the negative fraction into a decimal
Step-by-step explanation:
example:
-1/2=-0.5
Answer:
Subtract the absolute value of the decimal.
Add the negative number to the positive number.
Add the opposite of the negative number to the positive number.
Step-by-step explanation:
hope this helped </3
Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6
Answer:
9 < x < 0
Step-by-step explanation:
from 0 to 9 i think
will mark brainliest, a THX, friend request, and will rate ur answer
Answer:
35/4
Step-by-step explanation:
8 × 4 = 3232 + 3 = 35Write 35 over the original denominator: 35/4I hope this helps!
Complete the proof
Pleassseeee
Answer:
it's ASA because you have 2 angles congruent and a side congruent.
D
Question 2
1 pts
Two people are pushing a car. One person is pushing with a force of 450 N and the
other person is pushing with a force of 300 N. What information is needed to
determine the net force applied to the car by the people?
the direction of the road
the direction of the forces
the weight of the two people
the weight of the automobile
Answer:
the direction of the road
Step-by-step explanation:
To calculate the net force, we need to know the direction through which the forces are acting.
Are the forces directed towards one another or against each other?
Net force is a vector sum of forces that acts on a body. It is that single force that can replace two or more forces acting on a body.
If the forces are against each other, we subtract them. If they act on a body together, we add them.So, without knowing the direction, we cannot calculate the net force.
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the same for both classes?
Answer:
x=40
Step-by-step explanation:
