Answer:
4 = 1x
Step-by-step explanation:
(3x)9 = (4x)5
9 = (1x) 5
4 = 1x
2. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled?
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
6 less than the cube of a number.
Answer:
x^3-6
Step-by-step explanation:
cube the variable and subtract 6
help please asap
jahahhahahahahaha
Answer:
No
Step-by-step explanation: Try the vertical line test. If the line goes directly through the angle or shape, it's not a function. Let me know if you want an example.
I've attached an image. This rule applies to every angle.
Evaluate
5
9
÷
5
18
[tex]Evaluate59÷518[/tex]
if f(x)=6x-9, find f(4)
Answer:
15
Step-by-step explanation:
f(x)=6x-9
so nw x value give 4,
substitute x value with 4
f(4)=6(4)-9
=19
A function assigns the values. The value of the f(4) will be equal to 15.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given function f(x)=6x-9, therefore, the value of f(4) can be written as,
f(x) = 6x - 9
f(4) = 6(4) - 9
f(4) = 24 - 9 = 15
Hence, the value of the f(4) will be equal to 15.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
Is line e perpendicular to line g?
Answer:
Yes.
Step-by-step explanation:
Always.
factor this expression fully
[tex] {x}^{2}(x - 1) - 9x(x - 1) + 8(x - 1)[/tex]
Answer:
1,0
Step-by-step explanation:
No need to expand look at the roots of the brackets.
(x-1)=0
x=1
x^2 and -9x have roots 0
Think of it as whatever sets the expression to 0.
Is this equation correct? 6^3 • 7^3 = 42^3
Answer:
Yes.
Step-by-step explanation:
[tex]6^{3}[/tex] × [tex]7^{3}[/tex] = [tex]42^{3}[/tex]
74,088 = 74,088
Which expression represents the total volume of the two storage spaces
Answer:
S^3+12
Step-by-step explanation:
The big block shows three s then you have to simplify that with 12ft^3
The expression that represents the total volume of the two storage spaces is s³+ 12
What is the total volume?The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.
Volume = width x height x length.
Volume of the larger storage space = s x s x s = s³
The total volume of the two storage spaces = s³+ 12
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
show your work and please hurry
−16 + x = −15
Answer:
x-1
Step-by-step explanation:
-16+1 16-15=1
To get -15 move 1 in the positive direction or backwards
or if this helps ignor the - and just subtract 16 from 15
Answer:
x = 1
Step-by-step explanation:
Add 16 to each side, so it now looks like this: x = 1I hope this helps!
help please this is timed
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
Which is larger: 25% of 38 OR 30% of 41
whats the answer? to this
Answer:
x=2 y=5
Step-by-step explanation:
The fraction 4/10 can be written as what
Answer:
In decimal form 0.4 or 4/10 or 2/5 (simplified). Also, in percentage form 40%.
Step-by-step explanation:
write the recuring deciml 0.15 as a fractions simplest form
I need help with 1-19!! Please help me!!!
Answer:
I need help with1-9!! please help me!!
In order to understand more about the home internet access of a university with 12768 students, three staff members set out to sample a number of students. Below are their plans for sampling the students. Plan 1: One staff member thought that internet access could be different based on the size of the town/city where the student lives, so she obtained a list of all students at the university, divided them into three groups, students living in small-, medium-, and large-sized towns. 10% of students lived in small towns, 40% lived in medium-sized towns, and 50% lived in large-sized towns, so she randomly selected 20 of the students from small towns, 80 from medium-sized towns, and 100 from large-sized towns. Plan 2: The other staff member decided that it would be most efficient to contact students through the online course management system. He randomly sampled 20 courses from the course catalog, and contacted all students in each of these 20 courses through the online course management system. (You may disregard the negligible probability that some student was enrolled in more than one of these 20 courses.) Plan 3: The last staff member had access to a list of students that lived in the dorms, and used a computer program to randomly select 250 students from this list. The staff members took care not attempt to influence student responses in any way. Which of these three plans will result in representative samples of the population of students, on aver
Answer: I-
ok
Step-by-step explanation:
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charlidamelio
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets p and the number of bits s.
s =
Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.
Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
[tex] = \frac{346}{15} [/tex]
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
[tex] =\frac{692}{15} [/tex]
[tex] = 42 \: pieces \: of \: wood[/tex]
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?
Answer:
hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
b) Write the number 52100 as a power of 10.
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
[tex]52100 = 521 \times {10}^{2} = \\ [/tex]
[tex]5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ [/tex]
[tex]10 \times {10}^{4} = {10}^{5} [/tex]
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
reduce your answer.
How do u do this question?
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
Find the annual percentage yield (APY) in the following situation,
A bank offers an APR of 3.88% compounded monthly.
The annual percentage yield is %.
(Do not round until the final answer. Then round to two decimal places as needed.)
What’s the answer?
Answer:
3.95%
Step-by-step explanation:
An interest-bearing account paying a stated nominal or annual interest rate of 3.880% compounded monthly, would translate to an Annual Percentage Yield (APY) or Effective Annual Rate (EAR) of 3.95%. This means that $100.00 will grow to $103.95 ($103.95 rounded) after one year.
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.
Answer:
2 by 4 inches
Step-by-step explanation:
If you divide 2 1/2 by 5/4 and 5 by 5/4, you get 2 by 4 inches.
(Edit: I fixed it)
Answer:
The scale factor is a reduction, and the new card should be 4 in x 2 in.
Step-by-step explanation:
2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
Answer:
The simplified ratio is 19:9.
Step-by-step explanation:
Answer:
19:9
Step-by-step explanation:
First, make it a fraction. 95/45. Then simplify by 5.
Pleaseeeeeeee helppp!!!!!! ASAP!!!
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ∠1≅∠4 :Given
2) The two lines are parallel :Alternate Exterior Angles Converse
3) ∠3≅∠2 :Alternate Interior Angles Are Congruent
Answer:
given: 1=4 prove: 3=2
statement reasons
1=4 given
1=2 vertical angles
3=4 congruent angles
therefore: 3=2
Step-by-step explanation:
44% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.