A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A
random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of
the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,
what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 +1.96
0.24(1-0.24)
200
O 0.7601.964
0.76(1 -0.76)
200
O 0.24 +1.657
0.24(1-0.24)
50
O 0.76 +1.95
0.76(1-0.76)
50
Answers
Answer: C
Step-by-step explanation:
Given:
Sample size (n) = 50
x = 12
[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]
Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05
[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]
(from standard normal table)
90% Confidence interval is,
[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]
Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C
Related Questions
Best answer gets brainliest!
Answers
Answer: Best answer gets brainliest!
90+120= 210Step-by-step explanation:
Add the amount of students together!
Hopefully this helps you!
-Keira
First, let's check how many 7th grade students take the bus.
On the graph, find "7th grade"
There are 90 7th grade students taking the bus.
Same with the 8th grade:-
120 students
How many 7th & 8th grade students take the bus?
The sum of the 7th grade students & the 8th grade students is your answer.
So, add:-
[tex]\sf{90+120}[/tex]
[tex]\bigstar{\boxed{\pmb{210~students}}\longleftarrow\sf{Option~B~is~correct}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
A boy yells in a narrow valley. the sound reflects off of a boulder that is 80 m away. how long will it take to hear the echo if the speed of a sound wave is 320 m/s? (speed = ) 0.25 seconds 0.50 seconds 2.0 seconds 4.0 seconds
Answers
Answer:
0.50 seconds
Step-by-step explanation:
The time it takes for an echo to return is the time it takes for the sound to make the round trip between the source and the reflecting object.
The boulder is 80 m away from the source, so the round-trip distance is 2×80 m = 160 m. At a speed of 320 m/s, it takes sound ...
(160 m)/(320 m/s) = 0.50 s
to make the round-trip.
It will take 0.50 seconds to hear the echo.
The time it will take to hear the echo, when the speed of a sound wave is 320 m/s is 0.50 seconds.
What is the speed of sound?
Speed of sound is the rate by which the sound wave travels. The speed of sound depends on the medium by which the sound wave is travelling.
The speed of the wave can be found out using the following formula.
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the wave and (t) is time taken by the wave to cover that distance.
A boy yells in a narrow valley. The sound reflects off of a boulder that is 80 m away.
For the echo, distance travelled will be doubled as it come back.Thus, the distance travelled by sound wave is,
[tex]d=2\times80\\d=160\rm\; m[/tex]
The speed of sound is 320 m/s. Put these value in the above formula as,
[tex]320=\dfrac{160}{t}\\t=0.5\rm\; s[/tex]
Thus, the time it will take to hear the echo, when the speed of a sound wave is 320 m/s is 0.50 seconds.
Learn more about the speed of sound here;
https://brainly.com/question/95976
Distrubutive property
1. 54+27=9 (_+_)
Answers
Answer:
9(6+3) = 54+27
Step-by-step explanation:
dunno how to explain but hope the answer helps
Hey there!
54 + 27 = 81
9(6 + 3)
= 9(6) + 9(3)
= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
= 18 + 18 + 18 + 18 + 9
= 36 + 36 + 9
= 72 + 9
= 81
Thus, the equation answwr is: 81
Therefore, the overall answer is:
9(6 + 3)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
82% of £134.18
Give your answer rounded to 2 DP
Answers
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
et
Which is true regarding Armando's use of algebra tiles?
O He used the algebra tiles correctly.
He did not represent the two original factors correctly.
O The signs on some of the products are incorrect.
O Some of the products do not show the correct powers
of x.
Answers
Answer:
The Last One
Step-by-step explanation:
hope this helps :))
There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction
Answers
The probability of selecting two orange marbles with replacement is 36/169.
Data;
Orange= 6Red = 2Green = 4Probability with replacementSince after each draw, the orange marble is replaced.
The total number of marbles in the bag is
6+3+4 = 13
And the number of orange marbles is 6.
For the first selection, the probability of selecting one orange is
[tex]P = \frac{6}{13}[/tex]
After drawn and replaced, the probability of selecting another marble is
[tex]P = \frac{6}{13}[/tex]
And the probability of selecting two orange marbles with replacement is
[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]
The probability of selecting two orange marbles with replacement is 36/169.
Learn more on probability here;
https://brainly.com/question/24756209
please help me
Select the reason that best
supports Statement 4 in the
given proof.
A. Transitive Property
B. Multiplication Property of Equality
C. Substitution
D. Given
Answers
Answer: C
Step-by-step explanation:
They are substituting PQ=25 from steps 1 and 3.
Can you help me with this
Answers
In the case of multiplication in exponents, if the numbers are the same, their exponents are added.
7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.
Keeram ordered 15 1/2 kg of juniper berries for her store. But 2/7 of them arrived bruised and mushy how many kg of useable berries did she receive?
Answers
Answer:
11.07~
Step-by-step explanation:
2/7 of 15.5 is 4.42857142857 which we can round to 4.43. We can then just do 15.5-4.43 to get our answer of 11.07.
Mr. Jones and Mr. Griebel each bought new shoes, Mr. Jones used a 20% off coupon and paid $82. Mr. Griebel used a $20 off coupon. How much Mr Griebel pay for his shoes?
Please help meee
Answers
Answer:
Assuming they bought the same shoes, $82.5
Step-by-step explanation:
80% of Original Shoe price = $82
Divide by 0.8 to find the original price.
82 / 0.8 = 102.5
102.5-20=82.5
Can somebody please help me? :(
Answers
Answer:
143 square meters
Step-by-step explanation:
The surface has a width of 11 meters and a length of 13 meters.
13 x 11 = 143.
Is this correct?
Help please I need helps please
Answers
Answer:
I belive the answer is 96 ft.
Step-by-step explanation:
Hope that helps!
Select the true statement about trend lines.
O A. A trend line should be as close as possible to the points.
O B. A trend line connects the points.
O C. A trend line goes through the first and last points.
D. A trend line is always horizontal.
SUBMIT
Answers
The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
What is a Trend Line?A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.
A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.
Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
Learn more about trend lines on:
https://brainly.com/question/2589459
what numbers between the number 7-15 make 33
Answers
33/3
33/11
when you subtract or add any numbers together it wouldn’t be between 33
Check:
33/3=11
Kevin is 4 times as old as Daniel and Kevin is
also 6 years older than Daniel
Answers
Step-by-step explanation:
let kevein be x and daniel be y
x=4y (equation i)
x=6+y(equationii)
putting the value of x in equationii
4y=6+y
3x=6
x=2
I’m very confused I hate this
Answers
Answer:
12
Step-by-step explanation:
its as easy as this:
what is 4 times 3?
12
Answer: the answer is 12 .
Step-by-step explanation: multiply 4 shirts times 3 shorts will give you 12 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST
.THANKS .
Which expressions are equivalent to Tan(< g
Answers
Answer:
Can u post a picture so I can see what your talking about!?
The length of one leg of an isosceles right triangle is 3 ft. what is the perimeter of the triangle? 3 3 startroot 2 endroot ft 3 3 startroot 3 endroot ft 6 3 startroot 2 endroot ft 6 3 startroot 3 endroot ft
Answers
The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
What is an isosceles right angled triangle?
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.Using the Pythagoras theorem, we get:
[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]
Thus, perimeter of the triangle as:
[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
C : 6 + 3√2 ft
Step-by-step explanation:
it is right
trust me
does anyone know the answer to this question?
Answers
Answer:
c = 2.5 , d = - 3
Step-by-step explanation:
f(x) = cx + d
f(4) = 7 ( substitute x = 4 into the equation and equate to 7 )
f(10) = 22 ( substitute x = 10 into the equation and equate to 22 )
4c + d = 7 → (1)
10c + d = 22 → (2)
subtract (1) from (2) term by term to eliminate d
(10c - 4c) + (d - d) = 22 - 7 , that is
6c = 15 ( divide both sides by 6 )
c = 2.5
substitute c = 2.5 into (1) and solve for d
4(2.5) + d = 7
10 + d = 7 ( subtract 10 from both sides )
d = - 3
Answer:
c = 2.5
d = - 3
Step-by-step explanation:
f(x) = cx + d
f(4) = 7
f(10) = 22
4c + d = 7
10c + d = 22
(10c - 4c) + (d - d) = 22 - 7
6c = 15
--- ----
6 6
c = 2.5
4(2.5) + d = 7
10 + d = 7
-10 -10
d = - 3
Hey y’all! Can I please have some help??? :)
Answers
Answer:
Rhombi and Squares
Step-by-step explanation:
1) KY (pythagorean Thm) 5² + x² = 13² ...= 12
2) PK Diagonals bisected. also = 12
3) Diagonals of rhombi are perpendicular. <YKZ = 90
4) 67. Alternate interior angles are congruent.
5) 3. Diagonals are bisected and congruent for squares.
6) 45° . Angles are bisected by diagonals.
7) 90° . All angles of squares are right angles.
8) 6. Diagonals are bisected. So 3 is doubled to 6.
9) I need graph paper.. hol'up
What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)
Answers
Answer:
slope = 0.5
Step-by-step explanation:
[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]
Hope this helps
The slope of the graph through points (6,1) and (-6,-5) is 0.5.
What is the slope of the graph?The slope formula can be expressed as:
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Given the coordinates of the points through which the graph passes through:
Point 1 ( 6,1 )
x₁ = 6
y₁ = 1
Point 2( -6,-5 )
x₂ = -6
y₂ = -5
Plug the coordinates into the slope formula and simplify.
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ3
25 % of what number is 5.
SHOW YOUR WORK!!!!
Answers
Answer:
The answer is 1.25
Step-by-step explanation:
5% of 25 = ?
5/100 × 25
1/20 × 25 = 25/20 = 5/4 = 1.25
Thus, 5% of 25 is 1.25
What is the total amount paid for a $60 meal with a 15% tip and 8% tax?
Answers
Answer:
I believe it would be 73.8 or if they are rounding up 74.
Step-by-step explanation:
15% of 60 is *9* and 8% of 60 is *4.8*
9+4.8=13.8
13.8+60=73.8.
I need help, I will give brainliest
what is the value of x, round to the nearest 10th.
use sin, cos, and tan
Answers
10cm = Adjacent 8cm = opposite
Tan -1(8/10) = 38.7
Value of Y:
10cm = opposite 8cm = adjacent
Tan-1(10/8) = 51.3
Write -1.7 repeating as a fraction
Answers
Answer:
-1 7/10
Step-by-step explanation:
Hope that helps!!!
1 m cube is equal to how many centimetre cube?
Answers
Answer:
1,000,000 cm³
Step-by-step explanation:
A cube has 3 dimensions of equal measure: length, width and height
To determine the volume of a cube, we multiply the dimensions:
⇒ volume of a cube = length × width × height
1 metre = 100 centimetres
Therefore, for a cube with a length, width and height of 100 cm:
⇒ volume = 100 cm × 100 cm × 100 cm
= 1,000,000 cm³
Use the standard normal distribution to find P(-1.23 Sz<2.12).
Answers
Answer:
(d) 0.8736
Step-by-step explanation:
Unless you have a table of the normal distribution available, this is a calculator problem. Your calculator, or any spreadsheet, can tell you the probability is ...
P(-1.23 ≤ z ≤ 2.12) ≈ 0.8736
1x4-9-5/9+100-0+0x67x0 brianlest first answer
Answers
Here’s an explanation as a photo
svp c'est pour un dm de math
Answers
Answer:
d
Step-by-step explanation:
the answer is d because we learned about this everyday
Please answer all three if you do i will mark brainliest
Answers
Answer:
1 positive correlation
2 A
3 negative
Step-by-step explanation:
Hope this helps!:)