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Tasya [4]
2 years ago
14

The manager of a symphony in a large city wants to investigate music preferences for adults and students in the city. Let pA rep

resent the population proportion of adults who live in the city who prefer pop music. Let pS represent the population proportion of students who live in the city who prefer pop music. Random samples of 200 adults from the city and 200 students from the city will be selected. Which of the following is the best interpretation of P(pˆA−pˆS>0)≈0.022 ?
Mathematics
1 answer:
monitta2 years ago
6 0

Answer:

Answer E

Step-by-step explanation

The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.

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Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students,
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Answer:

D. 54%

Step-by-step explanation:

For simplicity, lets assume we have 100 students in high school.

30% of students face disciplinary action, therefore;

⇒ (30/100) x 100 = 30 students.

of these 30 students, 40% go to college. therefore;

⇒ (40/100) x 30 = 12 students (go to college)

Also 70% of students do not face disciplinary action, therefore;

⇒ (70/100) x 100 = 70 students.

of these 70 students. 60% go to college. therefore;

⇒ (60/100) x 70 = 42 students (go to college)

Total number of students who go to college

⇒ 12 + 42 =  54 students

% of students who go to college

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7 0
2 years ago
In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units a
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This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°

Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
3 0
2 years ago
Let the random variable x have a discrete uniform distribution on the integers 8 ≤ x ≤ 10. determine the mean, μ, and variance,
arsen [322]
The discrete uniform distribution is on the interval 8 ≤ x ≤ 10.
Therefore the probability density function (shown in the figure) is
P(x) = 1/3 = 1/3 for x = 8, 9, 10
       = 0 otherwse

The mean is μ = 1/3.

The variance is 
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Because x - μ = 0 for x = 8,9,10, therefore
σ² = 0

Answer:
μ = 1/3
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2 years ago
Barry’s 6-digit passcode for internet banking consists of six different digits. If a multiplication sign is placed between the s
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Step-by-step explanation:

hope i helped u a little bit i know i didn't have a answer.

4 0
2 years ago
Kara starts tying a baby quilt at the local community center. Each quilt takes 200 ties to complete. Ten minutes later Julie joi
Tju [1.3M]

Answer:

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) t≅8.24min

e) K=109tie

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f) K≅16.6min

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Step-by-step explanation:

Data

Kara_{(K)}=6\frac{tie}{min}\\Julie(J)=11\frac{tie}{min}

Kara begins ten minutes before julie, so when julie joins kara she has 60 ties

t=10 k=6\frac{tie}{min}*10min=60tie

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?. t=\frac{(200-60)tie*min}{17tie}≅8.24min

e) K=60tie+6tie/min*8.24min=109tie

   J=11tie/min*8.24min=91tie

f) K=100tie*min/6tie≅16.6min

  J=100tie*min/11tie≅9.09min

Note: the amount of ties were rounded to the nearest decimal

6 0
2 years ago
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