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jek_recluse [69]
1 year ago
11

Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each

of 75 randomly selected students in the school. What is the statistic?
(A) the specific number of siblings for each randomly selected student
(B) the 75 randomly selected students
(C) the mean number of siblings for the randomly selected students
(D) the mean number of siblings for all students in the school
(E) all the students in the school
Mathematics
1 answer:
Ede4ka [16]1 year ago
4 0

Answer:

(A) the specific number of siblings for each randomly selected student

Step-by-step explanation:

First Timothy wants to estimate the mean number of siblings for each student in his school

So he selected a random sample of 75 students, then recorded the number of siblings they have

He later find the mean.

You can see the mean was obtained from the selected group not all students in the school hence option D and E are not correct.

Option A clearly indicates a mean was obtained for the siblings that were from the randomly selected students.

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It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a
Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0
1 year ago
Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected stude
Nadya [2.5K]

Answer: B - The mean height of all the students of the college.

Explanation:

In statistics, the concept of parameter refers to the value that you want to know about a population to characterize it, for example, mean height, mean age, etc.

In this case, the value that you want to know about the population of the college is the mean height of its students, so the correct option is B.

The following concepts are used in statistics that can be applied to the given example:

- Population (all students of the university).

- Parameter (mean height of university students).

- Sample (the 25 randomly selected students).

- Elements (the heights of the selected students).

- Estimator (average height of randomly selected students).

7 0
1 year ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
Komok [63]
base 16y^2
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
6 0
1 year ago
Read 2 more answers
Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t
posledela

Answer:

A_1 = 24m^2 -- Swing set

A_2 = 16m^2 -- Slide

A_3 = 5m^2 --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

Area = Length * Width

For the Swing set

A_1 = 8m * 3m

A_1 = 24m^2

For the Slide

A_2 = 8m * 2m

A_2 = 16m^2

For the Pathway

A_3 = 5m * 1m

A_3 = 5m^2

The total area is:

Area=A_1 + A_2 + A_3

Area = 24m^2 + 16m^2 + 5m^2

Area = 45m^2

4 0
1 year ago
Find the perimeter of △CDE. Round your answer to the nearest hundredth. The perimeter is about units.
Troyanec [42]

Answer: 9.66\ units

Step-by-step explanation:

The triangle CDE is shown in the image attached.

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Then, we can calculate the lenght of each side of the triangle:

d_{CD}=\sqrt{(4-4)^2+(-5-(-1))^2}=4\ units\\\\d_{DE}=\sqrt{(4-2)^2+(-5-(-3))^2}=2.828\ units\\\\d_{CE}=\sqrt{(2-4)^2+(-3-(-1))^2}=2.828\ units

Therefore, the perimeter is:

P=4\ units+ 2.828\ units+2.828\ units=9.66\ units

8 0
1 year ago
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