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jek_recluse [69]
2 years 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]2 years 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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The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t
mina [271]
10.5x = 7.5x + 30
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10

10.5(10) = 105
7.5(10) + 30 = 75 + 30 = 105

they need to purchase 10 t-shirts from each company for a total of $105 for each company
5 0
2 years ago
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A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .
BigorU [14]

Answer:

a) The probability that he doesnt but any items is 0.49

b) He buys exactly 1 of those items with probability 0.28

Step-by-step explanation:

lets call su the event that the customer purchases a suit, sh the event that teh customer purchases a shirt and t the event that the customer purchases a tie.

Remembe that for events A, B and C we have that

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

Also, we are given that

P(su) = 0.22

P(sh) = 0.3

p(t) = 0.28

p(su ∩ sh) =  0.11

P(su ∩ t) = 0.14

P(sh ∩ t) = 0.1

P(sh ∩ t ∩ su) = 0.06

The event that he doesnt buy any item has as complementary event su ∪ sh ∪ t, therefore

P( he doesnt but any items) = 1-P(su U sh U t) =

1-( P(su) + p(sh) + p(t) - P(su ∩ sh) - p(su∩t) - p(sh∩t) + p(su∩sh∩t) ) =

1-(0.22+0.30+0.28-0.11-0.14-0.1+0.06) = 1-0.51 = 0.49

b) The probability that he buys at least 2 items is equal to

p(su ∩ t) + p(su ∩ sh) + p(sh ∩ t) -2 p(su ∩ t ∩ sh) (because we are counting the triple intersection 3 times, so we need to remove it twice)

This number is

0.14+0.11+0.1-2*0.06 = 0.23

Thus, the probability that he buys exactly one item can be computed by substracting from one the probability of the complementary event : she buys 2 or more or non items

P(he buys exactly one item) = 1- ( p(he buys none items) + p(he buys at least 2) ) = 1- 0.49-0.23 = 0.28

7 0
2 years ago
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Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
Neporo4naja [7]
For this case we have a function of the form:
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 Where,
 A: initial amount
 b: growth rate (for b> 1)
 x: independent variable
 y: dependent variable
 We then have the following function:
 f (x) = 3 (2.5) ^ x

 Using the definition, the following statements are correct:
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8 0
2 years ago
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Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D
rosijanka [135]

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

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5 0
2 years ago
Mia is rolling a pair of 6-sided dice.
tekilochka [14]

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

7 0
2 years ago
Read 2 more answers
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