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riadik2000 [5.3K]
3 years ago
7

Subject: [Mathematics]​

Mathematics
1 answer:
Serga [27]3 years ago
4 0
The answer to your question is the last one.
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Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o
lozanna [386]

Answer:

\dfrac{2}{3}

Step-by-step explanation:

Given that:

The number of observations is:

6, 10, 12

If we are to use a simple  random sampling without replacement, then we will have:

(6,10)  (6,12)  (10,12)

Here;

the sample size n = 2

The population size N = 3

For (6,10) ; The sample mean = \dfrac{6+10}{2}

= \dfrac{16}{2}

= 8

For (6,12) ; The sample mean = \dfrac{6+12}{2}

= \dfrac{18}{2}

= 9

For (10, 12) ; The sample mean = \dfrac{10+12}{2}

= \dfrac{22}{2}

= 11

The probability distribution of sample mean(x) is:

X           8           9          11

P(X=x)    \dfrac{1}{3}          \dfrac{1}{3}           \dfrac{1}{3}

Thus, the probability that the sample mean  is larger than 8 is:

P(X> 8) = P(X = 9) + P(X + 11)

P(X> 8) = \dfrac{1}{3}+\dfrac{1}{3}

P(X > 8) = \dfrac{1+1}{3}

P(X> 8) = \dfrac{2}{3}

5 0
3 years ago
5 Practice
alekssr [168]

Answer:

Given - A rectangle of length 18 feet and wide 14 feet

To find - Area

Solution -

Area of rectangle = Length * Breadth

=

18 \times 14

252 square feet

3 0
2 years ago
Read 2 more answers
Harry took a loan from the bank.
Pie

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

D(t) =-200t+ 9000

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

D(t)=-200(0)+9000

So,D(t) =9000

Hence, the size of Harry's loan is $9000.

6 0
3 years ago
R is the midpoint of OP and QR is perpendicular to OP in the diagram below
dezoksy [38]

Answer:

24 in

Step-by-step explanation

Using pythagorean theorem, since OP is 20 inches and has a midpoint. RP= 10 and OR=10. The hypotenuse is given as 26 so do 26^2=10^2+a. 676= 100+a^2, subtract 100 from both sides. square root of 576 is 24

7 0
3 years ago
Can you please give me the answer
ladessa [460]

Answer:

Your answer should be B.  x + -1 +- √17

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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