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viktelen [127]
3 years ago
6

Please help !!!!!!!!

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

1200

Step-by-step explanation:

5000*6/25

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In expanded form :
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Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st
emmasim [6.3K]

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

7 0
3 years ago
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svp [43]

Answer:

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Step-by-step explanation:

Let us call A the american population, B the British population before the migration, and x the population that migrated from America to Britannia.

Now, the population x that migrated was 20% of the american population:

(1).\: \: x = 0.2A,

and the same population x increase the British population by 4%:

x+B = 1.04B \\\\ (2). \:\:x = 0.04B.

Combining equation (1) and (2) we get:

0.2A = 0.04B

A = \dfrac{0.04B}{0.2}

\boxed{A = 0.2B}

Thus, the American population was 20% of the British population.

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3 years ago
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Answer:

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Given that she drove equal number of miles in 5 days. So in order to find the number of miles in each days, you have to divide it by 5,

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