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2 years ago

An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12}

Mathematics

1 answer:

Brrunno [24]2 years ago

8 0

Answer:

Options D & E are independent

Step-by-step explanation:

For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0

A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.

B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.

C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.

D) A ∩ B = 0. They are mutually exclusive and thus they are independent.

E) A ∩ B = 0. They are mutually exclusive and thus they are independent.

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Answer:

x=2

Step-by-step explanation:

2x+4=4x

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2 years ago

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At what point do the lines y = 6x – 18 and<br> y=8x – 32 intersect?

anzhelika [568]

Answer:

(7, 24)

Step-by-step explanation:

Solve the system:

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2 years ago

Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

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y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

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y - b = m(x - a)

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here m = 3 and (a, b) = (- 3, - 14), hence

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3 years ago

Round 48.47 to the ones place

WINSTONCH [101]

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

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2 years ago

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A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

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2 years ago