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3 years ago

How do you do this please help

Mathematics

1 answer:

drek231 [11]3 years ago

5 0

List the given statements, and then list the conclusion to be proved. Now you have a beginning and an end to the proof.
Mark the figure according to what you can deduce about it from the information given. This is the step of the proof in which you actually find out how the proof is to be made, and whether or not you are able to prove what is asked. Congruent sides, angles, etc. should all be marked so that you can see for yourself what must be written in the proof to convince the reader that you are right in your conclusion.
Write the steps down carefully, without skipping even the simplest one. Some of the first steps are often the given statements (but not always), and the last step is the conclusion that you set out to prove. A sample proof looks like this:

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Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distri

koban [17]

Answer:

a) 4.16 years

b) 27.73 years

c) 238.44 years

d) 3,870.53 years

Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

$\bf \lambda =6$

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

$\bf P(X\leq t)=1-e^{-t/6}\Rightarrow P(X>t)=1-(1-e^{-t/6})=e^{-t/6}$

and we must find a t such that P(x>t)=0.5.

$\bf P(X>t)=0.5\Rightarrow e^{-t/6}=0.5\Rightarrow -t/6=ln(0.5)\Rightarrow t=-6ln(0.5)=4.16\;years$

$\bf \lambda =40$

$\bf P(X>t)=0.5\Rightarrow e^{-t/40}=0.5\Rightarrow -t/40=ln(0.5)\Rightarrow t=-40ln(0.5)=27.73\;years$

$\bf \lambda =344$

$\bf P(X>t)=0.5\Rightarrow e^{-t/344}=0.5\Rightarrow -t/344=ln(0.5)\Rightarrow t=-344ln(0.5)=238.44\;years$

$\bf \lambda =5584$

$\bf P(X>t)=0.5\Rightarrow e^{-t/5584}=0.5\Rightarrow -t/5584=ln(0.5)\Rightarrow t=-5584ln(0.5)=3870.53\;years$

5 0

4 years ago

Moxie wants to have $5000. how much money does she have to deposit in an account at 6% interest, compounded 3 times per year, in

BaLLatris [955]

Moxie wants to have $5000. how much money does she have to deposit in an account at 6% interest, compounded 3 times per year, in order to have $5000 at the end of 6 years? The formula for compound interest AMOUNT is

A = P (1 + r/n)^(nt),

where P is the principal and must be calculated here; A is the amount Moxie wants to have after 6 years, and is $5000; r is the annual interest rate, expressed as a decimal fraction: 0.06; n is the number of compounding periods per year, which here is 3; and t is the time, in years, here equal to 6.

Solve the following for P: $5000 = P (1 + 0.06/3)^(3*6)

Hint: $5000 = P (1.02)^18

4 0

4 years ago

Given m || n, find the value of x and y

Anika [276]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

7 0

3 years ago

Look at the pattern below.How should the tird shape be labeled

disa [49]

Answer:

You havent showed us the pattern

7 0

3 years ago

Help me pls i will give brainlyest

erica [24]

Answer:

D. 36, 12

Step-by-step explanation:

Okay, so for the first part (how many total students are in Ms. Smith's class) all we need to do is count all the dots. So there's 5 in the none category, 6 in the one category, 1 in the two category, 6 in the three category, 8 in the four category, 5 in the five category, 2 in the six, 2 in the seven, and 1 in the nine, so we add all that up:

5 + 6 + 1 + 6 + 8 + 5 + 2 + 2 + 1 = 36

So there's 36 students total in Ms. Smith's class

Now we have to count how many students have less than 3 siblings, so we're going through the 0 - 2 categories:

5 + 6 + 1 = 12

So there's 12 students in Ms. Smith's class with less than 3 siblings

let me know if this is wrong

hope this helps:)

3 0

3 years ago