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3 years ago

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Six books are to be placed in a 3-tier triangular shelf. How many ways can this be done if the top teir can hold one book, the s

econd tier can hold two books, the third teir can hold three books. (topic: permutation and combination)

1 answer:

lawyer [7]3 years ago

5 0

Answer:

you still need answerrrr

Step-by-step explanation:

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(Will give Brainliest) Explain what the graph of the function represents. Be sure to use complete sentences.

Irina-Kira [14]

Answer: $f(-735) = -\frac{2}{3}(-735) + 490 = 980$

Step-by-step explanation:

$f(x) = -\frac{2}{3} x + 490 =0$ Subtract 490 from both sides

$\frac{3}{2}* -\frac{2}{3} x = -490 *\frac{3}{2}$ Then flip $-\frac{2}{3}$ multiply both sides by $\frac{3}{2}$ to cancel out $-\frac{2}{3}$

$x= -735$ Thus giving you -735 as your $x$ .

Then you plug it back into the equation to solve.

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2 years ago

The scale factor of the dimensions of two similar wood floors is 4:3. It costs $207 to refinish the smaller wood floor. At that

Crank

Answer:

$276

Step-by-step explanation:

Create a proportion where x is the cost to refinish the larger wood floor:

$\frac{4}{3}$ = $\frac{x}{207}$

Cross multiply and solve for x:

3x = 828

x = 276

So, to refinish the larger wood floor, it would cost $276

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3 years ago

Learning Thoery In a learning theory project, the proportion P of correct responses after n trials can be modeled by p = 0.83/(1

elena-s [515]

Answer:

a) $P(n=3) = \frac{0.83}{1+e^{-0.2(3)}}= \frac{0.83}{1+ e^{-0.6}} = 0.536$

b) $P(n=7) = \frac{0.83}{1+e^{-0.2(7)}}= \frac{0.83}{1+ e^{-1.4}} = 0.666$

c) $0.75 =\frac{0.83}{1+e^{-0.2n}}$

$1+ e^{-0.2n} = \frac{0.83}{0.75}= \frac{83}{75}$

$e^{-0.2n} = \frac{83}{75}-1= \frac{8}{75}$

$ln e^{-0.2n} = ln (\frac{8}{75})$

$-0.2 n = ln(\frac{8}{75})$

And then if we solve for t we got:

$n = \frac{ln(\frac{8}{75})}{-0.2} = 11.19 trials$

d) If we find the limit when n tend to infinity for the function we have this:

$lim_{n \to \infty} \frac{0.83}{1+e^{-0.2t}} = 0.83$

So then the number of correct responses have a limit and is 0.83 as n increases without bound.

Step-by-step explanation:

For this case we have the following expression for the proportion of correct responses after n trials:

$P(n) = \frac{0.83}{1+e^{-0.2t}}$

Part a

For this case we just need to replace the value of n=3 in order to see what we got:

$P(n=3) = \frac{0.83}{1+e^{-0.2(3)}}= \frac{0.83}{1+ e^{-0.6}} = 0.536$

So the number of correct reponses after 3 trials is approximately 0.536.

Part b

For this case we just need to replace the value of n=7 in order to see what we got:

$P(n=7) = \frac{0.83}{1+e^{-0.2(7)}}= \frac{0.83}{1+ e^{-1.4}} = 0.666$

So the number of correct responses after 7 weeks is approximately 0.666.

Part c

For this case we want to solve the following equation:

$0.75 =\frac{0.83}{1+e^{-0.2n}}$

And we can rewrite this expression like this:

$1+ e^{-0.2n} = \frac{0.83}{0.75}= \frac{83}{75}$

$e^{-0.2n} = \frac{83}{75}-1= \frac{8}{75}$

Now we can apply natural log on both sides and we got:

$ln e^{-0.2n} = ln (\frac{8}{75})$

$-0.2 n = ln(\frac{8}{75})$

And then if we solve for t we got:

$n = \frac{ln(\frac{8}{75})}{-0.2} = 11.19 trials$

And we can see this on the plot attached.

Part d

If we find the limit when n tend to infinity for the function we have this:

$lim_{n \to \infty} \frac{0.83}{1+e^{-0.2t}} = 0.83$

So then the number of correct responses have a limit and is 0.83 as n increases without bound.

5 0

3 years ago

A pancake recipe calls for one egg for every 4 cups of flour. How many cups of

Marat540 [252]

Answer

20

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form

wlad13 [49]

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

8 0

3 years ago

Read 2 more answers