What is the sum of the 3rd cube number and the 1st cube number?

Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0

3 years ago

Find the slope and y-intercept in the equation.<br> 2x+4y=9

const2013 [10]

The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.

To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept

4 0

3 years ago

The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

tester [92]

Answer: $p=7, q=3$

Step-by-step explanation:

The midline of the function is

$\frac{10-4}{2}=3 \implies q=3$

This means that to obtain a maximum of 10, when $\sin x$ reaches it's maximum, 1, $g(x)=p+q=10 \implies p=7$

7 0

2 years ago

You have 60.00 in your wallet and you want to buy some new cds. if the cd's are 11.00 each, what number of cd's x can you buy?wr

Dvinal [7]

You have $60.00.
Each CD (x) is $11.00.

11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60.
x ≤ 5.45

You can only buy 5 CDs.

3 0

3 years ago

The legend on a map states that

dimulka [17.4K]

Answer:

Step-by-step explanation:

1 cm=10 km

8 cm=10×8=80 km

4 0

3 years ago