Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
Answer:
0.568516
Step-by-step explanation:
To find the the Coefficient of determination you simply square r.
Just make sure you have the original r value and not the rounded value.
0.754^2 = 0.568516
and then depending on how many decimals you need to round to...
Sue = 2 Sally
Sara = Sue - 1
= (2Sally) - 1
Sally + Sue + Sara = 49
Sally + 2 Sally + 2 Sally - 1 = 49
5 Sally = 49 + 1
5 Sally = 50
Sally = 10
Sue = 20
Sara = 19
Answer:
cup of hot sauce is required by Jenkins for the party.
Step-by-step explanation:
We are given the following in the question:
Total number of people in party = 48
9 people requires a serving of
cup of hot sauce.
Ration of number of cups of hot sauce to number of people is:

Now, we have to find the amount of hot sauce Jenkins need foe the party.
We can calculate it in the following manner:

Thus,
cup of hot sauce is required by Jenkins for the party.