<h3>
Answer: 362,880</h3>
note: this is one single number. The comma helps make it more readable
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Explanation:
We have 9 positions to fill. The first position has 9 choices, the second has 8 (since we cannot pick the same person twice), then 7, then 6, and so on until we count down to 1. We multiply out all these values mentioned.
9*8*7*6*5*4*3*2*1 = 362,880
The idea of multiplying whole numbers counting down to 1 is a concept known as factorials. Because order matters, the value 362,880 represents the number of permutations possible.
Remark
This is a nice problem especially if you like blue jays! They actually do things like this.
Equations.
Let the number of trees = T
Let the number of acorns = A
20*T = A + 4 Read that carefully. There are 4 acorns left over. The number stored = A. The left over ones make 4 more than were stored.
Second equation
18*T = A - 4 Here we have 4 less than could be stored to full capacity.
Solution
20T = A + 4
<u>18T = A - 4 </u> Subtract
2T = 8 Divide by 2
T = 8/2; T = 4 Answer
20T = A + 4
20*4 = A
80 - 4 = A
A = 76 Answer
Answers
The number of Trees = T
The number of acorns = 76
Answer : $<span>35.84</span>
Nina Paid $<span>35.84 for the sweater :)
</span>
Answer:
a. A completely randomized design experiment
Step-by-step Explanation:
An experiment that is completely randomised is practically an effective way of controlling and reducing the influence of the confounding variables in a research study, especially when you have a sample that is large enough.
Randomisation will ensure that both the group that will wear the new shoe (treatment group) and the group that will not wear the new shoe (control group) will have averagely the same values for age and height. This will eliminate the chances of these confounding variables of correlating with the independent variable in the study, as there would be no difference, in terms of characteristics, between both groups.
Answer:
x = -7
, y = 5 thus D)
Step-by-step explanation:
Solve the following system:
{4 x - 4 y = -48 | (equation 1)
5 x - 6 y = -65 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 6 y = -65 | (equation 1)
4 x - 4 y = -48 | (equation 2)
Subtract 4/5 × (equation 1) from equation 2:
{5 x - 6 y = -65 | (equation 1)
0 x+(4 y)/5 = 4 | (equation 2)
Multiply equation 2 by 5/4:
{5 x - 6 y = -65 | (equation 1)
0 x+y = 5 | (equation 2)
Add 6 × (equation 2) to equation 1:
{5 x+0 y = -35 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -7 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -7
, y = 5
