Answer:
xy = -1 and y = -1/x are the same.
They are not linear equations because they are not written in the form
Ax + By = C.
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
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The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
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The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
2.25 is the answer you take 3 times 3/4 and you get 2.25
Answer:
the null hypothesis would be: p = 70%/0.7
The alternative hypothesis would be: p < 0.7
Step-by-step explanation:
The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.
In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7
The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7
It is A
<span><span><span>23</span>x</span>=10</span>Step 1: Multiply both sides by 3/2.<span><span><span>(<span>32</span>)</span>*<span>(<span><span>23</span>x</span>)</span></span>=<span><span>(<span>32</span>)</span>*<span>(10)</span></span></span><span>x=<span>15
</span></span>Answer:<span>x=<span>15</span></span>
