When the base is the same, and it is a ÷, subtract the exponents (if it is a ×, add the exponents):
-11/3-(-2/3)=-9/3=-3
4^(-3)=1/4³=1/64
the first choice is correct.
Answer:
388
Step-by-step explanation:
4+6x64
multiply 6 and 64
6 times 64 = 384
Add 4 to 384
384+4=388
Answer:
a) Attachment
b) 6 to 14.8 in
c) 2.5%
Step-by-step explanation:
Given:
- The mean is u = 10.4 in
- The standard deviation s.d = 4.4
- Sample size n = 28
Find:
- Choose the correct Normal model for tree diameters. A. B. C.
- What size would you expect the central 68% of all tree diameters to be?Using the 68-95-99.7 rule, the central 68% of the tree diameters are between ____ inches and _____ inches.
- About what percent of the trees should have diameters below 1.6 inches?
Solution:
- The central 68% lies within two s.d from mean.
10.4 + 1*4.4 = 14.8
10.4 - 1*4.4 = 6
Hence, the central 68% are between 6 and 14.8 inches.
- The central 95% lies within two s.d from mean.
10.4 + 2*4.4 = 19.2
10.4 - 2*4.4 = 1.6
- The central 95% are between 1.6 and 19.2 inches.
- Hence, P ( X < 1.6) = (1 - 0.95)/2 = 0.025 or 2.5%
Answer:
<span>r≤−10∪r≥4</span>
Explanation:
<span><span>|<span>r+3</span>|</span>≥7</span>
SOLUTION 1
<span>r+3≥7</span>
<span>r≥4</span>
SOLUTION 2
<span>r+3≤−7</span>
<span>r≤−10</span>
Since the two inequalities do not intersect when graphed, the solution set is
<span>r≤−10∪r≥<span>4 </span></span>
Answer:
Tennessee
Step-by-step explanation:
First, let's find out how much tax he paid...
$695.49-$649.99=$45.50
We can use this to set up an equation...
x%(649.99)=45.50
We can convert x% to x/100 since any percentage is just that number over one hundred...

Multiply 100 to both sides

Divide both sides by 649.99

This is closest to 7 (our answers is not exact since you can only have two decimal places in money), therefore he lives in D. Tennessee