Answer:
Y=1 X=0
Step-by-step explanation:
Answer:
range: {y | y>= -8)
Step-by-step explanation:
We have a radical here.
y = root( x + 1) - 8
y is defined as long as x+1 >= 0
so domain must be x > -1
y values would start from -8
and go upward.
range: {y | y>= -8)
Answer:
354294
Step-by-step explanation:
729/3=243
243*243=59049
59049*6=354294
Answer: (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
Step-by-step explanation:
We know that the confidence interval population proportion (p) is given by :-
, where 
= sample proportion.
z* = Critical value (Two -tailed)
SE = standard error
Given : In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks), a substantial drop since the late 1990s.
SE = 0.019
Significance level =
Two-tailed value corresponds for 
:
z*=1.96 [Using z-table]
Now, the 95% confidence interval for the proportion of high-school seniors in the sample who would report binge drinking will be :-
Hence, the correct answer = (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
<h3>
Answer: Choice B) x = 1</h3>
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Explanation:
The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.
Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x
3-x = 2
3-x+x = 2+x .... adding x to both sides
3 = 2+x
2+x = 3 ..... flipping both sides
x+2 = 3
x+2-2 = 3-2 .... subtracting 2 from both sides
<h3>x = 1</h3>
You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.
