Answer:
x = -3
Step-by-step explanation:
1/4(12x - 8) + 2x = -17
3x - 2 + 2x = -17
3x + 2x = -17 + 2
5x = -15
5x ÷ 5 = -15 ÷ 5
x = -3
If the pi = 3.14
then the answer is ≈5.42
It’s D
(It’s making me write more words)
If it decreases at 4% every year, then its value becomes:
100% - 4% = 96% = 96/100 = 0.96
At the end of the 1 year its value becomes: 150*(0.96)
At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²
At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³
So similarly at the end of 12 years, its value becomes 150*(0.96)¹²
=50*(0.96)¹² simplify with calculator.
<span>≈ 91.91
Value at the end of 12 years becomes ≈ $</span><span>91.91
I hope this helps.
</span>
Answer:
There is no enough evidence to reject the claim using a level of significance of 5%
Step-by-step explanation:
Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test
vs 
(two-tailed alternative).
We have a large sample of size n = 500 and a point estimate for p is 
. The test statistic is given by
where 
is the standard error of 
when 
is true. The observed value is 
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.
