Hey number 8. Be super careful, less than always look at that it should be 5n-3
Answer:
x = 4
Explanation:
−2x − 4 + 5x = 8
[ Simplify both sides of the equation ]
−2x − 4 + 5x = 8
−2x + −4 + 5x = 8
(−2x + 5x) + (−4) = 8 (Combine Like Terms)
3x + −4 = 8
3x − 4 = 8
[ Add 4 to both sides ]
3x − 4 + 4 = 8 + 4
3x = 12
[ Divide both sides by 3 ]
3x / 3 = 12 / 3
x = 4
- PNW
Answer: ± 1.96
Step-by-step explanation:
Given the following :
Mean (m) time spent = 11.85
Standard deviation = 4 minutes
Since the population of site visits is Normally distributed, Hence, the test statistic will follow a normal distribution :
The test the hypothesis that mean time has changed at 0.05 confidence interval
Normal distributions have a mean value of 0 and standard deviation of 1
Using a two tailed test At 0.05 confidence interval ;
Using the critical value calculator, which in general under normal distributions :
0.05% confidence interval for a two tailed test is
± 1.96
Answer:
The sides are 3, 4, and 5
Step-by-step explanation:
Let one side be 'n', if the side lengths are consecutive integers, we have
n
n + 1
and
n + 2 are our side lengths. adding 1 to n gives us the next integer. Adding 2 to n gives use the second consecutive integer to n
The perimeter is 12, so our equation is..
n + (n + 1) + (n + 2) = 12
Now combine like terms and solve..
n + n + 1 + n + 2 = 12
3n + 3 = 12
3n = 9 (subtract 3 from both is sides)
n = 3 (divide by 3 on both sides)
Since n = 3,
n + 1 = 4 and
n + 2 = 5
So the sides are 3, 4, and 5
