Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.
To graph this , first we make the absolute function alone
|x + 1| + 2 > 5
to make absolute function alone we subtract 2 from both sides
|x + 1| > 3
x+1 inside the absolute function . so x=-1
From -1, move 3 units to the right and 3 units to the left.
For x>2 , shade the graph to the right
For x< -4, shade the graph to the left
The graph is attached below
The solution to the inequality is x<-4 and x>2
Answer:
quadrant 4
Step-by-step explanation:
I find it helpful to remember that the cosine is positive in the right half-plane, and the sine is positive in the top half-plane. Knowing the relationship between sine and cosine and all the other trig functions, you can figure their signs in the various quadrants.
The bottom half-plane (sin < 0) and the right half-plane (cos > 0) overlap in the 4th quadrant.
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
