Answer: 0.547
Step-by-step explanation:
As per given , we have
Population mean = 
Population standard deviation= 
Sample size : n= 36
We assume that number of apps used per month by smartphone owners is normally distributed.
Let
be the sample mean.
Formula : 
The probability that the sample mean is between 19.5 and 20.5 :-

[using standard normal distribution table for z]
Hence, the required probability = 0.547
Answer:
The value of x = - 1 and 2 double root of this function
Step-by-step explanation:
we need to find the value of x which double root of 
If we replace x with -2 then

If we replace x with -1 then

If we replace x with 1 then

If we replace x with 2 then

Hence, the value of x = - 1 and 2 double root of this function
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 
Let's start first by writing down the given:
σ = 100
sample mean = 450
sample size = 25
These information, plus the fact that we know that the population is approximately normally distributed, would tell us that we can use the
normal distribution curve in analyzing the problem.
A confidence interval of the mean is just a range statistically estimated to contain the population mean. For a 90% confidence interval, we would look at the Z-table and see where 90% of the data falls. We'll notice that it will fall within
1.645 standard deviations of the mean.
Next, we look for the standard error of the mean. This will have a formula

The standard error would just therefore be equal to

Lastly, we just get the product of the standard error and 1.645 and add it to 450 for the maximum value and subtract it to 450 for the minimum value.

ANSWER: 417.1<μ<482.9
Answer:
3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of
2 hours, 4 times Adrian’s favorite team was ahead by 3 points, and 4 times Adrian’s favorite team was behind
by 4 points. All other times, the two teams were tied.
(a) What is the average score of Adrian’s favorite team relative to its opponent using the observations
Adrian made during the game? Show your work neatly.
(b) Explain what this value means about Adrian’s favorite team’s performance
Step-by-step explanation: