Answer:
50% of females do not satisfy that requirement
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If a college includes a minimum score of 900 among its requirements, what percentage of females do not satisfy that requirement
This is scores lower than 900, which is the pvalue of Z when X = 900.
So
has a pvalue of 0.5
50% of females do not satisfy that requirement
there's a grid of squares with 12 rows and in each row there are 15 squares
from this grid she colours 8 squares from each row for 5 rows blue.
the rest of the squares she colours red
so first we have to find how many squares are there in the grid in total
so if each row has 15 squares
then 12 rows have - 15 x 12 = 180 squares
blue coloured squares
she colours 8 rows of 5 squares
so if 1 row has - 5 squares
then 8 rows have - 5 x 8 = 40 squares
from 180 squares, she colours 40 squares blue and the rest red colour
therefore the squares she colours red are
red squares = 180 - 40 = 140 squares
she colours 140 squares red
For a relationship to be linear, there must be a constant rate of change. To check this, you need to calculate the equation of the line.
A linear line will always have an equation in the following pattern:
y = mx + c where m is the slope and c is a constant.
This equation must be of first degree (highest power is x^1) to be linear.
Note:
the slope can be calculated using two points (x1,y1) and (x2,y2) as follows:
m = (y2 / y1) / (x2 - x2)
You can then use points from the table and substitute in the equation to calculate the value of c.
Let <em>n </em>represent the date and <em>f(n)</em> represent the money on a specific day.
We see that the pattern is every day, we add $0.50 into our little piggy bank.
So on day 1, we get $0.50 and on day 2, we get $1.00. We can see it is a linear function and since in is increasing by $0.50, our slope <em>m </em>is $0.50.
So we get:
<em>f(n) = </em>0.5<em>n</em>
Let's test this. On day 3 we get:
<em>f(3) </em>= <em>0.5(3) </em>= 1.50
So it works! So our answer is:
<em>f(n) = 0.5n
</em><em />Hopes this helps!
Answer:
The standard deviation of the sample mean is 4 minutes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The standard deviation of the population is 32.
Sample of 64.
So
The standard deviation of the sample mean is 4 minutes
