Answer:
The top 20% of the students will score at least 2.1 points above the mean.
Step-by-step explanation:
When the distribution is normal, we use 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.
The mean of a certain test is 14 and the standard deviation is 2.5.
This means that 
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:




16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.
Answer:The countries with lower GDP are the same as those with the lowest HDI.
U GDP is a solid indicator of what a country's HDI will be.
da
Step-by-step explanation:
Which statements about countries with lower GDP and lowest HDI scores are accurate?
The countries with lower GDP are the same as those with the lowest HDI - human development index a measure of life expectancy, education and per capita income indicators.
The GDP rank tends to be associated with the lowest HDI.
U GDP - gross domestic product the total monetary value of goods and services in country at a specific time period is a solid indicator of what a country's HDI will be.
da
The GDP can be used to rank a country's HDI
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2
-26n -22= n - 90
-26 times a number: -26n
minus 22: -22
equal: =
90 less than a number: n - 90
Solving the Equation:
Move n to the left side of the equal sign (which becomes -n) in order to combine like terms:
-26n-n-22= -90
Move -22 to the right side of the equal sign which becomes +22
-26n-n=-90+22
solve both sides; -26n-n= -27n and -90+ 22= -78
-27n=-78
n= 2.888888
Answer:
Not sure what this question is asking but for the hourly rate, the answer is $20.
Step-by-step explanation:
You can write an equation as 20x=400.
Simply solve it by dividing each side by 20 to find the hourly rate in dollars per hour.
You get x=20 as your answer so 20 dollars per hour!
Hope this helps! :)