X+y=24 so we can say
x=24-y making 3x+5y=100 become
3(24-y)+5y=100
72-3y+5y=100
72+2y=100
2y=28
y=14, since x=24-y
x=10
So there are 10 3-point questions and 14 5-point questions.
Answer:
13/20
Step-by-step explanation:
To find this, divide 13 by 20 to get .65
Hope this helped!
(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y
Answer:
Lower limit: 113.28
Upper limit: 126.72
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:

Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 




Upper limit
X when Z has a pvalue of 0.80. So X when 




Answer:
sample of 100 students
Step-by-step explanation:
The larger the sampl the more diverse your answers/ data will be.