Answer:
last option is the answer; all values greater than 12
Step-by-step explanation:
2/3x - 5 > 3
2/3x > 8
x > 24/2
x > 12
Answer:
x = -3
Step-by-step explanation:
2(x + 7) - 3 = 5 (given)
2x + 14 - 3 = 5 (Distributive Property)
2x + 14 = 8 (Addition Property of Equality)
2x = -6 (Subtraction Property of Equality)
x = -3 (Division Property of Equality)
Let p = pictures only
let f = pictures with frames
p + f = 100
5p + 10f = 875
Solve for one variable in the first equation then plug into the second
p = 100 - f
5(100 - f) + 10f = 875
500 - 5f + 10f = 875
500 + 5f = 875
5f = 375
f = 75
75 pictures with frames were sold
Answer:
a) 
b) 
c) Mary's score was 241.25.
Step-by-step explanation:
Problems of normally distributed samples can be 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:

a) Find the z-score of John who scored 190



b) Find the z-score of Bill who scored 270



c) If Mary had a score of 1.25, what was Mary’s score?




Mary's score was 241.25.