Help solve these show little steps if possible
1 answer:
Answer:
a)
x≥3
b)
c)
y < 28
d)
x > 5/2
Step-by-step explanation:
a)
We have been given the following inequality;
4x-3≥9
add 3 to both sides of the equation,
4x-3+3≥9+3
4x≥12
divide both sides by 4,
x≥3
b)
We have been given the following inequality;
3(t+4)<5
we open the brackets on the left hand side,
3t + 12 <5
subtract 12 on both sides of the equation,
3t + 12 -12 <5-12
3t < -7
divide both sides by 3,
c)
We have been given the following inequality;
multiply both sides by 7,
2y < 56
divide both sides by 2,
y < 28
d)
5x + 4 > -3(x-8)
we open the brackets on the right hand side,
5x + 4 > -3x + 24
add 3x to both sides of the inequality,
5x + 4 + 3x > -3x + 24 + 3x
8x + 4 > 24
subtract 4 on both sides,
8x + 4 - 4 > 24 - 4
8x > 20
divide by 8 on both sides,
x > 5/2
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Answer:
The minumum numeric grade you have to earn to obtain an A is 81.29.
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:
The professor curves the grades so that the top 8% of students will receive an A. What is the minumum numeric grade you have to earn to obtain an A?
The minimum numeric value is the value of X when Z has a pvalue of 1-0.08 = 0.92. So it is X when Z = 1.405.
So
The minumum numeric grade you have to earn to obtain an A is 81.29.