Answer:
x = 17
Step-by-step explanation:
1) Make the bases the same then rewrite.
4 = 2²
2^2(2x - 5) = 2^3x + 7
2) Since the bases are the same, set the exponents equal to each other.
2(2x -5) = 3x + 7
4x - 10 = 3x + 7
4x - 3x = 7 + 10
x = 17
proportional because 1*5/3*5=5/15
Since 180cm is one full turn you divide it by pie which is 3.14
=180/3.14
=180/3 (Rounded down)
=60
The answer is $50
Assume the original cost price to be $x
Therefore ,
X - 36X/100 = $32
-> 100x - 36x = 32 x 100
-> 64x = 3200
-> x = 3200/64
-> x = 50
Answer:
1.32% of students have the chance to attend the charter school.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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.
This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.
This means that
a.What is the percentage of students who have the chance to attend the charter school?
Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So
has a pvalue of 0.9868
1 - 0.9868 = 0.0132
0.0132*100% = 1.32%
1.32% of students have the chance to attend the charter school.