1A. Exact Form: Mixed Number Form:
2A. Exact form: Mixed Number Form:
3A. Simplified: 31
4A. Simplified: 6
5A. Simplified: 13
6A.Exact form: Mixed Number Form:
1B. 11
2B. 40
3B. Exact Form: Mixed Number Form:
4B. Exact form: Mixed Number Form:
5B. Exact form: Mixed Number Form:
6B. 23
7B. Exact form: Mixed Number Form:
Answer:
x=4
Step-by-step explanation:
3x+6=2x+10
x+6=10
x=4
Answer:
The minimum score required for an interview is 73.4.
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:
If test scores are normally distributed, what is the minimum score required for an interview?
Top 25%, which is at least the 100-25 = 75th percentile, which is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.
The minimum score required for an interview is 73.4.
Answer:
b ≈ 7.54 cm
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
a and b are the sides and c is the hypotenuse
hypotenuse is 11 cm
a side is 8 cm
so
8² + b² = 11²
64 + b² = 121
-64 -64
b² = 57
√b² = √57
b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)