Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
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:

What is the probability that a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So



has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
<span><span>Step One:<span> Identify two points on the line.</span></span><span>Step Two:<span> Select one to be (x</span>1<span>, y</span>1<span>) and the other to be (x</span>2<span>, y</span>2).</span><span>Step Three:<span> Use the slope equation to calculate slope. hope this helps </span></span></span>
2 7/12 hours
X=101/2 - ( 3+4+1/4+2/3)
X=101/2 - 7 + (1/4+2/3)
1/4+2/3= 11/12
101/2 - 7 =3 1/5
X = 3 1/5 - 11/12 = 2 7/12
65.27mm of acid is present in solution.
Step-by-step explanation:
Given,
Quantity of solution = 333mm
Acid Percentage = 19.6%
Quantity of acid = 19.6% of Quantity of Solution

65.27mm of acid is present in solution.
Keywords: Percentage
Learn more about percentages at:
#LearnwithBrainly
Answer:
49 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ← s is the length of the side, thus
s³ = 343 ( take the cube root of both sides )
s =
= 7, thus
area of base = s² = 7² = 49 cm²