<span>Lets look at this:-
73.93 ÷ 100 = ?
Lets solve:-
</span><span>73.93 ÷ 100 = 0.7393
</span>
So, <span>73.93 ÷ 100 = 0.7393 and this is a C.
Hope i helped ya!! </span>
Answer:
A.
SAT score = 1060
ACT score = 23.2
B.
ACT score = 36.3
Step-by-step explanation:
When the distribution is normal, we use 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.
SAT:

If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
This is X when Z has a pvalue of 0.62. So X when Z = 0.305.




Rounding to the nearest whole number.
SAT score = 1060
ACT:

The equivalent score is X when Z = 0.305.




So
ACT score = 23.2
B. If a student gets an SAT score of 1563, find the equivalent ACT score
Z-score for the SAT score.



Equivalent ACT:




ACT score = 36.3
Answer:
0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 440 seconds
Standard Deviation, σ = 50 seconds
We are given that the distribution of time is a bell shaped distribution that is a normal distribution.
Formula:

P(run the mile in less than 325 seconds)
P(x < 325)

Calculation the value from standard normal z table, we have,

0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
To find the area of this figure, let's first split this into two triangles by drawing a vertical line from point B down to the bottom of the figure. We then have two triangles:
One triangle with a base of 6 units and a height of 6 units
And a second triangle with a base of 1 unit and a height of 6 units
We know that to find the area of a triangle, we must use the equation:

So let's solve for the first triangle:

The let's solve for the second triangle:

Now to find the total area of the figure, let's add them together:

Now we know that
the area of this figure is
.