Answer:
The lowest score you can earn and still be eligible for employment is 85.6925
Step-by-step explanation:
Problems of normally distributed samples 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.
In this question, we have that:

Top 5%.
At least the 100-5 = 95th percentile.
The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.




The lowest score you can earn and still be eligible for employment is 85.6925
Answer:
Step-by-step explanation:
a) D/280 = tan(90 - 6)
D = 280tan84 = 2,664 ft
b) D/280 = tan(90 - 16)
D = 280tan74 = 976 ft
ship speed = (2664 - 976) / 43 = 39.2 ft/s
A^2+b^2= c^2
Plug in the points. the longest side is always c.
95.2^2+ b^2= 168^2.
Square the numbers.
9063.04+ b^2= 28224
Subtract 9063.04 on both sides.
b^2= 19160.96
Find the square root.
b= 138.423119456
Or, b= 138.4 (rounded down)
I hope this helps!
~kaiker
The function (119x + 171) represents the amount, in dollars. Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The system of equations are;
p(x) = 68x + 81.
q(x) = 51x + 90.
So,
p(x) + q(x) = 68x + 81 + 51x + 90
p(x) + q(x) = 119x + 171
The function (119x + 171) represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil’s Appliances.
p(x) + q(x) = 119x + 171
x= 2 hours
p(x) + q(x) = 119 (2) + 171
p(x) + q(x) = 409
Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.
Learn more about equations here;
brainly.com/question/10413253
#SPJ1
circumference =2πr=2× 7 22 ×28=22×8 =176 cm
Area =πr 2 = 7 22 ×28×28=88×28 =2464 cm 2
<u><em>circumference=176 cm </em></u>
<u><em>Area= 2464 cm 2</em></u>