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valentinak56 [21]
2 years ago
12

Scores on a Registered Nurse (RN) aptitude exam are normally distributed with a mean of 72 and a standard deviation of 8. What i

s the probability a randomly selected RN will score more than 85 on the exam?
Mathematics
1 answer:
Yuri [45]2 years ago
5 0

Answer:

Step-by-step explanation:

Solved using excel

If you were supposed to use a normal table to solve leave a comment

0.0520812794152196

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Solve the differential equation.<br> question is pictured with answer choices
Nimfa-mama [501]

Integrate both sides with respect to <em>t</em> :

∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>

<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>

Use the initial condition to solve for <em>C</em> :

5 = -4•0³+ <em>C</em>

<em>C</em> = 5

So

<em>y(t)</em> = -4<em>t</em> ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du

\implies y(t)=5-4u^3\bigg|_0^t

\implies y(t)=5-4t^3

4 0
3 years ago
Find the perimeter of triangle ABC.
Harlamova29_29 [7]
By definition, the perimeter of the triangle is the sum of its sides.
 We must then use the formula of distance between points:
 d =  \sqrt{(x2-x1) ^ 2 + (y2-y1) ^ 2}
 We now look for the longitus for each of the sides:
 
 For L1:
 L1 = \sqrt{(6-2)^2 + (6-2)^2}
 L1 =  \sqrt{32} &#10;
 L1 = 4\sqrt{2}

 For L2:
 L2 = \sqrt{(7-2)^2 + (-3-2)^2}
 L2 = \sqrt{50}
 L2 = 5\sqrt{2}

 For L3:
 L3 = \sqrt{(7-6)^2 + (-3-6)^2}
 L3 = \sqrt{82}
 
 Then, the perimeter is given by:
 P = L1 + L2 + L3
 Substituting values we have:
 P = 4\sqrt{2} + 5\sqrt{2} + \sqrt{82} &#10;&#10;P = 9\sqrt{2} + \sqrt{82}

 Answer:
 
the perimeter of triangle ABC is:
 
none of the above.
5 0
4 years ago
Read 2 more answers
What is 0.66666666666 rounded
Oksana_A [137]

Answer:

0.66666666666 as a decimal

How much is the decimal number 0.66666666666 written as (converted to) a percentage? Answer: 66.666666666%

4 0
4 years ago
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25 POINTS!! HELP ASAP PLEASE!!!
gladu [14]

Answer:

b.

Step-by-step explanation:

Stem is the first digit and the leaf is the last digit.

Below the table is explained that 1 l 7 is 1.7 because it also could mean 17. So with that clear the terms from the Stem l Leaf are as follow:

1 combined with 3, 7 and 7:

1.3, 1.7 and 1.7

2 combined with 6, 8 and 8:

2.6, 2.8, 2.8

3 combined with 5 and 7:

3.5 and 3.7

All the terms:

1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7

4 0
3 years ago
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environ
MA_775_DIABLO [31]
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.
3 0
3 years ago
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