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Anit [1.1K]
3 years ago
11

In a hospital ward, there are fifteen nurses and three doctors. Nine of the nurses and one of the doctors are female. If a perso

n is randomly selected from this group, what is the probability that the person is male or a doctor?
nine over eighteen

two over fifteen

eight over fifteen

eight over eighteen
Mathematics
1 answer:
pshichka [43]3 years ago
8 0

<span>The correct answer between all the choices given is the first choice, which is nine over eighteen. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
lions [1.4K]
Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,


\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2}&#10;\\\\\\&#10;sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1}&#10;\\\\\\&#10;sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)

\bf \measuredangle 2x=sin^{-1}(\pm 1)\implies \measuredangle 2x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\measuredangle 2x=\cfrac{\pi }{2}\implies \measuredangle x=\cfrac{\pi }{4}\qquad \qquad \qquad \qquad \measuredangle 2x=\cfrac{3\pi }{2}\implies \measuredangle x=\cfrac{3\pi }{4}
3 0
3 years ago
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
mash [69]

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.

Let me know if you'd  like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.

Step-by-step explanation:

8 0
3 years ago
A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct
denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

0.37x = 114

x = \frac{114}{0.37}

x = 308.11

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0
4 years ago
24-4x=32<br><br><br> Show your work
Mandarinka [93]

Answer:

-2

Step-by-step explanation:

24 - 4x =32

-4x =32 - 24

-4x=8

x=-8 :4

x=-2

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER RIGHT AWAY!!!
artcher [175]

Answer: option 3

is correct

4 0
4 years ago
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