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Novay_Z [31]
3 years ago
12

In a hospital ward, there are 10 nurses and 6 doctors. 4 of the nurses and 3 of the doctors are male. If a person is randomly se

lected from this group, what is the probability that the person is female or a doctor?
A) 3/16
B) 6/16
C) 12/16
D) 9/16
Mathematics
1 answer:
Degger [83]3 years ago
4 0
Sample space is (3FD , 3MD, 4MN, 6FN) 
   
where F=female M= male N=Nurse D=doctor)

so P(doctor or female ) =   (3+3+6) / 16  = 12/16 answer

Its C
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gasoline wholesale distributor has bulk storage tanks holding a fixed supply. The tanks are filled every Monday. Of interest to
Zolol [24]

Answer:

e. 0.08

Step-by-step explanation:

In the question above, a certain quantity of goods was supplied while a specific quantity of goods was sold per week. In a given week, if the number of proportion sold is X, therefore:

f(x) = {Γ(4+2)/Γ(4)Γ(2) x^3 (1-x), 0≤x≤1 ; 0, elsewhere

and

P(X greater than 0.9) =  \int\limits^1_ {0.9} \, 20(x^{3} - x^{4}) dx = 20*{(y^4/4)[1,0.9] - (y^5/5)[1,0.9]} = 20*{(0.25 - 0.164) - (0.20 - 0.118)}  = 20*{0.086 - 0.0819} = 20*0.0041 = 0.082

Therefore the probability of the proportion sold is approximately 0.082

4 0
3 years ago
Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form a.bc.. \times 10^kexponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

  • First number = 6.5 \times 10^3 = 6500
  • Second number = 5.5 \times 10^5 = 550000
  • Third number = 1.1 \times 10^3 = 1100

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0
2 years ago
The table below represents values of f(x) for selected values of x.
qwelly [4]

Answer:

The function g(x) has a greater x- intercept than the function f(x)

Step-by-step explanation:

7 0
3 years ago
12. From a rope 68 m long, pieces of equal size are cut. If length of one piece is 4/14 m, find the number of such pieces.
otez555 [7]

Answer:

hope this helps (sorry for messy handwriting!)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(6m³n)²(-4m⁵n) <br><br>must be simplified​
Alekssandra [29.7K]

Answer:

-144m^11n^3

Step-by-step explanation:

-(6m^3)^2 x 4m^5n

-36m^6n^2 x 4m^5n

Answer:

-144m^11n^3

8 0
3 years ago
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