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7nadin3 [17]
2 years ago
12

with reference to a universal set, the inclusion of a subset in another is relation which is a) symmetric only b) transitive onl

y c) reflexive only d) None of these
Mathematics
1 answer:
Vlad [161]2 years ago
5 0

Answer:

D?

Step-by-step explanation:

I think it is D since a universal set would only be {1,2,3,4,5,6,...} and the subset would not satisfy any of the conditions of symmetric, transitive, and reflexive.

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A box contains four 75 W lightbulbs, three 60 W lightbulbs, and three burned-out lightbulbs. Two bulbs are selected at random fr
Law Incorporation [45]

Answer:

a. 0.689

b. 0.8

c. 0.427

Step-by-step explanation:

The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial.

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

where N=4+3+3=10

n=2

k=4

a.

P(X>0)=1-P(X=0)

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

P(X=0)=4C0(6C2)/10C2=15/45=0.311

P(X>0)=1-P(X=0)=1-0.311=0.689

P(X>0)=0.689

b.

The mean of hyper-geometric distribution is

μx=nk/N

μx=2*4/10=8/10=0.8

c.

The variance of hyper-geometric distribution is

σx²=nk(N-k).(N-n)/N²(N-1)

σx²=2*4(10-4).(10-2)/10²*9

σx²=8*6*8/900=384/900=0.427

6 0
2 years ago
Tino's Pizza charges $9 for a cheese pizza.Eileen has $45 to buy pizza for the Korean club.Write and solve an inequality to find
frez [133]
Eileen can buy 5 pizzas.

8 0
3 years ago
Read 2 more answers
A boy and girl ran towards each other. The boy ran at 1 mph and the girl ran at
sergiy2304 [10]

Step-by-step Answer:

Very tricky question where we have to pay attention to units.

Total distance = D = 50 m

Total speed = S = 1+2 = 3 miles per hour

When they run towards each other for a given distance, the solution is given by

time = total distance / total speed

= 50 metres / (2+1) miles per hour.

= 50 metres / 3 miles per hour

We know that 1 inch = 2.54 cm exactly, so

D3= distance of three miles

= 3 miles

= 3 miles * 1760 yards /mile

= 3*1760 yards * 36 inches per yard

= 3*1760*36 inches * 2.54 cm / inch

= 3*1760*36*2.54 cm

= 3*1760*36*2.54 cm * (1/100) m/cm

= 3*1760*36*2.54/100 metres

The total speed is therefore

S = D/3600 seconds

= 3*1760*36*2.54/100 / 3600

= 1.34112 m/s (exactly)

Therefore time before they meet is

Time = Distance / total speed

= D / S

= 50 metres / S m/s

= 50 / 1.34112  seconds

= 37.28 seconds (to the hundredth of a second)

8 0
2 years ago
Find the volume of the triangular prism described below.
dem82 [27]

Answer:

The volume of the rectangular prism is 57.6in³

Step-by-step explanation:

First of all we need to calculate the area of the triangle, as the triangle has two 45 ° angles this means that it has 2 equal legs

a = area

a = (8in * 8in) / 2

a = 64in²/2

a = 32in²

To calculate the volume of a rectangular prism we have to use the following formula:

a = area =  32 in²

v = volume

h = height  = 1.8in

v = a * h

we replace the values that ​​we know        

v =  32in² * 1.8in

v = 57.6in³

The volume of the rectangular prism is 57.6in³

6 0
3 years ago
Three is less than the sum of a number s and 4, write the sentence as a inequality.
Alisiya [41]

Let's break this down:

"Three" = "3"

"is less than" = "<"

"The sum of a number, s, and 4" = "s + 4"

<u>Putting it together, your inequality is "3 < s + 4".</u>

4 0
3 years ago
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