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frez [133]
2 years ago
6

What is the probability of drawing a queen or a heart from a standard deck of 52 cards?

Mathematics
2 answers:
kicyunya [14]2 years ago
7 0

Answer:

4/13

Step-by-step explanation:

4 queens and 13 hearts

4/ 52 + 13/52 - 1/52

16/52

4/13

Veronika [31]2 years ago
7 0

Answer:

Step-by-step explanation:

There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.

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Someone help me pleaseee
ikadub [295]

Answer:

2,7

Step-by-step explanation:

5 0
3 years ago
Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $7.80 per hour. the math clu
yulyashka [42]
The math club could rent the room for up to 8 hours. I have also attached a picture of the work in case you need it.

4 0
3 years ago
Read 2 more answers
Solve triangle ABC, when A= 6, B=10 and c=12
valentinak56 [21]
Use cosine rule,

cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)

cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)

cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)

Check:29.926+56.251+93.823=180.0 degrees....ok
5 0
3 years ago
How many gallons of a 20% acid solution should be mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solut
Alexeev081 [22]

Answer:

30 gallons of 20% acid solution should be mixed.

Step-by-step explanation:

Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.

Therefore, final volume of the solution will be (x + 30) gallons.

Now concept to solve this question is

20%.(x) + 40%.(30) = 30%.(x + 30)

0.20(x) + 0.40(30) = 0.30(x + 30)

0.20x + 12 = 0.30x + 9

0.30x - 0.20x = 12 - 9

.10x = 3

x = \frac{3}{0.1}

x = 30 gallons

Therefore, 30 gallons of the 20% acid solution should be mixed.

4 0
3 years ago
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