Answer:
16/29
Step-by-step explanation:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(basketball or baseball) = P(basketball) + P(baseball) - P(both)
= (13/29) + (7/29) - (4/29)
= 16/29
The probability that a randomly chosen student plays either sport is 16/29.
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
The item now is $85 minus 60% pf $85.
<span>85 - (60/100)*85 </span>
<span>= 85 - 0.6 *85 </span>
<span>= 85 - 51 </span>
<span>= $34</span>
Answer: No, lines 'a' and b are not parallel
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Explanation:
We are given that line p is parallel to line q, which means angle 9 = angle 6 as they are alternate interior angles.
So angle 6 is 110 degrees. But this clashes with angle 8 being different at 70 degrees. Angles 6 and 8 must be congruent if we wanted lines 'a' and b to be parallel. Angles 6 and 8 are corresponding angles.
Step-by-step explanation:
Ratios can be written as:
a to b
a:b
a/b
We want to find boys to girls, and there are 24 boys and 12 girls. So, we can write it as
24 to 12
24:12
24:2
All of these can be reduced, since both the numerator and denominator can be divided by 12.
Numerator: 24/12=2
Denominator: 12/12=1
2 to 1
2:1
2/1
