B,
P(A and B)= P(A)xP(B)
P(A and B)=0.60x0.30
P(A and B)=0.18
Answer:<em><u> x= 4/3 but in decimal form =1.333</u></em>
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4-(2*(3*x-2))=0
4 - 2 • (3x - 2) = 0
Pull out like factors :
8 - 6x = -2 • (3x - 4)
Solve : 3x-4 = 0
Add 4 to both sides of the equation :
3x = 4
Divide both sides of the equation by 3:
<em><u>x = 4/3 = 1.333</u></em>
Answer:
57.6% have allergies
42.4% have no allergies
Step-by-step explanation:
We only need to consider the students who speak two languages according to the question.
To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).
19/33 = 0.5757 = 57.6%
To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).
14/33 = 0.4242 = 42.4%
Check your work by adding the percentages to make sure they equal 100%
57.6 + 42.4 = 100
3102 base4 = 3x4^3+ 1x4^2 + 2x1 = 3x64 + 1x16 + 2 = 210 base10
The powers of 2 are 2, 4, 8, 16, 32, 64, 128, 256
210 = 128 + 64 + 16 + 2 = 2^7 + 2^6 + 2^4 + 2^1 = 11010010 base2
A faster method is to each digit in base 4 to two digits in base 2
3 base4 = 11 base2
1 base4 = 01 base2
0 base4 = 00 base2
2 base4 = 10 base2
So 3102 base4 = 11010010 base2
If you wanted to convert base 4 to (say) base 5 you would need the first method and convert to base 10 first