Answer:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
Step-by-step explanation:
The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
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Given the information, we shall proceed as follows:
The given problem is a binomial problem.
n=10 and p=0.48
thus, the probability that the number who consider themselves baseball fans is:
a] exactly five
P(x=5)=10C5(0.48)^5(0.52)^5=0.244
b] at least 6
P(x>=6)=1-P(x<8)
=P(6)+P(7)+P(8)+P(9)+P(10)
=10C6(0.48)^6(0.52)^4+10C7(0.48)^7(0.52)^3+10C8(0.48)^8(0.52)^2+10C9(0.48)^9(0.52)^1+10C10(0.48)^10
=0.1878+0.0991+0.0343+0.0070+0.0007
=0.3289
The answer: 0.3289
c] Less than 6
P(x<6)=1-P(x>=6)
=1-0.3289
=0.6711
The answer is D because the opposite sides are equal to each other, so you have 2 of each measurement. Also, midsegments divide each side of the bigger triangle in half. So 2 (1/2AC + 1/2AB)= the perimeter of the quadrilateral but the 2 in front will cancel out both halves, so we are left with AC+AB (OPTION D)
For the problem, we are asked t o calculate the volume of the cylindrical vase and it will represent the amount of water that Mary should pour. For a cylinder, the volume is calculated as follows:
V = πr²l
V = π(3)²(8)
<span>V = 226.19 in³ water needed</span>
