Answer:
39/37 and 6/5
Step-by-step explanation:
To start, let's assume that 9-8x is positive (we will do this to get rid of the absolute value, but then check later). We get 9(9 - 8x) = 2x + 3, or 81 - 72x = 2x + 3, so 74x = 78 and x = 39/37. If we assume 9-8x is negative, the |9-8x| will turn into 8x-9, so we get 9(8x - 9) = 2x + 3, or 72x - 81 = 2x + 3 , so 70x = 84 and x = 6/5. If we plug the values back in, 9-8(39/37) needs to be positive, which works, and 9-8(6/5) needs to be negative, and this works, so the answers are 39/37 and 6/5.
Answer:
0.1137= 11.37%
Step-by-step explanation:
Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:
P(X>=1)= ~P(X=0) = 1
P(X>=1)=- P(X=0)
P(X>=1)=1 - (364/365)^44
P(X>=1)=1- 0.8862
P(X>=1)=11.37%
The answer for this will be letter d. C = 22π and A = 121π. This is computed using the formula of C= Dπ which is C = (22)π. On the other hand, the area of this circle is computed by using the formula A = <span>πr^2. This is computed as follows:
A = </span><span>πr^2
A = </span><span>π (22/2)^2
A = </span><span>π (11)^2
</span>A = 121<span>π</span><span>
</span>
1296(-1.75)= -2268;
1296(-1)= -1296;
1296(-0.25)= -324;
1296(0)=0;
1296(0.25)=324;
1296(0.5)=648;
1296(0.75)=972);
1296(1)=1296
the number of athletes who do not play basketball is 26.
Step-by-step explanation:
<u>DATA:</u>
Athletes surveyed = 107 athletes
<u>Athletes who play basketball</u>
Athletes who play baseball = 48 athletes
Athletes who don't play baseball = 33 athletes
Athletes who play basketball = athletes who play baseball + athletes who don't play baseball
Athletes who play basketball = 48 + 33
Athletes who play basketball = 81
<u>EQUATION:</u>
Total athletes = Athletes who play basketball + Athletes who don't play basketball
107 = 81 + x
x = 107 - 81
x = 26
Therefore, the number of athletes who do not play basketball is 26.
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