Answer:
x = -6
Step-by-step explanation:
<3<3<3<3<3<3<3
The correct answer is: [B]: " 3 " .
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Note:
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The question asks:
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If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents:
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(xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" .
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The answer is: "m = 3" ; which is: Answer choice: [B] .
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Answer: Required mean would be 15.
Step-by-step explanation:
Since we have given that
Number of girls G= 75
Number of boys B= 100
Probability that girls smoke = P₂ = 0.20
Probability that girls don't smoke = P'₂=1-0.20=0.80
Probability that boys smoke = P₁ = 0.30
Probability that boys don't smoke = P'₁=1-0.30=0.70
We need to find the mean of the sampling distribution of the difference in the sample proportion of girl smokers and boys smokers.
So, it becomes,
![E[P_1-P_2]=E[P_1]-E[P_2]\\\\=B\times P_1-G\times P_2\\\\=100\times 0.30-75\times 0.20\\\\=30-15\\\\=15](https://tex.z-dn.net/?f=E%5BP_1-P_2%5D%3DE%5BP_1%5D-E%5BP_2%5D%5C%5C%5C%5C%3DB%5Ctimes%20P_1-G%5Ctimes%20P_2%5C%5C%5C%5C%3D100%5Ctimes%200.30-75%5Ctimes%200.20%5C%5C%5C%5C%3D30-15%5C%5C%5C%5C%3D15)
Hence, required mean would be 15.
1 second = 5.8x10^6 mg
60 seconds = 5.8x10^6 x 60 = 3.48x10^8 mg
(i.e 3.48x10^8 mg/minute)
1000 mg = 1 g
3.48x10^8 mg = 3.48x10^8/1000 = 3.48x10^5 g
Therefore, 5.8x10^6 mg/s = 3.48x10^5 g/min
Answer:
140
Step-by-step explanation:
Suppose,
x drinks were sold for 2$
y drinks were sold for 5$
therefore, x+y = 250....( 1 )
and 2x+5y = 830......( 2 )
multiply equation ( 1 ) with 2,
2x+2y = 500......( 3 )
Subtract equation ( 3) from (2)
3y = 330
or, y = 110
so, x = 140
so, 140 drinks were sold for 2$
