Explanation;
2x=256
2x=2 exponent 8
x=8
4x-1=64
x-1=4³
x-1=3
x=3+1
x=4
8x-2=16
x-2=8²
x-2=2
x=2+2
x=4
3x-2=81
x-2=3⁴
x-2=4
x=4+2
x=6
3²x=9 exponent 5x-4
2x=5x-4
4=5x-2x
4=3x(<em>divide</em><em> </em><em>bo</em><em>th</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em><em>)</em>
<em>x</em><em>=</em><em>4</em><em>/</em><em>3</em>
Answer:
39.10%
Step-by-step explanation:
The given timeout distributions are:
Exp (1/10), Exp (1/12)
The equation to use is the following:
F (x) = 1 - e ^ (- a / b); x> 0
So the probability is:
P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679
P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865
So:
P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)
Replacing:
P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136
However:
P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)
P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910
It means that the probability is 39.10%
Answer:
5.8 cm²
Step-by-step explanation:
Area =½ b * h
=(4.6 ÷ 2 ) * 2.5
The result of the given expression is -6
<h3>Solving expressions</h3>
Given the expression below
−3/2⋅4⋅1/2(10−8)
Expand to have;
-3/2 * 4 * 1/2(2)
-3/2 * 4 * 1
-3/2 * 4
This is expressed as;
-12/2
-6
Hence the result of the given expression is -6
Learn more on equation here:brainly.com/question/2972832
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1) answer is 8 because 8 + 7 = 15
2) answer is 8 because 8 + 18 = 26
3) answer is 25 because 25 - 6 = 19
4) answer is -1 because -1 - 3 = -4