Answer:
a. 81.5%
Step-by-step explanation:
The z-score for 400 is ...
Z = (X -μ)/σ = (400 -500)/100 = -1
The z-score for 700 is ...
Z = (700 -500)/100 = 2
The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...
(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A
Answer:
m = -9
Step-by-step explanation:
2m-10=44+8m
Subtract 2m from each side
2m-2m-10=44+8m-2m
-10 = 44+6m
Subtract 44 from each side
-10-44 = 44-44+6m
-54 = 6m
Divide by 6
-54/6 = 6m/6
-9 = m
The probability of obtaining a grid that does not have a 2-by-2 red square 16 2/3%
probability : The probability of an event can be calculated by means of probability formula via honestly dividing the favorable quantity of outcomes by way of the total variety of viable consequences.
<u>Step-by using-step clarification:</u>
<u>given that:</u>
form are both square or circle with both equally likely :
for this reason,
P(square) = half of ; P(circle) = half of
color are either blue, pink or inexperienced with the 3 equally likely ;
P(purple) = 1/3 ; P(green) = 1/three ; P(blue) = 1/three
chance of creating a inexperienced circle :
independent probability
P(green n circle) = p(inexperienced) * p(circle)
P(green n circle) = 1/3 * half of
P(green n circle) = 1/6
= 0.16666
(0.16666 * 100%) = 16.6666%
= 16 2/3%
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Answer:
the answer is 2% decreasing
Answer:
x = 2
Step-by-step explanation:
3(5x - 2) + 1 = 25 (Given)
3(5x) + 3(-2) + 1 = 25 (Distributive Property of Equality)
15x + -6 + 1 = 25 (Simplify)
15x - 5 = 25 (Simplify)
15x + 5 + 5 = 25 + 5 (Addition Property of Equality)
15x = 30 (Simplify)
(Division Property of Equality)
x = 2 (Simplify)
