The answer to the question is a
Answer:
Reflection
Step-by-step explanation:
Answer:
(a) P(X<51) = 50.0%
(b) P(X<45) = 15.1%
(c) P(X>45) = 84.9%
Step-by-step explanation:
Mean weight (μ) = 51 pounds
Standard deviation (σ) = 5.8 pounds
The z-score for any given weight, 'X', is given by the following expression;
a) P(X<51)
Since 51 pounds is exactly the mean weight, 50% of the dogs weight more than 51 pounds while 50% weight less than 51 pounds.
P(X<51) = 50.0%
b) P(X<45)
The z-score for X=45 is:
A z-score of -1.034 is equivalent to the 15.06-th percentile in a normal distribution. Therefore:
P(X<45) = 15.1%
c) P(X>45)
P(X>45) = 100% - P(X<45) = 100% - 15.1%
P(X>45) = 84.9%
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
Answer:
x = -4
Step-by-step explanation:
2(2 − y) = 3x
Let y=8
2(2-8) = 3x
2 (-6) = 3x
-12 = 3x
Divide each side by 3
-12/3 = 3x/3
-4 = x