Answer: x = -7
Step-by-step explanation:
2(6 + 3x) + 1 = - 5 + 3(x - 1)
(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)
12 + 6x + 1 = - 5 + 3x + - 1
( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )
6x + 13 = 3x - 8
6x + 13 - 3x = 3x - 8 - 3x
3x + 13 = -8
3x + 13 - 13 = -8 - 13
3x = -21
3x/3 -21/3
X = -7
Answer:
-0.6309
Step-by-step explanation:
Using the change of base formula,
Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3
Log 0.5 = -0.3010
Log3 = 0.4771
Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309
Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> =
=
= <u>1.7</u>
My answer may not be correct but I feel pretty confident. The answer is $549.08