The population of bluegills (type of fish) has a mean length of 152.09mm and a standard deviation of 19.62mm. What is the probability that a random sample of 25 fish has a mean length of 140mm or shorter

0.001035

Step-by-step explanation:

Mean (m) = 152.09 mm

Standard deviation (σ) = 19.62 mm

Sample size (n) = 25

Length being 140mm or shorter (x) : x ≤ 140

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

Zscore = (140 - 152.09) / (19.62/√25)

Zscore = (140 - 152.09) / (19.62/5)

Zscore = −3.081039

P(Z ≤ −3.08) = 0.001035

the anwser is d) 75°

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180