In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation of 5.5 days. Thirty-four percent of gestation periods are longer than how many days, rounded to the nearest whole number?

286

Step-by-step explanation:

Given :

Mean (m) = 284

Standard deviation (s) = 5.5

P(Z > x) = 0.34

According to the standardized formula :

Zscore = (x - m) / s

Uaing the Z probability calculator ; The Z value at P(Z > x) = 0.34 is 0.412

Hence, Zscore = 0.412

Zscore = (x - m) / s

0.412 = (x - 284) / 5.5

5.5 * 0.412 = x - 284

2.266 = x - 284

x = 2.266 + 284

x = 286.266

x = 286 (nearest whole number)

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

it’s the first one your welcome