Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
Answer:
5190 g
Step-by-step explanation:
Calculate the volume:
28.0 cm × 4.90 cm × 3.60 cm = 493.92 cm³
Density is mass divided by volume:
D = M / V
Solving for mass:
M = D V
Substituting values:
M = (10.50 g/cm³) (493.92 cm³)
M = 5186.16 g
Rounding to three significant figures, the mass is 5190 g.
Answer:
Correlation.
Step-by-step explanation:
When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.
Answer:
we dont see the numbers
Step-by-step explanation:
Step-by-step explanation:
4x2 - 25b2
We can solve it by the squares so
(2x - 5b) (2x + 5b)
2) x2 - 81
The same case is here so
(x - 9) (x + 9)