Answer:
P(X<1200) is 0.8212
Step-by-step explanation:
Test statistic (z) = (X - mean)/sd
X is score of a tester = 1200
mean = 1497
sd = 322
z = (1200 - 1497)/322 = -297/322 = -0.92
The cumulative area of the test statistic is the probability that X<1200. The cumulative area is 0.8212.
Therefore, P(X<1200) = 0.8212
Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:

Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:

To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:

Divide both sides by 10

Since both exponents have the same base we can set the exponents equal to eachother and solve for x:

Multiply both sides by 3 to isolate x on the left side

Multiply both sides by 4 to remove fraction

Subtract 3x to isolate x on the left side

Plug x into one of our original equations

Solve

Answer:
k = -144
Step-by-step explanation:
Answer:
A) 2.58
B) 1.96
C) 1.65
Step-by-step explanation:
A hypothesis used to test that

against the alternatives
not equal to 10
if null hypothesis is true, then distribution of test statics follow
for two sided alternatives hypothesis
, then P value is
(1)
a)significance level
from 1 eq we get
Therefore
FROM Z TABLE
B) significance level
from 1st equation we get
Therefore
FROM Z TABLE
C) significance level
from 1 eq we get
Therefore
FROM Z TABLE
Answer:
= 64 - 4 =60
Step-by-step explanation: