Answer:
y = 7.5
Step-by-step explanation:
given y is directly proportional to
then the equation relating them is
y = k
← k is the constant of proportion
to find k use the condition y = 75 , x = 100 , then
75 = k
= 10k ( divide both sides by 10 )
7.5 = k
y = 7.5
← equation of proportion
Answer:d
Step-by-step explanation:
12,000 x 6.5% = 780 divided by 2 =390
Answer with explanation:
Given : The heights of a certain population of corn plants follow a normal distribution with mean
and standard deviation 
a) Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence, 34.73% of the plants are between 135 and 155 cm tall.
b) Sample size : n= 16
Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%
Answer:
convert the expression for N into logs
evaluate those logs using a log table
thus determine log N
calculate antilog of log N
Thus,
log
N
=
(
647
⋅
32
×
0.00000147
8.473
×
64
)
=
log
(
647
⋅
32
)
+
log
(
0.00000147
)
−
log
(
8.473
)
−
log
(
64
)