Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=
Answer:
Step-by-step explanation:
45
Step-by-step explanation:
3x+x=180
4x=180
x=45
Hope this helps hit the crown :D
Answer:
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Step-by-step explanation:
Given that :
The mean grams by a bag filling machine μ = 417
Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting
The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.
Hence,
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Answer:
1.) y= -1/3x+3
2.) y= 3x-2
3.) -1/2x+0
Step-by-step explanation:
slope intercept
