Answer:
9 • sqrt(15)
Step-by-step explanation:
Answer: 1,230 Dollars
Finn had a job babysitting his neighbors' kids that paid $8 an hour and
he made between $120 and $272 (inclusive) every week.
If x is the hours he worked in a week and y is the money he made in a
week, write the domain and range of the function as compound
inequalities.
Answer:60 I think
Step-by-step explanation: 6x10= 60
Answer:
28.27 cm/s
Step-by-step explanation:
Though Process:
- The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
- the radius
- Punch is being poured into the bowl
- The height at which the punch is increasing in the bowl is
- the exposed area is a circle, (since the bowl is a hemisphere)
- the radius of this circle can be written as
- what is being asked is the rate of change of the exposed area when the height
- the rate of change of exposed area can be written as .
- since the exposed area is changing with respect to the height of punch. We can use the chain rule:
- and since the chain rule above can simplified to -- we can call this Eq(1)
Solution:
the area of the exposed circle is
the rate of change of this area can be, (using chain rule)
we can call this Eq(2)
what we are really concerned about is how changes as the punch is being poured into the bowl i.e
So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:
and rearrage the formula so that a is the subject:
now we can derivate a with respect to h to get
simplify
we can put this in Eq(1) in place of
and since we know
and now we use substitute this . in Eq(2)
simplify,
This is the rate of change of area, this is being asked in the quesiton!
Finally, we can put our known values:
from the question
Answer:
Z = = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
= 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z =
therefore Z = = 1.6
Therefore we reject the Null hypothesis