Answer:
The initial temperature of the object was 37.6
Step-by-step explanation:
we have
where
f(t) represent the temperature of the object in degree Celsius
t is the time in minutes
Find the value of the constant C
we have the ordered pair (4,35)
substitute in the equation and solve for C
Find the initial value of the object
we know that
The initial temperature is the value of f(t) when the value of t is equal to zero
so
For t=0
therefore
The initial temperature of the object was 37.6 (I not include units)
To do this, multiply 9 by 18. This will show you how much they all weigh if there are 18 and each is 9 pounds.
The answer is 162.
Hope this helps!
Answer:150
Step-by-step explanation:
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.44.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that 
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
Rounding up
A sample of 179 is needed.
