3*60 = 180 minutes
80/180 = 0.44
1-0.44 = 0.56
it was a 56% decrease in commute time
Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.
Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610

Significance level for 85% confidence : 
By z-table critical two tailed z-value : 
Put all values in (1) , we get




Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = 
Answer:
y = 28
Step-by-step explanation:
y = mx + b
plug in values
y = (6)(3) + (10)
multiply
y = 18 + (10)
add
y = 28
You are correct. The answer is B.) They are congruent because they are corresponding angles.
Nice job! Hope this helped :)