Answer:
0.6 °C/min
Step-by-step explanation:
The relationship between rates and movement is ...
time = distance/speed
Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.
For the first half of the heating, the time required is ...
(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min
For the second half of the heating, the time required is ...
(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min
Then the total time is ...
((100/3) +125) min = (475/3) min
And the average rate of temperature increase is ...
total temperature change / total time
= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min
Answer:
A = 73°
Step-by-step explanation:
A + B = 180 because of alternating interior angles
Substitute each angle
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
Substitute A
A = 6x - 35
A = 108 - 35
A = 73
Hope this helps
Have a great day!
Answer:
e^-1.6094 = 0.2
Step-by-step explanation:
The inverse of In is e
If In 0.2 = -1.6094
Then e^-1.6094 = 0.2
Answer:
y= -4x + 3
Step-by-step explanation:
Because the slope is -4/1 which is the same as 4 and 3 is the y-intercept.
Here's the work;
We can just use the first two coordinates which are (0,3) and (1,-1) to get from the x-value 0 to 1 we add 1. and to get from the y-value 3 to -1 we subtract 4. Therefore the slope is -4 and the y- intercept (when x is zero) is 3. Pop that into slope intercept form to get y=-4x +3
Hope that helps and have a great day!
Answer:
We need an SRS of scores of at least 153.
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 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How large an SRS of scores must you choose?
This is at least n, in which n is found when 
. So
Rounding to the next whole number, 153
We need an SRS of scores of at least 153.
