Answer:
-6
Step-by-step explanation:
Answer:
T(m) = (140 - 5m)
Step-by-step explanation:
Given that :
Initial temperature, a = 140 F
Rate of decrease = 5 F per minute
Given a certain Number of minutes, m
Temperature, T after m minutes ;
Using the formula :
Final temperature = Initial temperature - 5*number of minutes)
T(m) = (140 - 5m)
Given that ; m = 10
T(10) = 140 - 5(10)
T(10) = 140 - 50
T(10) = 90 F
Answer:
X[bar]= 115
Step-by-step explanation:
Hello!
Every Confidence interval to estimate the population mean are constructed following the structure:
"Estimator" ± margin of error"
Wich means that the intervals are centered around the sample mean. To know the value of the sample mean you have to make the following calculation:
![X[bar]= \frac{Upper bond + Low bond}{2}](https://tex.z-dn.net/?f=X%5Bbar%5D%3D%20%5Cfrac%7BUpper%20bond%20%2B%20Low%20bond%7D%7B2%7D)
![X[bar]= \frac{115.6+114.4}{2}](https://tex.z-dn.net/?f=X%5Bbar%5D%3D%20%5Cfrac%7B115.6%2B114.4%7D%7B2%7D)
= 115
Since both intervals were calculated with the information of the same sample, you can choose either to calculate the sample mean.
I hope it helps!
Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
