Answer:
Step-by-step explanation:
<h3>Given:</h3>
- PT║VW and SR is transversal
- m∠PQR = 36°
<h3>To find:</h3>
<h3>Solution</h3>
a) ∠SQT is vertical with ∠PQR and therefore has equal measure
b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure
c) m∠PRV = m∠PRQ as marked equal
- m∠PRV +m∠PRQ + m∠QRW = 180° as straight angle
- m∠PRV*2 = 180° - 36°
- m∠PRV*2 =144°
- m∠PRV = 144°/2
- m∠PRV = 72°
Answer:
the students must have sold 15 magazines
he will have 36 left
Step-by-step explanation:
Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :
Alternate hypothesis :
Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be
So, the p value would be 0.154.
Hence, the p-value is 0.154.
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
Add the absolute values of the ordered pairs.
