Answer:
angle P congruent to angle N
Step-by-step explanation:
You know the angles at Q are congruent.
If angle P is congruent to angle N, then angle R is congruent to angle D.
Then both triangles are similar.
Answer:
Is not a possible solution
Because the number of hours can not be negative
Step-by-step explanation:
Let
x------> the number of hours in the dog walking job
y-----> the number of hours in the sales job
we know that
-----> inequality A
------> inequality B
Remember that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities
we have
------> Is not a possible solution
Because the number of hours can not be negative
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
2 hours 30 minutes
Step-by-step explanation:
Given data
speed= 110mph
distance travelled= 275miles
Required
the time of travel
We know that
Speed= distance/time
time= distance/speed
time= 275/110
time=2.5 hours
Hence the time is 2 hours 30 minutes
