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:
415 300 213 3400 4500 = 8415
4500 450 415 300 215 3400 = 9280
8828 times 100 divided by 9280 =9 5.1293103448
95.1 percent (simplified)
Step-by-step explanation: income is income rescieved, id.k if income taxes is given to you but taxes is usually taken away from you, college savings, retirement saving and emergency funds are income, and living expenses is for living and you use it on what ever you want. mainly food.
Step 1 : Find the difference [ 891 - 876 = 15 ]
Step 2 : Determine the percentage
Answer: 15% from last year
:)
Answer:
The correct answer is:
by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove
by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,

Therefore,
or you can say,
2. Common angle between
is 
In a nutshell, in
,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of
:
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say
.
<em>Since both triangles are congruent</em>, the sides
and
are also congruent.
Hey there! :D
-2(k-2)≥-20
Distribute the -2. Multiply -2 by k and -2.
-2k+4≥-20
Subtract 4 on both sides.
-2k≥-24
Divide by -2 and flip the sign, since you are dividing by a negative.
k≤12
I hope this helps!
~kaikers