Answer:Girls.
n1=128
x1=68
p1=x1/n1
=68/128
=0.5313
Boys
n2=122
x2=80 0.
p2=x2/n2 = 80/122 =0.6557
A) Appropriate test to compare the this is 2 sample proportion test
B) S. E. =0.0621
Test statistic
Z=(p1 - p2) /S. E.
=(0.5313 - 0.6557)/ 0.0621
Z= - 2.003
C) p-value = 0.0453
For 95%confidence interval we can say that,
0 would not be in the confidence interval.
Becouse p-value < 0.05
Hence we reject the null hypothesis that is proportions are equal.
Step-by-step explanation:
Answer:
Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Step-by-step explanation:
The question can be answered by either calculation or by graphing.
<u>Calculation:</u>
Set the equation to h = 20 feet and solve with the quadratic equation.
h= 4 + 33t - 16t^2
4 + 33t - 16t^2 = 20
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t - 16 = 0
I find solutions of 0.779 and 1.28 seconds.
<u>Graphing:</u>
See the attached graph.
The graph shows solutions of 0.783 and 1.28 seconds.
Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Answer:
x = 20°
Step-by-step explanation:
The angle vertical to 160° is 160° ( vertical angles are congruent )
Then x and 160 are same- side interior angles and sum to 180°
x + 160° = 180° ( subtract 160° from both sides )
x = 20°