Answer:
z=-2.09
Step-by-step explanation:
Given that a study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time.
Set up hypotheses as:

(left tailed test at 5% significance level)
Standard error = 0.043
Sample proportion p = 0.41
p difference = 
Test statistic Z = p diff/std error
= 
Z = -2.09
The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).
<h3>What is the Volume of a Square Pyramid?</h3>
Volume of square pyramid = 1/3(a²)h
Given the following:
- Volume of pyramid B = 3,136 in.³
- Base side length of pyramid A (a) = 18 in.
- Height of pyramid A (h) = 9 in.
Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³
3,136/972 × 100 = 323%
Pyramid B volume is 323% bigger than the volume of pyramid A.
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Y=5x-4
3y=15x-8
3(5x-4)=15x-8
15x-12=15x-8
??
Therefore, there is no solution.
For example, in the number 14,509, fourteen thousand five hundred and nine, 1 is in the ten thousands place, and zero is in the tens place.
1 4, 5 0 9
ten thousand^ ten^
Mmmmmmmmmmmfhchxjchxgxydychcydtdy