D. there is a perfect association between the variables
Answer:
2p+2q
Step-by-step explanation:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Hope this helps:)
Answer:
(x^2 + 3)(x + 1).
Step-by-step explanation:
x^3 + x^2 + 3x + 3
= x^2(x + 1) + 3(x + 1)
= (x^2 + 3)(x + 1).
Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :


Since the alternative hypothesis
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-


b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528