Answer:
Step-by-step explanation:
Let the two numbers be x and y
<u>Condition # 1:</u>
<h2>x + y = 24 ---------------------(1)</h2><u>Condition # 2:</u>
<h2>x = 2y - 6 ----------------------(2)</h2>Putting Equation # 2 in Equation # 1
2y - 6 + y = 24
3y - 6 = 24
Adding 6 to both sides
3y = 24 + 6
3y = 30
Dividing both sides by 3
y = 10
Putting y = 10 in Equation # 2
x = 2y - 6
x = 2(10) - 6
x = 20 - 6
x = 14
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
Check the picture below.
so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.
