Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Here:
we can use 1 sample proportion test to check the claim of John
H₀ : p₀ = 0.4
H₁ : p₀ ≠ 0.4
Test statistic is
z = p - p₀/√p₀(1-p₀)n
Let X be the random variable denoting the number of heads.
Now p = X/n
= 8/50
= 0.16
p₀ = 0.4
1-p₀ = 1-0.4
= 0.6
z = -3.464
since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Learn more about Null hypothesis here:
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The answer is X = 12.
This is how to get that answer: the formula for the intersecting secant and tangent outside the circle is a^2 = b(b+c) If you use the numbers in the pic you will get x^2 = 9(9+7) so the number after the equal sign will be 144, so x^2 = 144. To undo the square youre gonna use the square root on both sides, so you have X = 12.
Step-by-step explanation:
Remember when expanding radicals,

When expanding radicals into two radicals, we don't let our radicand have two negative answers.


We don't do this



Answer:

Step-by-step explanation:
1. Expand by distributing sum groups.
2. Expand by distributing terms.

3.Expand by distributing terms.

4. Remove parentheses.

5. Collect like terms.

6. Simplify.

Thus. the answer is,

Answer:
33.16ft
Step-by-step explanation:
Sin 56° = x / 40ft
0.829 = x / 40ft
x = 40ft * 0.829
x = 33.16ft