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EleoNora [17]
3 years ago
9

When an alligator is born it is about 8 inches long. each year they grow about 12 inches.how old is an alligator is that is 116

inches long?
Mathematics
1 answer:
MrMuchimi3 years ago
7 0
An alligator that is 116 inches long would be 9 years old
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Determine the angle of rotation<br><br> please help. and provide explanation
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Answer:

The angle of rotation is 180 degrees clockwise . from the center point of 0,0

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Which list shows all the factors of 36
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1,2,3,4,6,9,12,18,36
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Fill in the blank to make the expression a perfect square:
tigry1 [53]

Answer:

64

Step-by-step explanation:

So here you're just completing the square. the equation you gave is simply: n^2+16n+c where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2

The reason for this, is because whenever you write a binomial as a perfect square it's in the form: (x+b)^2 and this binomial expands out to become: x^2+2bx+b^2

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which simplifies to:

(x+\frac{b}{2})^2=x^2+bx+(\frac{b}{2})^2

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So we would need to add (16/2)^2 = 8^2 = 64

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7 0
1 year ago
Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh
kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon  residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = \sqrt{n*p_1*q_1}  = \sqrt{n*p_1*(1-p_1)} = \sqrt{11545*0.08*(1-0.08)} = 29.15

σ₂ = \sqrt{n*p_2*q_2}  = \sqrt{n*p_2*(1-p_2)}= \sqrt{4691*0.088*(1-0.088)} = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have  

z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }

The test statistics can be computed by

     

t₀ = \sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} } =      1104.83

c from tables is   P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

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3 years ago
find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ... select one: a. an = -15 9(n 1) b. an = -15 x 9
valkas [14]
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3 years ago
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