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Radda [10]
3 years ago
8

What is the sum of the geometric series i =i

Mathematics
1 answer:
tatiyna3 years ago
4 0
Answer: is B


Because:
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Step-by-step explanation:

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Given: m || n and p is a transversal
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Answer:

Option 3: transitive property

Step-by-step explanation:

The previous statements are

2. ∠2 ≅ ∠3  ⇒ 2. ver. ∠s theorem

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5. m∠3 = m∠7 ⇒ 5. def. of congruent

So, The previous proved statement to make use of the transitive property reason or proof

∴ 6. m∠2 = m∠7  ⇒   6. transitive property

Note: the transitive property states that: If a = b and b = c, then a = c.

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3 years ago
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An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 37 type K batteries and a sample of 58
inna [77]

Answer:

Step-by-step explanation:

Hello!

You want to test two samples of batteries to see is the mean voltage of these battery types are different.

<u>Sample 1 </u>(type K)

n₁= 37

sample mean x₁[bar]= 8.54

standard deviation S₁= 0.225

<u>Sample 2 </u>(Type Q)

n₂= 58

sample mean x₂[bar]= 8.69

standard deviation S₂= 0.725

1. The test hypothesis are:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

2. I'll apply the Central Limit Theorem and approximate the distribution of the sample means to normal so that I can use an approximate Z statistic for this test.

Z:<u> (x₁[bar] - x₂[bar]) - (μ₁ - μ₂)</u> ≈ N(0;1)

        √ (S₁²/n₁) + (S₂²/n₂)

Z_{H0}= (8.54 - 8.69) / [√ (0.225²/37) + (0.725²/58)]

Z_{H0}= -1.468 ≅ -1.47

3. This is a two tailed test, so you'll have two critical values

Z_{\alpha/2} = Z_{0.025} = - 1.96

Z_{1 - \alpha/2} = Z_{0.975} = 1.96

You'll reject the null hypothesis if Z_{H0} ≤ -1.96 or if Z_{H0} ≥ 1.96

You'll not reject the null hypothesis if -1.96 < Z_{H0} < 1.96

4.

Since the value Z_{H0} = -1.47 is in the acceptance region, the decision is to not reject the null hypothesis.

I hope it helps!

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