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Dominik [7]
3 years ago
12

BRAINLIEST ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

Step-by-step explanation:

1) ∠1 + 31 +69 = 180   {Angle sum property of triangle}

∠1 + 100 = 180

∠1 = 180 -100

∠1 = 80

2) Exterior angle equals the sum of opposite interior angles.

∠2 + 45 = ∠1

∠2 + 45 = 80

∠2 = 80 - 45

∠2 = 35

3)Exterior angle equals the sum of opposite interior angles.

∠3 + 47 = ∠1

∠3 + 47 = 80

∠3 = 80 - 47

∠3 = 33

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2.829

Step-by-step explanation:

ita the closest to 2.83

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2 years ago
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
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Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

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For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

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The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

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