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PolarNik [594]
3 years ago
8

20 POINTS , ALSO GIVING BRAINLIEST , PLEASE HURRY !!

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

.5236

Step-by-step explanation:

Formula for sphere volume:

V = \frac{4}{3} \pi r^{3}

substiture 0.5 for r:

\frac{4}{3} \pi 0.5^{3} = .5236

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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
tatyana61 [14]

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}}}}

Where;

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σ₂ = 1.5

We set our α level at 0.05

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We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

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Therefore;

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

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Answer:

B

Step-by-step explanation:

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