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

Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;

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
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Answer:
It is a possible explanation of events using prior knowledge
Step-by-step explanation:
Answer:
y=-4x+5
Step-by-step explanation:
The value of 4 is 4000, this is because it is in the thousands column (units,tens,hundreds,thousands etc)
A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.
A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.
The area of a <u>circle</u> can be determined by the given <em>expression:</em>
Area = π
where r is the <u>radius</u> of the circle and π = 
So, the area of the <u>shaded</u> region can be determined as:
Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle
Area of the<em> shaded </em>region = π
- π
= π (46.24 - 20.25)
=
x 25.99
= 
<u>Area</u> of the <em>shaded</em> region = 81.683
Thus the<u> appropriate</u> answer to the question is option D. 81.65.
For more clarifications on the area of a circle, visit: brainly.com/question/3747803
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