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:
Step-by-step explanation:
The water has to be 100% - 60% = 40%
100% represents both water alcohol (I think that's what you meant).
40% of 250 = 40/100 * 250 = 10000/100 = 100 mL
So 100 mL = water
150 mL = alcohol.
Use a=
r^2 (r represents your radius of 4 feet)
(4^2)
Answer = 16
^2
<em><u>Answer:</u></em>
I'm assuming this is a <em>combining like terms</em> question, in which case the answer would be 6n - 3c.
<u><em>Step-by-step explanation:</em></u>
I'm guessing your teacher wants you to combine the like terms, and 1n plus 5n = 6n, minus 3c is the answer, which is 6n - 3c. If your teacher wanted you to solve for each variable, you can't do that because you don't have enough information, and there's an infinite number of solutions.
<em>Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your test. :)</em>
<h2><em>each student requires 9m² of floor </em></h2><h2><em>and given the no. of students is 50
</em></h2><h2><em>So the total area of the room is 9m²X50=450m²
</em></h2><h2><em>Given the length of the room is 25m
</em></h2><h2><em>so the Breadth is =450/25=18m
</em></h2><h2><em>
</em></h2><h2><em>each student requires 108m³ of space </em></h2><h2><em>so total volume of the room is 108X50=5400m³
</em></h2><h2><em>we know that : Volume=Area X h
</em></h2><h2><em> so⇒5400=450Xh
</em></h2><h2><em> ⇒h=5400/450= 12m</em></h2><h2><em /></h2><h2><em>HOPE IT HELPS (◕‿◕✿)</em></h2>
