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.
The amount of interest Molly will earn after 5 years on a deposit of 
compounded annually over 5 years is 
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
where
Substituting the available values into the formula and solving
The interest Molly will earn after 5 years is
Therefore, the amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
Learn more about compound interest here: brainly.com/question/21270833
Answer:
8⁵
Step-by-step explanation:
you count how many times 8 is being multiplied by itself, and that's the number you put as the exponent
Answer:
degree 24.7
Radian 0.43
Step-by-step explanation:
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
