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:
Claire traveled for 9 days.
Step-by-step explanation:
Given:
Total Distance traveled = 701 miles
Distance traveled each day = 80 miles
Distance traveled on last day = 61 miles
We need to find the number of days Claire traveled.
Solution:
Let the number of days Claire traveled be denoted by 'd'.
Now we can say that;
Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.
framing in equation form we get;
Now Subtracting both side by 61 using Subtraction Property of Equality we get;
Now Dividing both side by 80 we get;
Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.
<span>x -3y=6
3y = x - 6
y = x/3 - 2
answer
</span>slope-intercept form of the equation: y = x/3 - 2
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
<h3>What is a polynomial?</h3>
A polynomial is is a function that contains an algebraic term which is raised to a particular power.
- If it is raised to power 1 it is linear
- If it is raised to power 2 it is quadratic
- If its is raised to power 3 it is cubic
- If it i raised to power 3 it is quartic
Now we have;
4x³ + 5x² – 18x + 9
Thus we can write;
4x³ – 3x² + 8x² – 6x – 12x + 9
Using the factors;
x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)
Therefore;
(4x – 3)(x² + 2x– 3)
(4x – 3)(x² + 3x – x – 3)
(4x – 3)(x + 3)(x – 1)
The factors are therefore; (4x – 3), (x + 3) and (x – 1)
Learn more about polynomials:brainly.com/question/21334281
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