The park behind James's house used to have a bike trail that was 12.347 kilometers long. Last year, the trail was reduced to 9.4
2 answers:
Answer:
The difference in the lengths of the old and the new bike trails is 2.915 kilometers.
Step-by-step explanation:
The park behind James's house used to have a bike trail that was 12.347 kilometers long.
Last year, the trail was reduced to 9.432 kilometers to make space for a meditation garden.
So, the difference in lengths is = kilometers
Therefore, the difference in the lengths of the old and the new bike trails is 2.915 kilometers.
You might be interested in
Answer:
A.) About 90
Step-by-step explanation:
From the given table, the biologist tagged 150 trout. Also, he recaptured a total of 100 trouts of which 60 were recaptured with tags.
Thus, let the trout population in the lake be represented by x,
=
Cross multiply to have;
100 × x = 60 × 150
100x = 9000
Divide both sides by 100,
x =
= 90
Therefore, the trout population is about 90 in the lake.
Answer:
we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi
Step-by-step explanation:
Let's first define the hypothesis;
Null hypothesis: H0: μ = 4.7
Alternative hypothesis: Ha: μ ≠ 4.7
We have;
Sample size; n = 110
Sample mean; x¯ = 4.6
Variance: σ² = 0.64
Standard deviation; σ = √0.64 = 0.8
Formula for test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (4.6 - 4.7)/(0.8/√110)
z = -0.1/0.0763
z = -1.31
From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;
P-value = 0.190196
The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7
σ μ
