Identify the range of the function shown in the graph

Response:

9.55 minutes

Step-by-step breakdown:

x hours to reach the river

0.25-x hours for the return trip, as 15 minutes equals 0.25 hr.

to the river 40 mph * x hours =40x miles

from the river 70 mph (0.25-x) hours=17.5-70x

these two equations are equivalent

40x=17.5-70x

110x=17.5

x=17.5/110=0.159 hours

9.55 minutes

Answer:

The null hypothesis is stated as H₀: μ = 100

The alternative hypothesis is Hₐ: μ < 100

Evidence suggests that the average location in Wade Tract is 100

Step-by-step explanation:

We define our null hypothesis as H₀: μ = 100, where the average location of trees in the Wade Tract amounts to 100.

Our alternative hypothesis thereby is stated as Hₐ: μ < 100 at a 95% confidence level.

Proposed average location in Wade Tract is μ = 100.

The sample mean computes to = 99.74.

The standard deviation is s = 58.

The sample size n = 584.

Using the t-test formula yields the following results:

Consequently, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We calculate = -1.65

Substituting values into the t-test formula gives t = -0.108338, producing a p-value of p = 0.4569, which exceeds α, hence we accept the null hypothesis, indicating that there is adequate statistical evidence supporting the average location of Wade Tract = 100.

Answer: B. Accurate but unreliable. Step-by-step explanation: A study is deemed "reliable" if it yields consistent results upon repeated trials. When the experiment is performed numerous times, it produces the same outcome each time. On the other hand, an experiment is considered "accurate" when it correctly reflects the right outcomes through proper procedures and methods. In this instance, the research evaluating a new screening method for early detection of prostate cancer yielded results that were "accurate but unreliable" because the test results were not consistent.

The same device is used to measure safetrack in the same manner.

Given that x y is parallel to z w and x z serves as a transversal that crosses both x y and z w, it follows that ∠ x z w equals ∠ z x y, which are alternate interior angles because x y is parallel to z w. Also, v is where x z intersects y w, therefore ∠ x v y is congruent to ∠ z v w due to vertically opposite angles. Consequently, this yields triangle Δ x y v being similar to triangle Δ z w v based on the angle-angle similarity.