The level of dissolved oxygen (DO) in a stream or river is an important indicator of the water's ability to support aquatic life. An average DO level below 5 mg/L puts aquatic life at risk. A researcher wishes to know whether a particular stream is safe. She measures the DO level at 10 randomly chosen locations along a stream. Here are the results in milligrams per liter (mg/L): 5.50, 4.83, 4.40, 5.42, 6.38, 4.01, 4.66, 5.73, 5.55, 5.04 (a) State null and alternative hypotheses relevant to the research question. (b) Perform a test of the hypotheses from part (a), using a significance level of 10%. You may assume that the distribution of DO levels in the entire stream is approximately normal. Make sure to compute a test statistic and P-value, and make a conclusion in the context of the problem. (c) Given your conclusion in part (b), which kind of error - Type I or Type II - could you have made? Explain what this mistake would mean in the scientific context of the question.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

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step-by-step explanation: