To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. weld strength is measured as the force required to break the weld. suppose the specifications state that mean strength of welds should exceed 100 lb/sq in; the inspection team decides to test \(h_{0}\) ; \(\mu=100 versus h_{a}\) ; \(\mu> 100. \) explain why it might be preferable to use this \(h_{a}\) rather than \(\mu < 100.\)

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

What is sin 7x/4 ? i need on this urgent trig

Find the volume of the described solid.the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x.a) 441b) 147c) 864d) 882