The flow rate y (m3/min) in a device used for air-quality measurement depends on the pressure drop x (inchof water) across the device’s filter. Suppose that for x values between 5and 20, the two variables are related according to the simple linear regression model with true regression line y = −.12 + .095x. a. What is the expected change in flow rate associated with a 1-in. increase in pressure drop? Explain. (3 marks)b. What change in flow rate can be expected when pressure drop decreases by 5 in.? (1 mark)c. What is the expected flow rate for a pressure drop of 10 in.? A drop of 15 in.? (2 marks)d. Suppose 휎=.025 and consider a pressure drop of 10 in. What is the probability that the observed value of flow rate will exceed .835? That observed flow rate will exceed .840? (4 marks)e. What is the probability that an observation on flow rate when pressure drop is 10 in. will exceed an observation on flow rate made when pressure drop is 11 in.?

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

600,000,000,000, or 6e14

step-by-step explanation:

step-by-step explanation:

there's the chart