In a random sample of 85 automobile engine crank shaftbearings, 10 have a surface finish roughness that exceeds thespecifications. Does this data present strong evidence that theroughness proportion of crankshaft bearings exhibiting excesssurface roughness exceeds 0.10? (a) State and test the appropriate hypothesis using α =0.05.
(b) If it is really the situation that p = 0.15, how likely is itthat the test procedure in part (a) will reject the nullhypothesis?
(c) If p = 0.15, how large would the sample size have to be for usto have a probability of correctly rejecting the null hypothesis of0.9?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

i need a picture

step-by-step explanation: