Juan makes a measurement in a chemistry laboratory and records the result in his lab report. the standard deviation of students' lab measurements is σ = 10 milligrams. juan repeats the measurement 3 times and records the mean x⎯⎯⎯ of his 3 measurements. (a) what is the standard deviation of juan's mean result? (that is, if juan kept on making 3 measurements and averaging them, what would be the standard deviation of all his x⎯⎯⎯′s? ) (b) how many times must juan repeat the measurement to reduce the standard deviation of x⎯⎯⎯ to 2.5? (a) 5.77 (b)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

b i think

step-by-step explanation:

not really sure

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).