Several science students used the same design when constructing a bridge out of balsa wood. they each tested the bridge's weight capacity using cups filted with sand. the weight capacities were recorded, and the results follow a normal distribution curve. the mean of the weighs is 19.6 lb with a standard deviato n of 1.3 lb. which weight is greater than 70% of the data?

We are given:

We have to find the weight which is greater than 70% of the data.

The z value which corresponds to 70% of the area on the standard normal table is:

Now, the weight  which is greater than 70% of the data is:

rounded to two decimal places

Therefore, the weight which is greater than 70% of the data is 20.28 lb

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %