Laura will go for a run during her lunch break if the temperature is between 6 0 ? f 60 ? f and 8 0 ? f 80 ? f. the average speed, s s, in miles per hour, at which laura runs is dependent on the temperature, t t, in degrees fahrenheit ( f ) ( ? f), at the start of her run and can be modeled by the function s ( t ) = 6 + 0 . 1 ( 8 0 ? t ) s(t)=6+0.1(80? t). the distance, d d, in miles, that she can run in 3 0 30 minutes given that her average speed is x x miles per hour can be modeled by the function d ( x ) = 0 . 5 x d(x)=0.5x. find an explicit expression that models the distance that laura runs in 3 0 30 minutes given that it is t ? f t ? f outside at the start of her run.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

i think you should think about the question and not look online.

x=0

step-by-step explanation:

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 %