Today, the waves are crashing onto the beach every 5.7 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.7 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is
b. The standard deviation is
c. The probability that wave will crash onto the beach exactly 3.4 seconds after the person arrives is P(x = 3.4) =
d. The probability that the wave will crash onto the beach between 1.4 and 3.6 seconds after the person arrives is P(1.4 < x < 3.6) =
e. The probability that it will take longer than 4.24 seconds for the wave to crash onto the beach after the person arrives is P(x > 4.24) =
f. Suppose that the person has already been standing at the shoreline for 1.5 seconds without a wave crashing in. Find the probability that it will take between 3.1 and 4.1 seconds for the wave to crash onto the shoreline.
g. 77% of the time a person will wait at least how long before the wave crashes in?
seconds. h. Find the minimum for the upper quartile.
seconds.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

write out the polynomial, with leading coefficient 1:

y = 1 (x+2)^1 (x-7)^1 (x-5)^2

next time, share the answer choices.   .

measurement of the swimming pool is given as = 7 yards 4.79 feet

first we will convert this to yards only.

1 foot = 0.33 yards

so, 4.79 feet = yards

so total yards are = yards

now we will convert this in meters.

1 yard = 0.914 meters

8.580 yards = meters

0.842 m = 0.842*100 = 84.2 cm

this becomes 7 meters and 84.2 cm

hence, the pool is 7 meters and 84.2 cm wide.