A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.79 probability of functioning, and two have a probability of 0.83. What is the overall probability that the product will function properly?

0.430

Step-by-step explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.