Aparticular fruit's weights are normally distributed, with a mean of 446 grams and a standard deviation of 17 grams. if a fruit is picked at random then 14% of the time, its weight will be greater than how many grams?

The weight corresponding to which weight will be larger than 14% of times equals 427.635 grams.

Step-by-step explanation:

We need to find the value of weight that corresponds to 14% of area under the normal distribution curve

It is given that

Using standard normal distribution tables we find value of Z corresponding to 14% of the area as -1.080

Thus using the standard equation

weight will be greater by 20 gm.

Step-by-step explanation:

to calculate the z score use negative z table for 0.14

P ( Z < x ) = 0.86

Value of z to the cumulative probability of 0.86 from normal table is 1.18

mean(μ) = 446 gm

standard deviation(σ) = 17 grams

hence the weight will be greatest by

               = 466 - 446 = 20 gm

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.

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step-by-step explanation: