Statistics and probability: If the glucose level is above 160mg per dl one hour after a sugary drink, Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with the mean being 145mg/dl and a standard deviation of 11mg/dl. If a single glucose measurement is made, what is the probability that Sheila is diagnosed with gestational diabetes?

0.0863

Step-by-step explanation:

Given that:

The mean =145

The standard deviation = 11

To find P(X ≥ 160) :

Z = (x - μ)/σ

Z = 160 - 145/ 11

Z = 1.364

From the standard normal z table

Thus;

P(X ≥ 160) =  1- P(Z < 1.364)

P(X ≥ 160) = 1 - 0.9137

P(X ≥ 160) = 0.0863

answer

point o.

step-by-step explanation:

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.