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3 years ago

6

"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"

1 answer:

spayn [35]3 years ago

5 0

Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

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Round 0.74 to the nearest tenth

Nimfa-mama [501]

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Step-by-step explanation:

if the second number was over 5 then, you would have rounded it to .8, but it was only 4 so you round down.

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How many meters are there in 33 km?

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3 years ago

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2 years ago

Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds

Cerrena [4.2K]

Answer:

$Area = 51.68yd^2$

Step-by-step explanation:

Given

$h = 9yd$ -- height

$a = 2.5yd$ --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

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So, we have:

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3 years ago

According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

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3 years ago

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