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2 years ago

For a standard normal distribution, which of the following expressions must always be equal to 1?

1 answer:

4 0

Option D, For a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).

<h3>What is standard normal distribution?</h3>

A standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.

For a standard normal distribution, the total area of a curve is always equal to 1.

total area = P(z≤-a)+P(-a≤z≤a)+P(Z≥a) = 1

Thus, for a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).

Learn more about standard normal distribution here: brainly.com/question/4079902

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A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex.

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3 years ago

Read 2 more answers

I'm confused. Can someone help?

VARVARA [1.3K]

The polynomial w^2+18w+84 cannot be factored

The perfect square trinomial is w^2+18w + 81

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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.

w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9

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The polynomial y^2-10y+23 cannot be factored

The perfect square trinomial is y^2-10y + 25

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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.

If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)

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3 years ago

Which graph represents -9x+4y≤8?

yulyashka [42]

The awnser is C!!!!!

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2 years ago

78974 divided bye 21 with whole number and remeinder

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Step-by-step explanation:

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3 years ago

Use graphing to determine the solution to the system of linear equations

saw5 [17]

D) because a straight line has an infinite solution

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3 years ago