# Select the statements that describe a normal distribution.The density curve is symmetric and bell‑shaped.The normal distribution is a continuous distribution.The normal distribution is a discrete distribution.The density curve is a flat line extending from the minimum value to the maximum value.Approximately 32% of values fall more than one standard deviation from the mean.Two parameters define a normal distribution—the median and the range.

The density curve is symmetric and bell‑shaped.

The normal distribution is a continuous distribution.

Approximately 32% of values fall more than one standard deviation from the mean.

Step-by-step explanation:

Lets take a look at each statement.

The density curve is symmetric and bell‑shaped.

True.

The normal distribution is a continuous distribution.

True, the value of the measure can be a decimal number, like 10.5, for example.

The normal distribution is a discrete distribution.

False. Either the distribution is continuous, or it is discrete. In this case, it is continuous.

The density curve is a flat line extending from the minimum value to the maximum value.

False. This statements describes the uniform probability distribution.

Approximately 32% of values fall more than one standard deviation from the mean.

True. 68% are within 1 standard deviation of the mean and 32% are more than one standard deviation from the mean.

Two parameters define a normal distribution—the median and the range.

False. It is the mean and the standard deviation.

## Related Questions

A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is \$4 per cubic foot. How much does it cost to rent one water tank?

226.08

Step-by-step explanation:

im pretty sure

What are the vertical and horizontal asymptotes of f (x) = StartFraction 2 x Over x minus 1 EndFraction?

B - Horizontal asymptote at y = 2, vertical asymptote at x = 1

Step-by-step explanation:

B on edge 2020

Step-by-step explanation:

A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At \$2 per plant, will a small increase in price cause the total revenue to increase or decrease?

Answer: a) , b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

So, derivative w.r.t x would be

As we know that

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

Since, 0.7975 < 1, so the demand is inelastic.

(c) At \$2 per plant, will a small increase in price cause the total revenue to increase or decrease?

The total revenue will also increase with increase in price.

As total revenue =

Hence, a) , b) 0.7975, demand is inelastic, c) increase.

This problem involves the calculation of the elasticity of a demand function using the derivative of the function. The elasticity is then used to analyze the effect on the total revenue when the price changes. The elasticity at a specific point is calculated and used for further analysis.

### Explanation:

For part (a), to find the elasticity of the demand function, we need to use the formula for the price elasticity of demand, which is E = (dQ/dX) * (X/Q). Here, dQ/dX is the derivative of the demand function concerning X. This needs to be calculated first. The value of E provides us with the measure of elasticity.

For part (b), when x = 2 we substitute this value into the formula for E to get the elasticity at x = 2.

For part (c), based on the concept of elasticity, if E > 1, the demand is said to be elastic and a price decrease will result in an increase in total revenue, and vice versa. If E < 1, the demand is said to be inelastic and a price decrease will result in a decrease in total revenue, and vice versa. So, after calculating E at x = 2, we can use it to determine the effect on total revenue.

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Quick!!! I need to do my homework
Solve: x - 1 < 3

x < 4

given x - 1 < 3 ( add 1 to both sides )

x < 4

or x ∈ ( - ∞, 4 ) ← in interval notation

Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

Root 25-2(3+4*(-2)) whole square​

-45.

Step-by-step explanation:

I am assuming you mean

√25 - 2(3 +4(-2))^2

= 5 - 2(3-8)^2

= 5 - 2 * (-5)^2

= 5 - 2*25

= -45.