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3 years ago

12

Two standard number cubes (i.e., dice) each with faces numbered 1-6 are rolled. What is the probability that the product of the

numbers on the top faces will be greater than 16?

1 answer:

xeze [42]3 years ago

3 0

16= 4*4
you need to roll two 4s out of presumably 36 possibilities so 2/36 since you need one 4 and a second 4. check the total possibilities tho

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A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the

cricket20 [7]

Answer: a) $E(x)=\dfrac{-5945}{(30x+11)(5x+200)}$ , b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

$D(x)=\dfrac{5x+200}{30+11}$

So, derivative w.r.t x would be

$D'(x)=\dfrac{5(30x+11)-30(5x+200)}{(30x+11)^2}\\\\D'(x)=\dfrac{150x+55-150x-6000}{(30x+11)^2}\\\\D'(x)=\dfrac{5945}{(30x+11)^2}$

As we know that

$E(x)=\dfrac{-xD'(x)}{D(x)}\\\\\\E(x)=\dfrac{\dfrac{-(-)5945x}{(30x+11)^2}}{\dfrac{5x+200}{30x+11}}\\\\\\E(x)=\dfrac{5945x}{(30x+11)(5x+200)}$

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

$E(2)=\dfrac{5945\times 2}{(30(2)+11)((5(2)+200))}\\\\E(2)=\dfrac{11890}{(60+11)(10+200)}\\\\E(2)=\dfrac{11890}{71\times 210}\\\\E(2)=\dfrac{11890}{14910}\\\\E(2)=0.7975$

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 = $price\times quantity$

Hence, a) $E(x)=\dfrac{-5945}{(30x+11)(5x+200)}$ , b) 0.7975, demand is inelastic, c) increase.

4 0

2 years ago

A square coffee table has an area of 196 square inches. What is the length of one side of coffee table?

MrRa [10]

I'm pretty sure the answer would be 14 inches

6 0

2 years ago

Can someone list the different functions in a graph? At least 5 please, thank you

leva [86]

Answer:

Linear Function: f(x) = mx + b.

Square Function: f(x) = x2

Cube Function: f(x) = x3

Square Root Function: f(x) = √x.

Absolute Value Function: f(x) = |x|

Reciprocal Function. f(x) = 1/x.

(IS THIS RIGHT? HAHAHAH SORRY)

3 0

2 years ago

Read 2 more answers

What is the answer to 20=5x 10y?

My name is Ann [436]

I hope this helps you 5x=20 x=4 10x=10×4=40

5 0

2 years ago

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ represent the angle's varying m

Alexxandr [17]

Answer:

0.546 , -4.71

Step-by-step explanation:

Given:

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.

Here, Slope = tan\theta

If θ = 0.5

Then, Slope = tan(θ) = tan(0.5) = 0.546

If θ = 1.78

Then, Slope = tan(θ) = tan(1.78) = - 4.71

The expression (in terms of θ) that represents the varying slope of the terminal ray.

Slope = m = tanθ, where θ is the varying angle

7 0

3 years ago