I believe that none would be irrational; an irrational number can't have terminating or repeating decimals. 3/8= .375, (56/8)^4=7^4=2,401, 36^4/4^4=6561, and .19 repeating is a repeating decimal.

4 0

3 years ago

Cards are selected from a standard deck of 52, the results are recorded in the table. what is the empirical probability of not s

Cerrena [4.2K]

The table have the following results:

Hearts – 7

Diamonds – 4

Clubs – 8

Spades – 5

There is a total of 24

The question is asking for the probability of not selecting a heart.

So we need to add the probabilities of the diamonds, clubs, and spades since these suits are different from hearts.

So = 4 + 8 + 5 = 17

And we have a total of 24 cards

<span>Therefore the probability is 17/24. </span>

7 0

2 years ago

A company sells widgets. The amount of profit y made by the company is related to the selling price of each widgets x by the giv

SCORPION-xisa [38]

Answer:

The maximum amount of profit is 32

Step-by-step explanation:

Given

$y=-x^2+64x-292$

Required

Determine the maximum profit

This is calculated by calculating the maximum of the function.

A quadratic function is of the form

$y = ax^2 + bx + c$

and its maximum is:

$Max = \frac{-b}{2a}$

So: $y=-x^2+64x-292$

We have that

$a = -1$

$b = 64$

$c = -292$

$Max = \frac{-b}{2a}$

$Max = \frac{-64}{2 * -1}$

$Max = \frac{-64}{-2}$

$Max = 32$

<em>Hence, the maximum amount of profit is 32</em>

8 0

2 years ago

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