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2 years ago

Which expressions are equivalent to 64 Superscript 1? Check all that apply.

Mathematics

2 answers:

GuDViN [60]2 years ago

6 0

Answer:

Which expressions are equivalent to 64^1? Check all that apply. Best Option A, C, F,

(A) 4^3

(F) 2^6 Hope this helps

Step-by-step explanation:

LenaWriter [7]2 years ago

3 0

Answer:

4³
8²
2⁶

Step-by-step explanation:

The factoring of 64 is ...

64 = 2·2·2·2·2·2

= (2·2)·(2·2)·(2·2) = 4·4·4 = 4³

= (2·2·2)·(2·2·2) = 8·8 = 8²

= 2·2·2·2·2·2 = 2⁶

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You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if

Tom [10]

The expected value of the game is $8.75.

----------------------

The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

The probability of spinning a 2 and a vowel is: $\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}$ .
Thus, $\frac{2}{32}$ probability of getting $50.

The probability of spinning 2 and a consonant is: $\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}$

Thus, $\frac{6}{32}$ probability of getting $25.

The probability of spinning 1 and a vowel is: $\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}$ .
Thus, $\frac{6}{32}$ probability of getting $5.

32 - (6 + 6 + 2) = 18, thus, $\frac{18}{32}$ probability of earning $0.

The expected value is:

$E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)$

$E = \frac{100 + 150 + 30}{32}$

$E = \frac{280}{32}$

$E = 8.75$

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

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