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Tanzania [10]
3 years ago
12

Is (4•6)^3 equivalent to 4•6^3

Mathematics
2 answers:
Vinil7 [7]3 years ago
5 0

Answer:

No, (4•6)^3 is not  equivalent to 4•6^3

Step-by-step explanation:

(4•6)^3

4•6^3

Let's solve each one at a time, starting with (4•6)^3

(4•6)^3

Multiply inside the parenthesis first

24^3

Multiply 24 by itself 3 times (Exponents)

24 * 24 * 24

13,824

Now let's solve  4•6^3

4•6^3

Exponents come before multiplication in the order of operations, so multiply 6 by itself 3 times.

4 * (6x6x6)

4 * 216

864

Now we can compare the solutions

13,824 > 864

No, 13,824 is not equivalent to 864.

Hope this helps :)

Pani-rosa [81]3 years ago
4 0
No because the exponent on 6^3 is 216 and if you use (4•6)^3 then you’ll have to multiply the quotations and then Square it to the third
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In the number 707B47.B is a prime number.If the number is rounder off to 3sf its value is 708000 what is the biggest value of B
zhenek [66]
<h3>Answer:  7</h3>

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

7 0
3 years ago
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

population mean \mu = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

\mathbf{\sigma_p =0.01732}

7 0
3 years ago
An apple farm is taking stock of its inventory for the season. Each year, about eighteen percent of the collected apples must be
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Answer:

  9840

Step-by-step explanation:

1 - 18% = 82% survive, so the number available for sale is ...

  0.82 × 12,000 = 9,840

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4 years ago
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