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2 years ago

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number

Mathematics

1 answer:

Tasya [4]2 years ago

6 0

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

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Help please I will mark brainlest

rodikova [14]

Answer:

$5\sqrt{7}$

Step-by-step explanation:

$\frac{30\sqrt{14} }{6\sqrt{2} }$

Cancel out 6 in both numerator and denominator.

$\frac{5\sqrt{14} }{\sqrt{2} }$ Rationalize the denominator of $\frac{5\sqrt{14} }{\sqrt{2} }$ by multiplying the numerator and denominator by $\sqrt{2}$ .

$\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} }$

The square of $\sqrt{2}$ is 2

Factor 14=2 × 7. Rewrite the square root of the product $\sqrt{2x7}$ as the product of square roots $\sqrt{2}\sqrt{7}$ .

$\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2}$

Multiply $\sqrt{2}$ and $\sqrt{2}$ to get 2.

$\frac{5x2\sqrt{7} }{2}$

Cancel out 2 and 2.

$5\sqrt{7}$

Hope it helps and have a great day! =D

7 0

2 years ago

Read 2 more answers

What's a word problem for 10x=2

ohaa [14]

Answer: Divide each side by '10'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3

Step-by-step explanation:

8 0

3 years ago

What is the rate of change between (1,15) (3,45)?

Ksivusya [100]

Answer:

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

3 0

2 years ago

Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company

erastovalidia [21]

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

This means that $n = 16$

They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that $p = 0.5$

What is the probability that no more than 3 of the entry forms will include an order?

At most 3 including an order, which is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0$

$P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002$

$P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018$

$P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105$

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

6 0

2 years ago

Find the product. Simplify your answer x^2-y^2/6*12/x-y

Ratling [72]

= x^2 - y^2/6 * 12/(x-y)
= 6x^2 -y^2 * 72/(x-y)
= 6x^2(x-y) -y^2(x-y) * 72
= 6x^3 - 18x^2 -xy^2 + y^3 * 72
= 432x^3 - 1296x^2 -72xy^2 + 72y^3

5 0

3 years ago

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number​

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number