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3 years ago

Write the following value in scientific notation: 0.00000000004589.

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

3 0

Answer:

4.589×10to the power of -11

Step-by-step explanation:

DanielleElmas [232]3 years ago

3 0

Answer:

489 × 10-11.5

Step-by-step explanation:

In order to write number 0.00000000004589 in scientific notation we need to move the decimal point from its current location (black dot) to the new position (red dot).

0.00000000004.589

So, we need to move decimal point 11 places to the left.

This means that the power of 10 will be negative 11.

Now we have that the

Number part = 4.589 and

Exponent part = -11

So, the solution is:

489 × 10-11.5

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A: {71,73,79,83,87} B:{57,59,61,67}

Jobisdone [24]

Answer:

$\frac{3}{5}$ .

Step-by-step explanation:

We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.

We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.

So there are 4 prime number in set A and total numbers are 5.

$P(\text{Prime number from A})=\frac{4}{5}$

We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.

So there are 3 prime number in set B and total numbers are 4.

$P(\text{Prime number from B})=\frac{3}{4}$

Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.

$P(\text{Prime number from A and B})=\frac{4}{5}\times \frac{3}{4}$

$P(\text{Prime number from A and B})=\frac{1}{5}\times \frac{3}{1}$

$P(\text{Prime number from A and B})=\frac{3}{5}$

Therefore, the probability that both numbers are prime would be $\frac{3}{5}$ .

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3 years ago

Victoria has a dog. The dog's tail is 2 inches long. Every year his tail grows by 5%. What will be his tail's length next year?

hodyreva [135]

So you have to do 2×5 because the dogs tail is 2 inches long and is grows 5 inches or something every year. So 5×2=10

8 0

4 years ago

A substantial portion of inventory owned by Prentiss Sporting Goods was recently destroyed when the roof collapsed during a rain

kkurt [141]

Answer:

a) $150,225

b) $450,675

c) $152,425

d) $17,700

Step-by-step explanation:

Given:

Beginning inventory = $204,300

Purchases to date of storm = $398,800

Sales to date of storm = $600,900

The value of undamaged inventory counted = $134,725

Prentiss’s gross margin percentage = 25% of sales

a) Now,

Gross margin = Sales × Gross margin percentage

= $600,900 × 25%

= $150,225

GROSS MARGIN ( DOLLARS)= 113506

b) Cost of goods sold = Sales - Gross margin

= $600,900 - $150,225

= $450,675

c) Ending inventory

= Beginning inventory + purchase - Cost of goods sold

= $204,300 + $398,800 - $450,675

= $152,425

d) Amount of lost inventory

= Ending inventory - Undamaged inventory

= $152,425 - $134,725

= $17,700

5 0

3 years ago