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4 years ago

Why is the product of two rational numbers always rational?

2 answers:

7 0

Let a/b and c/d represent two rational numbers. This means a, b, c,and d are INTEGERS , and b and d are not 0. The product of the numbers is ac/bd , where bd is not 0. Both ac and bd are INTEGERS , and bd is not 0. Because ac/bd is the ratio of two INTEGERS, the product is a rational number.

$\frac{a}{b}\cdot \frac{c}{d}= \frac{a\cdot c}{b\cdot d}=\frac{e}{f},\,\,\,\,e,f\in\cal{Z}$

LenKa [72]4 years ago

4 0

please give the other guy brainliest his answers were great.

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vfiekz [6]

Answer:

After 2 years the account worth will be $3225

Step-by-step explanation:

Initial Deposit (Principal Amount P) = $3000

Rate r = 4.1% = 0.041

Compounded quarterly = n = 4

Time t = 2 years

We need to find future value A

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

Putting values in formula and calculating A

$A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.041}{4})^{4*2} \\A=3000(1+0.01025)^{8} \\A=3000(1.01025)^8\\A=3000(1.085)\\A=3225$

So, After 2 years the account worth will be $3225

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3 years ago

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4 years ago

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3 years ago

Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy

GarryVolchara [31]

Answer: a) 0.9332, b) 0.8944

Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.

The z score is gotten by making use of the formulae below

Z = x - u / σ

Where x = sample mean, u = population mean and σ = population standard deviation.

For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56

By substituting the parameters, we have that

z ≤ 56 = 56 - 38/ 12

z ≤ 56 = 18/12

z ≤ 56 = 1.5

To get the probabilistic value, we check the normal distribution table.

The table I'm using will be giving me probabilistic value towards the left of the area.

From the table, p ( z ≤ 56) = 0.9332.

Z >23 = 23 - 38/ 12

Z >23 = - 15/ 12

Z >23 = - 1.25

The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.

Hence Z >23 = 1 - Z<23

From the table, Z<23 = 0.1056.

Z >23 = 1 - 0.1056

Z >23 = 0.8944

4 0

3 years ago

Read 2 more answers