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3 years ago

When adding two rational

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

Answer:

Obviously!! positive is your answer. thanks!!

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What is the inverse of f(x) = 2x − 8?

s2008m [1.1K]

To find the inverse, interchange the variables and solve for y.
f^-1 (x) = 4 + x/2

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3 years ago

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Explain how to write 3/10 as a division expression

ArbitrLikvidat [17]

Answer:

3 divided by 10

Step-by-step explanation:

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3 years ago

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

3 years ago

Investors buy a studio apartment for 120000 of this amount they have down payment of 24000 their down payment is what percent of

Yakvenalex [24]

Answer:

1. 20%

2. 40%

Step-by-step explanation:

To find the percent of the total payment that the down payment is we have to you use the following equation:

$\frac{part}{whole} * 100 = percent$

Lets start plugging things into the equation.

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

$\frac{24,000}{120,000} * 100 = 20%$

So we see that 24,000 is 20% of the total purchase price!

Let's do this for the next question:

$\frac{48,000}{120,000} * 100 = 40$

48,000 is 40% of the 120,000 total cost!

<em>Hope this helps!</em>

<em />

7 0

3 years ago

What is the area of a regular hexagon if a side is 30

sergij07 [2.7K]

<h3>Answer:</h3>

$1350\sqrt{3}$ square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is $A=\frac{3\sqrt{3}*s^2}{2}$ , where $A$ is the area and $s$ is the side length.

Substitute in the side length. $A=\frac{3\sqrt{3}*30^2}{2}$
Simplify the exponent. $A=\frac{3\sqrt{3}*900}{2}$
Multiply. $A=\frac{2700\sqrt{3}}{2}$
Divide. $A=1350\sqrt{3}$

$1350\sqrt{3}$ is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

4 0

3 years ago