15pts!

How do I break apart 9×5

sergij07 [2.7K]

Try three times three times 5. wait let me check for you

3 0

4 years ago

Find the slope of the function f ( x ) = 3 - 2 x , by the definition of limit.

musickatia [10]

Answer:

the slope is -2 $\lim_{n \to \0}( f(x+h)-F(x)) /h \\\\ \lim_{n \to \0} (3-2(x+h)-(3-2x))/h\\ f(x+h)= 3-2(x+h) \\f(x)=3-2x\\ \\\lim_{n \to \0} (3-2x-2h-3+2x)/h\\\\ \lim_{n \to \0} -2h/h\\ \\ \lim_{n \to \0} -2\\=-2\\\\In all limits, you have to put n goes to 0 (zero)$

Step-by-step explanation:

8 0

3 years ago

According to data from the American Medical Association, 10% of us are left handed. If three people are randomly selected, find

satela [25.4K]

Answer:

For each person, there are only two possible outcomes. Either they are left handed, or they are not. The probability of a person being left-handed is independent from other people. So we use the binomial probability distribution to solve this question.

0.1% probability that they are all left-handed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left handed, or they are not. The probability of a person being left-handed is independent from other people. So we use the binomial probability distribution 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.

10% of us are left handed.

This means that $p = 0.1$

If three people are randomly selected, find the probability that they are all left-handed.

This is P(X = 3) when n = 3. So

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

$P(X = 3) = C_{3,3}.(0.1)^{3}.(0.9)^{0} = 0.001$

0.1% probability that they are all left-handed.

3 0

3 years ago

PLEASE. HELP. SERIOUSLY PLEASE.

Crazy boy [7]

Answer:

x value would be 2

Step-by-step explanation:

The computation is shown below:

Given that

x^2 + 2x = 8

x^2 + 2x - 8 = 0

x^2 + 4x - 2x - 8 = 0

x(x + 4) - 2(x + 4) = 0

(x - 2) (x + 4) = 0

So, x value would be 2

x - 2 = 0

x = 2

6 0

3 years ago

Calculate y as a function of x when dy/dx = 4x3 + 3x2 - 6x + 5

PtichkaEL [24]

Answer:
y = x⁴ + x³ - 3x² + 5x + C

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Separable differential equations such as these ones can be solved by treating dy/dx as a ratio of differentials. Then move the dx with all the x terms and move the dy with all the y terms. After that, integrate both sides of the equation.

$\begin{aligned}
\dfrac{dy}{dx} &= 4x^3 + 3x^2 - 6x + 5 \\
dy &= (4x^3 + 3x^2 - 6x + 5) dx \\
\int dy &= \int (4x^3 + 3x^2 - 6x + 5) dx 
\end{aligned}$

In general (understood that +C portions are still there),

$\int x^{m} = \dfrac{x^{m+1}}{m+1}$

Note that ∫dy = y since it is ∫1·dy = ∫y⁰ dy = y¹/(0+1) = y
For the right-hand side, we use the sum/difference rule for integrals, which says that

$\int \big[f(x) \pm g(x)\big]\, dx = \int f(x)\,dx \pm \int g(x) \, dx$

Applying these concepts:

$\begin{aligned} 
 \int dy &= \int (4x^3 + 3x^2 - 6x + 5) \, dx \\
y &= \int 4x^3\,dx + \int 3x^2 \, dx - \int 6x\, dx + \int 5\, dx \\
&= \frac{4x^4}{4} + \frac{3x^3}{3} - \frac{6x^2}{2} + 5x + C \qquad \text{(only one $C$ is needed)} \\
&= x^4 + x^3 - 3x^2 + 5x + C
\end{aligned}$

The answer is y = x⁴ + x³ - 3x² + 5x + C

6 0

3 years ago