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jekas [21]
2 years ago
5

Can someone aswer this Please

Mathematics
1 answer:
IRISSAK [1]2 years ago
4 0

Answer:

9 . 5/3

10. - 5/11

................................

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professor190 [17]
I think it’s g(0)=0, g(1)=1, and g(-1)=1
6 0
3 years ago
Read 2 more answers
Identity Structure find the rule for each function table.
Andreyy89

Answer:

The rule for given table is y = 4x - 1.

Step-by-step explanation:

From the given table it is noticed that the function passing through the points (1,3), (2,7) and (3,11).

If a line passing through the two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-3=\frac{7-3}{2-1}(x-1)

y-3=\frac{4}{1}(x-1)

y-3=4(x-1)

y-3=4x-4

Add 3 both sides.

y=4x-4+3

y=4x-1

Therefore the rule for given table is y = 4x - 1.

6 0
3 years ago
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Using what you know about similar figure, solve for X
ale4655 [162]
Since the scale factor is 3:1 you can multiply the length of the side of the triangle to the right by 3 to make the ratio 3:3

the equation would be:
2x+5 = 45

subtract 5 from both sides
2x = 40

divide both sides by 2

x = 20

hope this helps

3 0
3 years ago
The distance between flaws on a long cable is exponentially distributed with mean 12 m.
Elden [556K]

Answer:

(a) The probability that the distance between two flaws is greater than 15 m is 0.2865.

(b) The probability that the distance between two flaws is between 8 and 20 m is 0.3246.

(c) The median is 8.322.

(d) The standard deviation is 12.

(e) The 65th percentile of the distances is 12.61 m.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the distance between flaws on a long cable.

The random variable <em>X</em> is exponentially distributed with mean, <em>μ</em> = 12 m.

The parameter of the exponential distribution is:

\lambda=\frac{1}{\mu}=\frac{1}{12}=0.0833

The probability density function of <em>X</em> is:

f_{X}(x)=0.0833e^{-0.0833x};\ x\geq 0

(a)

Compute the  probability that the distance between two flaws is greater than 15 m as follows:

P(X\geq15)=\int\limits^{\infty}_{15}{0.0833e^{-0.0833x}}\, dx\\=0.0833\times \int\limits^{\infty}_{15}{e^{-0.0833x}}\, dx\\=0.0833\times |\frac{e^{-0.0833x}}{-0.0833}|^{\infty}_{15}\\=e^{0.0833\times 15}\\=0.2865

Thus, the probability that the distance between two flaws is greater than 15 m is 0.2865.

(b)

Compute the  probability that the distance between two flaws is between 8 and 20 m as follows:

P(8\leq X\leq20)=\int\limits^{20}_{8}{0.0833e^{-0.0833x}}\, dx\\=0.0833\times \int\limits^{20}_{8}{e^{-0.0833x}}\, dx\\=0.0833\times |\frac{e^{-0.0833x}}{-0.0833}|^{20}_{8}\\=e^{0.0833\times 8}-e^{0.0833\times 20}\\=0.51355-0.1890\\=0.32455\\\approx0.3246

Thus, the probability that the distance between two flaws is between 8 and 20 m is 0.3246.

(c)

The median of an Exponential distribution is given by:

Median=\frac{\ln (2)}{\lambda}

Compute the median as follows:

Median=\frac{\ln (2)}{\lambda}

             =\farc{0.69315}{0.08333}\\=8.322

Thus, the median is 8.322.

(d)

The standard deviation of an Exponential distribution is given by:

\sigma=\sqrt{\frac{1}{\lambda^{2}}}

Compute the standard deviation as follows:

\sigma=\sqrt{\frac{1}{\lambda^{2}}}

   =\sqrt{\frac{1}{0.0833^{2}}}\\=12.0048\\\approx 12

Thus, the standard deviation is 12.

(e)

Let <em>x</em> be 65th percentile of the distances.

Then, P (X < x) = 0.65.

Compute the value of <em>x</em> as follows:

\int\limits^{x}_{0}{0.0833e^{-0.0833x}}\, dx=0.65\\0.0833\times \int\limits^{x}_{0}{e^{-0.0833x}}\, dx=0.65\\0.0833\times |\frac{e^{-0.0833x}}{-0.0833}|^{x}_{0}=0.65\\-e^{-0.0833x}+1=0.65\\-e^{-0.0833x}=-0.35\\-0.0833x=-1.05\\x=12.61

Thus, the 65th percentile of the distances is 12.61 m.

4 0
3 years ago
Please help!!!!! I’ve been stuck for like hours
BARSIC [14]

10^2 + b^2=15^2\\\\100+b^2=225\\\\b^2=125\\\\b =\sqrt{125}\\\\b \approx \boxed{11.2}

6 0
2 years ago
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