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inn [45]
2 years ago
12

Find the area of the composite figure.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

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The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
Maksim231197 [3]

Answer:

y=x+5/12

good luck...

3 0
2 years ago
Please help
Aleks04 [339]

Answer:

<h2>35 × (3 + m)</h2>

Step-by-step explanation:

The distributive property:

<em>a × (b + c) = a × b + a × c</em>

105 = 35 × 3

35m = 35 × m

105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)

6 0
3 years ago
Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X &gt; 10) b. P(X &gt; 20) c
GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0

The value of E (X) is 10.

The parameter λ is:

\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10

(a)

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

P(X

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

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

P(X

Take natural log on both sides.

ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30

Thus, the value of x is 30.

7 0
3 years ago
Give the Solution to the System of
Illusion [34]

Answer:

Step-by-step explanation:

-10 g

3 0
2 years ago
What multiples into 4 and adds up to 5
vampirchik [111]

Answer:

4 and 1

4 * 1 = 4

4 + 1 = 5

6 0
3 years ago
Read 2 more answers
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