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4 years ago

14

Solve the given equation. ( 1/5 )( 4/7 )x = 32/490 (x is and exponent) x= _____

1 answer:

Vikki [24]4 years ago

5 0

X= 4/7 because it would be

4/35x=16/245

which would be 28x=16

simplified it would be 4/7

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Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha

const2013 [10]

Answer:

(a) The value of <em>a</em> is 53.35.

(b) The value of <em>a</em> is 38.17.

(c) The value of <em>a</em> is 26.95.

(d) The value of <em>a</em> is 25.63.

(e) The value of <em>a</em> is 12.06.

Step-by-step explanation:

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

$f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}$

Here, 22 < X < 55.

(a)

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

$P(X\leq a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.95\times 33=[x]^{a}_{22}\\\\31.35=a-22\\\\a=31.35+22\\\\a=53.35$

Thus, the value of <em>a</em> is 53.35.

(b)

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

$P(X< a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.49\times 33=[x]^{a}_{22}\\\\16.17=a-22\\\\a=16.17+22\\\\a=38.17$

Thus, the value of <em>a</em> is 38.17.

(c)

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

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.85=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.85\times 33=[x]^{55}_{a}\\\\28.05=55-a\\\\a=55-28.05\\\\a=26.95$

Thus, the value of <em>a</em> is 26.95.

(d)

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

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.89=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.89\times 33=[x]^{55}_{a}\\\\29.37=55-a\\\\a=55-29.37\\\\a=25.63$

Thus, the value of <em>a</em> is 25.63.

(e)

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

$P(1.83\leq X\leq a)=\int\limits^{a}_{1.83} {\frac{1}{33}} \, dx \\\\0.31=\frac{1}{33}\cdot \int\limits^{a}_{1.83} {1} \, dx \\\\0.31\times 33=[x]^{a}_{1.83}\\\\10.23=a-1.83\\\\a=10.23+1.83\\\\a=12.06$

Thus, the value of <em>a</em> is 12.06.

7 0

3 years ago

The expression 3 x 7 - 4x8+2 is equivalent to which of the following?

ELEN [110]

Answer: b

explanation: only choice B equals -9 like the given equation.

8 0

4 years ago

The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $364.00. What was it worth

Olin [163]

F it rose 10% that means that it is now worth 110% of what it was a year ago. So set up an equation: 297 = 110% of x297 = 1.1 x270 = x So it was worth $270 a year ago.

4 0

4 years ago

Solve the system of equations.

Alchen [17]

Answer:

x = 10, y = 5

Step-by-step explanation:

Substitute the second equation into the x value of the first equation.

-4x + 11y = 15

-4(2y) + 11y = 15

-8y + 11y = 15

3y = 15

y = 5

Now substitute the y value into an original equation.

x = 2y

x = 2(5)

x = 10

5 0

4 years ago

Round to the nearest tenth: 45.349

Alik [6]

Answer:

45.3

Step-by-step explanation:

If you would like to explore further into math you can check out my insta (learntionary) I do posts tips on math stuff thanks

7 0

3 years ago

Read 2 more answers