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3 years ago

5

Is the number 75.082106 rational or irrational

1 answer:

kow [346]3 years ago

6 0

A number is Rational if it is possible to write it as a ratio of 2 numbers.

<span>75.082106 can be written as </span> $\frac{75,082,106}{1,000,000}$ ,

by multiplying both numerator and denominator by 1,000,000.

Answer: Rational

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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

How do you solve 44 ÷ 0.5

jeka57 [31]

Answer:

88

Step-by-step explanation:

44 / 0.5 = 44*2 = 88

5 0

3 years ago

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a basketball player looks directly at the rim that is 10 feet high. the angle of elevation from her eye level, which is 6feet ab

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Her horizontal distance to the rim satisfies the ratio
(10 ft -6 ft)/distance = tan(25°)
so the distance is
distance = (4 ft)/tan(25°) ≈ 9 ft

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3 years ago

Jalisas mother bought 24 cookies at the grocery store. There are 6 people in jalisas family. After dinner they ate some of the c

viva [34]

The family ate 7 eights of the cookies.

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2 years ago

Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick

love history [14]

Let
x:adult tickets
y:youth tickets
We have
2x+3y=134
3x+2y=146
Rewritting
6x+9y=402
-6x -4y=-292
adding
5y=110
Clearing y:
y=110/5
y=22
Answer:
the price of a youth ticket is 22$

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2 years ago