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svetlana [45]
3 years ago
8

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

-79.78 (really stinking cold)

Step-by-step explanation:

Solving the equation will go like this:

5/9(F - 32) = -62.1

multiply both sides by 9 to get rid of the fraction

5 (F - 32) = -558.9

divide both sides by 5

F - 32 = -111.78

add 32 to both sides

F = -79.78

I checked the math twice.

Let me know if you have questions.

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The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d
Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
  2. ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

6 0
3 years ago
Which of the following represents the factored form of f(x) = x3 − 81x? f(x) = x(x − 9)2 f(x) = (x + 9)(x − 9) f(x) = x(x + 9)(x
Anna [14]

Answer:

f(x) = x(x + 9)(x − 9)

Step-by-step explanation:

4 0
3 years ago
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If DF = 9x-39, find EF.
otez555 [7]

DF=DE+EF\\\\DF=9x-39\\DE=47\\EF=3x+10\\\\\text{substitute}\\\\9x-39=47+3x+10\\9x-39=3x+57\ \ \ |-3x\\6x-39=57\ \ \ \ |+39\\6x=96\ \ \ \ |:6\\x=16\\\\\text{put the value of x to the expression}\ 3x+10\\\\EF=3(16)+10=48+10=58

Answer: EF = 58

7 0
2 years ago
Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
Find the length of the third side of the right triangle
Maurinko [17]

Answer:

9

Step-by-step explanation:

        2       2

b + 8   = 17

b + 16 = 34

34 - 16 = 18

18 ÷ 2 = 9

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