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Solnce55 [7]
3 years ago
11

The sum of seven and eight times a number is 159.what is the number ?

Mathematics
1 answer:
Westkost [7]3 years ago
8 0
The answer to this question is 10.6

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If gasoline cost 1.25 euros per liter, how much will it cost to drive 250 kilometers in dollars?
ankoles [38]
Wouldn't that depend on how many miles you get to gallon? 
5 0
3 years ago
Let X be a random variable with probability mass function P(X = 1) = 1 2 , P(X = 2) = 1 3 , P(X = 5) = 1 6 (a) Find a function g
Goryan [66]

The question is incomplete. The complete question is :

Let X be a random variable with probability mass function

P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6

(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.

(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)

Solution :

Given :

$P(X=1)=\frac{1}{2}, P(X=2)=\frac{1}{3}, P(X=5)=\frac{1}{6}$

a). We know :

    $E[g(x)] = \sum g(x)p(x)$

So,  $g(1).P(X=1) + g(2).P(X=2)+g(5).P(X=5) = \frac{1}{3} \ln (2) + \frac{1}{6} \ln(5)$

       $g(1).\frac{1}{2} + g(2).\frac{1}{3}+g(5).\frac{1}{6} = \frac{1}{3} \ln (2) + \frac{1}{6} \ln (5)$

Therefore comparing both the sides,

$g(2) = \ln (2), g(5) = \ln(5), g(1) = 0 = \ln(1)$

$g(X) = \ln(x)$

Also,  $g(1) =\ln(1)=0, g(2)= \ln(2) = 0.6931, g(5) = \ln(5) = 1.6094$

b).

We known that $E[g(x)] = \sum g(x)p(x)$

∴ $g(1).P(X=1) +g(2).P(X=2)+g(5).P(X=5) = \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$

   $g(1).\frac{1}{2} +g(2).\frac{1}{3}+g(5).\frac{1}{6 }= \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$$

Therefore on comparing, we get

$g(1)=e^t, g(2)=2e^{2t}, g(5)=5e^{5t}$

∴ $g(X) = xe^{tx}$

7 0
2 years ago
A calculator costs $32.00. if the sales tax is 6%, what is the total price?
xz_007 [3.2K]
Here is how to solve the given problem above.
Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps. 
3 0
3 years ago
Read 2 more answers
4-(3x+3)=4x
Pavlova-9 [17]

Answer:

4-(3x+3)=4x

4-3x-3=4x

4-3=4x+3x

1=7x

x=1/7

or

4-(3x+3)=4x

4-3x-3=4x

-3x-4x=-4+3

-7x=-1

x=-1/-7

-/-=+

so -1/-7 it equal to 1/7

you dont want negative x

x=1/7

6 0
2 years ago
Read 2 more answers
Solve y-4 = 3x+5y for y
kramer

Answer:

y=3x+4/5

Step-by-step explanation:

y-4+4=3x+5y+4

y=3x+5y+4

5y/5=3x+4/5

y=3x+4 over 5

3 0
2 years ago
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