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nasty-shy [4]
3 years ago
7

Ralph is an electrician. He charges an initial fee of $26, plus $31 per hour. If Ralph earned $119 on a job, how long did the jo

b take?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0


3 hours

You can turn this into an equation:

F = 26 + 31t
Where F is the money Ralph earned, and t is the number of hours he worked.

Plugging in the 119 for F, we get
119 = 26 + 31t

93 = 31t

3 = t

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A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs
sergey [27]

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

5 0
3 years ago
Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years
Mkey [24]

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

7 0
3 years ago
6 - 2/3 (x+5) = 4x solve algebraically for the exact value of x
luda_lava [24]

Answer:

x = 2

Step-by-step explanation:

1 - Rewrite

6 - 2/3 (x+5) = 4x

2 - Distribute

6 - 2/3x + 10/3 = 4x

3 - Combine like terms and get x alone

6 10/3 - 2/3x = 4x

           +2/3x  +2/3x

          6 10/3 = 4 2/3x

------------------------------- Convert to decimals

6.3333333333.... = 4.333...x

-------------------------------- Divide both sides by 4.33...x

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Hope this helps :)

3 0
3 years ago
Express the ratio below in its simplest form. 3 : 3 1 /2
slavikrds [6]

Answer:

<em>1/3÷1/2 </em>

<em> </em>

<em>1/3×2 (reciprocal on dividing) </em>

<em> </em>

<em>=2/3</em>

<h2>plzz give<u><em> brainiest</em></u></h2>

6 0
3 years ago
Read 2 more answers
Write an equation of the line using function notation. ​Horizontal; through (0,-2)
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Horizontal means the equation is y=something

(x,y)
(0,-2)
y=-2 is the equaiton
or
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7 0
3 years ago
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