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IrinaVladis [17]
2 years ago
13

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

Median = 3

Mean = 4

Required

The sequence of hours worked each day

<em>See attachment for options</em>

From the question, we understand that:

Median = 3

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

(a)

\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}

\bar x = \frac{20}{5}

\bar x = 4

(d)

\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}

\bar x = \frac{15}{5}

\bar x = 3

Option (a) is true, because it has:

Median = 3

Mean = 4

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Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

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6 0
2 years ago
A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the
posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 \times 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

5 0
2 years ago
WILL GIVE BRAINLIST IF ANSWER IS CORRECT!
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Step-by-step explanation:

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What is the scientific notation of 8,795,000
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Read 2 more answers
Okay that it 5^4x-13=125
Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

    1                    

 (((—)4) • x) -  13) -  125  = 0

    5                    

STEP

2

:

Equation at the end of step

2

:

    1                

 ((—— • x) -  13) -  125  = 0

   54                

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

         13     13 • 625

   13 =  ——  =  ————————

         1        625  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625)     x - 8125

——————————————  =  ————————

     625             625  

Equation at the end of step

3

:

 (x - 8125)    

 —————————— -  125  = 0

    625        

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

          125     125 • 625

   125 =  ———  =  —————————

           1         625  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

(x-8125) - (125 • 625)     x - 86250

——————————————————————  =  —————————

         625                  625  

Equation at the end of step

4

:

 x - 86250

 —————————  = 0

    625  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-86250

 ——————— • 625 = 0 • 625

   625  

Now, on the left hand side, the  625  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-86250  = 0

Solving a Single Variable Equation:

5.2      Solve  :    x-86250 = 0

Add  86250  to both sides of the equation :

                     x = 86250

One solution was found :

x = 86250

                 

7 0
2 years ago
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