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maks197457 [2]
2 years ago
9

What is the probability of rolling an odd number and spinning "B," given the sample space below? 1 2 3 4 5 6 A A1 A2 A3 A4 A5 A6

B B1 B2 B3 B4 B5 B6 C C1 C2 C3 C4 C5 C6 D D1 D2 D3 D4 D5 D6
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
6 0
There are 3 odd numbers out of 6 numbers and  7 B's out of  28  so

required probability =  3/6 * 7/28 = 1/2 * 1/4 = 1/8 Answer
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Expand 4x(7x-11)<br>expand 3x(7-5x)<br>Can someone help me with tge questions above?
melamori03 [73]
<span>(    7 x    -    11    )

<span>(   7   -   5x   )</span></span>
4 0
2 years ago
Read 2 more answers
On a certain​ route, an airline carries 7000 passengers per​ month, each paying ​$30. A market survey indicates that for each​ $
KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

R=p\cdot N=(30+x)(7000-x)

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

p=30+x=30+20=50

The maximum monthly revenue is:

R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000

3 0
2 years ago
Which graph most likely shows a system of equations with no solutions
Vladimir79 [104]

Answer:

The graph attached has a solution. As you can see, the parabolic function DOES intercept the line at (0, 3). Therefore, the solution to that sytem of equation is the point (0, 3).

A system of equations has no solutions when their graphs do NOT meet at any point.

7 0
2 years ago
Read 2 more answers
A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. Th
Kitty [74]

Answer:

a

   The  90%  confidence interval is  52561.13  <  \mu  < 57540.8

b

Confidence interval for the population men between <u>$52561.13</u>  up to <u>$57540.8</u>

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 25

     The  sample mean is  \= x  =  \$ 55,051

     The standard deviation is  \sigma  =  \$ 7,568

Given that the confidence level is  90% then the level of confidence is mathematically represented as

             \alpha  =  100 -90

              \alpha  = 10\%

             \alpha  = 0.10

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table the values is  

               Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically  represented as

               E =  Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }

substituting values

               E =  1.645 * \frac{ 7568}{ \sqrt{ 25} }

             E =  2489.9

The 90% confidence interval is mathematically evaluated as

       \= x  -E  <  \mu  <  \= x  +E

substituting values

     55051  - 2489.8  <  \mu  <  55051  + 2489.8

     52561.13  <  \mu  < 57540.8

6 0
2 years ago
the graph of f(x) shown below has the same shape as the graph of g(x)=x^2 but is shifted down 5 units and to the left 4 units (t
schepotkina [342]

Answer:

Option C

Step-by-step explanation:

A function g(x) = x² has been given as the parent function.

This function then shifted 5 units down.

Translated  function formed will be f(x) = x² - 5

Further this graph has been shifted 4 units to the left then the function will become

f(x) = [x - (-4)]² - 5

f(x) = (x + 4)² - 5

Therefore, option C is the answer.

6 0
1 year ago
Read 2 more answers
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