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Novosadov [1.4K]
2 years ago
7

Theoretically, if the spinner is spun 150 times, how many times would you expect to get an even number?

Mathematics
1 answer:
Inessa05 [86]2 years ago
5 0

Answer:

75

Step-by-step explanation:

If there is 6 even numbers and 6 odd numbers, then the spinner would land on an even number half the time. Half of 150 is 75 so the answer is 75.

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Find the value of x for which the function below is maximum
timurjin [86]

Answer:

x = \frac{1}{2}

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

y^{'} = \frac{dy}{dx} = \frac{d(5 + x - x^2)}{dx}

y^{'} = 1 - 2x

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = \frac{1}{2}

Therefore, the value of x for which the function is maximum is \frac{1}{2}

5 0
3 years ago
Read 2 more answers
The function h is defined by h (x) = 2x^2 + 3. <br>Find h(2x)
Tema [17]

h(2) = 2(2^2) + 3

h(2) = 8 + 3

h(2) = 11

7 0
3 years ago
Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.
irga5000 [103]
Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x
 
We know that x= 2 when y=7. So...
A. y = 5/x
    7=5/2
    7=2.5 
   This is false.

B. y = 14/x
    7= 14/2
    7=7
  This is right, So True.

C. y = 9/x
     7=9/2
     7=4.5
    False

D. y = 3.5x    7=3.5(2)
    7=7
  This one is also true.

In this case we look for definition.

he statement " <span>y </span>varies inversely as <span>x </span>means that when <span>x </span>increases, <span>y </span>decreases by the same factor. In other words, the expression <span>xy </span>is constant:
xy = k   

where k is the constant of variation.

We can also express the relationship between x and y as:

y =  k/x 

where k is the constant of variation.

6 0
3 years ago
Read 2 more answers
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