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lesantik [10]
3 years ago
9

Mark draws a card 50 times from a standard deck of 52 cards and gets a Heart 8 times. What is the experimental probability that

he draws a Heart on his next draw?
A) 2:13
B) 4:25
C) 1:4
D) 8:13
Mathematics
2 answers:
MaRussiya [10]3 years ago
7 0

Answer:

The answer will be B)

Step-by-step explanation:

Inessa [10]3 years ago
4 0
<span>Experimental probability is defined as the ratio of the number of times an event occurs to the total number of trials the activity is performed

In this case the number that the event occurred is 8 and the number of trials is 50, so the ratio is 8/50 = 4/25.

Then the answer is option B: 4/25
</span>
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What is the length of the line?
mamaluj [8]

Hi there!

\large\boxed{\text{ D. } \sqrt{136}}

Use the Pythagorean theorem to find the length of the line.

If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.

Use the Pythagorean theorem equation:

c² = a² + b²

Plug in the height and length:

c² = 6² + 10²

Simplify:

c² = 36 + 100

c² = 136

Take the square root of both sides:

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8 0
2 years ago
Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back i
Blababa [14]

Missing information

Take local speed ad 30 mph and express your answer in miles

Answer:

7.5 miles

Step-by-step explanation:

Time for lunch is 1 hour but once will wait for 30 minutes before served and eat.

Out of 1 hour, 30 mins is for service and eating to mean time to get from work to restaurant, to and fro is the other 30 mins

Since 30 mins is for to and fro, then one way direction takes 15 mins.

Speed, s=d/t and distance d=speed*time

Given local speed of 30 mph and time as 15 mins,

To convert minutes to hours, we divide it by 60 hence the distance is

30*15/60=7.5 miles

Therefore, the student can go to a restaurant that is 7.5 miles from the office.

4 0
3 years ago
What is the range, min, and max of the function f(x)=13-20x-x²-3x⁴
Naya [18.7K]

Answer:

  • range: (-∞, 29.4336]
  • min: -∞
  • max: 29.4336

Step-by-step explanation:

I found these using a graphing calculator. (See attached)

The function is a polynomial of 4th degree with a negative leading coefficient. (The coefficient of the 4th-degree term is -3.) Therefore, it opens downward and has a range that extends to -∞. This function only has one global maximum and no local minimum.

_____

The maximum can be found by solving the cubic equation that results from taking the derivative of this function and finding the root of that:

  df/dx = -12x^3 -2x -20 = 0

There are formulas for the solutions of a cubic, but the one negative real root of this cubic can be found easily with a graphing calculator using iteration:

  x ≈ -1.13879908894.

Dividing by -2, the above derivative function can be written as ...

  g(x) = 6x^3 +x +10

The one real zero of it can be found using Newton's Method iteration.

The Newton's Method iterator function is

  h(x) = x - g(x)/g'(x)

where g'(x) is the derivative of g(x), often available as a function on the graphing calculator.

The starting value for the iteration can be the x-value obtained from the graph: -1.139. It only takes about 2 or 3 iterations to find x to the precision of the calculator: x = h(h(x)). This x is the x-coordinate of the maximum, so f(x) is the maximum value: 29.4335546516.

__

The attachments show the function definitions and their use for finding the maximum of f(x) using a TI-84 calculator. Y₁ is the function f(x); Y₂ is its derivative, shown above as g(x). Y₃ is the iterating function, shown above as h(x). The nDeriv( ) function is a calculator function that finds the numerical derivative of its argument.

6 0
3 years ago
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