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RSB [31]
3 years ago
12

Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you g

et a prize. How many rolls should you take to maximize your chances and what are the chances of winning
Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

The number of rolls  = 36

Step-by-step explanation:

Thinking process:

A die has six sides (6).

Thus, the probability of striking a 6 is \frac{1}{6}

Let the number or sixes be 2

The number of roles for the die is given the following: (6)^{n} where n is the number of sixes needed.

Therefore, the number of roles needed = (6)^{2}  = 36

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12-n/7=-1 what y’all think the answer is
mestny [16]

Answer:

19

Step-by-step explanation:

12-n/7 = -1

Cross multiply

We have 12-n = -7

Collect like terms

12 + 7 = n

Therefore n = 19

8 0
3 years ago
Read 2 more answers
Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of
WINSTONCH [101]

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \frac{1}{4} i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125

6 0
3 years ago
Are rational numbers equal to integers
Alinara [238K]

Yes rational numbers are equal to integers.

4 0
3 years ago
Read 2 more answers
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. U
babunello [35]

Answer:

Step-by-step explanation:

We can solve this question using proportion

Perimeter of the square/Time is takes to unlock

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence, the perimeter of the square after 1.5 seconds is:.x = unknown

32/2.5 = x/1.5

Cross Multiply

2.5x = 32 × 1.5

x = 32 × 1.5/2.5

x = 19.2 centimeters

4 0
3 years ago
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant b^2-4ac applies to quadratic equations when they are organised in standard form: ax^2+bx+c=0.

All quadratic equations can be solved with the quadratic formula: x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}.

When b^2-4ac is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

<u />3x^2+5x=-1<u />

We're given the above equation. It hasn't been organised completely in ax^2+bx+c=0, but we can change that by adding 1 to both sides to make the right side equal to 0:

3x^2+5x+1=0<u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0
3 years ago
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