MATHEMATICS HIGH SCHOOL

Find the probability of getting a doublet in a throw of a pair of dice.​

Answers

Answer 1
Answer: There are six ways to roll 2 dice such that both dice have the same value
These are the outcomes (1,1),(2,2),(3,3),(4,4,)(5,5) and (6,6).

To find the total number of outcomes, note that there are 6 choices for the first die (values 1–6) and there are 6 choices for the second die (again values 1–6) and so by the Multiplication Principle (MP) there are 36 total outcomes from rolling two dice once.

Now we have the following:

P(getting a doublet) =
Total number of outcomes
Number of ways to get double
​
=
36
6
​
=
6
1
​


Thus, the probability of getting a doublet is
6
1
​
.
Answer 2
Answer:

Question:

Find the probability of getting a doublet in a throw of a pair of dice.

Answer:

The probability is 1 out of 6.

Explanation:

There are a total of 6 possibilities that you get a doublet, which is {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}, and {6, 6}.

The total possibilities of throwing a dice are 6 possibilities for the first dice, and 6 possibilities for the second dice. Which results in a total of 6 × 6 = 36 possibilities available.

Probability = Possibilities of getting doublet ÷ Total possibilities = 6 ÷ 36 = 1 ÷ 6.

Hopefully this answer will help you.

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There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?

Answers

160 people infected in 8 min

A cube has a side length of x feet. Which expression represents the surface area of the cube? A)4x square units
B)24x square units
C)x2 square units
D)6x2 square units

Answers

The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units
I hope this helps you

Are the functions f(x)= |x-4| and g(x)= |x| -4 equivalent?​

Answers

No, because the first one will always give a positive answer while the second could give a negative answer.

Use the quadratic formula to solve 2y2 + 6y – 8 = 0. A {–4, –1} B {4, –1} C {–4, 1} D {4, 1}

Answers

y = [-6 +/- sqrt(6^2 -4*2*-8)]  /  2*2
  =  (-6 +/-  sqrt 100) / 4
   = (-6+10) / 4  , (-6-10) / 4
   =  (1 , -4)

the answer is C

Add and simplify 9/16 + 1/2= ?

Answers

when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
 to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
(1*8)/(2*8) = (8)/(16)
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.

(9)/(16) + (8)/(16) = (17)/(16)
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16

The addition of  \frac{9}{{16}} +(1)/(2) is \boxed{\frac{{17}}{{16}}}.

Further explanation:

Given:

The expression is \frac{9}{{16}} + (1)/(2).

Explanation:

Consider the first fraction as \frac{9}{{16}} and consider the second fraction as (1)/(2).

To add the two fractions first we need to make the same denominator.

The denominator of the first fraction is 16.

The denominator of the second fraction is 2.

Multiply the numerator and denominator of the second fraction by 8.

\begin{aligned}{\text{Fraction}}&= (1)/(2) * (8)/(8)\n&= \frac{8}{{16}}\n\end{aligned}

Now the denominator of the second fraction is 16.

The second fraction is \frac{8}{{16}}.

Now add the fractions and simply.

\begin{aligned}{\text{Addition}}&=\frac{9}{{16}} + \frac{8}{{16}}\n&= \frac{{9 + 8}}{{16}}\n&= \frac{{17}}{{16}}\n\end{aligned}

The simplified or improper fraction of addition can be obtained as follows,

\begin{aligned}S&= \frac{{16 + 1}}{{16}}\n&=\frac{{16}}{{16}} + \frac{1}{{16}}\n&= 1 + \frac{1}{{16}}\n&= 1\frac{1}{{16}}\n\end{aligned}

The addition of  \frac{9}{{16}} + (1)/(2) is \boxed{\frac{{17}}{{16}}}.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities?a. 85 < p < 125
b. 85 ≤ p ≤ 125
c. p < 85 or p > 125
d. p ≤ 85 or p ≥ 125

Answers

The correct answer is D. Since the average score is 105, and the boundary limits are +- 20 points, then the needed score for tutorial would have to be less than or equal to 85, and for extension activities, it would have to be greater than or equal to 125. Mathematically, it is shown as:   p ≤ 85 or p ≥ 125

Answer:

d

Step-by-step explanation:
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