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earnstyle [38]
2 years ago
9

Name.......

Mathematics
1 answer:
lawyer [7]2 years ago
3 0

Answer:

(Below)

Step-by-step explanation:

To find the probability of an outcome, we will express it as a ratio of the number of outcomes that satisfy our conditions to the number of total possible outcomes.

<u>An odd number: </u>

There are 3 odd numbers in the dice, so the probability is:

\frac{3}{6}=50%%

<u>A 2: </u>

There's just one 2 in the dice, so the probability is:

1/6=16.66...%

<u>A multiple of 3: </u>

There are 2 numbers that are a multiple of 3, 3 itself, and 6, so the probability is:

2/6=33.33...%

<u>A number less than 5: </u>

There are four numbers less than 5, and they are 1, 2, 3, and 4, so the probability is:

4/6=66.66...%

<u>A prime number: </u>

There are 3 prime numbers on the dice, and they are 2, 3, and 5 (1 is neither composite nor prime), so the probability is:

3/6=50%

<u>A 3 or a number less than 3: </u>

There are 3 numbers that are 3 or less than 3, and they are 1, 2, and 3, so the probability is:

3/6=50%

You might be interested in
Which one of These is a rational number
Ainat [17]

Answer:

OPTION D: 0

Step-by-step explanation:

Rational numbers are subset of real numbers. These are the numbers that can be represented by a ratio of two integers i.e., of the form $ \frac{p}{q} $, where 'q' is non-zero. The numbers after the decimal forms a pattern. Since, 'q' can be equal to 1, we conclude all integers are rational numbers.

Irrational numbers are the numbers which cannot be represented as ratios. They can only be represented as an approximate value. The numbers after the decimal do not form a pattern.

Here, A is 11.761038... Clearly, the decimal is non-terminating and does not follow a pattern.

In Option B we have √20. √20 = √2 . √10. We know that √2 is an irrational number. So, √20 is also irrational.

In Option C, we have the famous $ \pi $. The value of $ \pi $ is 3.14.... It is an irrational number. The approximate representation of $ \pi $ is $ \frac{22}{7} $.

In Option D, we have 0. It is an integer. So, it is rational as well.

6 0
3 years ago
Someone please help me I’m really struggling <br> I will give brainliest
viktelen [127]

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

<u>Math</u>

  • Pi π = 3.14...

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Radius: r = d/2
  • Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

<u>Step 1: Define</u>

d = 19 cm

<u>Step 2: Find </u><em><u>SA</u></em>

  1. Substitute [R]:                    r = 19 cm/2
  2. Divide:                                r = 9.5 cm
  3. Substitute [SAS]:               SA = 4π(9.5 cm)²
  4. Exponents:                        SA = 4π(90.25 cm²)
  5. Multiply:                             SA = 361π cm²
  6. Multiply:                             SA = 1134.11 cm²
  7. Round:                               SA ≈ 1134 cm²
8 0
3 years ago
A computer can sort x objects in t seconds, as modeled by the function
r-ruslan [8.4K]

Answer:

  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

  9 = 0.007x^2 +0.003x

  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

  x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

  .007(36)(36 3/7) = 9.18

  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

 

6 0
3 years ago
Find the volume of a triangle prism with the following dimensions triangle base: 5ft
Andrews [41]
Hey there :)

We know the volume formula of a triangular prism
Volume = base area × height of prism

We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft

Apply the formula
V = \frac{1}{2} ( 5 )( 3 ) × 7.5
   = 7.5 × 7.5
   = 56.24 ft³

4 0
3 years ago
Read 2 more answers
Solution to 3| x-1|≥12
Sergio [31]

Answer:


Divide both sides by 3

∣x−1∣≥12/3

Simplify 12/3 to 4

∣x−1∣≥4

Break down problem into 2 equations

x−1≥4

(x−1)≥4

Then solve...

ANSWERS:

x≥5

x≤-3

5 0
3 years ago
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