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dangina [55]
2 years ago
7

A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 5.

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

The probability that the larger of the two rolls was equal to 5 is; 2/9

<h3>Probability of possible outcomes</h3>

The total number of possible outcomes when the dice is rolled twice is 36 outcomes.

Now, for the larger of the two rolls to equal 5, the total number of favourable  outcomes are 8 which are;

(1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5,4)

Thus, probability that the larger of the two rolls was equal to 5 is;

P(larger of 2 rolls equals 5) = 8/36 = 2/9

Read more about probability of possible outcomes at; brainly.com/question/19916581

You might be interested in
Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If h
alisha [4.7K]

The amount invested at each rate

Investment at 7% = $25000

Investment at 2%  = $11,000

<h3>What is investment?</h3>

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

0.05x = 1970-720

0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

Learn more about this concept here:

brainly.com/question/18801028

#SPJ1

7 0
2 years ago
Geometry help?<br> 24/10<br> 10/24<br> 24/26<br> 10/26
olasank [31]
24/26 or opposite over adjacent. The answer is C
8 0
3 years ago
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
Kipish [7]

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

5 0
2 years ago
15 points pls brainliest show your work no calculator
FinnZ [79.3K]

Based on the calculations on the given expressions, the correct answers are as follows:

  1. Expression = 25/2 or 12.5.
  2. Difference = 5.
  3. n = 6.
  4. Expression = 31/15.
  5. Prime factorization of 96 = 2⁵ × 3¹.
  6. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
  7. Inequality = 2³ < 3².
  8. Total amount = $255.
  9. Expression = 5.

<h3>How to evaluate this expression?</h3>

In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:

Expression = (6x + 8)/(4x - 24)

Expression = (6(7) + 8)/(4(7) - 24)

Expression = (42 + 8)/(28 - 24)

Expression = 50/4

Expression = 25/2 or 12.5.

Next, we would translate the given word problem into an algebraic expression:

Difference = 10 - 5

Difference = 5.

To solve for the value of n in the given expression:

-15 + n = -9

n = -9 + 15

n = 15 - 9

n = 6.

Expression = 2/3 + 1 2/5

Expression = 2/3 + 7/5

Expression = (10 + 21)/15

Expression = 31/15.

Next, we would write the prime factorization of 96:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

96 = 2 × 2 × 2 × 2 × 2 × 3

96 = 2⁵ × 3¹.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.

<h3>How to determine the inequality symbol?</h3>

2³ __  3²  ≡  8 __ 9

Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:

Inequality = 2³ < 3².

Next, we would calculate the total amount of money that KeeKee will spend:

Initial cost = 3 × $60 = $180

Total amount = initial cost + final cost

Total amount = $180 + $75

Total amount = $255.

Finally, we would simplify the given expression:

Expression = 3² + 2(12 ÷ 4 - 2 + 3)

Applying BODMAS, we have:

Expression = 3² + 2(3 - 2 + 3)

Expression = 3² + 2(3 - 5)

Expression = 3² + 2(-2)

Expression = 9 - 4

Expression = 5.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

7 0
2 years ago
7 t-shirts and a hat costs £67.00
frozen [14]
£67.00 / 7= £9.57that’s how much cost the hat
£67.00-£9.57= £57.43
£57.43/7= £8.20 per T-shirt





7 0
3 years ago
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