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pogonyaev
3 years ago
8

Simplifying radicals!please help and show work!

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0
3√6/8 is the correct answer
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Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five amo
True [87]

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

3 0
3 years ago
What is the slope of the line going through the points (2,5) and (-4,-1)?
zheka24 [161]

Answer: The answer is 1.

Step-by-step explanation: The entered points belong to an increasing, linear function.

Equation: y = 1x + 3.

8 0
2 years ago
Read 2 more answers
What is the simplified rational number of 4x^2/5y *7y/12x
Natasha_Volkova [10]
The simplified rational number for this equation is 7x^3/15
8 0
3 years ago
He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width
chubhunter [2.5K]

Answer:

Perimeter = 28.8 inch

Step-by-step explanation:

Step 1: Change given centimeters into inches according to the scale

2.5 / .5 = 5 <--- length in inches

4.7 / .5 = 9.4 <--- width in inches

^^^This is the same thing as multiplying 2.5 cm and 4.7 cm by two. You could also reword the scale to be 1 cm = 2 inch if it makes more sense for you

Step 2: Find the perimeter using the formula: P = 2L + 2W

2 (5) + 2(9.4)

10 + 18.8

5 0
3 years ago
ANSWER FAST PLEASE!!!
boyakko [2]
Log₂(6x) - log₂(√x) = 2

log₂[6x/√x] = 2, let's rewrite it in terms of exponent:

(remember : ㏒₂(x) = a  (in exponential form) → x = 2ᵃ

6x/√x = 2²

6x/√x = 4, square both sides:
36x²/x = 16 .Simplify:

36x = 16 and x = 16/36 . So x = 4/9
7 0
3 years ago
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