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leva [86]
2 years ago
11

A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

Step-by-step explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

(\frac{1}{6} )^5 = \frac{1}{7,776}

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Wittaler [7]
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8 0
3 years ago
In what year was her grandpa lopez twice as old as her dad?show how you know
RoseWind [281]
So,

We are trying to figure out when Grandpa Lopez's age was twice that of Dad.

Let x represent the number of years before/after when G. Lopez's age was twice that of Dad.

66 + x = 2(37 + x)

Distribute.
66 + x = 74 + 2x

Subtract x from both sides.
66 = 74 + x

Subtract 74 from both sides.
-8 = x

So 8 years ago, G. Lopez was twice as old as Dad.  Let's check that.

66 - 8 = 58

37 = 8 = 29

29 * 2 = 58
58 = 58

It checks.
8 0
3 years ago
I need to find the answer to this question and please explain how.
deff fn [24]

Among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

Learn more about divisibility at

brainly.com/question/26789053

#SPJ9

8 0
2 years ago
The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of
mixer [17]
The answer is 11.25 mm.

A diameter of a circle is twice of its radius: d = 2r    ⇒ r = d/2

small circle                                       large circle
radius: r1                                           radius: r2 = ?
diameter: d1 = 15 mm
⇒ r1 = d1/2 = 15/2 mm

Since t<span>he ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
</span>\frac{r1}{r2}= \frac{2}{3}
<span>
We know that r1 is 7.5, so let's implement it:
</span>\frac{7.5}{r2} = \frac{2}{3}

Let's multiply both sides of the by 3r2:
3r2* \frac{7.5}{r2} =3r2* \frac{2}{3}
⇒ 3 * 7.5 = 2*r2
     22.5 = 2*r2
⇒ r2= \frac{22.5}{2} =11.25 mm

5 0
3 years ago
Read 2 more answers
At Harry's discount hardware everything is sold for 20 percent less than the price marked. If Harry buys tool kits for $80,what
ICE Princess25 [194]

Answer:

$120.

Step-by-step explanation:

The amount he sells the tool kit for  = 80 + 20% of 80

= 80 + 16

= $96.

Let m be the marked price, then

m - 0.20m = 96

0.8m = 96

m = $120.

5 0
3 years ago
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