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VLD [36.1K]
3 years ago
10

What is the probability of rolling a number greater than or equal to 8 with the sum of two dice, given that at least one of the

dice must show 6?
Mathematics
2 answers:
amid [387]3 years ago
7 0

Answer:

a dice goes from 1-6

6+1=7

6+2=8

6+3=9

6+4=10

6+5=11

6+6=12

Of those possible choices, 5 are greater than or equal to 8. So the answer is 5/6.

mark brainiest please

Harlamova29_29 [7]3 years ago
3 0

Answer with explanation:

⇒Total Possible outcome when a dice is thrown twice =6²=36

={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4).......(6,5)}

→Total Favorable Outcome = Sum of the Number on the dice should be greater than or equal to 8 and one of the dice must show 6.

→A =Sum of the two numbers on the dice should be ,8, 9,10,11,12.

={(4,4),(5,3),(3,5),(6,2),(2,6),(6,3),(3,6),(5,4),(4,5),(5,5),(4,6),(6,4),(6,5),(5,6),(6,6)}

=15

→B={(6,2),(2,6),(6,3),(3,6),(4,6),(6,4),(6,5),(5,6),(6,6)}

→A ∩ B=B

Total Favorable Outcome ={(6,2),(2,6),(6,3),(3,6),(4,6),(6,4),(6,5),(5,6),(6,6)}=9

Required Probability

              =\frac{\text{Total Possible Outcome}}{\text{Total Possible Outcome}}\\\\=\frac{9}{36}\\\\=\frac{1}{4}

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4. Order the numbers from least to greatest.<br> √5, 5, 2.5. Ja
lara31 [8.8K]

Answer:

√5 < 2.5 < 5

Step-by-step explanation:

√5= 2.23

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√5 < 2.5 < 5

8 0
4 years ago
How do i find a formula for "1+3+5+7+......+(2n-1)
nata0808 [166]

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

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2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2

7 0
3 years ago
PLEASE HELP!
Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

\textrm{Slant height  l} = \sqrt{r^2 + h^2}  (1)

\textrm{Lateral surface area} = \pi r l

\textrm {Base area} = \pi r^2

\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l) (2)

\textrm{Volume V = } (1/3)  \pi r^2h (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA}  = 4\pi(4 + 8.944) =  4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04

Figure(b)

r = 7, h =15

\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55

\textrm{SA}  = 7\pi(7 + 16.55) =  517.89

Figure (c)

r = 5, l = 8

h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA}  = 5\pi(5 + 8) =  204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5


6 0
2 years ago
In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? E
Archy [21]

Given:

\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}

3 0
1 year ago
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