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galina1969 [7]
3 years ago
9

Is this correct? If not please tell me what is. If it is correct just say 'yep! it's correct!' or something like that- Thanks :)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

It should be a + b/5

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In tossing four fair dice, what is the probability of tossing, at most, one 3
11Alexandr11 [23.1K]

<u>Answer- </u>

In tossing four fair dice, the probability of getting at most one 3 is 0.86.

<u>Solution-</u>

The probability of getting at most one 3 is, either getting zero 3 or only one 3.

P(A) =The \ probability \ of \ getting \ zero \ 3 =(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})=\frac{625}{1296} =0.48                    ( ∵ xxxx )

P(B) = The \ probability \ of \ getting \ only \ one \ 3 =(4)(\frac{1}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6}) = 0.38                    ( ∵ 3xxx, x3xx, xx3x, xxx3 )

P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86

7 0
3 years ago
A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t
PtichkaEL [24]

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

8 0
3 years ago
Write (1/3i)-(-6+2/3i) as a complex number in standard form
Eddi Din [679]

Answer:

6+\frac{i}{3}

Step-by-step explanation:

\frac{1}{3\imath}-(-6+\frac{2}{3\imath})

\frac{1}{3\imath}+6-\frac{2}{3\imath}

taking like terms together

\frac{1}{3\imath}-\frac{2}{3\imath}+6

taking LCM

\frac{1-2}{3\imath}+6

\frac{-1}{3\imath}+6

taking LCM

\frac{-1+18\imath}{3\imath}

splitting the term

\frac{-1+18\imath}{3\imath}

splitting the term

-\frac{1}{3\imath}+\frac{18\imath}{3\imath}

-\frac{1\times3\imath}{3\imath \times \imath}+6

-\frac{i}{3\imath^2}+6

we know that

\imath^2=-1

putting this value in above equation

\frac{\imath}{3}+6

7 0
3 years ago
two times a number added to another number is 20. three times the first number minus the other number is 20. find the numbers
skelet666 [1.2K]

Answer:

y=7

Step-by-step explanation:

We have two numbers,  

x

,

y

. We know two things about them:

2

x

+

y

=

25

3

x

−

y

=

20

Let's add these two equations together which will cancel the  

y

:

5

x

+

0

y

=

45

x

=

45

5

=

9

We can now substitute in the  

x

value into one of the original equations (I'll do both) to get to  

y

:

2

x

+

y

=

25

2

(

9

)

+

y

=

25

18

+

y

=

25

y

=

7

3

x

−

y

=

20

3

(

9

)

−

y

=

20

27

−

y

=

20

8 0
3 years ago
A new restaurant specializes in making pizza cones. A large slice of pizza is made into a cone shape and then filled with cheese
I am Lyosha [343]
The volume of the cone is πr²h/3 where r=3/2 and h=5. So volume=15π/4=11.78 cu in.
3 0
3 years ago
Read 2 more answers
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