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Nutka1998 [239]
3 years ago
6

A standard die is rolled three times. What is the probability of rolling a number less than 5 on all three rolls?

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

5/6

Step-by-step explanation:

This is because when you roll three times, there are 18 possible numbers (six numbers three times). If you want to get less than five each time, that is 5 number x 3 rolls = 15 numbers.

So...You get 15/18 which simplifies to 5/6

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What is an equation of the line that is perpendicular to y- 4 = 2(x-6) and
Ludmilka [50]

Answer:

D. Y+5=-(1/2)*(x+3)

Step-by-step explanation:

Perpendicular Lines are those with the following condition:

y=a*x+b (1)

y=c*x+d (2)

Where 'a' and 'c' are the respective slope

If These two lines are perpendicular, then

a=- 1/c

Equation (1) for our case is written as y=2x-8, meaning that a=2 and b = -8

Using those principles we have that the slope for our needed line ('c') has to be -(1/2).

Now we most use the given point to find the remaining term of the equation (d) so, evaluate (-3,-5) in eq (2) to have this:

-5=(-1/2)*(-3)+d

resulting that d=-5-(3/2)

Eq (2) is written now as the following: y= (-1/2)*x - (5+3/2)

Rearranging terms, we have the following:

y+5=(-1/2)*x-(3/2)

where you can obtain a more pretty expression:

y+5=(-1/2)*(x+3)

7 0
3 years ago
What is the solution to the equation 4x - 6 = 10x - 3?
beks73 [17]

\huge{\boxed{\tt{Solution:-}}}

<h3><u>Given :</u></h3>
  • \sf {4x-6=10x-3}
<h3><u>T</u><u>o</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
  • What is the solution of the equation:

\sf{(a.)\:x=\dfrac {-1}{2}}

\sf{(b.)\:x=-2}

\sf{(c.)\:x=\dfrac {1}{2}}

\sf{(d.)\:x=2}

Now, we solving it :

\sf{: \implies  {4x - 6 = 10x - 3}} \\  \\ \sf{: \implies  { - 6 + 3= 10x - 4x}} \\  \\ \sf{: \implies  { - 3= 6x}} \\  \\ \sf{: \implies  {  \dfrac{- 3}{6} = x}} \\  \\ \sf{: \implies  {\dfrac{- 1}{2} = x}} \\  \\  : \implies  {\boxed{ \sf{x =\dfrac{- 1}{2}}}}

\bf{\therefore{Correct \:solution\:is\:(a.)\:x=\dfrac {-1}{2}.}}

\rule {307}{2}

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