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prohojiy [21]
1 year ago
12

Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.

Mathematics
1 answer:
OlgaM077 [116]1 year ago
5 0

Answer:

\sf \dfrac{1}{8}

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf P(blue)=\dfrac{1}{4}

\implies \sf P(heads)=\dfrac{1}{2}

\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}

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Rename 5/6 and 14/15 using the least common denominator.
baherus [9]

Answer:

\frac{25}{30}~and~\frac{28}{30}

  • Multiply 5 by 5 to get your first parameter.

5 * 5 = 25

  • Multiply 6 by 5 to get the denominator, or your second parameter.

5 * 6 = 30

  • For the second fraction, \frac{14}{15}, you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.

14 * 2 = 28

  • Now, multiply 15 by 2

15 * 2 = 30

  • The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.

25~and~30 -- > \frac{25}{30}

28~and~30-- > \frac{28}{30}

________________________________________________________

Finally, the problem is solved. Now that the problem is solved, we review what we just learned <em>not through more problems, though.</em>

________________________________________________________

<h3>What have we learned?</h3>

We learned how to efficiently make fractions' deominators match.

Questions related to this topic? Ask me in the comments box, please!

8 0
2 years ago
If x &gt; 0, which of the following is positive? <br> 1. -x<br> 2. x^2<br> 3. (-x)^3<br> 4. 1/-x
lapo4ka [179]

Answer:

x^2

Step-by-step explanation:

x > 0~\text{means that x is positive number.}

\text{Square of both negative and positive numbers are always positive.}\\\\\text{So,}~ x^2~\textbf{is positive.}

3 0
2 years ago
What is the simplest form for 20/100
Troyanec [42]
1/5 is the simplest form of the fraction
4 0
3 years ago
Read 2 more answers
14. Higher Order Thinking Does Cavalieri's Principle apply to the volumes of the cones shown? Explain
AleksAgata [21]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

At each height above the base, the cross section of each cone shown is the same (a circle with the same diameter), so Yes, Cavalieri's Principle applies.

3 0
2 years ago
Simplify the equation (4x^3/16x^5) 1/2
Stels [109]
All I got was:
\frac{1}{8x^2}
I simplify what you gave me and I got that.
Hope This Helps!!
8 0
3 years ago
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