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almond37 [142]
3 years ago
12

Based on the tree diagram, what is the probability that the art project is in the middle?

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0
The explanation in the attachment.

Q1.
\begin{array}{cccccc}science&-&art&-&math\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\------------------\\\begin{array}{cccccc}math&-&art&-&science\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\\\\\P(A)=\dfrac{1}{6}+\dfrac{1}{6}=\boxed{\dfrac{2}{6}}

Answer: two over six

Q2.
\begin{array}{cccccc}blue&-&head\\\dfrac{1}{4}&\times&\dfrac{1}{2}&=\dfrac{1}{8}\end{array}

Answer: one over eight

Q3.
Answer: 2 - Red and Pink

Q4.
Answer : Second table /attachment/.

Card Color    Green                 Yellow                  Purple
                 Purple Green,    Purple Yellow,      Purple Purple,    Purple
                Green Green,      Green Yellow,      Green Purple,    Green

I don't know what happened to LaTeX. The formula of Q1 and Q2 in attachment.

VashaNatasha [74]3 years ago
5 0
------------- Solutions 

Part 1:<span> </span>Science  - Art - Math = Answer 

Science =  \frac{1}{3} 

Art =  \frac{1}{2} 

Math =  \frac{1}{1} 

\frac{1}{3} *  \frac{1}{2} *  \frac{1}{1}  =  \frac{1}{6} 

<span>\frac{1}{3} * \frac{1}{2} * \frac{1}{1} = \frac{1}{6}  
</span>
P(A) =  \frac{1}{6} +  \frac{1}{6}  =  \frac{2}{6} 

Part 2: Blue - Head = Answer 

Blue =  \frac{1}{4} 

Head =  \frac{1}{2} 

\frac{1}{4} *   \frac{1}{2} &#10;&#10;&#10; 

&#10;= 1 * 1 = 1 &#10;&#10;4 * 2 = 8  &#10; 

\frac{1}{4} *  \frac{1}{2} =  \frac{1}{8} 

Part 3: Red + Pink 

Part 4: <span>Card Color    </span>Green<span>                </span> Yellow                 <span> Purple</span> 
<span>                 Purple Green,    Purple Yellow,      Purple Purple,    </span><span>Purple </span>
                Green Green,      Green Yellow,      Green Purple,   <span> Green  


</span>
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BEST ANSWER GETS BRAINLIEST!!!!!!!!
Ad libitum [116K]

Answer:

(x + 6, y + 0), 180° rotation, reflection over the x‐axis

Step-by-step explanation:

The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.

The horizontal parallel sides are on the x-axis.

Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.

So option 1 and 2 are removed.

Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.

In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,

180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself

8 0
3 years ago
3. Solve 2log4y - log4 (5y - 12) = 1/2<br>​
Ilia_Sergeevich [38]

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

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4 0
3 years ago
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
masya89 [10]

Answer:

Explanation:

Use the Pythagorean theorem (

a

2

+

b

2

=

c

2

)

Lets label the right triangle such that:

a

=

12

b

=

16

c

=

x

Thus,

12

2

+

16

2

=

x

2

144

+

256

=

x

2

400

=

x

2

√

400

=

x

20

=

x

So our missing side,

c

is

20

We can now say that the sides of our triangle are

12

,

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20

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

3 0
2 years ago
Read 2 more answers
For each part below, give an example of a linear system of
N76 [4]

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

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