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Tamiku [17]
3 years ago
11

The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number C

ube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2​
Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
NEED HELP WILL MARK BRAINLIEST
dimulka [17.4K]

Answer:

its b, hope this helps.

5 0
3 years ago
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natulia [17]
We can write one fifth as \frac{1}{5}

7 times of w , we can write as = 7w

Now we have to subtract one fifth from seven times of w.

So we can write it in algebraic expression as

7w -  \frac{1}{5}

8 0
3 years ago
If arc QT = (27x + 3) arc RT = (9x – 5) and RST = (102 – 2) find arc RT.
elena-s [515]

Answer:

Step-by-step explanation:

x = 6

3 0
3 years ago
What is the median of 6, 7, 9, 12, 15?
miv72 [106K]
The median is nine. All you need to do is cross one off from each side until you get to the midde. In this case, the answer is 9
Also, make sure you always put them in order
6 0
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