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3 years ago

Suppose you roll a six sided number cube one time. What is the probability of rolling a 3 or an even number

1 answer:

8 0

There are 3 even numbers: 2,4,6. If you add 3 there is 4. There is 6 possible outcomes 1,2,3,4,5,6. So the probability is 4/6, 2/3, 66.666....% or 0.6666666....

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What is the image of (4,-7) after a reflection over the line y=x

snow_lady [41]

Answer:

(-4,7)

Step-by-step explanation:

solved by graphing

3 0

3 years ago

Find d for the arithmetic series with S17=-170 and a1=2

Irina18 [472]

So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

$\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}$

well, since the 17th term is that much, let's check what "d" is then anyway,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d$

6 0

3 years ago

Where is the solution located on a graph a system of equations?

geniusboy [140]

For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.

5 0

3 years ago

Look at the figure what is the value of y √2y+3=11

Natasha_Volkova [10]

Answer:

y=2

Step-by-step explanation:

first solve those in the brackets then find the square root

2y+3=11

put like terms together

3 goes to the right side

2y=11-3

2=8

y=4

√4=2

y=2

3 0

3 years ago

Question 3 of 10<br> Which graph shows the solution to this system of inequalities?<br> y>2x-3

belka [17]

Step-by-step explanation:

the graph should start on (-3) on the y-axis from there go up 2 and over one and that should be your next point on the graph.

you didn't show the graphs but to figure out if the color goes on the top or bottom... do

point (0,0)

plug into equation y<2x-3

(0)<2(0)-3

0<-3 (false)

wouldn't include the point (0,0)

hope this helps

8 0

3 years ago