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FrozenT [24]
3 years ago
9

Two more than the product of a number and 6 is equal to 5.

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

b = 1/2

Step-by-step explanation:

6x + 2 = 5

6x = 3

x = 1/2

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Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )
bulgar [2K]
If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have   (legend:  < : x<y   = : x=y   > : x>y

y      1  2  3  4
x
1      = <  <  <
2      > =  <  < 
3      >  >  = <
4      >  >  >  =

We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore, 
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)

However, if the sample space is continuous, it will be simply p(x<y)=1/2.

8 0
3 years ago
In 2015, Gary earned $25,300. In 2016, he received a raise and earned $28,100. Comparing Gary’s increased salary to his previous
yarga [219]
[Find the changes in the salary]
Increase = 28100 - 25300 = 2800

[the change, divided by the original amount. x100 to give the percentage]
percentage increase = 2800/25300 x 100 = 11.07%
8 0
3 years ago
Read 2 more answers
8) The height of a building h varies directly as the length and inversely as the width, if h = 25m when l = 10m and w = 5m, find
shtirl [24]

Let h,l, and w represent the height, length, and width of the building respectively

Then

\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}\Rightarrow h=\frac{12.5l}{w}

The new value of h = 50m, but l remains the same.

That is l = 10m

Therefore

\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}

Hence, the width is 2.5m

8 0
1 year ago
Which point is collinear with points E and Y?
kobusy [5.1K]

Answer:

G

Step-by-step explanation:

Co linear means that a point is on the same line as some given point.

AY forms a line segment and is part of EG which is a diagonal of the base..

Therefore AY and G are all colinear. The answer you want is G.

7 0
4 years ago
How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution
SVEN [57.7K]

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

4 0
4 years ago
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