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Ahat [919]
2 years ago
10

Each square on the grid is 1 unit by 1 unit. You want to walk from point A to point B via a path that is 7 units long, but you h

ave to stay on the grid. How many different paths can you take

Mathematics
1 answer:
Effectus [21]2 years ago
3 0

Answer:

If you are <u>traversing squares</u> then 7 different paths can be taken

If you are <u>traversing edges </u> then 36 different paths can be taken

Step-by-step explanation:

I have attached a picture that would describe the grid which is 7 units long.

The solution to the general problem is if you have to take X right steps, and Y down steps then the number of routes is simply the ways of choosing where to take the down (or right) steps. Such that:

\left (\ {X+Y} \atop {X}} \right.\left)=\left (\ {X+Y} \atop {Y}} \right.\left)

Basically its the combination of terms.

In this problem,

If you are <u>traversing squares</u> then there are 6 right steps and 1 down step,

7 C 1 = 7 C 6= 7

If you are <u>traversing edges </u> then there are 7 right steps and 2 down steps:

9 C 2 = 9 C 7=  36

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If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individual
melamori03 [73]

Answer:

Correct option (A).

Step-by-step explanation:

The probability of an individual catching a flu when he or she has taken vitamin C is, P (F|C) = 0.0342.

The probability of an individual catching a flu when he or she has not taken vitamin C is, P (F|C') = 0.2653.

Th ratio of individuals who caught the flu when they did not take vitamin C to those who took vitamin C is:

=\frac{P(F|C')}{P(F|C)}\\ =\frac{0.2653}{0.0342} \\=7.7573

This implies that:

P(F|C')=7.7573\times P(F|C)

Thus, the the individuals not taking vitamin C are 7.7573. Times more likely to catch the flu than individuals taking vitamin C.

The statement is True.

4 0
2 years ago
119.31 is 82% of what number
madam [21]
To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x <span>≈ 145.5</span>

Hope this helps :)
5 0
2 years ago
Read 2 more answers
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
DENIUS [597]

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

4 0
2 years ago
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

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and  

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So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
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Tasya [4]
Each side of the model of 413s is rectangular shaped.
So, by this statement we got to know that the model is in cuboid shape.
Hence, its volume will be (length×width×height) cubic feet.
5 0
2 years ago
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