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Savatey [412]
3 years ago
11

Hiiii someone please help me I'm confused please helppp

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

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Ilia_Sergeevich [38]

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Y=0.1(1.25)^t is growth. Y=426(0.98)^t is decay. Y=100(1-1/2)^t is decay. Y=((1-0.03) 1/2) ^2t is decay. And y=2050(1/2)^t is decay. Hope this helps!

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NemiM [27]

Answer:  Choice C

(4, 18)

=========================================

Explanation:

One point shown on the graph is (2,9)

If we double each x and y coordinate, then

  • 2*2 = 4
  • 9*2 = 18

We go from (2,9) to (4,18)

Plotting this point on the graph will be on the same line as the other points.

Or you could note that y/x = 9/2 = 18/4 = 4.5

8 0
2 years ago
Three balanced coins are tossed independently. One of the variables of interest is Y1, the number of heads. Let Y2 denote the am
sesenic [268]

Answer:

a) the joint probability distribution function is

P(y1,y2)=

      C(3-y1,y2-1)/8, for 1≤y2≤4-y1 and 1≤y1≤3 ,

      1/8 for (y1,y2)=(-1 ,0)

       0 otherwise

b) the probability is 50% (F(2,1)= 1/2)

Step-by-step explanation:

for the variable Y1, we start with the negative binomial distribution, with true or false values:

p(r,x)=C(x+r-1,r-1)*p^r*(1-p)^x , where x= number of false experiments until a number r of true values is achieved, and C(a,b)=number of combinations of b in a values. if we set r=1 (fist head) and y1=x+1 (except of y1=-1)

p(y1)= C(y1,0)*p^0*(1-p)^(y1-1) = p*(1-p)^(y1-1)

for the variable Y2, we begin with the binomial distribution:

p(n,x)= C(n,x)*p^x*(1-p)^(n-x) , n= number of times the coin is tossed, x= number of heads obtained , p = probability of obtaining heads when the coin is tossed once.

if we set n=3-y1 (remaining coins that can be tail or head), and x=y2-1 (since we already know the first head appeared), we calculate the probability of p(y2) in case of y1 ( or p(y2|y1) )

p(y2|y1)= C(3-y1, y2-1)*p^(y2-1)*(1-p)^(4-y1-y2)

Now using the theorem of Bayes:

P(y2,y1)=p(y2∩y1)=p(y2|y1)*p(y1) = C(3-y1,y2-1)*p^y2*(1-p)^(3-y2)

since the coins are balanced p= 0,5

P(y2,y1)= C(3-y1,y2-1)*0,5^y2*(1-0,5)^(3-y2)= C(3-y1,y2-1)*0,5^3=C(3-y1,y2-1)/8

therefore

P(y2,y1)=

      C(3-y1,y2-1)/8, for 1≤y2≤4-y1 and 1≤y1≤3 ,

      1/8 for (y1,y2)=(-1 ,0)

       0 otherwise

b) F(2,1)= P(y=1,y2<2)+P(y=(-1),y2=0)= [C(2,0)/8+C(2,1)/8] + 1/8 = (1/8+2/8)+1/8=4/8=1/2

6 0
3 years ago
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