Answer:
0.643
Step-by-step explanation:
Let, s = play a sport
c = participate in a club
P(s) = 0.14
P(s n c) = 0.09
probability that a student participates in
a club given that they also play a sport = P(c | s)
P(c | s) = P(c n s) / P(s)
P(c | s) = 0.09 / 0.14
P(c | s) = 0.64285
= 0.643
Answer:
Sa = 1.5*V
Step-by-step explanation:
We have that the surface area of a sphere has the following formula:
Sa = 4*pi*r^2
we know that r = 2, so if we replace it, we're left:
Sa = 4*pi*(2^2)= = 4*pi*4
Sa = 16*pi
Now, the volume has the following formula:
V = 4/3*pi* r^3
Replacing it is our job:
V = 4/3*pi* (2^3) = 4/3*pi*8
V = 32/3*pi
Now, Sa/V, it would remain:
Sa/V = 16*pi / 32/3*pi
Sa/V = 48/32 = 1.5
Therefore, Sa = 1.5*V
We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
Answer:
Step-by-step explanation:
102 meters in 12 seconds = (102 / 12) = 8.5 meters per second
Answer:
Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .
Step-by-step explanation:
We are given that let X be the number that do some or all of their banking on the Internet.
Also; Mean, 
= 310/1000 or 0.31 and Standard deviation, 
= 14.63/1000 = 0.01463 .
We know that Z = 
~ N(0,1)
Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);
P(X <=0.13) = P( <= 
) = P(Z <= -12.303) = P(Z > 12.303)
Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.
So, after seeing the table we can say that this probability is approximately less than 0.0005% .
