Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) =
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) = =
also,
=
thus,
=
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls
The first three standard deviation for coSport include;
The first three standard deviation for Blockbuster include;
"<em>Check the image I added for the plot of the normal distribution</em>"
<u />
<u>In the given chart;</u>
sample size of the coSport, = 400
the mean of the coSport, M = 6.5
standard deviation of the coSport, d = 0.4
The first standard deviation above and below the mean for coSport is calculated as;
at 34% of the sample size = 0.34 x 400 = 136
above the mean = M + d = 6.5 + 0.4 = 6.9
below the mean = M - d = 6.5 - 0.4 = 6.1
The second standard deviation above and below the mean for coSport is calculated as;
at 14% of the sample size = 0.14 x 400 = 56
above the mean = M + 2d = 6.5 + 2(0.4) = 7.3
below the mean = M - 2d = 6.5 - 2(0.4) = 5.7
The third standard deviation above and below the mean for coSport is calculated as;
at 2% of the sample size = 0.02 x 400 = 8
above the mean = M + 3d = 6.5 + 3(0.4) = 7.7
below the mean = M - 3d = 6.5 - 3(0.4) = 5.3
<u>Also In the given chart;</u>
The first standard deviation above and below the mean for Blockbuster is calculated as;
at 34% of the sample size = 0.34 x 600 = 204
above the mean = M + d = 4.6 + 0.6 = 5.2
below the mean = M - d = 4.6 - 0.6 = 4
The second standard deviation above and below the mean for Blockbuster is calculated as;
at 14% of the sample size = 0.14 x 600 = 84
above the mean = M + 2d = 4.6 + 2(0.6) = 5.8
below the mean = M - 2d = 4.6 - 2(0.6) = 3.4
The third standard deviation above and below the mean for Blockbuster is calculated as;
at 2% of the sample size = 0.02 x 600 = 12
above the mean = M + 3d = 4.6 + 3(0.6) = 6.4
below the mean = M - 3d = 4.6 - 2(0.6) = 2.8
Learn more here: brainly.com/question/23418254
Answer:
4.11 miles.
Step-by-step explanation:
In the image that I am going to attach we can see the description of the statement in a graph, now, the right triangle is formed, and we can apply Pythagoras, and the hypotenuse would be equal to:
(5 ^ 2 + x ^ 2) ^ (1/2)
The speed is equal to:
V = d / t, therefore the time is t = d / V, the total time would then be:
total time = (5 ^ 2 + x ^ 2) ^ (1/2) / 3 + (7-x) / 6
we derive with respect to x, and we are left with:
dt / dx = x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) - 1/6 = 0
x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) = 1/6
6x / (3 = (5 ^ 2 + x ^ 2) ^ (1/2)
(2 * x) ^ 2 = (5 ^ 2 + x ^ 2)
4 * x ^ 2 = 25 + x ^ 2
3 * x ^ 2 = 25
x ^ 2 = 25/3
x = 2.88
now we replace
7 - x = 7 - 2.89 = 4.11
In other words, the answer is 4.11 miles.
