The missing number is 20
<h3>How to determine the number</h3>
We can see that the values at the top must be made equal to that at the bottom
For the top, we have
30 + 11 = 41
For the bottom, we should have:
21 + x = 41
Now, let's solve for 'x' to determine the missing figure;
21 + x = 41
collect like terms
x = 41 - 21
x = 20
Thus, the missing number is 20
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Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.
Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2
P(Boy) = P(girl) =0.5
p =0.5
From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.
So X follows Binomial distribution with n=10 and p=0.5
The probability function of Binomial distribution for k number of success, x=k is given as
P(X=k) = 
We have to find probability of getting 8 boys in n=10 births
P(X=8) = 
= 45 * 0.0039 * 0.25
P(X = 8) = 0.0438
The probability of getting exactly 8 boys in selected 10 births is 0.044
Answer:
the simplified answer is 3 3/4
Step-by-step explanation:
18(3+14) x 6(21+4) is an example I just came up with you distribute the 18 to the 3 and the 4. And distribute the 6 to 21 and 4.
The first line equation: y = -2/7x - 5; m1 = -7/2
The second line passes through (2,4) and is perpendicular to the first line.
Therefore,
The gradient of first line = -1/m1 = -1/(-2/7) = 7/2
Then, the equation of the second line is;
y = 7/2x+b
Substituting for the coordinates given;
4 = 7/2(2)+b
4 = 7+b
b = 4-7 = -3
Therefore, the equation of the second line is;
y = 7/2x - 3
In standard form, the equation this equation can be written as:
y(2) = 7x - 3(2)
2y = 7x - 6
7x -2y - 6 = 0 -----> standard form.
