Answer: (-1, 2)
explanation:
3(2x-y=-4)
6x-3y=-12
9x+3y=-3
6x-3y=-12
15x=-15
x=-1
2(-1) - y = -4
-2-y=-4
-y=-2
y=2
Answer:
The probability that all the five flights are delayed is 0.2073.
Step-by-step explanation:
Let <em>X</em> = number of domestic flights delayed at JFK airport.
The probability of a domestic flight being delayed at the JFK airport is, P (X) = <em>p</em> = 0.27.
A random sample of <em>n</em> = 5 flights are selected at JFK airport.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The probability mass function of <em>X</em> is:

Compute the probability that all the five flights are delayed as follows:

Thus, the probability that all the five flights are delayed is 0.2073.
Tell me if you have any questions or you need a step by step explanation
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Answer:
The total surface area is 896 
Step-by-step explanation:
<em>The square pyramid is a solid with square base and symmetric 4 triangular faces.</em>
Given that the square base is 14 m and height is 24 m.
The apex of pyramid, center of square and center of any edge of square make a right angled triangle.
Let that height if triangular face be "x".
by pythagoras theorm , 
x = 25 m
the area of square base is 
the area of each triangular side is <em>
</em>
such are 4 triangles, thus 
Thus the total surface area is 196 + 700 = 896 