Answer:
z = 44
Step-by-step explanation:
180 - (44+52) = 180 - 96 = 84º
180 - 84 = 96º
180 - (96 + 40) = z
180 - 136 = z
z = 44
The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B)
Step-by-step explanation:
Let the present age of father = x years
and the present age of son = y years
according to the first condition
x + y =44 ........(i)
according to the second condition
x+8 = 2(y+8)
or x+ 8 = 2y + 16
or x- 2y = 8 ............(ii)
solve the equation (i) & (ii) we get
x + y =44
x- 2y = 8
••••••••••••••••••••••••
3y = 36
or y = 12
put the value of y in equation (i), we get
x + 12 =44
or x = 32
so the present age of father = x =32 years
and the present age of son = y = 12 years.
Answer:
#19: x=3
#20: would be n=4 i think
Step-by-step explanation:
#19- there are 4 x's and 12 +1's so 4 into 12 is 3.
#20- well the answer that i got was 5 but 4 was closer to 5 so yea.
i sure hope this helps!
Answer:
he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050
Step-by-step explanation:
mean = 112
sd = 12/sqrt(25) = 2.4
z = (x - μ)/σ
z = (116 - 112)/2.4 = 1.67
Therefore,
P(X >= 116) = P(z <= (116 - 112)/2.4)
= P(z >= 1.67)
= 1 - 0.9525
= 0.0475
z = (x - μ)/σ
z1 = (108 - 112)/2.4 = -1.67
z2 = (116 - 112)/2.4 = 1.67
Therefore, we get
P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)
= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)
= 0.9525 - 0.0475
= 0.9050
