Answer:
x=2°
Step-by-step explanation:
(5x+35)°=45° because they are alternative angle
5x+35°=45°
5x=45°-35°
5x=10°
x=10°/5
x=2°
Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean : 
Standard deviation: 
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score : 
For x=57, we have
For x=74, we have
Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-
Hence, the percentage of women meeting the height requirement = 99.51%
Answer:
When you have large numbers to divide,
draw a tableau for long division on the side.
Write the steps that will be your guide,
D, M, S, B and R – Abide by to long divide!
Step-by-step explanation:
Answer:
volume of hemisphere=2/3×pi×r³
volume of hemisphere=2/3×22/7×8³
volume of hemisphere = 1072.76cm³
Answer:
(1, 0)
Step-by-step explanation:
Please write this as y^2 = 4x; the " ^ " indicates exponentiation.
The appropriate equation for a horizontal parabola that opens to the right is
y^2 = 4px
Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.
Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).
