Answer: Our required probability is 0.1695.
Step-by-step explanation:
Since we have given that
Number of male applicants = 4200
Number of female applicants = 3800
So, total number of applicants = 4200+3800 = 8000
Probability of male entered and subsequently enrolled is given by
Probability of female entered and subsequently enrolled is given by
Number of male entered and subsequently enrolled is given by
Number of female entered and subsequently enrolled is given by
So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by
Hence, our required probability is 0.1695.
Decimal division is super easy, let me show you how.
First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.
184*340 = 62560.
Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)
Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.
If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>
There's your final answer. 62.56.
Hope this explanation helped you out. :)
$24 because $192divided by $8 is $24
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
Answer:
77.12 feets
Step-by-step explanation:
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Step one:
given data
Length of the room= 33 feets
width of the room = 69.7 feets
Required
The diagonal of the room
Step two:
from Pythagoras theorem
z^2= x^2+y^2
substitute
z^2= 33^2+ 69.7^2
z^2=1089+4858.09
z^2=5947.09
z=√5947.09
z=77.12 feets
