first to find average age add all the ages divide by number of ages 4
5+4=9
9+6=15
15+39=54
54/4=13.5
For standard deviation find the mean/average
13.5
then subtract the mean from each number/age
5-13.5=-8.5
4-13.5=-9.5
6-13.5=-7.5
39-13.5=25.5
then square each number
-8.5^2=-72.25
-9.5^2=-90.25
-7.5^2=-56.25
25.5^2=650.25
then find the mean/average of the new numbers
-72.25+-90.25+-56.25+650.25=431.5
431.5/4=107.85
then take the square root of the new mean/average
The probability of the sample is 0.5 or 50%
<u>Explanation:</u>
Given:
Mean, μ = 20
Standard deviation, δ = 1.3
Probability of sample being less than 20.1 = ?
P (x < 20.1) = 20.1 - μ / δ √n
P (x < 20.1) =
= 0.0098
P( x < 20.1) = P(z < 0.0098)
P (z < 0.0098) = 0.5
The value of P is found out using a z score table.
Therefore, probability of the sample is 0.5 or 50%
Answer:
A. Area of ABCD = 240
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
=
+
= +
= 676
BD =
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm