You would do 1/4 and get the answer plus 3/8s answer
Answer:
Here is your answer.
Step-by-step explanation:
Sum: -10
Expression:
X = 2
m = -5
(multiplying X and M)
XM = -10 (X times M = -10) (-10 = negative 10)
Answer:
480
Step-by-step explanation:
First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.
Hope this helped!
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: Weight of a male baby (pounds)
X~N(μ;σ²)
μ= 11.5 pounds
σ= 2.7 pounds
a) Find the 81st percentile of the baby weights.
This percentile is the value that separates the bottom 81% of the distribution from the top 19%
P(X≤x₁)= 0.81
For this you have to use the standard normal distribution. First you have to look the 81st percentile under the Z distribution and then "translate" it to a value of the variable X using the formula Z= (X- μ)/σ
P(Z≤z₁)= 0.81
z₁= 0.878
z₁= (x₁- μ)/σ
z₁*σ= x₁- μ
(z₁*σ) + μ= x₁
x₁= (z₁*σ) + μ
x₁= (2.7*0.878)+11.5
x₁= 13.8706 pounds
b) Find the 10th percentile of the baby weights.
P(X≤x₂)= 0.10
P(Z≤z₂)= 0.10
z₂= -1.282
z₂= (x₂- μ)/σ
z₂*σ= x₂- μ
(z₂*σ) + μ= x₂
x₂= (z₂*σ) + μ
x₂= (2.7*-1.282)+11.5
x₂= 8.0386 pounds
c) Find the first quartile of the baby weights.
P(X≤x₃)= 0.25
P(Z≤z₃)= 0.25
z₃= -0.674
z₃= (x₃- μ)/σ
z₃*σ= x₃- μ
(z₃*σ) + μ= x₃
x₃= (z₃*σ) + μ
x₃= (2.7*-0.674)+11.5
x₃= 9.6802 pounds
I hope this helps!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
= 
+ 
= 
+ 
= + 
262.44 = + 184.96
= 262.44 - 184.96
= 77.48
EF = 
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
