Answer:
Step-by-step explanation:
Answer:
17-2*3-8=3
Step-by-step explanation:
We have given:
17_2_3_8=3 insert + - × or ÷ symbols to make each statement true?
<u>Solution:</u>
We will insert multiplication sign between 2 and 3 and then subtract all the terms
<u>17-2*3-8=3</u>
We will solve it according to the DMAS rule:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.
Lets solve the expression and check whether the L.H.S = R.H.S
17-2*3-8=3
17-6-8=3
11-8=3
3 =3
<em>Be sure to multiply first and then subtract</em>
⇒You can also insert addition sign in place of multiplication. It will give the same answer
Answer:
a) b) the standard deviation and the mean is affected by the conversion factor as well
c) the mean is displaced by b units
Step-by-step explanation:
for a new variable
Y=a*X , where a= constant (conversion factor= 1 kg/2.2 pounds)
then
p(y)= p(a*X) = p(X)
a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)
mean =μ=a*μₓ
b) σ² = ∑ (Y-μ)²* p(y) = ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²
then
standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ
standard deviation = σ= a*σₓ
then the standard deviation and the mean is affected by the conversion factor as well
c) nevertheless for a displacement b
Y₂=X + b (b= constant= 50 gr)
p(Y₂)= p(X + b) = p(X)
then
mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -
mean =μ=μₓ - b
then the mean is displaced by b units
