Answer:
1) 200.
Step-by-step explanation:
Men = 1/³
Women = ⅔
50 men, 100 women
2:1 women to men.
there are 200 people in total.
Answer:
Step-by-step explanation:
<u>Given data:</u>
- <u>x | 2 | 3 | 4 | 5 | 6 </u>
- y | 21 | 69 | 261 | 1029 | 4101
<u>Logarithms of y-values:</u>
- log 21 = 1.322
- log 69 = 1.839
- log 261 = 2.417
- log 1029 = 3.012
- log 4101 = 3.613
<u>The ordered pairs:</u>
- (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)
<u>Using an online calculator found the equation of the regression line:</u>
<u>In our case it is:</u>
Take note that they spent $18 afterwards having $28 on the card so they're spending money off the card so...
x-18=28
would be the equation for this and to solve do the following.
First add 18 to both sides making the equation.
x=46
Answer: The proofs are given below.
Step-by-step explanation: We are given to prove that the following statements are tautologies using truth table :
(a) ¬r ∨ (¬r → p) b. ¬(p → q) → ¬q
We know that a statement is a TAUTOLOGY is its value is always TRUE.
(a) The truth table is as follows :
r p ¬r ¬r→p ¬r ∨ (¬r → p)
T T F T T
T F F T T
F T T T T
F F T F T
So, the statement (a) is a tautology.
(b) The truth table is as follows :
p q ¬q p→q ¬(p→q) ¬(p→q)→q
T T F T F T
T F T F T T
F T F T F T
F F T T F T
So, the statement (B) is a tautology.
Hence proved.
Answer:

Step-by-step explanation:
The following expressions are used to transform from polar into rectangular form:


Now, the variables are substituted and equation is finally simplified:


The equivalent equation in rectangular coordinates is:
