Answer:
0.2508
Step-by-step explanation:
The question asks for a conditional probability.
P(a household owns a dog if it owns a pet) = 0.67
Then P(a household does not own a dog if it owns a pet) = 1 - 0.67 = 0.33
P(a household owns a cat if it owns a pet) = 0.24
Then P(a household does not own a cat if it owns a pet) = 1 - 0.24 = 0.76
P(if a household owns a pet but the pet is not a cat or dog) = P(if a household owns a pet, it does not own a cat) × P(if a household owns a pet, it does not own a dog) = 0.33 × 0.76 = 0.2508
Alright - we want to start off by seeing if this number would be positive or negative. Debit means that you owe something, or that you have to pay that amount of money. If you had money to buy things with, that would be positive, but since debit means you haven’t paid something off yet, that is negative. Next, since you have 40 dollars in debt, you have -40 dollars.
Feel free to ask further questions!
Answer:
(2,-3)
Step-by-step explanation:
I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer:
Many expressions would satisfy this set. One example would be y = 7x + 2
Step-by-step explanation:
To find this, give x a random coefficient, for this purpose, we'll use 7.
y = 7x + c
Now plug in and solve to get the constant.
-33 = 7(-5) + c
-33 = -35 + c
2 = c
Now model the equation.
y = 7x + 2
