Answer:
Step-by-step explanation:
3x+4y=29 .......(1)
6x+5y=43 .......(2)
Multiply equation (1) by 2
6x + 8y = 58......(3)
Substracting (2) from (3)
8y - 5y = 58 - 43
3y = 15
Dividing by 3
3y/3 = 15/3
y = 5
Substituting y = 5 into (2)
6x+5y=43
6x + 5(5) = 43
6x + 25 = 43
6x = 43 - 25
6x = 18
Dividing by 6
6x/6 = 18/6
x = 3
Answer:
7 dollars
Step-by-step explanation:
Because 1/2 a pound is half of 1 pound and 3.50 is the value of half that pound, you can add 3.50 to 3.50 to get 7 dollars which is the value for 1 pound
Answer:
The equation of the line is y - 6 = -14/11(x + 4)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -8)/(-4 - 7)
m = (6 + 8)/(-4 - 7)
m = 14/-11
m = -14/11
Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.
y - y1 = m(x - x1)
y - 6 = -14/11(x + 4)
Answer:
The probability that the cost for someone's dog is higher than for the cat is 33.2%.
Step-by-step explanation:
With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.
To know the probability of the cost for the dog is higher than the cat, we have to calculate the probability of P(d>0).
Then we have to calculate z, and look up in a standarized normal distribution table.
Calculate z:

The probability of the difference being higher than 0, we have:

We can say that the probability that the cost for someone's dog is higher than for the cat is 33.2%.