Answer:
x = 0, y = -2
Step-by-step explanation:
-3x - 4y = 8 (1)
-4x - 3y=6 (2)
Multiply (1) by -4 and (2) by -3, we have:
12x + 16y = - 32 (3)
12x + 9y= -18 (4)
Subtract (4) from (3), we have:
(12x + 16y) - (12x + 9y) = - 32 - (-18)
<=> 7y = - 14
=> y = - 2
Replace y with - 2 in (3), we have x = 0
15 : 5 = 3$
Total cost : quantity = single cost
Answer:
x y
0 -1
-1 0
-8 7
Step-by-step explanation:
y = -x - 1
when x = 0, y = -1
when y = 0
0 = -x - 1
x = -1
when x = -8,
y = -(-8) - 1
y = 7
Answer:
90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.
Step-by-step explanation:
Confidence interval for true mean weight is given as sample mean +/- margin of error (E)
sample mean = 110 g
sample sd = 14 g
n = 16
degree of freedom = n - 1 = 16 - 1 = 15
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753
E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g
Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g
Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g
90% confidence interval is (103.8645, 116.1355)
Since CM is perpendicular to AB, it follows that ∠1 and <span>∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.
And since </span>∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = <span>∠B. (You can show this by showing that they must add up to 180 degrees.)
So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).</span>
