3x + 2y = 10 ....multiply by -4
12x + 5y = 25
-------------------
-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
Answer:
<em>y = - </em>
<em> x + </em>
<em> </em>
Step-by-step explanation:
(6, 4)
(1, 8)
m =
= -
y - 4 = -
( x - 6 )
<em>y = - </em>
<em> x + </em>
⇔ y = - 0.8x + 8.8
Answer:
B.
Step-by-step explanation:
Because of isosceles triangle, AB = CB.
Because of the median, AD = CD.
Because of congruence of segments being reflexive, BD = BD.
By SSS, the triangles BAD and BCD are congruent.
Answer: B.
According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:

The z-score for 1.5 flaws per square yard is:

The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.