Answer: (2,2), (4,2)
First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).
Answer:
Yes
We fail to reject the alternative hypothesis Hₐ < 30, that is the average age of students is less than 30
Step-by-step explanation:
Yes because, there is an average age of a sample which can be tested against a null hypotheses
We put
Null hypothesis as H₀ = 30
The alternative hypothesis as Hₐ < 30
We have
With
= 29
μ = 30
σ = 5.2
n = 65
α = 10%
We have
Here we have z = -1.55 and critical z = -1.28
Which gives a critical of 29.83 with the probability P = 0.061 < 0.1 Hence we reject the null hypothesis as there is sufficient evidence to suggest that the average age is less than 30 years.
Answer:
Step-by-step explanation:
B
Answer:
X =6
Step-by-step explanation:
Angles on a straight line add up to 180°
180-110=70
The 70° is the same on the angles above
70+8+17x=180
180-70=110
110-8=102
102/17=6
X=6
