Answer:
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means 
and we don't have enough evidence to conclude that the two population variances and deviations are different.
Step-by-step explanation:
System of hypothesis
We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:
H0: 
H1: 
Calculate the statistic
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means and we don't have enough evidence to conclude that the two population variances and deviations are different.
Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
Answer: 44 ft
Step-by-step explanation:
if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.
The left rectangle is
8+8=16
6+6=12
16+12=28
Now you add the square on the right to the square on the left which is
28+16= 44 ft
X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
Answer:
71°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.
180°=38°+x+?
180°=38°+71°+71°
Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.
