Vertical angles are equal
7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7
m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
Answer:
18,000 forks
Step-by-step explanation:
They are making 3,000 forks each hour for 6 hours, so you would multiply 3,000 by 6. 3,000 multiplied by 6 is 18,000.
Answer:
y=1/4x+6 1/4
Step-by-step explanation:
(1) 2 of one step equations
x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31
n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7
(2) 2 equations with fractions
3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3
1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4
(3) distributive property
3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18
Answer: 95% confidence interval would be (26.01,29.39).
Step-by-step explanation:
Since we have given that
n = 50
Mean = 27.7
Standard deviation = 6.12
We need to construct 95% confidence interval for the population.
so, z = 1.96
So, it becomes,
Hence, 95% confidence interval would be (26.01,29.39).
