Answer:
Option D. is correct.
Step-by-step explanation:
Let us assume that x = seven square root three plus two square root nine
i.e. x = 7√3 + 2√9
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
⇒ x = 7√3 + 6
Here, 7√3 is an irrational number and 6 is a rational number.
The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D. is correct.
Answer: 380.5
Step-by-step explanation: you can type it into desmos graphing calculator
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Answer:
ok
Step-by-step explanation:
5288
Answer: (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
Step-by-step explanation:
We know that the confidence interval population proportion (p) is given by :-
, where 
= sample proportion.
z* = Critical value (Two -tailed)
SE = standard error
Given : In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks), a substantial drop since the late 1990s.
SE = 0.019
Significance level =
Two-tailed value corresponds for 
:
z*=1.96 [Using z-table]
Now, the 95% confidence interval for the proportion of high-school seniors in the sample who would report binge drinking will be :-
Hence, the correct answer = (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
