Answer:
95% Confidence interval: (0.361,0.539)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 120
Number of farmers who reusable cloth bags, x = 54
95% Confidence interval:
Putting the values, we get:
is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth bags.
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
x = 2
Step-by-step explanation:
The 2 coordinate points have the same x- coordinate of 2
This indicates that the line passing through them is vertical with equation
x = c
Where c is the value of the x- coordinates the line passes through, thus
x = 2 ← equation of line
Answer: Thus both of them got it correct
Step-by-step explanation:
Step 1
Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).
the Price will be 49-14.7=34:3
Step 2
Juan finds the sale price by multiplying 0.7(49).
0.7x 49 =34.3