Answer:
Step-by-step explanation:
n = 400
Proportion p = 229/400= 0.5725
For 95% confidence interval we use Z value as 1.96
Std error = 0.025
margin of error = 1.96*0.025
Confidence interval 95% = 0.5725±Margin of error
= (0.524, 0.621)
b) When smiled x becomes 277
p = 0.6925
Std error = 0.023
Margin of error= 1.96*0.023
Confidence interval = (0.647, 0.738)
Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.
Answer:
yes it is.
Step-by-step explanation:
16)
(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.
4x + 2 = 150
Subtract 2
4x = 148
Divide by 4
x = 37
So it will be A
17)
The two angles added up with each other
34 + 146 = 180
Since these two add up to 180 degrees, they would be supplementary angles.
So, H
18)
The two angles will make a 90 degree angle (as shown with the little box formed in the corner)
When angles add up to make 90 degrees, they will be complimentary angles.
So, C.
For this case we have the following polynomial:

Rewriting the polynomial we have:

From here, we can solve the polynomial using the quadratic equation
We have then:





Therefore, the solutions are:

