Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is 
where 
and 
are the sample proportion and sample size of the first sample, and 
and 
are the sample proportion and sample size of the second sample.
We see that 
and 
. We also know that a 98% confidence level corresponds to a critical value of 
, so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
Absolute value of -3 is three, and then it just regular -3 equals -3 so basically whenever you see at -3 in those brackets or any negative number it means absolute value which will always be it’s positive version That negative number
Answer:
x = 79°
Step-by-step explanation:
The arrows on the line segments indicate that the lines are <u>parallel</u>.
As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length. Therefore, we can apply the Alternate Interior Angles Theorem.
<u>Alternate Interior Angles Theorem</u>
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Therefore, the missing angle in the triangle including angle x is 28°.
Interior angles of a triangle sum to 180°
⇒ 73° + 28° + x = 180°
⇒ x = 180° - 73° - 28°
⇒ x = 79°
Let
I1-------------> interest first day
I2-------------> interest second day
we know that
P0=$73000----------> initial amount
first day
I1=73000*(5%/100)*(1/365)-----------> I1=$10
P1=P0+I1------> $73000+$10-------- P1=$73010
second day
P1=$73010
I2=73010*(5%/100)*(1/365)-----------> I2=$10
P2=P1+I2------> $73010+$10-------- P2=$73020
the answer is $73020
