IS there supposed to be an attachment i could look at?
Answer:
Step-by-step explanation:
Slope of line passing through
and
is given by,
m = 
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) = 
= 
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as 
Equation of a line passing through (11, 0) and slope = 
y - 0 = 
y =
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 = 
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 = 
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 = 
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 = 
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.
Answer:
The 99% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
In the study 380 babies were born, and 342 of them were girls.
This means that
99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:

As percentages:
0.8604*100% = 86.04%.
0.9396*100% = 93.96%.
The 99% confidence interval estimate of the percentage of girls born is (86.04%, 93.96%). Considering the actual percentage of girls born is close to 50%, the percentage increased considerably with this method, which means that it appears effective.
Answer:
She ran a total distance of 8,800m or 8.8km
Step-by-step explanation:
In this question, we are asked to calculate the total distance ran by Leilani if at each meet she runs a distance that is exactly equal to a quarter of the total and she competed 22 times during the year.
Firstly, we proceed to calculate the the distance she runs at each relay for her team. We were told she runs a distance equivalent to a quarter.
Mathematically, the distance she runs will be ; 1/4 * 1,600 = a distance of 400 meters
Now, we are told that she ran at 22 different track meets last year. So the total distance she ran will be 22 * 400 = 8,800m or 8.8km
Ok, great to have you! I will finally answer your question.
This seems to be a system of equations. I solve most of mine on Desmos.
Let us write two equations to model this:


We get the graph. Note the intersection at (26,33).
That means that route X is 26 miles long,and route Y is 33 miles long!.
Hope this helps.