Step-by-step explanation:
open the bracket
6={(1/5×4y) + 1/5×10}
6=4/5y+2
6-2=4/5y
4=4/5y
divide both sides by 4/5
y=1/5
Since he bought 2 model cars for $8.95 each, he bought both for $17.90. Now, subtract this from the total cost to get the cost of paint. $23.65-$17.90=$5.75. So, the total costs of paints are $5.75. Hope this helped!
Answer:
The margin of error for the 90% confidence interval is of 0.038.
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 zscore that has a pvalue of 
.
The margin of error is:
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that 
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Give the margin of error for the 90% confidence interval.
The margin of error for the 90% confidence interval is of 0.038.
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 <em>(note: the y-intercept can also be found when x=0, for example (0,9).</em>
Hope this helped, good luck!
