Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
Answer: 3.374
You subtract 5.316 from 1.942 and get 3.374
Hope this helps :)
Finding the intercepts is a very straight-forward process. First set y = 0 and solve the equation for x. That is your y-intercept! Then go back to the original equation and set x = 0 and solve for y. That is your x-intercept! For a linear equation like this there is only one x-intercept. For any "function" y(x) there can by definition be only one y-intercept.
(x+1)(x+14) This would be the answer
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.
