Answer:

Step-by-step explanation:
step 1
Find the slope of the line that is perpendicular to the given line
we have
-----> given line
The slope of the given line is

Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
therefore
The slope of the line that is perpendicular to the given line is

step 2
Find the equation of the line in slope intercept form

we have

substitute

solve for b

therefore

Answer:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore
is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.
This is the binomial probability distribution.
<span>n = 10 (</span>the number of randomly selected Texans)
<span>p = 0.4965 (t</span>he probability that randomly selected Texan will be male)
<span>q = 0.5035 (</span>the probability that randomly selected Texan will be female)
Answer:
Step-by-step explanation:
The sample proportion 

The null hypothesis and the alternative hypothesis:

Thus; the test statistics is:





P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
Step-by-step explanation:
x+40%x=50%×480ml
x being 100% alcohol
14x=240ml
x=120/7 ml
x=17.(142857) ml