Answer:
a) 10/3
b) hyperbola
c) x = ± 6/5
Step-by-step explanation:
a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

Given the conic equation: 
We have to make it to be in the form
:

Comparing with 
e = 10/3 = 3.3333, p = 6/5
b) since the eccentricity = 3.33 > 1, it is a hyperbola
c) The equation of the directrix is x = ±p = ± 6/5
Answer:
Step-by-step explanation:
From the information given, we would write the hypothesis.
For the null hypothesis,
H0 : µ = 70
For the null hypothesis,
Ha : µ > 70
This is a right tailed test because of the symbol of greater than.
The decision rule is to reject the null hypothesis if the level of significance is greater than the p value and accept the null hypothesis if the level of significance is lesser than the p value.
Therefore, since the significance level, 0.05 > p value, 0.01635, then we would reject the null hypothesis. There is enough evidence that the mean speed of all cars is greater than the posted speed limit of 70 mph.
Answer: Hannah had $16.00 left.
Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.
Let the total sum of the scores of the first class of 35 students be
a. The mean is 74.3
.
So

Also, let the total sum of the scores of the second class of 28 students be
b. The mean is 67.6 .
so

The combined group has 35+28=63 students. The sum of their scores is
a+b=2600.5+1892.8=4493.3
Thus, the mean of the combined group is

Answer:
The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
x -----> the speed of the wind in miles per hour
y ----> the speed of the jet in still air in miles per hour
we know that
<em>With a tailwind</em>

----> equation A
<em>With a headwind</em>

----> equation B
solve the system of equations A and B by elimination
Adds equation A and equation B

<em>Find the value of x</em>



therefore
The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph