Answer:
The answer to your question is: third option is correct
Step-by-step explanation:
Data
F (5, -1)
directrix y = 1
Then, after getting the graph, the vertix = (5, 0)
and p = 1
Formula
(x - h) ² = -4p(y - k)
(x - 5)² = -4(1)(y - 0)
(x - 5)² = -4y
y = (x - 5)² / -4
The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.
<h3>What is division?</h3>
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are given below.
(9.6 x 10⁻⁸) and (3.2 x 10⁴)
Then the quotient of the expressions will be
⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)
⇒ (3 x 10⁻⁸) / (10⁴)
⇒ 3 x 10⁻⁸ x 10⁻⁴
⇒ 3 x 10⁻⁸⁻⁴
⇒ 3 x 10⁻¹²
Then the correct option is D.
More about the division link is given below.
brainly.com/question/369266
#SPJ1
Answer:
39 and 27
Step-by-step explanation:
GIVEN: Robbie, has scored
so far this season. He has scored all of his points on
-point extra point kicks and
-point field goals. He has made a total of
kicks.
TO FIND: How many of each kick has he made.
SOLUTION:
Lets extra point kicks made by Robbie be 
points scored using extra point kick 
field goal kicks made by Robbie 
point scored using field goal kick 
Total points scored by Robbie 
Total points scored are the sum of points scored by extra point kicks and field goal kicks.




total extra point kicks 
total field goal kicks 
Hence Robbie made 39 and 27 kicks of extra point kick and field goal kicks respectively.
Answer:
T= -5.74
Step-by-step explanation:
Answer:
The 95 % confidence interval for the mean is between 28.09 and 35.97.
Step-by-step explanation:
Mean of the sample:
30 values.
So we sum all the values and divide by 30.
The sum of all the values(43 + 52 + 18 + ... + 20 + 41) is 961.
961/30 = 32.03
Confidence interval:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 32.03 - 3.94 = 28.09
The upper end of the interval is the sample mean added to M. So it is 32.03 + 3.94 = 35.97
The 95 % confidence interval for the mean is between 28.09 and 35.97.