Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
Answer:
or -0.625
Step-by-step explanation:
The slope formula is as shown:

We can have A = (
,
) and B = (
,
).
We can hence plug in the values into the formula to get
.
As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

Brainliest would be appreciated!
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:

We have two solutions for this problem based on the given equation.
<u><em>Answer #1:</em></u>
<u>If the given equation was:</u>

To solve for f, we would need to isolate the "f" on one side of the equation.
In case of the above equation, we can simply do that by subtracting
from both sides of the equation
<u>This would give:</u>
f +
-
= 6 - 
f = 6 - 
<u><em>Answer #2:</em></u>
<u>If the given equation was:</u>

To solve for f, we would still need to isolate the "f" on one side of the equation.
<u>This can be done as follows:</u>
................> multiply both sides by (g)
f + 4 = 6g ................> subtract 4 from both sides of the equation
f + 4 - 4 = 6g - 4
f = 6g - 4
Hope this helps :)