Answer:
The percentage of admitted applicants who had a Math SAT of 700 or more is 48.48%.
Step-by-step explanation:
The Bayes' theorem is used to determine the conditional probability of an event <em>E</em>, belonging to the sample space S = (E₁, E₂, E₃,...Eₙ) given that another event <em>A</em> has already occurred by the formula:
Denote the events as follows:
<em>X</em> = an student with a Math SAT of 700 or more applied for the college
<em>Y</em> = an applicant with a Math SAT of 700 or more was admitted
<em>Z</em> = an applicant with a Math SAT of less than 700 was admitted
The information provided is:
Compute the value of as follows:
Compute the value of P (Y|X) as follows:
Thus, the percentage of admitted applicants who had a Math SAT of 700 or more is 48.48%.
2t + 4 < -8
2t < -12
t < -6
For the inequality to be true, t must be a number that is less than -6.
Hope this helps!
Answer:
0.395 kilometre
Step-by-step explanation:
Given:
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.
On his second stroke, the ball traveled 79 meters and went into the hole.
<u>Question asked:</u>
How many kilometres from the hole was Martin when he started?
<u>Solution:</u>
Let distance from Martin starting point to the hole in meters =
On Martin's first stroke, ball traveled =
On his second stroke, the ball traveled and went to the hole = 79 meters
Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke
Now, convert it into kilometre:
1000 meter = 1 km
1 meter =
395 meters =
Thus, there are 0.395 kilometre distance from Martin starting point to the hole.
240 for # 2 because 6 times 4 times 10 is equal to 240
I am still working on others
Answer:
Volume = V= 346.43 cm ^3
Step-by-step explanation:
15.32 x 10 = 153.2cm Area of side
We find the height of the cylinder, to enable the radius/2 for the circle side x 2
it would be the same as triangle side 6 but the exact circumference is worked out at 6.37
We start by finding the side
As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi
10 +10 =20cm circumference.
20/6.28 =3.1847133758 = radius
we x 2 and find the height
3.1847133758 x 2 = 6.3694267516
rounded to nearest 10th = 6.4 units exact 6.37
We find other measurements before calculating volume.
and b = √400-√100 = √300
b= 17.32 (height for volume use) or length of right side cylinder
c= 20 hypotenuse.
Volume = πr2h
V= 3.14 * 6.37 * 17.32 =346.43
V= 346.43 cm ^3
V= 346 cm ^3 to nearest 10th
V= 346.43 cm^3