Answer:
0.5934% probability that a baseball player will play at an NCAA college and will also go on to be drafted by the MLB
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Playing at an NCAA college.
Event B: Being drafted by the MLB.
6.9% will play in an NCAA college
This means that 
8.6% of the college players will go on to be drafted by the MLB.
This means that 
What is the probability that a baseball player will play at an NCAA college and will also go on to be drafted by the MLB?
0.5934% probability that a baseball player will play at an NCAA college and will also go on to be drafted by the MLB
The volume of a rectangular prism is given by
area of base × height
The rate at which the tank is being filled is 1 liter per minute which we need to convert
1 liter = 1 dm³
But 1 dm = 10 cm. Hence
1 liter = (10 cm)³ = 1000 cm³
The height h of the water is related to the volume by
volume = area of base × h
In one minute the volume increases by 1 liter or 1000 cm³ and the height increases by
h = volume / area of base = 1000 cm³ / 100 cm² = 10 cm <span>
</span>
The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
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Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
The values based on the calculus computed will be 10✓5, 10✓1, and 20.
<h3>How to calculate the value?</h3>
dy/dt = 5 units.
Differentiate with respect to t.
dx/dt = 1/2✓x dx/dt
dyldt = 5.
dx/dt = 2✓x × 5 = 10✓x
a. When x = 1/5
dx/dt = 10 × ✓1/5 = 10✓5
b. x = 1
Differentiate it
dx/dt = 10✓1
c. x = 4
dx/dt = 10✓4 = 20
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