It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
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The probabilities are:
- P(red) = 5/24
- P(orange) = 0
- P(blue) = 1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow) = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0 (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
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Answer:
X ≥ 3.5
Step-by-step explanation:
-2x-6≤1
+6 +6
-2x≤7
-2x/2 7/2
x ≥ 3.5
Complete Question
A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?
Answer:
The margin of error is 
The sample mean is 
Step-by-step explanation:
from the question we are told that
The upper limit is 
The lower limit is 
Generally the margin of error is mathematically represented as
Generally the sample mean is mathematically evaluated as
=> 
=>
Answer:
4 - r/3 = 7 and 4 - r/3 = -7
Step-by-step explanation:
absolute value equations get split into a positive equation and a negative equation
4 - r/3 = 7 and 4 - r/3 = -7
