The percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
<h2>What is standard deviation?</h2>
The standard deviation of a data set is defined as how the data is dispersed in relation to the mean.
From the question,
The raw time given (X) = 14.4 sec
The mean value(m) = 18sec
The standard deviation(d) = 1.2 sec
Using the formula,
z = X - m/ d
z= 14.4- 18/1.2
z = -3.6/1.2
z= -3
Using a Z table to find the percentage equivalent of P(x<14.4) is 0.0013499 which is approximately = 0.15%.
Therefore, the percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
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You did not add in your following statements.
There are 2,000 pounds in each ton so there must be 4,000 pounds in 2 tons.
The answer is 4,000 pounds.
Hope this helps!!
The height of the building is 210 feet.
<u><em>Explanation</em></u>
A 42 feet tall flagpole casts a shadow 9.2 feet long. That means, the ratio of the length of flagpole to the length of its shadow will be:
Now, a building casts a shadow 46 feet long. Suppose the height of the building is feet.
As the <u>ratio will be same for Flagpole and Building at same time</u>, so....
So, the height of the building is 210 feet.
Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )