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o-na [289]
2 years ago
9

The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and st

andard deviation sigma = 1.2 sec. what percentage of the runners have times less than 14.4 sec?
Mathematics
1 answer:
Maru [420]2 years ago
7 0

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%.

Learn more about standard deviation here:

brainly.com/question/475676

#SPJ4

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URGENT, please!!
lakkis [162]

The equation of the parabola is:

y = 24x^2

---------------------------

The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

y = 4p(x - h)^2 + k^2

  • Vertex at the origin means that h = 0, k = 0.
  • Focus (0,6) means that p = 6

Thus, the equation of the parabola is:

y = 4p(x - h)^2 + k^2

y = 4(6)(x - 0)^2 + 0^2

y = 24x^2

A similar problem is given at brainly.com/question/15165354

7 0
3 years ago
Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of
Marta_Voda [28]

Answer:

The weight of the brick is 60 ounce to the nearest ounce

Step-by-step explanation:

In this question, we are asked to calculate the weigh of Lou’s brick given the dimensions of the shape of the brick and the weight of the clay.

To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.

To calculate this volume , we simply use the measurements we have to get it.

mathematically the volume of a rectangular prism is simply V = w * h * l

where w , h and l are width, height and length respectively.

now let’s calculate!

V = 3.5 * 2.25 * 8 = 63 inches^3

Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.

Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce

7 0
3 years ago
Read 2 more answers
How many 1/8s are there in jacob's 6 aquriums
FromTheMoon [43]

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

have an amazing day!!!

4 0
2 years ago
If (X + 8) is a factor of f(x), which of the following must be true?
julsineya [31]

Answer: C

Step-by-step explanation:

If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,

X + 8 = 0

X = 0 - 8

X = -8

If -8 is substituted into f(x), the equation will tend to zero. That is,

F( -8 ) = 0

C is therefore the correct answer.

4 0
4 years ago
Simplify each expression using an exponent rule learned in class. <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7By%7D%7Bx%7D%20%
Maksim231197 [3]

Hey there! I'm happy to help!

If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us \frac{y^4}{x^4}.

Have a wonderful day! :D

3 0
3 years ago
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