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satela [25.4K]
3 years ago
10

Race times at the local monthly 5k run are normally distributed, with a mean time of 32 minutes and a standard deviation of 4 mi

nutes. Using the empirical rule, approximately what percent of racers cross the finish line between 28 and 36 minutes? 32% 68% 95% 99.7%
Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

68%

Step-by-step explanation:

The mean is 32 minutes, and the standard deviation is 4 minutes.

28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.

According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations.  95% is between -2 and 2 standard deviations.  99.5% is between -3 and 3 standard deviations.

So the answer is 68%.

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prove that the fast squaring trick for two-digit numbers ending in 5 works. the trick: if you have a 2-digit number that ends in
blondinia [14]

The procedure to squaring a two digit number is by multiplying the first number by a integer greater than the number and putting 25 beside it.

Finding the Square of a Value is a simple method. Multiply the specified integer by itself to determine the square number. The square term is always represented as an integer multiplied by two. For example, the square of 5 is 25 multiplied by 5, giving 5×5 = 5² = 25.

What if we want to calculate the square root of a two-digit number . It might be a little challenging. Ordinary multiplication cannot be used to compute the square of two-digit values. This article will show us how to calculate the precise square of such integers.

Simply multiply a single-digit number by itself to find its square. Furthermore, by memorizing the tables from 1 to 10.

We taught about two triangles and how to find the point of any base of a triangle given the other two sides using Pythagoras' theorem.

A right triangle has three sides: the hypotenuse, perpendicular, and base. Pythagoras' theorem states that

Hypotenuse² = Perpendicular² + Base².

to learn more about number visit:

brainly.com/question/17429689

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5 0
1 year ago
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Orlov [11]

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

8 0
2 years ago
Round 62,981 to the nearest thousand.
olga2289 [7]

Answer:

63,000

Step-by-step explanation:

When 981 is rounded to the nearest thousand, it is equal to 1,000. Add this to the remaining number, 62,000, and voila! you get it!

62,000 + 1,000 = 63,000

If you want this explained further, please just let me know!

Thanks!

7 0
3 years ago
Read 2 more answers
Write an
Neporo4naja [7]

Answer:  f(x) = 2x - 3

===================================================

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

m = (y2-y1)/(x2-x1)

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

y - (-5) = 2(x - (-1))

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3

8 0
3 years ago
The prime factorization of a number is 2^5x3^2x5 what is the number
statuscvo [17]

Answer:

Step-by-step explanation:

Remember to break these apart by using the powers to determine the number the base and power make.

2^5 = 32

3^2 = 9

5 = 5

32 * 9 * 5 = 1440

7 0
3 years ago
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