(1.) antelope sprinted the farthest
(2.) cba doing this one lol
Step-by-step explanation:
In statistics, the empirical rule states that for a normally distributed random variable,
- 68.27% of the data lies within one standard deviation of the mean.
- 95.45% of the data lies within two standard deviations of the mean.
- 99.73% of the data lies within three standard deviations of the mean.
In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

where the symbol
(the uppercase greek alphabet phi) is the cumulative density function of the normal distribution,
is the mean and
is the standard deviation of the normal distribution defined as
.
According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution
,

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.
Answer:
16/52, or 4/13.
Step-by-step explanation:
First, since we know that the question is asking for the probability of a club <u>or</u> a jack, we know that we have to add the two probabilities. The first probability is that of picking a club, which is 13/52. The probability of picking a jack (be sure not to overlap; don't double count the jack of clubs) is 3/52. Adding these two gives us 13/52+3/52=16/52, which simplifies to 4/13.
Answer:

Step-by-step explanation:
Let r represent Linda's walking rate.
We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be
miles per hour.

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.


Since both times are equal, so we will get:

Therefore, the equation
can be used to solve the rates for given problem.
Cross multiply:





Therefore, Linda's walking at a rate of 3 miles per hour.
Linda's bike riding rate would be
miles per hour.
Therefore, Linda's riding the bike at a rate of 12 miles per hour.
The numbers are 3 and 7
Step-by-step explanation:
Let the first number be x and the second number be y
Then according to given statement
One number added to three times another number is 24
x+3y=24 Eqn 1
Five times the first number added to three times to other number is 36
5x+3y=36 Eqn 2
Subtracting Equation 1 from equation 2

Dividing both sides by 4

Putting x=3 in equation 1

Dividing both sides by 3

Hence,
The numbers are 3 and 7
Keywords: Linear equations, Variables
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