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satela [25.4K]
4 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]4 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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At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost
Olegator [25]

Answer:

37.95

Step-by-step explanation:

MATH

8 0
2 years ago
Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 t
FromTheMoon [43]

Answer:

Theoretical probability = 50%

Experimental probability varies.

See below for explanation.

Step-by-step explanation:

This is a problem on theoretical and experimental probability. The results obtained would enable you understand their differences.

The theoretical probability is the result that is expected to happen, but it isn't always what eventually happens.

The theoretical probability of a coin landing on heads is ½ or 50%. This is same for tails.

The experimental probability is the probability obtained from carrying out the experiment. As this is the result of what actually happens, the experimental probability could be lesser  or greater than or equal to 50%.

You are required to carry out the experiment. This is because the result would vary from person to person as well as from one experiment to the other.

First, make a table for the number of trials, outcome (head and tail each) and the frequency. Pen down the result for each of the experiment carried out. You can use a tally to make it easy for compilation.

See attachment for table.

Theoretical probability of 10 trials:

Head= 5, tail = 5

Theoretical probability of 30 trials:

Head= 15, tail = 15

Theoretical probability of 100 trials:

Head= 50, tail = 50

It all amount to 50% each

So do your experiment and record the results. Afterwards compare your result  which is the experimental probability

for head and tail with the theoretical theoretical.

Also compare your result with that of your classmate.

8 0
4 years ago
A store owner was buying uniforms for his employees. If each of his stores needed 79 uniforms and he had 64 stores which express
seraphim [82]

Answer:

C)  The total number of  about uniforms needed is  60 x 80 uniforms.

Step-by-step explanation:

The Number of total stores the owner has = 64 stores

The number of employees uniform needed in 1 store  = 79 uniforms

Now, 64 is Rounded off to about 60.

and 79  is Rounded off to about 80.

⇒ The total number of uniforms in 60 stores = 60 x ( uniform in 1 store)

= 60 x  (80 uniforms)  

or, the expression of total uniforms needed = 60 x  (80 uniforms)  

Hence, the total number of  about uniforms needed is 60 x 80 uniforms.

4 0
3 years ago
The length (L) of a simple pendulum is directly proportional to the square of the time period (T). Which type of graph can best
jek_recluse [69]
<span>The length (L) is directly proportional to the square of the time period (T) =>

L = K * T^2

That is a quadratic relation.

Answer: e. quadratic
</span>
3 0
3 years ago
Read 2 more answers
I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equat
Trava [24]

Answer:

a=22,\\b=31,\\c=13

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}

16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}

34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}

8 0
3 years ago
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