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DerKrebs [107]
2 years ago
11

In a story, a tortoise and a hare take part in a race.

Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

Answer:

418 meters

Step-by-step explanation:

The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.

Equation to solve :996-578=x

x=418

Hope this helps, let me know if I am wrong. Have a good day:)

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Evaluate the expression when c=2. 6c/2​
marshall27 [118]

Answer:

<h3>6</h3>

Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

Substitute c = 2 into the expression

g(2) = 6(2)/2

g(2) = 12/2

g(2) = 6

<em>Hence the result when c = 2 is 6</em>

6 0
3 years ago
Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

5 0
3 years ago
What is the explicit equation for the sequence of 25, 21, 17, 13?
OlgaM077 [116]

Answer:

You are taking away 4 each time

Step-by-step explanation:

25 - 4 = 21

21 - 4 = 17

17 - 4 = 13

13 - 4 = 9

3 0
3 years ago
A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble afte
mr Goodwill [35]
So,

The probability of drawing a yellow marble is \frac{3}{7}.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: \frac{3}{7}.

The probability of drawing a red marble is \frac{4}{7}.

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

( \frac{3}{7} )( \frac{3}{7} )( \frac{4}{7} ) =  \frac{36}{343}

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
3( \frac{36}{343} ) =  \frac{108}{343}
6 0
2 years ago
The sun is 93,000,000 miles from Earth. What is the value of the 3 in the number 93,000,000
Lostsunrise [7]

Answer:

three million

Step-by-step explanation:

3 0
3 years ago
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