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BartSMP [9]
3 years ago
10

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. What is the length of each shorter piece of rope? Enter you

r answer as a fraction in simplest form by filling in the boxe
Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

\text{Length of each shorter piece of rope}=8\text{ meter}

Step-by-step explanation:

We have been given that Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. We are asked to find the length of each shorter piece of rope.

To find length of each shorter piece of rope, we will divide total length of rope by 2 because Juan cuts the rope into two equal pieces.

\text{Length of each shorter piece of rope}=\frac{16\text{ meter}}{2}

\text{Length of each shorter piece of rope}=8\text{ meter}

Therefore, the length of each shorter piece of rope would be 8 inches.

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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 value of x? ​
stich3 [128]

Answer:I think the answer is x=25 sorry if im wrong ツ.

Step-by-step explanation:

Hope this helps you out ツ

8 0
3 years ago
A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?
Advocard [28]

Answer:

The volume of the box is V=(4x^3+16x^2+15x)\ in^3

Step-by-step explanation:

we know that

The volume of the box is equal to

V=LWH

where

L is the length of the box in inches

W is the width of the box in inches

H is the height of the box in inches

we have

L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in

substitute in the formula

V=(2x+5)(2x+3)x

V=(4x^2+6x+10x+15)(x)

V=(4x^2+16x+15)(x)

V=(4x^3+16x^2+15x)\ in^3

6 0
3 years ago
Help me please help
ololo11 [35]

Answer:

D.) Not enough information

Step-by-step explanation:

The marks are the same, but they aren't placed in the same position in the triangles.

8 0
3 years ago
Find how many terms of the following series are needed to make the given sum: 5+8+11+14+...=670?
Fynjy0 [20]
You need 16 more terms not 17 because you already have 4 terms in the series so if you add those 4 terms to the other 16 terms to the series you get a total of 20 terms in total. I hope this helped.
7 0
3 years ago
Read 2 more answers
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