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Dafna1 [17]
3 years ago
13

The Baltimore Marathon features a relay race.

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

S = 149\ min

or

S = 2\ hr\ 29\ min

Step-by-step explanation:

Let S be the sum of the times for all winning team.

Given:

leg 1. 32 minutes 56 seconds.

leg 2. 42 minutes 28 seconds.

leg 3. 34 minutes 34 seconds.

leg 4. 39 minutes 2 seconds

We need to find the total time to run all four  legs of the marathon.

Solution:

Sum of the times for all winning team.

Sum\ of\ the\ times = leg\ 1 + leg\ 2 + leg\ 3 + leg\ 4

Substitute running times for all legs.

S = 32\ min\ 56\ sec+ 42\ min\ 28\ sec + 34\ min\ 34\ sec + 39\ min\ 2\ sec

Now, we write the minutes and seconds separately.

S = (32+42+34+39)min+(56+28+34+2)sec

S = (147)min+(120)sec

120\ sec =\frac{120}{60} = 2\ min

S = (147)min+(2)min

S = 149\ min

Therefore, Total time taken by all four legs S = 149\ min  or S = 2\ hr\ 29\ min.

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liubo4ka [24]

For this case we have that by definition, the density is given by:

d = \frac {M} {V}

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g

So the volume is:

V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3

Thus, the volume of the diamond is approximately 0.03 \ cm ^ 3

Answer:

0.03 \ cm ^ 3

3 0
4 years ago
The mean life of a particular brand of light bulb is 1200 hours. if you know that at about 95% of this brand of bulbs will last
Snowcat [4.5K]
<span>204
   First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation. 800 is 800 - 1200 = -400 to the left of the mean of 1200. 1600 is 1600 - 1200 = 400 to the right of the mean of 1200. So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is: 400 / 1.96 = 204.0816327
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4 0
3 years ago
The surface area of a cone is 25.6π in2 and the slant height is 2.4 in. What is the radius of the cone?
Gnoma [55]
1.2 i hope I am correct
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4 years ago
Adriana va a llenar bolsas de dulces para su fiesta de cumpleanos si tiene un paquete con 100 paletas y otro con 56 chocolates y
lions [1.4K]

Answer:

56 bags of a chocolate and a popsicle

Step-by-step explanation:

The first thing is to find the relationship between the number of popsicles and the number of chocolates, which would be the quotient of these:

100/56 = 1.78

Since it does not reach number two, you cannot add 2 popsicles and 2 chocolates, therefore the only way that they contain the same amount is that there is a chocolate and a popsicle, that is to say that a total of 56 bags would come out.

6 0
3 years ago
What is the difference of ( 3x^2 - 2x +5 ) - ( x^2 + 4x - 11 ) written in standard form ?
lyudmila [28]

Answer:

–3x + 22

Step-by-step explanation:

x + 2(x – [3x – 8] + 3)

x + 2(x – 1[3x – 8] + 3)

x + 2(x – 1[3x] – 1[–8] + 3)

x + 2(x – 3x + 8 + 3)

x + 2(–2x + 11)

x + 2(–2x) + 2(+11)

x – 4x + 22

1x – 4x + 22

–3x + 22

5 0
3 years ago
Read 2 more answers
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