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Vadim26 [7]
2 years ago
11

Subway train arrives at the station every eight minutes you have a doctors appointment at the station so you take the subway and

arrive at 10:04 you are finished with your appointment at 11:15 will be the next train that will be the next train arrival at the station
Mathematics
2 answers:
topjm [15]2 years ago
8 0
One min after it ends
allochka39001 [22]2 years ago
5 0
The train will arrive at 8:15
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Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep
Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

I=\frac{P\times r\times t}{100}

Where P is principal amount, r is rate of interest in percentage and t is time in years.

I=\frac{1087\times 11\times 1}{100}

I=119.57

The interest paid by Zack is $1,087.

The total amount of money he will repay is

1,087+119.57=1,206.57

Therefore option d is correct.

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2 years ago
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According to a Los Angeles Times study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for me
Reil [10]

Answer:

a) \bar X=10.65

Median =\frac{10.7+10.7}{2}=10.7

Mode= 10.7

b) Range = 11.8-8.3=3.5

s= 0.948

c)IQR = Q_3 -Q_1 = 11.05-10.55=0.5

And we can find the usual limits with:

Lower = Q_1 -1.5 IQR = 10.55 -1.5*0.5=9.8

Upperer = Q_3 +1.5 IQR = 10.55 +1.5*0.5=11.3

And since 8.3 <9.8 we can consider this value too low or as an outlier for this case.

d) The mean for this case was 10.65 and the usual values are between 9.8 and 11.3, so as we can see all are above the specified value of 6 minutes, and we can conclude that the times are not satisfying the quality standards for this case.

And they should be considered apply some strategies to reduce the response time, adding more stations around points selected at the city could be useful in order to reduce the response time.

Step-by-step explanation:

We have the following data:

11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2

Part a

We can calculate the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And if we replace we got: \bar X=10.65

For the median we need to sort the values on increasing order and we have:

8.3 10.3 10.5 10.6 10.7 10.7 10.9 11.2 11.5 11.8

Since n =10 we can calculate the median as the average between the 5th and 6th position of the dataset ordered and we got:

Median =\frac{10.7+10.7}{2}=10.7

The mode would be the most repeated value on this case:

Mode= 10.7

Part b

The range is defined as Range =Max-Min and if we replace we got:

Range = 11.8-8.3=3.5

We can calculate the standard deviation with the following formula:

s= sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And if we replace we got:

s= 0.948

Part c

For this case we can use the IQR method in order to determine if 8.3 is an outlier or not.

We can calculate the first quartile with these values: 8.3 10.3 10.5 10.6 10.7 10.7 and Q_1= \frac{10.6+10.7}{2}=10.55

And for the Q3 we can use: 10.7 10.7 10.9 11.2 11.5 11.8 and we got Q_3 = \frac{10.9+11.2}{2}=11.05

Then we can find the IQR like this:

IQR = Q_3 -Q_1 = 11.05-10.55=0.5

And we can find the usual limits with:

Lower = Q_1 -1.5 IQR = 10.55 -1.5*0.5=9.8

Upperer = Q_3 +1.5 IQR = 10.55 +1.5*0.5=11.3

And since 8.3 <9.8 we can consider this value too low or as an outlier for this case.

Part d

The mean for this case was 10.65 and the usual values are between 9.8 and 11.3, so as we can see all are above the specified value of 6 minutes, and we can conclude that the times are not satisfying the quality standards for this case.

And they should be considered apply some strategies to reduce the response time, adding more stations around points selected at the city could be useful in order to reduce the response time.

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Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to t
ycow [4]

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our <em>x</em> is positive, we are going to the right of the x-axis (where positive values lay).

Since our <em>y</em> is negative, we are going down in the y-axis (where negative values lay).

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Which expression is the result of solving the equation ax - b = cy for 2? (For a + 0)
Masja [62]
I would say cy hopes this help
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2 years ago
The velocity v of blood that flows in a blood vessel with radius r and length ℓ at a distance r from the central axis is v(r) =
pogonyaev
v(r)=4P\eta\ell(R^2-r^2)

(assuming R is the radius of the vessel, and that 0\le r\le R)

The average velocity of the blood is given by

\displaystyle\frac1{R-0}\int_{r=0}^{r=R}v(r)\,\mathrm dr
=\displaystyle\frac{4P\eta\ell}R\int_{r=0}^{r=R}(R^2-r^2)\,\mathrm dr
=\dfrac{4P\eta\ell}R\left(\dfrac23R^3\right)
=\dfrac{8P\eta\ell}3R^2
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