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Deffense [45]
3 years ago
6

Martin would like to start training to run a marathon. The first week he runs a total of 15 miles. He would like to run 0.3 more

miles each week than the week before. How far will Martin run the second week?
Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer: 15.3 miles

Step-by-step explanation:

From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.

We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:

= 15 miles + 0.3 miles

= 15.3 miles

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3 years ago
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 unit
hjlf

Answer:

The equation in the polar form is;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}

For horizontal directrix

r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}

Where;

k = Distance from the focus to the directrix = 2

We have;

r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

Which gives the equation in the polar form as follows;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}.

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3 years ago
Factor completely, then place the answer in the proper location on the grid. 16x 2 + 8x - 15
Naddika [18.5K]
Step 1. 16x^2 + 20x - 12x -15
step 2. 4x(4x + 5) - 3 (4x + 5)
step 3. (4x + 5)(4x - 3)
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UkoKoshka [18]

Answer: 110

Step-by-step explanatio

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3 years ago
What is the mean, median, and standard deviation for the following set of scores: 24, 20, 16, 18, 18, 26, 22? Please show your w
MissTica

Answer:

first: Definitions

mean: the average or the most common value in a collection of numbers

(So u add all numbers and then divide the answer by how much numbers there were)

median: Is middle value.

(example:   4, 5, 6) (The median will be the middle which is 5) (But if there are even amount of numbers like this:      4, 5, 6, 7) (Then you will get the two middle numbers which in this case are 5 and 6 you add them and then divide by 2.)

standard deviation:  measures the spread of the data about the mean value

Step-by-step explanation:

Now lets get to problem!

we have numbers:

24, 20, 16, 18, 18, 26, 22

the mean will be: 144 (remember now you have to divide by 7 because there are 7 numbers.)

So it would be 20.57

Now the median:

(Since there are 7 numbers you just find the number in the middle and that would be ur median.)

24, 20, 16, 18, 18, 26, 22

median answer: 18

Like we said: The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

So the standard deviation will be: 3.6

I hope this helps  :)

6 0
3 years ago
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