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abruzzese [7]
3 years ago
10

A runner training for a marathon ran 18 miles in 150 minute.Find the length of time it takes the runner to cover 1 mile. Round t

o the nearest tenth.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

8.3

Step-by-step explanation:

I did 150 divided by 18 and got 8.33333333333 and rounded it to 8.3

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Solve the quadratic equation x2 – 14x + 40 = 0
goldfiish [28.3K]
What 2 numbers multiply to get 40 and add to get -14
-10 and -4

(x-4)(x-10)=0
set to zero

x-4=0
x=4

x-10=0
x=10

x=4 and 10
3 0
3 years ago
In a recent health survey, 333 adult respondents reported a history of diabetes out of 3573 respondents. What is the critical va
adoni [48]

Answer:

The critical value for the 90% confidence interval is Z_c = 1.645.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The critical value for the 90% confidence interval is Z_c = 1.645.

6 0
3 years ago
Find the height of the tree if it casts a 28 foot shadow and the 6 foot 3 inch man casts a 7 foot shadow. ​
neonofarm [45]

Answer:

25 ft

Step-by-step explanation:

The tree's shadow is 4 times the length of the man's shadow, so we presume the tree is 4 times the height of the man: 4 × (6 ft 3 in) = (24 ft 12 in) = 25 ft.

4 0
3 years ago
Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P.
Sauron [17]

Answer:

(x - 2)^{2}  + y^{2}  = 20

7 0
3 years ago
15. Mark Twain one observed that the lower Mississippi River is very crooked and that over the years, as the bends and turns str
MrMuchimi

Answer:

Step-by-step explanation:

I'm sure he was making a joke at the expense of people who rely on mathematics rather than common sense. It is funny, but then Twain was a remarkably funny author..

The problem is that the comparison is apt using some sort of proportion, but it is absurd to think that the land holding the river would also shrink a proportional amount.  

The river reached a minimum (presumably) in 1875 by cutting out all the loops that were there in 1700. The Mississippi was then a straight line from it's beginning to its delta on the gulf of Mexico. It could not get any shorter. Still, Twain managed to get laughs with his whimsical humor.

Thanks for posting. This made my evening.

7 0
3 years ago
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