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FromTheMoon [43]
3 years ago
11

The times for completing one circuit of a bicycle course are normally distributed with a mean of 72.5 minutes and a standard dev

iation of 6.5 minutes. An association wants to sponsor a race but only wants the top 25% of riders included. It a trial run, what should be the cutoff time?
Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

76.881 minutes

Step-by-step explanation:

If we look for the value of 25% in the normal distribution table, it corresponds to z = - 0.674

I mean:

P( Z < - 0.674) = 0.25

Now, we know that the formula in this case would be

cut off time = m - z*sd

where m is the mean and sd is the standard deviation.

replacing these values we have left:

cut off time = 72.5 - (-0.674)*6.5

cut off time = 76.881

Therefore the time limit would be 76.881 minutes

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Point Q is the image of Q(-4,7) under a translation by 4 units to the right and 2 units down.
Vika [28.1K]

Answer:

(0,5)

Step-by-step explanation:

Move down 2 and move right 5.

6 0
3 years ago
Read 2 more answers
You have a 10kg bag of sand. The mass of a grain of sand is about 10 to the -3 power gram. About how many grains of sand are in
Anika [276]
10 kg* (1000 g/ 1 kg)* (1 grain of sand/ 10^(-3) g)= 10^7 grains of sand.
(Note that the units cancel out so you get the answer)

The final answer is 10^7 grains of sand.

Hope this helps~
8 0
3 years ago
Here are the first four of an arithmetic sequence.
Grace [21]
A)
6, 10, 14, 18

a = 6 = first term.

common difference, d = 10 - 6 = 4

nth term of an arithmetic sequence = a + (n - 1)*d = 6 + (n - 1)4

= 6 + 4*n - 4*1

= 4n - 4 + 6

= 4n + 2

nth term of the arithmetic sequence is  4n + 2

b)
different arithmetic = 3n + 5

If 108 is on the sequence, it would have a whole number solution for n.

3n + 5 = 108

3n = 108 - 5

3n = 103

n = 103/3 = 34  1/3

n is not a whole number, so 108 is not a term of the sequence. 

Hope this helps.
6 0
3 years ago
Find the slope of the line that contains the points (6, 5) and (8,7)
Elanso [62]

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is

y¹-y²

-----

x¹-x²

y¹ and x¹ can be either of the points.

So let's make it (6,5)

This means that y² and x² will be (8,7)

The equation will be

5-7d -2

----- = ---

6-8 -2

which can be simplified to 1 by divied both by -2

5 0
3 years ago
Simplify (3b-8)-(6-b)
Pachacha [2.7K]
4b-14 because you distribute the negative sign to the 6-b
3 0
3 years ago
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