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Varvara68 [4.7K]
3 years ago
11

The scores of eight grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5.

From this data, we can conclude that 68% of the students recieved scores between
a)34 and 64
b)34 and 68
c)51 and 64
d)51 and 68
Mathematics
1 answer:
rewona [7]3 years ago
8 0
Work out the z scores  for   51  and 54 
z1 = (51 - 57.5) / 6.5 = -1
z2 = (64  - 57.5)/6.5 = 1
from tables of normal distribution this value os 3413 + 3413  = 68.26%


so the answer is  c
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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So,  4# · 3# · 2# · 1#? =  6912 · 24 · 2 · 1? = 331776

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2 years ago
How to isolate a variable
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Answer:

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Step-by-step explanation:

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A scientist measured the exact distance between two points on a map and came up with the following number: 0.04000 km.
stellarik [79]

Answer:

The first zero after decimal point and 4 only

Step-by-step explanation:

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g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (
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Answer:

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Step-by-step explanation:

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n=10 --- selected customers

x = 4 --- those that are expected to use the restroom

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Required

P(x = 4)

The question illustrates binomial probability and the formula is:

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So, we have:

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