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Lana71 [14]
2 years ago
15

Suppose a normal distribution has a mean of 62 and a standard deviation of

Mathematics
2 answers:
olasank [31]2 years ago
4 0

Answer:

66.8%

Step-by-step explanation:

Just took the test

Vlada [557]2 years ago
3 0

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

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Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

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2 years ago
Type 8,580 words in 2 hours 45 minutes
Inessa05 [86]
You would average 52 words a minute.

8580 / 165 (60 + 60 + 45) = 52
6 0
2 years ago
Need help with these math questions
PSYCHO15rus [73]

\sqrt{16-x}        x = 8

Since x = 8, you can plug in/substitute 8 for "x" in the equation:

\sqrt{16-x}

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2.82842

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\sqrt{x+7}     x = 9

Plug in 9 for "x" in the equation

\sqrt{x+7}

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4 0
2 years ago
What is 3a ^2 + a ^2 added to a +6 ?
KonstantinChe [14]

Answer:

it is a polynomial

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4a^2+6

Step-by-step explanation:

3a^2 +a^2 = 4a^2+6

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7 0
2 years ago
Twenty less than 8 times a number is the same as 15 more than the number
Anestetic [448]
This means that it is 8x-28=15+x. We let x equal the number. You can solve for the equation.
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3 years ago
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