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guajiro [1.7K]
3 years ago
14

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you

r answer to two decimal places.) HINT [See Example 4.]
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

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Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t
adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

The odd multiples of 9, m, in the range 2\le m \le 82 form the set

\{9,27,45,63,81\}

Each member of the set is a term of the arithmetic progression

U_n=18n+9

where the values of n range from 0 to 4, or 0\le n\le 4

Putting these facts together, we get the result

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

Learn more about set-builder notation here: brainly.com/question/17238769

3 0
3 years ago
P L E A S E H E L P ! ! !
Step2247 [10]

Answer:

1) 6x = 21

2) x + y - 3

3) x/z = y

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Step-by-step explanation:

1. The product of a number x and 6 is 21

A product is a multiplication.  A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y  

The sum is an addition.  The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p

7 0
3 years ago
Tell whether (12, 43) is a solution of y = 3x + 7.<br> yes<br> no
Len [333]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
You have $5,000 to invest for ten years. The Bank pays simple interest at an annual rate of 5%. Calculate your balance after 10
Mazyrski [523]

Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

3 0
2 years ago
How many $25 shirts can I buy with $175?
Nookie1986 [14]

Answer:

You can by 7 shirts if you wanted

6 0
2 years ago
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