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kotegsom [21]
2 years ago
13

Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second

should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
Mathematics
1 answer:
Goshia [24]2 years ago
3 0

First question seems incomplete :

Answer:

40 ways

Step-by-step explanation:

Question B:

Number of boys = 6

Number of girls = 4

Number of people in committee = 3

Number of ways of selecting committee with atleast 2 girls :

We either have :

(2 girls 1 boy) or (3girls 0 boy)

(4C2 * 6C1) + (4C3 * 6C0)

nCr = n! ÷ (n-r)!r!

4C2 = 4! ÷ 2!2! = 6

6C1 = 6! ÷ 5!1! = 6

4C3 = 4! ÷ 1!3! = 4

6C0 = 6! ÷ 6!0! = 1

(6 * 6) + (4 * 1)

36 + 4

= 40 ways

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The number in brackets represents the percentage change
1.045
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5 0
3 years ago
If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr
Iteru [2.4K]

According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

k=1+log_{2} n

Here, n is equal to 66 and by substituting the value to the equation we get:

k=1+log_{2} (66)

k = 7.0444

k ≈ 7

Learn more about Sturge's rule here: brainly.com/question/28184369

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8 0
1 year ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

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77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

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Therefore, the tax rate is 5.5%.

7 0
3 years ago
Question 7 not answered which set of numbers with a difference of 2 is a factor pair of 48? answer choices 2 and 4 4 and 6 6 and
ehidna [41]

Answer:

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Step-by-step explanation:

All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.

2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48

4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48

6 and 8 . . . . . have a difference of 2, and 6·8 = 48

24 and 2 . . . . do not have a difference of 2

6 0
3 years ago
Pls help!!<br>These two polygons are similar. 4 2 9 o 15​
lina2011 [118]

Answer:

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3 0
3 years ago
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