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lapo4ka [179]
3 years ago
11

An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma

ny days must pass before the class must repeat a seating arrangement? days must pass before a seating arrangement is repeated. Suppose the desks are arranged in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats? There are seating arrangements that put them in the front seats. What is the probability that Larry, Moe, Curly and Shemp are sitting in the front seats? The probability is
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer: a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

Step-by-step explanation:

Since we have given that

Number of students = 16

Number of desks = 16

a)  How many days must pass before the class must repeat a seating arrangement?

16!=2092278989

If the number of rows = 4

b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

4!\times 4!\\\\=24\times 24\\\\=576

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

\dfrac{576}{2092278989}

Hence, a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

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(x + 1)2 + (y - 3)2 = 36<br> What is the radius?
NARA [144]

Answer:

6

Step-by-step explanation:

Any circle in the form

(x+\alpha)^2 + (y+\beta)^2 = r^2

Where r^2 is the radius squared, so

r^2=36

r=6

5 0
3 years ago
The length of a parasite in experiment A is 2.5 × 10–3 inch. The length of a parasite in experiment B is 1.25 × 10–4 inch. How m
torisob [31]

We have been given that :-

The length of a parasite in experiment A is 2.5 \times 10^{-3}

The length of a parasite in experiment B is 1.25 \times 10^{-4}

Let us write the the  length of the parasite in experiment A in the exponent of -3.

1.25 \times 10^{-4}= 0.125 \times 10^{-3}

Clearly, the length of parasite in experiment A is greater than the length of parasite in experiment B.

The difference in the length is given by

2.5 \times 10^{-3} -0.125 \times 10^{-4}

=2.375 \times 10^{-3}

Therefore, the length of the parasite in experiment A is =2.375 \times 10^{-3} inches  greater than the length of the parasite in experiment B.

3 0
3 years ago
Read 2 more answers
Help please thank you !!!
tensa zangetsu [6.8K]

Answer: for 4 The 24 balloons cost are $40 and 9 balloons are $1.67

Step-by-step explanation:

3 0
3 years ago
Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar
tino4ka555 [31]
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.

1.36/100=0.0136

1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.

856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.

Heather would put $71 into a retirement account each month.
<em>
</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>


6 0
3 years ago
Explain the difference between qualitative and quantitative data. Choose the correct answer below. A. Quantitative data are coll
Leona [35]

The correct answer is F. Quantitative data are numerical in​ nature, while qualitative data are categorical in nature.

Explanation:

In research and all the different fields that apply to it, the word "data" refers to information, values or knowledge that can be used to understand a specific situation or phenomenon. Additionally, data can be of two different types quantitative and qualitative, these differ in their nature, the phenomenons they described and the way they should be analyzed. Indeed quantitative data refers mainly to numerical data or information about quantities such as statistics that are especially useful in mathematics, science and similar that focus on numbers. On the other hand, qualitative data refers to data based on categories or qualities and because of this qualitative data is used in humanistic research, although both types of data can be combined to study a phenomenon. Considering this, the key difference between both types of data is "Quantitative data are numerical in​ nature, while qualitative data are categorical in nature".

3 0
3 years ago
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