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Tresset [83]
4 years ago
11

Are there any prime numbers that are also square numbers

Mathematics
2 answers:
cestrela7 [59]4 years ago
8 0
The definition of a prime number is one in which there are no factors other than 1 and itself. For example, 5 has no other factors other than 1 and 5 (itself).

The number 1 is not considered prime nor composite.So, even though it is a square (1²), it is not a prime number.

All square numbers have a square root that is neither 1 nor itself: 16 is the square of 4, 49 the square of 7, and so on.

Due to the fact that square numbers have factors other than 1 and itself, square numbers are not prime.

Hope this helps! :)
Dmitry_Shevchenko [17]4 years ago
6 0
No because 9, for example, has 3 as its factors.
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A department store surveyed 428 shoppers, and the following information was obtained: 216 shoppers made a purchase, and 294 were
Maurinko [17]

Answer:

(a) 169

(b) 341

(c) 125

(d) 87

Step-by-step explanation:

Consider the Venn diagram below.

The total number of shoppers surveyed is, <em>N</em> = 428.

Number of shoppers who made a purchase, <em>n</em> (P) = 216

Number of shoppers who were satisfied with the service they received,

<em>n</em> (S) = 294

Number of shoppers who made a purchase but were not satisfied with the service, n(S^{c}\cap P) = 47

(a)

The number of shoppers who made a purchase and were satisfied with the service = <em>n</em> (S ∩ P)

             n(S\cap P)=n(P)-n(S^{c}\cap P)\\=216-47\\=169

(b)

The numbers of shoppers who made a purchase or were satisfied with the service = <em>n</em> (P ∪ S)

               n(P\cup S)=n(P)+n(S)-n(P\cap S)\\=n(P)+n(S)-n(S\cap P)\\=216+294-169\\=341

(c)

The numbers of shoppers who were satisfied with the service but did not make a purchase = n(S\cap P^{c})

n (S\cap P^{c} ) = n (S) - n (S \cap P)\\=294-169\\=125

(d)

The number of shoppers who were not satisfied and did not make a purchase  = n(S^{c}\cap P^{c})

n(S^{c}\cap P^{c})=N-n(S\cup P)\\=N-n(P\cup S)\\=428-341\\=87

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3 years ago
Use finite differences to identify the degree of the polynomial that best describes the data. 9 10 11 12 13 14
worty [1.4K]

The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.

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2 years ago
6. A pizza maker has a 64-ounce package of whole wheat pizza
d1i1m1o1n [39]

Answer:

D

Step-by-step explanation:

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4 years ago
Simplify (1/4 ad^3)^2
Dima020 [189]
That "ad^3" bothers me; I'm not sure what you mean here.

I'm going to assume that you have     (1/4*a*d^3)^2.

If that's the case, then you have (1/4)^2 * a^2 * d^6 = (1/16)*a^2*d^6.

If this is not what you were hoping for, double check to ensure that you have copied down this problem exactly as it was presented.


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3 years ago
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Likurg_2 [28]

Answer:

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Step-by-step explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.

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