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Volgvan
3 years ago
11

What is the smallest integer greater than 237 for which each digit of the integer is a prime number?

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0
I think the answer is 252 because it is the next possible number with all its digits being a prime number
artcher [175]3 years ago
6 0

Answer:

252  

Step-by-step explanation:

Here's how I would argue.

Let the three digits be a, b, and c,

Then the number is abc.

Assume a = 2 and b= 3.  

Then c cannot be 8, 9, or 0, because they are not prime numbers.

b cannot equal 4 (not prime), so  

Assume that b = 5 (prime).

a cannot be 0 or 1 (not prime), but it can equal 2 (prime).

abc = 252

Thus, 252 is the smallest integer greater than 237 for which each digit is a prime.

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A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
Substiution method: y + 9 = 1/5x and
uranmaximum [27]
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span>                                                             4x -5(1/5x-9)= -15 x
                                                             4x + x+45=-15x
                                                             5x +45 = -15x                                                                                                            45=-20x 
                                                              x=-45/20
                                                              x= -9/4
 
 y+9 =1/5x
   y      = 1/5(-9/4)-9
      y     = -189/20
  (-</span>9/4,-189/20)
4 0
3 years ago
The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .
Vika [28.1K]

Answer:

13 in

Step-by-step explanation:

let w be width then length is w + 6

the area (A) of a rectangle is calculated as

A = length × width , then

A = w(w + 6) = 91 , that is

w² + 6w = 91 ( subtract 91 from both sides )

w² + 6w - 91 = 0 ← in standard quadratic form

(w + 13)(w - 7) = 0 ← in factored form

equate each factor to zero and solve for w

w + 13 = 0 ⇒ w = - 13

w - 7 = 0 ⇒ w = 7

however, w > 0 then w = 7

and length = w + 6 = 7 + 6 = 13 in

8 0
2 years ago
The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the Venn Diagr
Dmitry_Shevchenko [17]

Answer:

see image

Step-by-step explanation:


7 0
2 years ago
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svp [43]

Answer:

a) 18.4%

Step-by-step explanation:

Assuming a normal distribution, the z-score (z) for the probability of the average of the mosquitoes count being 'X'  is given by:

z(X)=\frac{X-\mu }{\frac{\sigma}{\sqrt{n}}}

Where 'μ' is the distribution mean, 'σ' is the standard deviation and 'n' is the number of square meters chosen.

For X = 81.8 and n=36:

z(X)=\frac{81.8 - 80}{\frac{12}{\sqrt{36}}}\\z(X)= 0.9

A z-score of 0.9 is equivalent to the 81.59 th percentile in a normal distribution.

Therefore, the probability (P) that the average of those counts is more than 81.8 mosquitoes per square meter is:

P= 100\% - 81.59\%\\P=18.41\%

8 0
2 years ago
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