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2 years ago

How many pairs of twin prime numbers are there in 1 to 100

Mathematics

2 answers:

Zinaida [17]2 years ago

6 0

Answer:

eight

Step-by-step explanation:

3,5

5,7

11,13

17,19

29,31

41,43

59,61

71,73

Nezavi [6.7K]2 years ago

4 0

Answer:

8 pairs

Information to know:

[] What are prime numbers?

-> Prime numbers are numbers that only have factors of one and itself

[] What are twin prime numbers?

-> Twin prime numbers are "twins" if the two values are both prime and 2 away from each other

Step-by-step explanation:

[] If we go through the list, we end up with the following. Count them up and you receive an answer of 8.

-> 3 and 5

-> 5 and 7

-> 11 and 13

-> 17 and 19

-> 29 and 31

-> 41 and 43

-> 59 and 61

-> 71 and 73

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Aline passes through (-3,-2) and is perpendicular to 3x - 2y = 7.

Natali5045456 [20]

Answer:

y= $-\frac{2}{3}$ x-4

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

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y= $\frac{3}{2}$ x- $\frac{7}{2}$

perpendicular lines always have opposite reciprocal slopes

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3 years ago

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6 tractors take 6 days to collect the harvest. Hoe long would it take for 15 tractors to do the same amount of work?

adell [148]

Morgen, (hoe is nederlands)

t=36/15=2.4 (days)

4 0

3 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

Line segments JK and JL in the xy-coordinate plane both have a common endpoint J(-4,11) and midpoints at M, (2, 16) and M2 (-3,5

ohaa [14]

Answer:

12.1

Step-by-step explanation:

We use the formula for the distance between two arbitrary points $(x_1,y_1)$ and $(x_2,y_2)$ in the xy-coordinate plane, that is:

$d=\sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}$

So, replacing the points $M=(2,16)$ and $M_2=(-3,5)$ , we obtain:

$d=\sqrt{(2-(-3))^2 + (16-5)^2}\\d=\sqrt{(2+3)^2 + (16-5)^2}\\d=\sqrt{5^2 + 11^2}\\d=\sqrt{146 }=12.083045... \simeq 12.1$

that is the answer.

note: observe that we only use the coordinates between the two midpoints and not the point J.

5 0

3 years ago

3a+4b= c solve for b

Alina [70]

Answer:

b = (c - 3a)/4

Step-by-step explanation:

3a + 4b = c

4b = c - 3a

b = (c - 3a)/4

6 0

2 years ago

How many pairs of twin prime numbers are there in 1 to 100​

How many pairs of twin prime numbers are there in 1 to 100