find all couples (p,q) of prime numbers, such that p-q and p+q are prime numbers as well

Answer:

yes this person did because I have the same question

Step-by-step explanation:

Answer

15%

Step-by-step explanation:

I think the answer is 15% because when we talk about percentile, we are actually subtracting from 100% in simpler terms. If we say a 85th percentile, it actually means 15%.

Answer:

n = -32

Step-by-step explanation:

quotient means divide

n/-4 = 8

Multiply each side by -4

n/-4 *-4 = 8*-4

n = -32

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the given question some of the data is missing so, its correct question is defined in the attached file please find it.

Let

A is quality score of A

B is quality score of B

C is quality score of C

[tex]\to P[A] =0.55\\\\\to P[B] =0.28\\\\\to P[C] =0.17\\[/tex]

Let F is a value of the content so, the value is:

[tex]\to P[\frac{F}{A}] =0.15\\\\\to P[\frac{F}{B}] =0.12\\\\\to P[\frac{F}{C}] =0.14\\[/tex]

Now, we calculate the tooling value:

[tex]\to p[\frac{C}{F}][/tex]

using the baues therom:

[tex]\to p[\frac{C}{F}] = \frac{p[C] \times p[\frac{F}{C} ]}{p[A] \times p[\frac{F}{A}] + p[B] \times p[\frac{F}{B}]+p[C] \times p[\frac{F}{C}] }[/tex]  

            [tex]= \frac{ 0.17 \times 0.14 }{0.55 \times 0.15 + 0.28 \times 0.12 + 0.17 \times 0.14 } \\\\= \frac{0.0238}{0.0825 + 0.0336 + 0.0238} \\\\= \frac{0.0238}{0.1399} \\\\=0.1701[/tex]

Answer:

No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.

Step-by-step explanation:

We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.

A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.

Let [tex]\mu[/tex] = population mean length of doors.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2058.0 millimeters      {means that the mean length of doors is 2058.0 millimeters}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 2058.0 millimeters     {means that the doors are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = 2043.0 millimeters

             s = sample standard deviation = 25.0 millimeters

             n = sample of doors = 11

So, the test statistics =  [tex]\frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }[/tex]

                                     =  -1.989  

The value of t-test statistics is -1.989.

Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean length of doors is 2058.0 millimeters.

Answer:

Least to greatest

Step-by-step explanation:

912.202

912.21

913.601

913.61

Add zero's next time, (to 912.21  and 913.61 . It could help.)

3751.25 cm³

Hi there !

Volume (sphere) formula

V(s) = (4/3) × π × r³

we have two hemisheres

V(h) = (4/3) × π × r³ /2

= (2/3) × π × r³

V₁ = 2/3 ₓ π ₓ (12cm)³

= 2/3 ₓ π ₓ 1728cm³

= 1152π cm³

V₂ = 2/3 ₓ π ₓ (4cm)³

= 2/3 ₓ π ₓ 64cm³

= 128π/3 cm³

V = V₁ + V₂

= 1152π cm³ + 128π/3 cm³

= 3617.28 cm³ + 133.97 cm³

= 3751.25 cm³

Good luck !

Answer:

[tex]Time = 1.2\ hours[/tex]

Step-by-step explanation:

Given

[tex]Speed= 85\ miles/hour[/tex]

Required

Determine the time for 102 miles

In this case, we make use of Speed formula as follows:

[tex]Speed = \frac{Distance}{Time}[/tex]

This gives:

[tex]85 = \frac{102}{Time}[/tex]

Solve for Time

[tex]Time = \frac{102}{85}[/tex]

[tex]Time = 1.2\ hours[/tex]

Hence, the time needed is 1.2 hours

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Answer:

The scale factor is a proportional relationship.   The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1.  Reductions have a scale factor between 0 and 1. The proportion should be preserved.

Hope this Helps!

Answer:

70:28

Step-by-step explanation:

70:28 because you just multiply 14 by both numbers and get your answer.

Answer:

put a dot on point (2,-4) then go one to the right and one down hope this helps

Step-by-step explanation:

The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).

We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

Substituting m = -1, x = 2, and y = -4, in the equation, we get:

-4 = -1(2) + b,

or, b = -4 + 2 = -2.

Thus, the equation of the line is: y = -1(x) - 2,

or, x + y = -2.

Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The graph for the equation is attached.

Learn more about equations of line at

https://brainly.com/question/18035751

#SPJ2

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = [tex]\frac{1.4}{100}[/tex] x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

Answer:

-4

Step-by-step explanation:

subtracting form a negative will result in a negative number

Answer:

c)-4

Step-by-step explanation:

-1 minis 3 is 3 less that -1

Answer:

$1700

Step-by-step explanation:

0.25 * 4 = 1

6,800/4 = $1700

Answer:

1700

Step-by-step explanation:

6,800/4

(divided by 4 because if you multiple 0.25 by 4 you get one)

6,800/4 = 1700

Answer:

the answer is

Step-by-step explanation:

156.558 or 157.0

or

0.0060

The answer "yes" applies to addition, subtraction, and multiplication. This is because we can take any two integers and add them to get some other integer

eg: 5+7 = 12

We can subtract two integers to get some integer

eg: 9-1 = 8

And we can multiply two integers to get an integer

eg: 4*6 = 24

--------------

The only one that isn't closed is division. We can divide some integers to get another integer

eg: 10/2 = 5

but there are cases where dividing two integers does not lead to another integer

eg: 8/5 = 1.6

The result 1.6 is not an integer since it has a decimal part

Also, the example your teacher provides has

1/6 = 0.167 approximately which is also not an integer

Answer:

203 is the median value.

Step-by-step explanation:

The range is 62, minimum is 174, and the maximum is 236. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.

Answer:

B

Step-by-step explanation:

[tex]5.72+872.56=878.28[/tex]

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Answer:

Lets calculate the slope of the line 'l'

Slope is rise over run of a line, so we will see how much the y of the line changes by changing x by 1

So, basically we will select a point on the line and see how much the y-value increases for the point rightward to our point

we see that the y increased by 1 and hence, its slope is 1

Now, the slope of line 'k'

again, we will select a point and go one point to the right

here, we see that the y increases by 2

therefore the slope of line 'k' is 2

Answer:

[tex]\huge\boxed{2.93\%}[/tex]

Step-by-step explanation:

Calculate the difference:

[tex]0.273-0.265=0.008[/tex]

Calculate the ratio:

[tex]\dfrac{0.008}{0.273}=\dfrac{0.008\cdot1000}{0.273\cdot1000}=\dfrac{8}{273}[/tex]

Convert to percentage:

[tex]\dfrac{8}{273}=\dfrac{8}{273}\cdot100\%=\dfrac{800}{273}\%\approx2.93\%[/tex]

Answer:

[tex](x,y)=(4,4).[/tex]

Step-by-step explanation:

The given number 23x0255y7283 is divisible by both 9 and 11.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits,

2+3+x+0+2+5+5+y+7+2+8+3=37+x+y.

The possible value of x and y are:

[tex]0\leq x\leq 9[/tex] and [tex]0\leq y\leq 9[/tex]

[tex]\Rightarrow 0\leq (x+y)\leq 18[/tex].

So, the possible value of (x+y) so that 37+x+y is divisible of 9 are:

x+y=8,17 ...(i)

Now. for any number to be divisible by 11, the difference of the sum of all the digits at the odd position and the sum of all the digits at the even position of the number must be either 0 or divisible by 11.

So, (2+x+2+5+7+8)-(3+0+5+y+2+3)=11+x-y  is either 0 or divisible by 11.

As [tex]0\leq x\leq 9[/tex] and [tex]0\leq y\leq 9[/tex]

[tex]\Rightarrow 0\leq x-y\leq 9[/tex]

So, the possible value of (x-y) is 0.i.e

x-y=0

[tex]\Rightarrow x=y\;\cdots(iii)[/tex]

Form equation (i),

For x+y=8,

2x=8

[tex]\Rightarrow x=4[/tex].

So, from equation (iii), y=4. So

(x,y)=(4,4)

And for x+y=17,

2x=17

[tex]\Rightarrow x=8.5[/tex], which is not possible ay the digits x, y, are integer.

Hence, only one ordered pair (x,y) possible, which is

[tex](x,y)=(4,4).[/tex]

Answer: x^2+6x-15

Step-by-step explanation: