the range of absolute value
of sinx​

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

Answer:

SAS

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

Answer:

what questions need to be done? We need to know the problems before we answer them. :/

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Thus we conclude that cricle is totally different from ellipse

To know more about cricle and ellipse

https://brainly.com/question/9689499

Answer:

y = 2

Step-by-step explanation:

....................

Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is [tex]\alpha = 0.05[/tex]

Generally the population proportion is mathematically represented as

      [tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is [tex]H_o : p = 0.75[/tex]

The alternative hypothesis [tex]H_a : p > 0.75[/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]

=>    [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]

=>  [tex]z = 1.01[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  = P(Z > z )[/tex]

=> [tex]p-value  = P(Z > 1.01 )[/tex]

From the z-table  

    [tex]P(Z > 1.01 ) = 0.15625[/tex]

So

    [tex]p-value  = 0.15625 [/tex]

From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

Answer: Always true

Step-by-step explanation:

Whole numbers including 0 are always integers

Answer:

Three consecutive even integers are x, x+2, x+4.

Step-by-step explanation:

Their sum is x+x+2+x+4 = 3x+6.

Hope this helped! <3

Answer:

your answer is A

Step-by-step explanation:

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Answer:

Do you need a step by step explaination on hiw to get the answer x= -13?

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

Answer:

24 Hooded Sweatshirts

Step-by-step explanation:

36/3=12

2x12=24 or hooded sweatshirts

1x12=12 or crewneck sweatshirts

12+24=36 total sweatshirts :)

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

Read more about revenue and price at:

https://brainly.com/question/11859895

Answer:

it is 90 degrees

Step-by-step explanation:

All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5

Answer: I think the answer is B.) 570

Answer:

9/11

Step-by-step explanation:

(6 × 3)/22

18/22 = 9/11