The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answer:

a. (0.313,0.447)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.

This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]

The correct answer is given by option A.

9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2

Answer:

252 eggs in 7 weeks

Step-by-step explanation:

[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]

Answer:  inscribed angle

Step-by-step explanation:  

inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

Answer:

28

Step-by-step explanation:

7×4

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1.4 and its solved by the percentage of the 7

Answer:

Dear your answer is 9

THANK YOU

Answer:

f(x)=4x-11

Step-by-step explanation:

This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.

Answer:

What is the similar in the United States to the Canadian Charter of Rights and Freedoms?

Step-by-step explanation:

Volume= Length x Width x Height

though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.

10cm x 5cm x 2cm=100cm^3

Hope this helps!

Answer:

19 / 8

Step-by-step explanation:

2 3/8 = 19/8

Answer:

12.06

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is B  [4.5x + 15]

Step-by-step

The triangle is an equilateral, so you can use the same formula on each side.

1.5x x 3 = 4.5x

5 x 3 = 15

Answer:

1/3 and 1/5

Step-by-step expl1

u should kno

Answer:

[tex]3 \times 10000 = 30000[/tex]

deca

Answer:

there is no photo

Step-by-step explanation:

If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.

Compute the derivative using implicit differentiation:

d/dx [xy ^2 + y] = d/dx [2x]

d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]

(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2

2xy dy/dx + y ^2 + dy/dx = 2

(2xy + 1) dy/dx = 2 - y ^2

dy/dx = (2 - y ^2) / (2xy + 1)

Plug in x = 1 and y = 1 :

slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3

Now use the point-slope formula to get the equation of the line:

y - 1 = 1/3 (x - 1)

y = x/3 + 2/3

Answer:

4.8 x 10^-13

hope this helps

have a good day :)

Step-by-step explanation:

Answer: A and B

Step-by-step explanation:

Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.

A binomial random variable is such that can take either of two possibilities at the same time.

Samples R and S can be considered as binomial random variables

For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.

So, we have the following highlights

Container A

[tex]n =100[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{100}{5}[/tex]

[tex]\frac nx = 20[/tex]

This means that the population is 20 times the sample size.

Hence, R is a binomial random variable.

Container B

[tex]n =1000[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{1000}{5}[/tex]

[tex]\frac nx = 200[/tex]

This means that the population is 200 times the sample size.

Hence, S is a binomial random variable.

Container C

[tex]n =20[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{20}{5}[/tex]

[tex]\frac nx = 4[/tex]

This means that the population is 4 times the sample size.

Hence, Q is not a binomial random variable.

Read more about random variables at:

https://brainly.com/question/13733697

Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.

Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.

With this, do:

360-90-125 = 145

to get the amount of arc in the unknown area.

Still though, we need to find the x value, so get the unknown value and set it equal to 145.

16x + 1 = 145

16x + 1-1 = 145-1

16x=145

x = 9.0625 or 9 1/16

Hope that helps.

Answer:

4,000

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12/13=0.923 , and also sinb is ac/ab

Answer:

C. 0.923

Step-by-step explanation:

I calculated it logically

Answer:

A.

Step-by-step explanation:

If you put the x value of the table and use it in each equation, only one gives the y output on the table.

y=x + 4

5=1 + 4

6=2+4

7=3+4

8=4+4

9=5+4

The correct option is A) y=x+4

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here option A as y=x+4 now lets verify this option

if x=1 then y = 1+4

                    = 5

Again if x=2 then y =2+4

                               =6

Similarly it can be clearly observed that all the values of y are 4 greater than the input of x given in the table.

Hence, option A is the correct answer.

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ2

Answer:

QPR

Step-by-step explanation:

If PQR = GHI, then HGI = QPR

Answer:

4xy^2z

assuming those numbers after the first ones are exponents

Answer:

B. P'(-1, 0) and Q'(1, 6)

Step-by-step explanation:

Please select the best answer from the choices provided

Answer:

The answer is A. P'(-2, -4) and Q'(-4, -2)

Step-by-step explanation:

OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!

Step-by-step explanation:

Table A

Blue Black White Silver Red

Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle

hope it is helpful to you

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer:

9°

Step-by-step explanation:

6x = 5x +9

6x-5x=9

x= 9

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