About 9% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability that at least one is hopelessly romantic?
A) The probability that both will be hopelessly romantic is _________. (Round 4 decimal places as needed).
B) The probability that at least one person is hopelessly romantic is _______.

Answer:

1.0

Step-by-step explanation:

The 6 is bigger than 5, so that bups the number up to 1.0.

Answer: C is the correct answer

Answer:

149.40625 approximately

Step-by-step explanation:

There isn't really an explanation, you can just use a calculator ;)

Answer:

Step-by-step explanation:

4781/32

without using calculator you can configure this.

AS

32√4781   ║ 149.40625

    -  32  

        1581

      - 128

          301

        - 288      

             1 30                           (put decimal above to add zero in reminder)

          -  128

                200  (one 0 is from decimal and to add another one add 0 abov)

              -192

                   80

                  -64

                    160

                   - 160

                       X  

Answer:

[tex]\frac{2x+2}{x}\ge \:0[/tex]

Step-by-step explanation:

[tex]3+\frac{4}{x}\ge \frac{x+2}{x}[/tex]

Subtract [tex]\frac{x+2}{x}[/tex] from both sides:

[tex]3+\frac{4}{x}-\frac{x+2}{x}\ge \frac{x+2}{x}-\frac{x+2}{x}[/tex]

[tex]3+\frac{4}{x}-\frac{x+2}{x}\ge \:0[/tex]

[tex]\frac{3x}{x} +\frac{-x+2}{x}[/tex]

[tex]\frac{2x+2}{x}\ge \:0[/tex]

Answer:

y = 4/5 x - 4

Step-by-step explanation:

Answer; bonjour , j ai compris que le 2 c est

Step-by-step explanation:

This is 36,96  , and 14,3

The composite function g(f(x)) is equivalent to 10x^2 - 1

This are also referred to as function of a function. Given the following functions;

f(x) = 2x^2 - 5

g(x) = 5x + 7

In order to determine the composite function g(f(x))

g(f(x)) = g(2x^2 - 5)

Replace x with 2x^2 - 5 in g(x) to have;

g(f(x)) = 5(2x^2 - 5) + 7

g(f(x)) = 10x^2 - 18

Hence the composite function g(f(x)) is equivalent to 10x^2 - 1

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Answer is given below

Step-by-step explanation:

given data

average length of all 1015 fishes = 98.06 mm

randomly selects 50 fishes average length = 101.04 mm

solution

Answer:

Step-by-step explanation:

8 inches : 3 feet

12 x 3 = 36 inches

8 inches: 36 inches = 2 inches: 9 inches

The ratio in simplest form to express 8 inches over 3 feet is 2:9.

To express the ratio of 8 inches to 3 feet in simplest form, we need to convert the measurements to a common unit.

Since both measurements involve length, we can convert inches to feet or feet to inches.

We know that 1 foot = 12 inches

So 3 feet = 12×3

=36 inches.

Now the ratio 8 inches over 3 feet is equal to 8 inches over 36 inches.

8/36

Divide numerator and denominator by 4:

2/9

Hence, the ratio in simplest form to express 8 inches over 3 feet is 2:9.

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Answer:

-19.42

-19.42

-19.42

-19.42

Step-by-step explanation:

It's a charge, so they'll be negative. It's four different charges so they'll stack like this.

Answer: 6x6 =36

Step-by-step explanation:

Sorry if it's wrong, but should be right cause it makes sense.

Step-by-step explanation:

DG+GM=DM

r+2+2r-13=25

combine like terms

3r-11=25

3r=36

r=12

Answer:

i think x=-1 and y=3. ....

Answer:

x = -1 ,  y = 3

Step-by-step explanation:

2x+5y = 13

-x+4y = 13

Decide whether to add or subtract the two equations by using Different Add Same Subtract (DASS)   or in case below as its SUBTRACT

i apply (SDSS).  

We subtract 5y as this is easier equation either positive prioritises or if both positive then easier number becomes priory.

Results to SDSS  before substituting Y if 5y etc was subtracted

2x+5y = 13             Subtract -5  

2x+5y -5y = 13 -5y  

2x= 13 - 5y             then Divide by 2

2x / 2 = 13/2 - 5y/2          Show then

x = 13 - 5y  / 2  + 4y = 13     Simplify

simplify  13 - 13y  / 2   as   y = 3  

as 13/2 = 6.5 and 2.5 +4 = 6.5

y = 3

Substitute y = 3

13-5y )3) / 2

13-5 (3)  / 2

BODMAS Brackets first Multiplying only for y substitute 5y = 5 x 3

-5 (3) = 15

13-15 = -2

-2/2 = -1

x = -1

Answer:

4+is the absolute value is greater than 3

Answer:

-18.75 is a rational number. A rational number is any number that has either a repeating decimal or one that ends. It doesn’t no go on, so it is considered rational. Hopefully this helps! Feel free to mark brainliest!

-18.75 is a rational number

Rational numbers are numbers that can be expressed as the fractions of two integers

That is, R is a rational number if it can be expression as:

R  =  p/q

where p and q are integers

-18.75 can be expressed as -1875/100 where both -1875 and 1000 are integers.

Since -18.75 can be expressed as the fraction of two integers, it is a rational number.

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X equal to 6 plus 1 by 3 which is 19 by 3 is the answer which is also a improper fraction

Answer:

x=19/3

Step-by-step explanation:

x-1/3 =6 /×3

3x - 1 =18

3x=18 +1

3x =19

x=19/3

Answer: 27

Step-by-step explanation:

-21 to 6= 27

The difference between the numbers -21 and 6 is 27.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the two numbers are -21 and 6. The distance between the two numbers will be calculated as,

Distance = 6 - ( -21 )

Distance = 6 + 21

Distance = 27

Hence, the difference is 27.

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The integral can be evaluated by substituting everything you know:

[tex]\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_C\mathbf F(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^1(t^3\,\mathbf i+t^5\,\mathbf j+t^4\,\mathbf k)\cdot(\mathbf i+2t\,\mathbf j+3t^2\,\mathbf k)\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^1(t^3+5t^6)\,\mathrm dt[/tex]

[tex]=\dfrac{t^4}4+\dfrac{5t^7}7\bigg|_0^1=\dfrac14+\dfrac57=\boxed{\dfrac{27}{28}}[/tex]

The line integral ∫F · dr along the curve is 9/10.

To evaluate the line integral ∫F · dr along the curve C, where F(x, y, z) = xyi + yzj + zxk and C is the twisted cubic given by x = t, y = t², z = t³ for 0 ≤ t ≤ 1, we need to parameterize the curve C and compute the dot product between F and the tangent vector dr.

The parameterization of C is:

r(t) = ti + t²j + t³k

To compute dr, we take the derivative of r(t) with respect to t:

dr = (dx/dt)i + (dy/dt)j + (dz/dt)k

dr = i + 2tj + 3t²k

Now we can compute the dot product between F and dr:

F · dr = (xy)(dx/dt) + (yz)(dy/dt) + (zx)(dz/dt)

F · dr = (t)(i) + (t²)(2t)(j) + (t)(t³)(3t²)(k)

F · dr = ti + 2t³j + 3t⁴k

To evaluate the line integral, we integrate F · dr with respect to t over the interval [0, 1]:

∫[0,1] F · dr = ∫[0,1] (ti + 2t³j + 3t⁴k) dt

Integrating each component separately:

∫[0,1] ti dt = (1/2)t² ∣[0,1] = (1/2)(1)² - (1/2)(0)² = 1/2

∫[0,1] 2t³j dt = (1/4)t⁴ ∣[0,1] = (1/4)(1)⁴ - (1/4)(0)⁴ = 1/4

∫[0,1] 3t⁴k dt = (1/5)t⁵ ∣[0,1] = (1/5)(1)⁵ - (1/5)(0)⁵ = 1/5

Adding the results together:

∫[0,1] F · dr = (1/2) + (1/4) + (1/5) = 5/10 + 2/10 + 2/10 = 9/10

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Answer: $0.31

Step-by-step explanation:

A dozen = 12

Cost of 12 daises = 3.75

Cost of one daisy = 3.75/12 = 0.3125

0.3125 to the nearest hundredth = 0.31  

Answer:

163

Step-by-step explanation:

10(10)+9(7) Stubstitute the variables for the values given

100+63 Multiply

163 Add

Answer:

25%

Step-by-step explanation:

There are 6+8+10 = 24 cookies

P ( chocolate chip) = number of chocolate chip/ total

                               = 6/24 = 1/4

Changing to percent

1/4 = 25/100 = 25%

Answer:

ok put it in a calculator

(12,-12

Answer:

x = 6

∠B = 126

Step-by-step explanation:

∠A = ∠B

where

∠A = 8x + 78°

∠B = 2x + 114°

8x + 78°  = 2x + 114°    

8x - 2x = 114 - 78

6x = 36

x = 36/6

x = 6

plugin x into  ∠B = 2x + 114°

∠B = 2x + 114°

∠B = 2(6) + 114°

∠B = 126

Answer:

x = 6

∠B = 126

Step-by-step explanation:

i got this correct

Answer:

C.) 1

Step-by-step explanation: Any number raised to the zeroth power will always be 1.

Answer:

x=6.5

Step-by-step explanation:

2x+3=16

2x=16-3

2x=13

x=13/2

x=6.5

Answer:

Hannah is taller because her z-score is higher than Kylie’s z-score.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2n + 8.5 = 23

2n = 14.5

2n = 7.25 or 7 1/4 feet