60% of the 7,000 runners in a marathon were women. How many women ran the marathon?

Answer:1/7

Step-by-step explanation:

Hello! :)

[tex]\large\boxed{g(3) = -10}[/tex]

If 3 is apart of the domain, then x = 3.

The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:

g(x) = -2x - 4

g(3) = -2(3) - 4

Simplify:

g(3) = -6 - 4

g(3) = -10

Answer:a and b

Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C

Answer:

(a) Mean and Median of type A

[tex]\bar x = 2145.47[/tex]

[tex]Median = 966[/tex]

(b) Mean and Median of type B

[tex]\bar x = 531.73[/tex]

[tex]Median = 366[/tex]

(c) The claim by the public health worker is true.

Step-by-step explanation:

Given

[tex]Type\ A: 38\ 100\ 186\ 199\ 253\ 380\ 595\ 966\ 1611\ 2638\ 3845\ 4931\ 5183\ 5367\ 5890[/tex]

[tex]Type\ B: 59\ 95\ 116\ 143\ 156\ 225\ 271\ 366\ 495\ 696\ 851\ 1060\ 1140\ 1101\ 1202[/tex]

[tex]n = 15[/tex]

Solving (a): The mean and median of A.

Mean is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{38 +100 +186 +199+ 253+ 380+ 595+ 966 +1611 +2638 +3845+ 4931+ 5183 +5367 +5890 }{15}[/tex]

[tex]\bar x = \frac{32182}{15}[/tex]

[tex]\bar x = 2145.47[/tex]

The median is calculated using:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{15+1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]

The 8th item is: 966

So:

[tex]Median = 966[/tex]

Solving (b): The mean and median of B.

Mean is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{59 +95 +116+ 143+ 156+ 225+ 271+ 366+ 495 +696+ 851+ 1060+ 1140 +1101+ 1202}{15}[/tex]

[tex]\bar x = \frac{7976}{15}[/tex]

[tex]\bar x = 531.73[/tex]

The median is calculated using:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{15+1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]

The 8th item is: 366

So:

[tex]Median = 366[/tex]

(c) The claim by the public health worker is true.

To do this, we simply compare the mean value of both types.

For Type A

[tex]\bar x = 2145.47[/tex]

For Type B

[tex]\bar x = 531.73[/tex]

The claim is:

[tex]Type\ A > 2 * Type B[/tex]

[tex]2145.47 > 2 * 531.73[/tex]

[tex]2145.47 > 1063.46[/tex]

Since the inequality is true, then the claim is true

Answer: negative 2 (-2)

Step-by-step explanation:-6+4=-2

Answer:

−2

Step-by-step explanation:

−6 − (−4)

= −6 − (−4)

= −6 + 4

= −2

Answer:

A.........................

9514 1404 393

Answer:

  x = 10°; angles are 50°, 46°, 84° (CW from left)

Step-by-step explanation:

The sum of the three angles is 180°, so ...

  (6x +10°) +(4x +6°) +(7x +14°) = 180°

  17x +10° = 180°

  17x = 170°

  x = 10°

__

Then the angles are ...

  6x -10° = 6·10° -10° = 50°

  4x +6° - 4·10° +6° = 46°

  7x +14° = 7·10° +14° = 84°

9514 1404 393

Answer:

Step-by-step explanation:

To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...

  D Subtract 2 × 8 from 18 × 13.

  E Subtract 16 from 18 × 13.

Given:

The function are:

[tex]f(x)=2x^3+5x^2-6x-7[/tex]

[tex]g(x)=2x-3[/tex]

To find:

The function (f-g)(x).

Solution:

We have,

[tex]f(x)=2x^3+5x^2-6x-7[/tex]

[tex]g(x)=2x-3[/tex]

We need find (f-g)(x).

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]

[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]

On combining like terms, we get

[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]

[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]

Therefore, the correct option is B.

Answer:

a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68

Step-by-step explanation:

solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.

[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].

Step-by-step explanation:

9x² - x³ - 9 + x

factored = x²(9 - x) - (9 - x)

= (9 - x)(x² - 1)

= (9 - x)(x + 1)(x - 1)

Answer:

11/12

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

2/12 + 9/12 = 11/12

Answer:

There are 9 possible numbers for the first number. There are 8 possible numbers for the second number since one number has been picked. For the third number there are 7 possible numbers.

9*8*7=5040

Step-by-step explanation:

Answer:

that is true

Step-by-step explanation:

Answer:

Step-by-step explanation:

First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.

14sqrt(2) = sqrt392

Use the definition of sine to find the value of a

sin(45) = opposite/hypotenuse = a/sqrt392

[tex]sin(45)=\frac{a}{\sqrt{392} }[/tex]

a = 14

Answer:

C=.65n

Step-by-step explanation:

It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents

So in all the cost is 0.65 cents for (n) or 1 pound of apples.

Answer:

c is or the apples n is for the pound of that apples

Step-by-step explanation:

Answer:

the answer is n = -7

I also put a image to show you how to solve the equation. I hope the image helps.

Answer:

n= -7

Step-by-step explanation:

Answer:

The answer is ->

x>-3

Answer:

poopjdjdjdjdndiddnr ddjdididndndnddndndjx

Step-by-step explanation:

poop kdfkdkddkejdfjdidjs didneidndzusnxixdn

1 1/2 hours

Time spent by Antonio in driving = 3 1/4 = 13/4

Time spent in gardening = 1 3/4 = 7/4

In order to find how much he spend driving than gardening, we can subtract 13/4 and 7/4.

13/4 - 7/4

Te denominator is same. So, we can directly subtract the numerators.

13-7/4

=6/4

= 3/2 = 1 1/2

Therefore, Antonio spent 1 1/2 hours more in driving than gardening.

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Answer:

A

Step-by-step explanation:

f(x) = 1/x

for rational function

Answer:

Step-by-step explanation:

5m+8m= 13m

-4z-2z= -6z

+3

= 13m-6z+3

Answer:

13m - 6z + 3

Step-by-step explanation:

Answer:

i tink is b

Step-by-step explanation:

The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.

Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,

4r + 350 = 550

The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ5