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3 years ago

15

Suppose the probability of having a girl is 50%. If a study finds that the probability of being interested in sports if you are

a girl is 60%, what is the probability of parents giving birth to a girl who is interacted in sports?

1 answer:

ra1l [238]3 years ago

5 0

Answer:

30%

Step-by-step explanation:

.5 * .6 = .3

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HELP! IS THIS RIGHT?

Stells [14]

Answer:

Yes a 1:3 ratio

Step-by-step explanation:

Yes triangle A is 3 times bigger than triangle B. So it takes 3 B triangles to make one A triangle.

6 0

2 years ago

What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8

deff fn [24]

By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

$y - y_1 = \frac{1}{2}(x - x_1)$ , where $(x_1, y_1)$ represents the points being passed through.

$y - 4 = \frac{1}{2}(x + 6)$
$2y - 8 = x + 6$
$2y = x + 14$
$y = \frac{1}{2}x + 7$

3 0

3 years ago

Find and simplify each of the following for

WINSTONCH [101]

Answer:

(A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

(B) f(x + h) - f(x) = 8xh + 4h² - 6h

(C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 4x² - 6x + 6

- To find f(x + h) substitute x in the function by (x + h)

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) = 4(x + h)² - 6(x + h) + 6

- Lets simplify 4(x + h)²

∵ (x + h)² = (x)(x) + 2(x)(h) + (h)(h) = x² + 2xh + h²

∴ 4(x + h)² = 4(x² + 2xh + h²) = 4x² + 8xh + 4h²

- Lets simplify 6(x + h)

∵ 6(x + h) = 6(x) + 6(h)

∴ 6(x + h) = 6x + 6h

∴ f(x + h) = 4x² + 8xh + 4h² - (6x + 6h) + 6

- Remember (-)(+) = (-)

∴ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

* (A) f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

- Lets find f(x + h) - f(x)

∵ f(x + h) = 4x² + 8xh + 4h² - 6x - 6h + 6

∵ f(x) = 4x² - 6x + 6

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - (4x² - 6x + 6)

- Remember (-)(-) = (+)

∴ f(x + h) - f(x) = 4x² + 8xh + 4h² - 6x - 6h + 6 - 4x² + 6x - 6

- Simplify by adding the like terms

∴ f(x + h) - f(x) = (4x² - 4x²) + 8xh + 4h² + (- 6x + 6x) - 6h + (6 - 6)

∴ f(x + h) - f(x) = 8xh + 4h² - 6h

* (B) f(x + h) - f(x) = 8xh + 4h² - 6h

- Lets find $\frac{f(x+h)-f(x)}{h}$

∵ f(x + h) - f(x) = 8xh + 4h² - 6h

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh + 4h^{2}-6h}{h}$

- Simplify by separate the three terms

∴ $\frac{f(x+h)-f(x)}{h}=\frac{8xh}{h}+\frac{4h^{2} }{h}-\frac{6h}{h}$

∴ $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

* (C) $\frac{f(x+h)-f(x)}{h}=8x+4h-6$

4 0

2 years ago

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

solong [7]

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

The volume of a cylinder is calculated as thus:

$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

$Volume = 18312.48$

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

8 0

3 years ago

1) (Modelo lineal de costo) Juan Chávez produce juguetes didácticos, para la fabricación de estos juguetes tiene costos fijos me

grandymaker [24]

Answer:

C = 2000 + 25 * X

$ 7000

Step-by-step explanation:

We have that the value of the total costs is equal to the fixed costs plus the variable costs.

As fixed costs we have $ 2000 and variable cost we have $ 25 for each unit, that is, the equation for total costs would be:

Let x be the number of toys, then:

C = 2000 + 25 * X

If there are 200 toys, the cost would be:

Replace x with 200:

C = 2000 + 25 * 200

C = 7000

In other words, the cost of producing 200 toys would be $ 7000.

7 0

3 years ago