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3 years ago

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You are handed two boxes. you cannot see what is inside but you have reliable information that one of the boxes contains two gre

en and ten red balls and the other contains eight green and four red balls. you select a ball from one of the boxes at random and take it out. it is red. which of the two boxes is it more like to have come from? what is that probability

1 answer:

Pavel [41]3 years ago

4 0

The probability of the first box with 2 green and 10 yellow is 1:5
the probability of the second box with 8 green and 4 red us 1:2.
The red ball most likly came from the first box.

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All books in a store are being discounted by 40%. let x represent the regular price of any book in the store which expression de

antoniya [11.8K]

To find the sale price<span> we can set up a proportion. 25/100 = </span>x<span>/48. We keep the 100 and 48 both on the bottom of the fraction since they </span>represent<span> the "whole". </span>x represents<span> the </span>discount<span> off the </span>full price<span> of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, </span>if<span> you notice that 25/100 ...</span>

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3 years ago

AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.

NeTakaya

<span>AD←→ is tangent to circle M at point D
so
<QDM = 90
given </span><span>∠DMQ is 50
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</span>∠<span>DQM = 90 - 50
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7 0

3 years ago

Read 2 more answers

Which represents x2 – 12x + 36 in factored form?

alexandr402 [8]

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

The given quadratic equation is $x^2 - 12x + 36 = 0$ .

A quadratic equation can be factored in the form $(x - a)(x - b)$ where $-a$ and $-b$ will form the roots of the equation.

Here the roots are: $+6 , +6$ .

The factored form would simply be: $(x - 6) (x - 6)$ .

3 0

2 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

The price of a swimming pool

Goryan [66]

Answer:

$Sales\:\:Price=List\:\:Price-Discount$
Sales price= $ $1167.25$ List price=L Discount $=19.5\%\:of\:L=0.195L$
$1167.25=L-0.195L$

Step-by-step explanation:

The percentage discount is $19.5\%$

The discount is always given on the list price.

$Sales\:\:Price=List\:\:Price-Discount$

Let the list price be L, then

List price=L

Sales price= $ $1167.25$

Discount $=19.5\%\:of\:L=0.195L$

We substitute into the equation to get:

$1167.25=L-0.195L$

$1167.25=0.805L$

Divide both sides by 0.805

$\frac{1167.25}{0.805}=L$

$1450=L$

The list price of the swimming pool is $1450

5 0

3 years ago