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Alexeev081 [22]

2 years ago

12

A store sells a box of high liters that contains 4 yellow, 3 blue, 2 pink, and 1 green high liter. What is the probability of ra

ndomly picking first 1 blue and then 1 pink highlighter from the box?

1 answer:

Iteru [2.4K]2 years ago

3 0

There are 10 in total
3/10 x 2/9 = 6/90
Reduce
1/15
1/15 is the chance of that happening

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A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting

VLD [36.1K]

Answer:

5 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:

(13 - 3) / 2 = X

10/2 = X

5 = X

Therefore, 5 feet of wall should be on each side of the painting.

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2 years ago

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by <em>b</em> :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since <em>a/b</em> < <em>c/d</em>, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by <em>b/d</em> to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.

For the other side, you can do something similar and divide through everything by <em>d</em> :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and <em>a/b</em> < <em>c/d</em> tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.

Then together we get the desired inequality.

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3 years ago

Evaluate the trigonometric funtion of the angle theta

jeka57 [31]

The last side would be 10

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2 years ago

There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes,and 2 less yellow bikes than green bikes.how ma

Phoenix [80]

Y+4= x blue bikes
G-2= x yellow bikes

4y+4= 8 blue bikes
4y+2= 6 green bikes
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8 blue bikes
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=
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3 years ago

What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6

Doss [256]

Answer:

2 and 6

Step-by-step explanation:

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3 years ago

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