Lola pulls two marbles fro. A bag that contains four red marbles four blue marbles and 12 yellow marbles without replacing them

what is the probability that she pulled out a red marble first and a yellow marble second ?express your answer in decimal form rounded to the nearest hundreth

Mathematics

1 answer:

Harrizon [31]4 years ago

7 0

$|\Omega|=20\cdot19=380\\|A|=4\cdot12=48\\\\P(A)=\dfrac{48}{380}\approx0.13$

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LenaWriter [7]

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3 years ago

If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ

KatRina [158]

Answer: 1.64 units

Step-by-step explanation:

Given the following :

X = 39°

Y = 58°

AC = 4 units

Using triangle ABC with x = 39° and AC = 4UNITS,

USING THE Pythagoras, the SOHCAHTOA notation:

AC = opposite = 4units

AB = hypotenus

Sinθ = opposite / hypotenus

x = Θ = 39°

Sinx = opposite / hypotenus

Sin39° = 4 / AB

0.6293203 = 4 / AB

AB = (4 ÷ 0.6293203) = 6.3560629 units

Taking triangle ADC, with x = 58° and AC = 4UNITS,

AC = opposite = 4units

AD = hypotenus

Sinθ = opposite / hypotenus

y = Θ = 58°

Sinx = opposite / hypotenus

Sin58° = 4 / AD

0.8480480 = 4 / AD

AD = (4 ÷ 0.8480480) = 4.7167136 units

Difference between AB and AD

(6.3560629 - 4.7167136) = 1.6393493

= 1.64 units

6 0

3 years ago

A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x2 + 3x. A beam of light modeled by the eq

slava [35]

See the attached figure.

Water model ⇒⇒⇒ y = -0.3 x² + 3x        ( blue graph )
Light model   ⇒⇒⇒ -2x + 5.5 y = 19.5    ( red graph )
The intersection between the two models A and B
A = ( 1.657 , 4.148 )
B = ( 7.13 , 6.138 )

<span>B is at a higher level than point A
</span>
<span>The distance from the ground level to point A = y-coordinate of point A
                                                                        = 4.148
</span>