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AlexFokin [52]
3 years ago
11

Melissa has a bag that contains 6 red marbles, 8 yellow marbles, and 18 blue marbles. if she chooses one marble from the bag, wh

at is the probability that the marble is not blue?
Mathematics
2 answers:
Ksju [112]3 years ago
8 0

Answer:

\frac{7}{16} ~apex

Step-by-step explanation:

RoseWind [281]3 years ago
4 0
The probability that the marble she chooses  is not blue can be solve in two ways.
first way: is to solve the probability of red and yellow marbles, so that is the probability of not getting blue
P = 6 + 8 / 6 + 8 + 18P = 7/16
2nd way: is to solve the null of blue or 1 minus the probabilty of choosing blue marble
P = 1 - (18 / 6 + 8 + 18)P = 1 - ( 9 / 16)P = 7/16
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Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle \triangle ABC is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, <em>AC </em>= <em>10 foot </em>

Also, we are given that angle made by the base of ladder with the ground is 72^\circ.

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\angle BAC = 72^\circ

Using trigonometric functions:

cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches

sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow  sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow  0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches

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Distance of top of ladder from building's base: <em>114 inches </em>

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3 years ago
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2 years ago
Read 2 more answers
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