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erastovalidia [21]
2 years ago
12

Julio takes a multivitamin and a calcium vitamin every day. One at a time, he randomly

Mathematics
1 answer:
RUDIKE [14]2 years ago
8 0

Answer:

21 / 400

Step-by-step explanation:

Given 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container.

The probability that Julio will select an orange  multivitamin is

   7 ÷ 8 + 5 + 7 = 7/20

Also, given 11 berry, 3 lemon, and 6 pineapple  gummy vitamins out of the calcium container

The probability that Julio will select a lemon calcium is

3 ÷ 11 + 3 + 6 = 3/20

Therefore, since the event of selecting are independent of each other

probability that Julio will select an orange  multivitamin and a lemon calcium vitamin is

7/20 × 3/20

= 21 / 400

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Answer:

(B)1005 feet

Step-by-step explanation:

In the attached diagram

\angle y =82^\circ\\\angle x =60^\circ

|AG|=1400 feet

Distance from point C to point G=|CG|

Using Trigonometry in Triangle ACG

\tan 60^\circ=\dfrac{1400}{CG}\\ CG=\dfrac{1400}{\tan 60^\circ}\\\approx 808$ feet

Using Trigonometry in Triangle BCG'

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Therefore, the distance from balloon B from balloon A

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4 0
2 years ago
A child rides a pony on a circular track whose radius is 5.25 m. a) Find the distance traveled and the displacement after the ch
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Answer:

a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]

b) distrance traveled increases when the child completes one circuit of the track.

Step-by-step explanation:

a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.

In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius

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And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:

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b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:

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32.99 is more than 16.49 so we are certain that the distance increases.

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