MATHEMATICS COLLEGE

Find the indicated probability. a bag contains four chips of different colors, including red, blue, green, and yellow. a chip is selected at random from the bag and then replaced in the bag. a second chip is then selected at random. make a list of the possible outcomes (for example rb represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (hint: there are 16 possible outcomes.)

Answers

Answer 1
Answer:

Answer:

0.25

Step-by-step explanation:

Let

r = red

b = blue

g = green

y = yellow

  • If the first chip is r, the second can be r, b, g or y. The 4 possibilities are rr, rb, rg, ry.
  • If the first chip is b, the second can be r, b, g or y. The 4 possibilities are br, bb, bg, by.
  • If the first chip is g, the second can be r, b, g or y. The 4 possibilities are gr, gb, gg, gy.
  • If the first chip is y, the second can be r, b, g or y. The 4 possibilities are yr, yb, yg, yy.

From the 4 + 4 + 4 + 4 = 16 possible outcomes, there are 4 in which the chips are of the same color (rr, bb, gg, yy).  The probability that the two chips selected are the same color is

4/16 = 0.25 = 25%
Answer 2
Answer:

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You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Answers

Answer:

The probability of this event is represented by a value of 1.

Step-by-step explanation:

Probability of a certain event:

The probability of an event that is considered to be certain, that is, guaranteed to happen, is 100% = 1.

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck.

This means that the probability of this event is represented by a value of 1.

Find the measure of angle 'y'. 49° A. 60 degrees B. 70 degrees C. 80 degrees D. 110 degrees​

Answers

Answer:

70°

Step-by-step explanation:

61° + 49° + y = 180° (sum of angles of a triangle is always 180°)

so,

y= 180° - 61° - 49° = 70°

Plzzzz help giving 30 points

Answers

Answer:

why is there only 5 points?

Step-by-step explanation:

mimi read 1/4 of a book on wednesday. she read 82 more pages on thursday, and she finished the book on friday by reading the last 98 pages. how many pages were in mimi's book.

Answers

Answer:

240 pages

Step-by-step explanation:

Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.

see image.

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Find the value of t

Answers

Answer: t = 51

Step-by-step explanation:

Well hello buddy. How are you doing today? Might be a little bit bad because you have to deal with this weird triangle. BUT DONT WORRY DOG. I GOT YOU.

notice that that 112 number is on a straight line.... and straight lines are 180 degrees

With this in mind, lets subtract: 180 - 112 and we get= 68

ok so now we have these triangle angles: 68 and 61. also keep in mind that all angles of a triangle add up to 180

so 68 + 61 = 129

now do this: 180 - 129

the answer is 51

Answer:

51⁰

Step-by-step explanation:

there are 180⁰ on a straight line so if substrate 112⁰ from 180⁰ the answer will be 68⁰ so now we can get T simply like this below

61⁰+68⁰+T=180⁰

129⁰+T=180⁰

T=180⁰-129⁰

T=51⁰

Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.

Answers

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis = a=(52)/(2)=26\ \text{feet}

Semi-minor axis = b=13\ \text{feet}

The formula for ellipse is

(x^2)/(a^2)+(y^2)/(b^2)=1\n\Rightarrow (x^2)/(26^2)+(y^2)/(13^2)=1

At 10 feet is the width of the truck.

The truck is passing through the center so the x=(10)/(2)=5

(5^2)/(26^2)+(y^2)/(13^2)=1\n\Rightarrow y=\sqrt{(1-(5^2)/(26^2))* 13^2}\n\Rightarrow y=12.757\ \text{feet}

Now y=12.757\ \text{feet}>12\ \text{feet}

So, the height of the archway 5 feet away from the center is 12.757 feet.

Learn more:

brainly.com/question/15864536?referrer=searchResults

Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
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