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Ronch [10]
3 years ago
11

Suppose there are 6 runners in the finals of a 100 m sprint, Abbie, Becca, Clarice, Danna, Emma, and Francine. Answer each of th

e following questions.
1. An analyst, Grace, gives Abbie a 12% chance to place first and Becca an 8% chance to place second. Assume these percentages are accurate. Can we determine the probability that Abbie will place first and Becca will place second? Why or why not?

2. Grace further informs us that the two favorites to win the race are Danna and Francine. Grace gives Danna a 48% chance to win the race and Francine a 32% chance to win. Assume these percentages are accurate. Find the probability that Danna or Francine wins the race, if possible. If not possible, explain why.

3. Suppose Abbie places first. Does this mean that Grace's probabilities were wrong? Justify your answer using terms and reasoning discussed in Chapter 5.

Bonus: Can we determine who Grace thinks is third most likely to win the race? If so, who?
Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

grace will not win the race because she is to slow thanks and I would appriciate if i got brainlies i just need one more crown

Step-by-step explanation:

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The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
2 years ago
2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
What is the value of x in the equation x + 24. 5 =34. 8
ser-zykov [4K]

Answer:

x = 10.3

Step-by-step explanation:

x + 24. 5 = 34.8

  - 24.5   - 24.5

x = 10.3

Check your answer:

x + 24. 5 = 34.8

10.3 + 24.5 = 34.8

34.8 = 34.8

Hope this helps!

3 0
1 year ago
Read 2 more answers
What is the answer to this question?
irina [24]

Answer:

1. \frac{33}{40}  

2. \frac{19}{35}

Step-by-step explanation:

1. (\frac{5}{8} * \frac{5}{5}) + (\frac{1}{5} * \frac{8}{8}) = \frac{33}{40}

8 0
2 years ago
How much is 55 as a percentage of 50?
zhenek [66]

Answer:

50 27.5

50.01 27.5055

50.02 27.511

50.03 27.5165

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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