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Doss [256]
3 years ago
9

Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an

A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

Travis should pick to play the hat game.

Step-by-step explanation:

You would need to evaluate the probablity of winning in each option

Option 1 (rolling die)

p(roll 2 or 3)=2/6

p(roll 2 or 3)=1/3=.33

Option 2 (pick letters)

p(pick A or B) = 2/5

p(pick A or B) = .4

.33<.4

Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.

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kompoz [17]

Option C:  Loan F's effective rate will be 0.302 percentage points lower  than Loan G's.

<h2>Given that:</h2>
  • For loan F: Interest rate is 5.66% compounding  monthly.
  • For loan G: Interest rate is 6.02% compounded semi-annually.

<h2>Calculations:</h2>

Effective rate for loan F will be calculated as:

r = (1 + \dfrac{0.0566}{12})^{12}  - 1    \: \: ; n = 12\\or\\r = 0.0580916

Effective rate for loan G:

r = (1 + \dfrac{0.0602}{2})^{2}  - 1    \: \: ; n = 2\\or\\r = 0.061106

Thus the difference between effective rate of loan G from that of loan F is

= 0.061106 - 0.058091\\\approx 0.00302\\or\\0.00302  \times 100 \: percent\\\\= 0.302 \: percent

Thus option C is correct.

Learn more here:

brainly.com/question/25857212

6 0
2 years ago
a triangle with vertices (0 0) (5 3) (10 1) is dilated with a center of dilation at the origin by a factor of 5. what are the ne
Anastasy [175]
Algebraic rule —-> (x,y)—->(5x,5y)

(0,0) —> 0,0
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6 0
3 years ago
A 20-foot ladder is leaning against a tree. The bottom of the ladder is 12 feet away from the bottom of the tree. Approximately
arsen [322]
Pythagorean theorem is a^2 + b^2 = c^2. the hypotenuse is always the longest, so lets plug in the values.

a^2 + 12^2 = 20^2
if we simplify, we get a^2 + 144 = 400

then subtract 400-144 = 256
then find the sq. root of 256 = 16.

the answer is 16 feet
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nadya68 [22]

Answer:

360 degrees

Step-by-step explanation:

the exterior angles of the triangle is 360 degrees

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