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2 years ago

Learning Diagnostic

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

Step-by-step explanation:

The given lengths do not satisfy the Pythagorean theorem:

34² ≠ 33² +16²

1156 ≠ 1089 +256

The given sides do not form a right triangle.

_____

Alternate solution

You can also compute 34² -33² = (34+33)(34-33) = 67·1 = 67 ≠ 16².

Even simpler, a Pythagorean triple will never have zero or two even numbers. The numbers (16, 33, 34) cannot be a Pythagorean triple.

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Allan lives 6,000 feet from the high school, and Ashley lives 2,000 meters from the same high school. Make a ballpark comparison

Naily [24]

Answer:

D) Ashley and Allan live about the same distance from the school

Step-by-step explanation:

1 m = 3.3 ft . . . . . . given

2000 m = 6600 ft . . . . . multiply the above equation by 2000

Since 6600 ft is about the same as 6000 ft, the appropriate choice is D.

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3 years ago

Part A: Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Writ

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Answer:

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2 years ago

Grady marks down some $5.59 pens to $5.09 for a week and then marks them back up to $5.59. Find the percent of increase and the

Romashka-Z-Leto [24]

Answer:

Percent of decrease $=8.9\%$

Percent of increase $=9.8\%$

Increase percent $>$ decrease percent

Step-by-step explanation:

Decreasing :

Initial price $=\$5.59$

Decreased price $\$5.09$

Total decrease $=5.59-5.09$

$=\$0.50$

Percentage decrease $=\frac{Total\ decrease}{Intitial\ price}\times100$

$=\frac{0.50}{5.59}\times100\\\\=8.94\approx8.9\%$

Increasing :

Initial price $=\$5.09$

Increased price $=\$5.59$

total increase $=5.59-5.09$

$=0.50$

Percentage increase $=\frac{total\ increase}{initial price}\times100$

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3 years ago

Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 4 black balls. Jar 2 has 2 white balls and 1 bla

Lady_Fox [76]

Answer:

The probability of finding the white ball from second Jar = 20/39

Step-by-step explanation:

Jar 1 contains 1 White ball and 4 black balls

P(w | J₁) = 1/5

Jar 2 contains 2 White balls and 1 black ball

P(w | J₂) = 2/3

Jar 1 contains 2 White balls and 1 black ball

P(w | J₃) = 2/3

Also, Given

P(J₁) = 1/2

P(J₂) = 1/3

P(J₃) = 1/6

P(w) = P(J₁)×P(w | J₁) + P(J₂)×P(w | J₂) + P(J₃)×P(w | J₃)

P(w) = 1/2×1/5 + 1/3×2/3 + 1/6×2/3 =13/30

To find: P(J₂ | w)

According to conditional probability,

P(J₂ | w) = P(J₂)×P(w | J₂)/P(w)

P(J₂ | w) = (1/3×2/3)/(13/30)

P(J₂ | w) = (1/3×2/3)/(13/30) = 20/39

The probability of finding the white ball from second Jar = 20/39

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3 years ago

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lisov135 [29]

Answer: 1, 3

Step-by-step explanation:

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2 years ago