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Vika [28.1K]
3 years ago
6

Gretchen computed the geometric mean of two numbers. One of the

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

9514 1404 393

Answer:

  7

Step-by-step explanation:

When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:

arithmetic, geometric, harmonic.

The other number would be 7.

__

The geometric mean (m) of a and b is ...

  m = √(ab)

We have ...

  7 = √(7b)

  49 = 7b . . . . . square both sides

  7 = b . . . . . . . .divide by 7

a = b = m = 7 in this case.

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x = √7km

Step-by-step explanation:

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In 1989, Dutch ice skater Dries van Wijhe skated 200 km at an average speed of 35.27 km/h. How long was he skating?
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Divide
200 by 35.27
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3 years ago
Maggie drew triangle and then triangle . Triangle is congruent to triangle only if ∠ is equal to what value?
Phantasy [73]

Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

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GI bisects DGH so that m DGI is x-3 and mIGH is 2x-13 find the value of x
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x = 10

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3 years ago
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The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,
Mama L [17]

Answer:

(a)\ P(x = 0) = 0.2725

(b)\ P(x \ge 1) =0.7275

(c)\ P(x \le 2) = 0.8948

Step-by-step explanation:

Given

n = 8 --- 8 friends

p = 15\% --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}

Solving (a): P(x = 0) --- None has done one time fling

P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}

P(x = 0) = 1* 1 * (1 - 0.15)^{8}

P(x = 0) = 0.85^8

P(x = 0) = 0.2725

Solving (b): P(x \ge 1)

To do this, we make use of compliment rule:

P(x = 0) + P(x \ge 1) =1

Rewrite as:

P(x \ge 1) =1 - P(x = 0)

P(x \ge 1) =1 - 0.2725

P(x \ge 1) =0.7275

Solving (c): P(x\le 2)--- Not more than 2 has one time fling

This is calculated as:

P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)

We have:

P(x = 0) = 0.2725

P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}

P(x = 1) = 8* (0.15) * (1 - 0.15)^7

P(x = 1) = 0.3847

P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}

P(x = 2) = 28* (0.15)^2 * (1-0.15)^6

P(x = 2) = 0.2376

So:

P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)

P(x \le 2) = 0.2725 + 0.3847 + 0.2376

P(x \le 2) = 0.8948

4 0
3 years ago
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