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DochEvi [55]
3 years ago
10

3. Find the length of the missing side given the information below.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0
<h3>Answer:  12.5  (choice C)</h3>

=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
52 /? = 20/100<br><br>what is the missing denominator??? ​
mezya [45]

Answer:

1140

Step-by-step explanation:

52/x=20/100

52(20)=100(x)

52(20) = 1040

100(x) = 100

1040+100= 1140

8 0
3 years ago
Please HELP NOW WILL GIVE BRAINLIEST
belka [17]

Answer:

7l=2l+r

Step-by-Step explanation:

4 0
2 years ago
Read 2 more answers
Please help meeeee xoxx
docker41 [41]

Answer:

b)4 11/10

Step-by-step explanation:

4 0
3 years ago
An international company has 27,200employees in one country. If this represents
Mariana [72]
23.2% of the total employees is 27,200

0.232x = 27,200
x = 27,200 / 0.232
x = 117,241 (thats rounded) <==
6 0
3 years ago
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