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Schach [20]
3 years ago
7

Given rectangleWXYZ with m angle W = 4n + 5 and m angle Y = 3n + 21. What is the measure of angle W

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

Given,

WXYZ is a rectangle.

All angles are equal.

Each angle is a right angle.

angleW = 90°

Step-by-step explanation:

Given,

WXYZ is a rectangle.

All angles are equal.

Each angle is a right angle.

angleW

= 4n + 5 = 90

4n = 90 - 5

4n = 85

n =  \frac{85}{4}

angleW

4n + 5

4  \times\frac{85}{4}  + 5

85 + 5

90

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3 years ago
The television show Found has been successful for many years. That show recently had a share of 19, meaning that among the TV se
sergiy2304 [10]

Answer:

a) 0.0523 = 5.23%

b) 0.9477 = 94.77%

c) 0.2242 = 22.42%

d) YES

Step-by-step explanation:

This situation could be modeled with a binomial distribution where

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P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}

Where p is the probability of “success”.

In this case we can assume that “success” is the fact that the household interviewed is tuned to Found.  

So, p=0.19 and n = 14 (the households interviewed).

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P(X=0)=\binom{14}{0}0.19^0(0.81)^{14}=0.0523=5.23\%

b)

The probability that at least one household is tuned to Found is  

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c)

The probability that at most one household is tuned to Found is  P(X=0)+P(X=1)

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3 0
4 years ago
5. If the tree's circumference is 141.3ft, what is its diameter?
BigorU [14]

Answer:

d ≈ 45 ft

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Circumference of a Circle Formula: C = πd

Step-by-step explanation:

<u>Step 1: Define</u>

Circumference <em>C </em>= 141.3 ft

<u>Step 2: Solve for </u><em><u>d</u></em>

  1. Substitute in <em>C</em> [Circumference Formula]:                                                       141.3 ft = πd
  2. Substitute in π (approximation):                                                                      141.3 ft ≈ 3.14d
  3. [Division Property of Equality] Divide both sides by 3.14:                              45 ft ≈ d
  4. Rewrite:                                                                                                             d ≈ 45 ft
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I need help with this problem please use the five step plan
Tpy6a [65]
Do 30+14 which is 44
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