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Stells [14]
2 years ago
13

In a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers by bot

h the shirt and a pair of pants. If a customer is chosen at random what is the probability that he or she buys a shirt or a pair of pants?
Mathematics
1 answer:
svlad2 [7]2 years ago
8 0

Answer:

80%

Step-by-step explanation:

75% + 20% - 15% = 80%

The probability is 80%

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7^x=3^[x+4] solve x using logarithmic
Andrei [34K]

By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

<h3>How to solve an exponential equation by logarithms</h3>

<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:

  1. 7ˣ = 3ˣ⁺⁴     Given
  2. ㏒ 7ˣ = ㏒ 3ˣ⁺⁴      Definition of logarithm
  3. x · ㏒ 7 = (x + 4) · ㏒ 3     ㏒ aᵇ = b · ㏒ a
  4. x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3     Distributive property
  5. x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3      Existence of additive inverse/Modulative and associative properties
  6. x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3)     Existence of multiplicative inverse/Modulative property/Result

By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

To learn more on logarithms: brainly.com/question/20785664

#SPJ1

4 0
2 years ago
the drill must go 3/8 of the way through the sheet the sheet is 2.5 cm thick how deep should the drill be set
andrey2020 [161]

Answer:

15/16 cm

Step-by-step explanation:

The drill must go 3/8 of the way from one side of the sheet to the other.  The depth that this drill must reach is found by multiplying 2.5 cm by 3/8:

25       3       5         3

----- * ----- = ------ * ------ = 15/16 cm

10       8        2        8

7 0
3 years ago
So can anyone help me with #1 and 2 and show work I have no idea what I’m doing
Neporo4naja [7]

Answer:

1.

x = 44*2

<h2>x = 88</h2>

2.

x = 62*2

<h2>x = 124</h2>

3.

x = 108/2

<h2>x = 54</h2>

4.

x = 160/2

<h2>x = 80</h2>

5.

12x = 60*2

12x = 120

x = 120/12

<h2>x = 10</h2>

6.

5x = 50/2

5x = 25

x = 25/5

<h2>x = 5</h2>
3 0
3 years ago
Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2. What is the surfa
docker41 [41]

Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface  area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area  of the pyramids

\frac{12.2}{16} : \frac{x}{56}

x = 12.2 ×56×\frac{1}{16}

by solvingthe above terms

we get

x =42.7cm²

Hence the surface area of the smaller pyramid be 42.7cm²

Hence proved










3 0
3 years ago
Read 2 more answers
What point is an x-intercept of the quadratic function f(x)=(x+6)(x-3)
Katyanochek1 [597]
X-intercept is (-6, 0) , (3, 0)

7 0
3 years ago
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