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Zigmanuir [339]
3 years ago
15

Jon's closet has 3 black shirts, 8 blue shirts, 6 black pants and 7 blue pants. He wants to determine the probability of selecti

ng a black piece of clothing OR a shirt from his closet. He solves the probability this way: P(black piece of clothing or a shirt) = P(black piece of clothing) + P(shirt) = 9/24+11/24=20/24=56 Did he solve it correctly?please explain
Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

Jon did determine the probability correctly.

Step-by-step explanation:

<em>In Jon's closet, there are a total of 24 clothes. Among those pieces of clothing, there are a total of 9 out of 24 clothes that are black. There are also 11 shirts out of 24 clothes. </em>

<em />

<em>When a probability has OR in it, it means to add.</em>

<em />

<em>11/24 plus 9/24 gives you 20/24.</em>

<em />

<em>Therefore, Jon is correct.</em>

<em />

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A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
4 years ago
Some one please help. There is a pic down below
Ahat [919]
Could you send the picture so I could help please :)
3 0
4 years ago
Pls help :) i really need to finish it
Licemer1 [7]

Answer:

ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch

Step-by-step explanation:

5 0
3 years ago
How to convert 0.315151515 into a fraction?
Dafna11 [192]

It would be 315151515/1000000000

count the digits after decimal, divide that by the power of tenth of that

5 0
3 years ago
Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.
jeyben [28]

Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

3 0
2 years ago
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