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melomori [17]
2 years ago
11

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

le use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
Mathematics
1 answer:
Maru [420]2 years ago
6 0

p(the person does not use any facility)= 59/130

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Please help me asap! Could you please explain how you got the answer
svetoff [14.1K]

Answer:

B) 23

Step-by-step explanation:

Table:          <u>  Algebra | No algebra | Total</u>

Physics        |      4           Step 1: 8      12

No physics  |Step 2: 15

Total            |      19                              30

We look for the number of people who are in algebra and no physics or physics and no algebra.

1. 12 - 4 = <em>8</em>

2. 19 - 4 = <em>15</em>

3. We find the total of those numbers: <em>15 + 8 =</em> 23

7 0
2 years ago
Henry works at a warehouse where he earns $23.56 per hour. How much money will Henry earn after working for 37 hours and 42 minu
Burka [1]

Answer:

$888.21

Step-by-step explanation:

We'll break this problem into two chunks.

First, find the number of dollars Henry gets after working for 37 hours. Since he gets paid $23.56 per hour, all you do is multiply how many hours he's worked (37) by the rate he gets paid (23.56) which gets you $871.72.

Second, adding 42 minutes onto the 37 hours. Since there are 60 minutes in one hour, all you have to do is divide 42 minutes by 60 minutes to get how much of 42 minutes is 1 hour, which is 0.7. Multiply 0.7 by 23.56 (the rate he gets paid per hour) and you have $16.49.

Adding the two sums gets you 888.21 dollars in total.

8 0
2 years ago
Orchids are a family of thousands of types of flowers that all share the same shape. Many gardening clubs are devoted to collect
irakobra [83]

Answer:

The correct options are;

1) Which type needs the highest temperature to grow

2) Do all of the types make food the same way

3) How long does it take for a specific type to make seeds

Step-by-step explanation:

The number of types of species in the orchid family = Several thousand

The tasks the gardening clubs are devoted to = Collecting, Studying, and growing of the orchids

The manner of the growth of the orchids = Difficulty observed in growing outside the orchid's natural habitat

Scientific questions are objective questions that are measurable, well defined about parameters that can be controlled which can be answered by means of an experiment and meant to provide a deeper understanding of the nature of the world around us

Therefore, the scientific questions that can be asked about a collection of different orchid types are;

1) Which type needs the highest temperature to grow

The above is a question that has a defined parameter (temperature) which is measurable and the answer can be provided by experimenting

2) Do all of the types make food the same way

An experiment with different orchid types will provide an answer to the above question

3) How long does it take for a specific type to make seeds

The length of time for it takes the seed to grow is measurable within an experiment.

8 0
2 years ago
Read 2 more answers
The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c
Step2247 [10]
The side lengths could be 10, 24 and 26 units.

We must first find the side lengths.  We use the distance formula to do this.

For RT:
d=\sqrt{(11--1)^2+(-1--1)^2}&#10;\\=\sqrt{(11+1)^2+(-1+1)^2}&#10;\\=\sqrt{12^2+0^2}=\sqrt{144}=12

For ST:
d=\sqrt{(11-11)^2+(4--1)^2}&#10;\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5

For TR:
d=\sqrt{(11--1)^2+(4--1)^2}&#10;\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length.  10, 24 and 26 are all 2x the original side lengths, so this works.
5 0
2 years ago
Simplify: −3x(4x − 5xy + 8y)
777dan777 [17]

Answer:

-12x - 9xy

Step-by-step explanation:

-3x(4x - 5xy + 8y)

distribute

-12x + <u>15xy - 24xy</u>

combine like terms

-12x - 9xy

3 0
2 years ago
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