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likoan
11 days ago
12

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop

le use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Mathematics
2 answers:
Inessa [12.5K]11 days ago
8 0
The probability indicating that this individual does not make use of any facility is 0.09. A breakdown of the number of users across various facilities leads to the calculation that assesses the likelihood someone uses at least one facility to be 0.91.
zzz [12.3K]11 days ago
7 0
The probability that an individual does not utilize any facility is 0.0889. In a sports center housing 135 individuals, 73 use the gym, 59 use the swimming pool, and 31 use the track. The respective overlaps and total probabilities yield approximately this result.
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What is the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008 . What might have been the
AnnZ [12381]

Answer:

The exact population of Vermont in 2008 could have been around 618,000

Step-by-step explanation:

* Here's how rounding to the nearest ten thousand works:

- Numbers ending with the last four digits between 0001 and 4999 are rounded down to the nearest lower multiple of ten thousand

- Example: 83,525 rounds down to 80,000.

- If the last four digits are 5000 or above, round up to the next higher ten thousand

- Example: 58,988 rounds up to 60,000

* Applying this rule to the problem given:

Since the rounded population is 620,000 to the nearest ten thousand, the actual population could be any value with the last four digits from 0001 to 4999 (like 618,000) or from 5000 upwards (like 624,000).

Therefore, 618,000 might represent the actual population of Vermont in 2008

6 0
2 months ago
What is 3.242424 as a mixed number
Zina [12379]

Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

Initially, we write:

x

=

3

.

¯¯¯¯

24

After that, we will multiply each side by

100

leading to:

100

x

=

324

.

¯¯¯¯

24

Subsequently, we will subtract the first equation from the second equation:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can then solve for

x

in the following manner:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Next, we convert this improper fraction to a mixed numeral:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

=

3

8

33

6 0
1 month ago
Read 2 more answers
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the tempera
Leona [12618]
20.7 degrees C
Step-by-step explanation:
The simplest way to approach this is with a calculator or paper. (it's straightforward math) To begin, start with 19.4. Then, it increases by 3.8. Adding this to 19.4 results in 23.2, but then it decreases again by 2.5 degrees. Thus, from 23.2, subtract 2.5 to get 20.7 degrees.
5 0
1 month ago
A park ranger has 32 feet of fencing to fence four sides of a rectangular recycling site. What is the greatest area of recycling
Inessa [12570]
The maximum area that can be enclosed is 64 ft². To achieve the largest area while minimizing the perimeter, the dimensions should be as equal as possible. Allocating 32 feet of fencing for four sides gives us 8 feet per side, resulting in a square with a side length of 8; thus, the area equals 8*8 = 64.
8 0
23 days ago
Read 2 more answers
Value of sec Square 26 degrees - cot square 64 degrees is
Leona [12618]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}

Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

\frac{1-cos^2(64\°)}{sin^2(64\°)}

From this, we find

1-cos^2(64\°)=sin^2(64\°)

By substitution,

\frac{sin^2(64\°)}{sin^2(64\°)}=1

4 0
2 months ago
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