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katovenus [111]
3 years ago
14

Solve the Equation below : t -1/3 = 1/8 Solve for t. ​

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

t-1/3= 1/8

t-1/3+1/3= 1/8+1/3

t= 1/8+1/3

Find common denominator for the fractions.

common denominator is 24

Multiply by 3 for 1/8

Multiply by 8 for 1/3

t= 3/24+8/24

t= 11/24

Answer is t= 11/24

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Subtract. Express your answer in simplest form. 5/8−1/6 =
bazaltina [42]

Answer:

0.45833..... OR \frac{11}{24}

Step-by-step explanation:

The common denominator is 24.

You get: \frac{15}{24} and \frac{4}{24}

Subtracting you get: \frac{11}{24}

<em>Hope this helps!!</em>

4 0
3 years ago
Which statements are correct interpretations of this graph?
kupik [55]

Answer:

B. 3 pages are edited every five minutes

D. 6/10 of a page is edited per minute

Step by step:

Three pages are done at an interval of five minutes.

Six tenths of a page is done every minute

0.6 * 5 = 3 per five minutes

The other statements are false.

12/3 = 4, four done every minute, really?

5 pages are edited every three minutes.

This would disprove statement B.

And does not align with the graph.

Hope this helps.

7 0
3 years ago
Restless Leg Syndrome and Fibromyalgia
Anna11 [10]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}

            =\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

3 0
3 years ago
Please help thanks !
Kitty [74]

Answer:

option D

Step-by-step explanation:

x^{2} + y^{2} = 16\\\\x^{2} = 16- y^{2}

equation 2:

\frac{x^{2}}{4} - \frac{y^{2}}{25} = 1

so we have:

\frac{16- y^{2} }{4}-\frac{y^{2}}{25}= 1

7 0
3 years ago
A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable
nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0
3 years ago
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