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2 years ago

If ƒ = {(2, 5), (3, 2) (4, 6), (5, 1), (7, 2)}, then ƒ is a function. True False

Mathematics

2 answers:

Serga [27]2 years ago

7 0

True I think.......................................

Leni [432]2 years ago

6 0

Answer: True. f is a function.

Step-by-step explanation:

We know that function is a relation from a set of inputs to a set of possible outputs where each input is associated to exactly one output.

It means a relation for which each value from the set the first coordinate of the ordered pairs is related with exactly one value from the set of second coordinate of the ordered pair.

For the given set f= {(2, 5), (3, 2) (4, 6), (5, 1), (7, 2)}, here each input is associated to exactly one output.

Therefore, it is a function.

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A company that translates books between various languages is currently testing a computer-based translation service. The founde

maria [59]

Step-by-step explanation:

this is the answer of this question

8 0

2 years ago

A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft

Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

$\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)$

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

$\frac{T(t2)-T(t1)}{t2-t1}$ ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

$\frac{27 - 46}{15 - 0}$ = -h (27 - Tenv)

$\frac{19 - 27}{15 - 0}$ = -h (19 - Tenv)

Now we have a system of two equations and two variables

$\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h$

$\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18$

The refrigerator was at around 13 ∘C

6 0

2 years ago

Simplify the expression.<br> - (m<br> m + 3n - 13)

natulia [17]

Answer:

$= - {m}^{2} - 3n + 13$

Step-by-step explanation:

$- (m \times m + 3n - 13)$

$m \times m = {m}^{1} \times m$

${m}^{1} \times {m}^{1} = {m}^{1 + 1} = {m}^{2}$

$- ( {m}^{2} + 3n - 13)$

$= - {m}^{2} - 3n + 13$

7 0

2 years ago

Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 60, \sigma = 16$