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2 years ago

100 POINTS PLUS BRAINLIST

Mathematics

1 answer:

vivado [14]2 years ago

5 0

tanB=tanY
cosB=cosY
sinB=sinY

$\\ \rm\hookrightarrow sinY=\dfrac{P}{H}=\dfrac{9.6}{29.6}=0.32$

$\\ \rm\hookrightarrow cosY=\dfrac{B}{H}=\dfrac{28}{29.6}=0.94$

$\\ \rm\hookrightarrow tanY=sinY/cosY=0.34$

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There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL

Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since $\lim_{n \to \infty} \frac{a}{2^{n}b }$ = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

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A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, wh

Ipatiy [6.2K]

Answer:

Given:

A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs

Average refers to mean

a. Last month all of their patients lost at least 8 lbs.

Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False

b. Last month at least one of their patients lost exactly 8 lbs.

Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.

c. Two months ago some of their patients lost at least 8 lbs.

Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.

d. Last month at least one of their patients lost less than 3 lbs.

Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.

e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.

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Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True

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2 years ago

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Yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann

Sati [7]

Y = T+3 (i)
T = H+2 (ii)
Y = 2*H (iiii)

T = H+2 therefore H = T-2

Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4

Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7

Then from (i) Y=T+3 = 7+3 =10
Y=10

And from (iii) Y=2*H
If Y = 10, then H = 5

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3 years ago

Write 104/-120 as a rational number in its standard form

AVprozaik [17]

104/-120

=-13/15

Devishri1977 gave a better example of how she got to the answer

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