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3 years ago

Find the distance between the two points (2,5) and (6,-1)

Mathematics

2 answers:

Reptile [31]3 years ago

7 0

Answer:

= $\sqrt{52}$ units

Step-by-step explanation:

x₁ = 2 ; y₁ = 5

x₂ = 6 ; y₂ = -1

D = $\sqrt{(x₂ - x₁)² + (y₂ - y₁)²}$

= $\sqrt{(6 - 2)² + (-1 -5)²}$

= $\sqrt{4² + (-6)²}$

= $\sqrt{16 + 36}$

D = $\sqrt{52}$ units

Ymorist [56]3 years ago

6 0

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(6-2)^2+(-1-5)^2}\implies d=\sqrt{4^2+(-6)^2} \\\\\\ d=\sqrt{16+36}\implies d=\sqrt{52}\implies d=2\sqrt{13}$

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During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light

expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

Solution:

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all

= 2 x 2 x 5 x 3

= 4 x 15 = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

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3 years ago

Let g(x) = sqrt2x/ln(x) find g'(x)

nikklg [1K]

Answer:

Step-by-step explanation:

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2 years ago

11. David's net worth is $45,765.78 and his assets have a value of

MArishka [77]

Answer:

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2 years ago

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According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

Let $\hat p$ = sample proportion of Americans who can order a meal in a foreign language

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.06) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } }$ ) = P(Z > 0.85) = 1 - P(Z $\leq$ 0.85)

= 1 - 0.80234 = 0.19766

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0

3 years ago

Is this the correct answer?

Llana [10]

Answer: Choice A) An economic theory that is shared by the discipline of Psychology

Through the research I've found so far, the articles mention that economic choices have a psychological link. This is because economics is basically the study of human psychology (more or less) in terms of how to allocate resources and how best to use them. The law of diminishing marginal utility is basically the idea where the concept "more is always better" is simply not true. An example would be that you are at a restaurant and there's an endless buffet. The food isn't infinite and neither is the capacity of your stomach. After a certain point, you'll find that eating another burger isn't as satisfying as eating the first few burgers. You can think of it as a graph where the curve may start with a sharp increase, but eventually it levels off.

Side note: The term "affective habituation" may be used in psychology textbooks as something very similar to the law of diminishing marginal utility.

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3 years ago