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Valentin [98]
3 years ago
13

What is the distance between 5,4 and -1,1

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

3\sqrt{5}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \sqrt{(-1-5)^2+(1-4)^2}

   = \sqrt{(-6)^2+(-3)^2}

   = \sqrt{36+9}

   = \sqrt{45}

   = 3\sqrt{5} ← exact value

   ≈ 6.71 ( to 2 dec. places )

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Green yellow purple or grey pins in a bag.
DiKsa [7]

Answer:

yellow

Step-by-step explanation:

I choose yellow because it's a beautiful spring color

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3 years ago
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Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
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For which pairs of functions is (f * g) (x)?
Ronch [10]

Answer:

The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x

Step-by-step explanation:

For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.

Let's start with the first answer choice.

(f * g)(x)

<em>f(x)=x²</em>

<em>g(x)=1/x</em>

Now, we multiply these terms together.

x² * 1/x = x²/x

Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.

x²/x = x

So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.

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3 years ago
There are 100 Skittles. 94 are blue and 6 are red. If you take 5 Skittles, what’s the chance one will be red? What’s the chance
Art [367]

Answer:

6/100 +94/100

3/50 +47/50

3+47/50

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3 years ago
What is the number of possible combinations of 14 objects taken 3 at a time?
maria [59]

Answer:

364.

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= 364.

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3 years ago
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