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statuscvo [17]
2 years ago
8

Find the difference between C & D.

Mathematics
1 answer:
USPshnik [31]2 years ago
4 0

Answer:

  • \Large\boxed{\sf{5\sqrt{2}}}

Step-by-step explanation:

<u>Given:</u>

  • Use the distance formula.

\Longrightarrow: \sf{\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}

  • C: (6,5)
  • D: (-1,-4)

\Longrightarrow: \sf{\sqrt{\left(-1-6\right)^2+\left(-4-\left(-5\right)\right)^2}}

<u>Solutions:</u>

<u>Solve.</u>

\Longrightarrow: \boxed{\sf{5\sqrt{2}}}

  • <u>Therefore, the correct answer is 5√2.</u>

I hope this helps, let me know if you have any questions.

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What is the correlation coefficient for the data shown in the table? 0 1 4 5
SOVA2 [1]

we know that

The correlation coefficient is a number between -1 and +1 that represent the linear dependence of two variables or sets of data

Using the function CORREL in a excel tool, calculate the correlation coefficient (r)

see the attached table

the correlation coefficient for the data in the table is equal to 1

therefore

the answer is

r=1

4 0
3 years ago
Read 2 more answers
Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.
Snezhnost [94]

Answer: See explanation

Step-by-step explanation:

We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:

= 5 × 4 + 2 + 2

= 20 + 2 + 2

= 24.

Since we have gotten a final answer of 24, the equation is solved.

8 0
3 years ago
. A man bought a car for $60 320. After using it for 2 years he decides to trade in the car. The company estimated a depreciatio
Veronika [31]

Answer:

(a) 39,208

(b) 65%

Step-by-step explanation:

(a) The car loses 10% the first year and 15% the second year so that’s 35% lost in total after two years.

35% of 60,320 is 21,112

60,320 - 21,112 = 39,208

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8 0
3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

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 problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

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3 years ago
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