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2 years ago

Determine the distance between the two points using the Pythagorean theorem.

Mathematics

1 answer:

galina1969 [7]2 years ago

6 0

Answer:

d = 10

Step-by-step explanation:

Ok, so we know that the horizontal distance between the points is 6 and the vertical distance is 8. Using the Pythagorean theorem we know that 8^2+6^2=d^2 (d is the distance between points). When solving we get

8^2+6^2=d^2

64+36=d^2

100=d^2

d=10

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Which statements about residuals are true for the least-squares regression line? I. A random scattering of residuals indicates t

Daniel [21]

Answer:

II. The sum of the residuals is always 0.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

For any least-squares regression line, the sum of the residuals is always zero.

Basically, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

Hence, the statement about residuals which is true for the least-squares regression line is that the sum of the residuals is always zero (0).

7 0

3 years ago

(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a

vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

$SD = \sqrt{(N)(P)(1 - P)}$

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

$SD = \sqrt{(100)(0.5)(1-0.5)}$

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0

3 years ago

Please help me with this also if you may, Tell me how you got what you got. Worth a lot of points :)

lesantik [10]

Answer

Step-by-step explanation:

i need the form of opperations what are you doing? standard form algerbraic roots with mixed fractions?

4 0

3 years ago

What is the y-intercept, b, of the additive relationship represented by this table?

mina [271]

Answer:

b = 3

Step-by-step explanation:

Use the table to find the slope and y-intercept

Find the slope:

m = (6 - 4)/(3 - 1) = 2/2 = 1

Find b using the pair (1, 4):

4 = 1*1 + b
b = 4 - 1
b = 3

The line is:

y = x + 3

The y-intercept is 3

8 0

3 years ago

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never [62]

Answer:

It has 1 term and a degree of 4.

Step-by-step explanation:

3j⁴k-2jk³+jk³-2j⁴k+jk³

= 3j⁴k-2j⁴k-2jk³+jk³+jk³

= j⁴k

So, in this expression, there is 1 term, and it has a degree of 4.

8 0

3 years ago