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3 years ago

12

List the perfect squares between 100 and 500 that are even numbers

1 answer:

creativ13 [48]3 years ago

4 0

<span> Find the total number of perfect squares in numbers between 100 to 500
Let’s start with 100
=> 10 x 10 = 100
=> 11 x 11 = 121
=> 12 x 12 = 144
=> 13 x 13 = 169
=> 14 x 14 = 196
=> 15 x 15 = 225
=> 16 x 16 = 256
=> 17 x 17 = 289
=> 18 x 18 = 324
=> 19 x 19 = 361
=> 20 x 20 = 400
=> 21 x 21 = 441
=> 22 x 22 = 484</span> <span>
</span> Thus, the total perfect square found in numbers between 100 to 500 is 13.

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Step-by-step explanation:

Given : Sample size : n= 9

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Using t-distribution table , we have

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90% confidence interval for the mean value will be :

$10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}$

$10.2\pm (1.8595)\dfrac{1.5}{3}$

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Answer:

We conclude that the equation of the line is:

$y = 5x + 1$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the data table

x -3 -5 -7 -9 -11

y -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)

(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)$

$m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}$

$m=5$

Thus, the slope of the line is: m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b

$y = mx+b$

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