3 years ago

Input in standard form the equation of the given line.

1 answer:

5 0

Use equation of line which passes through the 2 points $A(x_1,y_1),B(x_2,y_2)$ .

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \\A(1,5),B(-2,3)
\\ y-5= \frac{3-5}{-2-1}(x-1)
\\y-5= \frac{2}{3} (x-1)
\\y-5=\frac{2}{3}x-\frac{2}{3}
\\3y-15=2x-2
\\-2x+3y=-2+15
\\-2x+3y=13$

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Consider a normal population with the mean of 40 and standard deviation of 10. A random sample of was selected: 39.2, 45.7, 27.4

Tems11 [23]

Answer:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 38.91$

And we can find the bias with this formula:

$Bias= \bar X -\mu$

And replacing we got:

$Bias = 38.91 -40 = -1.09$

Step-by-step explanation:

For this problem we know that the random variable of interest follows this distribution:

$X \sim N(\mu =40, \sigma= 10)$

And we have the following random sample given:

39.2, 45.7, 27.4, 25.9, 25.1, 46.3, 42.9, 49.0, 40.6, 47.0

And we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 38.91$

And we can find the bias with this formula:

$Bias= \bar X -\mu$

And replacing we got:

$Bias = 38.91 -40 = -1.09$

5 0

3 years ago

A loaded truck travels 14 km in 25 minutes. If the speed

serious [3.7K]

Answer:

168 km

Step-by-step explanation:

5h . 60 = 300 min.

14 : 25=0,56

0,56 . 300 = 168 km

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3 years ago

What is another name for 23 ten thousands

Darya [45]

Answer:23,000 or twenty-three thousand

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3 years ago

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The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

Soloha48 [4]

Each can of stain covers 50 square inches.

Hence, we need 7 cans of stain to cover at least 324 square inches.

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3 years ago

The pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.

Wewaii [24]

Answer:

a=3

Step-by-step explanation:

This should be very simple, just substitute xy and y for 5 and 7 respectively, so 5a-2*7=1, or 5a-14=1, or 5a=15, if we divide both sides by 5, we get a=3

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3 years ago

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