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3 years ago

ANSWER QUICKLY PLEASE AND THANKYOU!

1 answer:

3 0

1. Since we have a slope, and only one point we can use point slope form. Point slope form is y - y1 = m(x-x1). We will replace the y1 and x1 with our coordinates. Additionally, we will replace m with -2. y - 4 = -2(x-3). If you wish to solve this, we need to first distribute. y - 4 = -2x+ 6. Then, we can add 4 which will give us 10. y = -2x + 10.
2. We just need to find the slope here. To find the slope, you can use the formula y2 - y1 / x2 - x1. 3 - (-1) / 9 - 1 gives us 4/8 or 1/2. Plot the points you’re given, and then use the slope to plot more points so you can create your line.

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the sum of the squares of the length of all three sides of a right triangle is 200. what is the length of the hypotenuse

astra-53 [7]

<span>You can start with the Pythagorean theorem:
1) and ...
2) "The sum of the squares of the lengths of the three sides of a right triangle is 300 sq.cm."</span>

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3 years ago

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7. These values represent the expected number of paintings a person will produce over the next 10 days. 0, 0, 0, 1, 1, 1, 2, 2,

Natasha_Volkova [10]

The mean of a dataset is the average of the dataset.

The mean is 1.5
The standard deviation is 1.58
The median remains unchanged, the mean increases, and the standard deviation decreases when <em>5 is increased to a larger value</em>

The given parameters are:

$\mathbf{x = 0, 0, 0, 1, 1, 1, 2, 2, 3, 5}$

<u>(a) Mean and Standard deviation</u>

The mean of the dataset is calculated using:

$\mathbf{\bar x = \frac{\sum x}{n}}$

So, we have:

$\mathbf{\bar x = \frac{0+ 0+ 0+ 1+ 1+ 1+ 2+ 2+ 3+ 5}{10}}$

$\mathbf{\bar x = \frac{15}{10}}$

$\mathbf{\bar x = 1.5}$

Hence, the mean is 1.5

The standard deviation is calculated using:

$\mathbf{\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}}}$

So, we have:

$\mathbf{\sigma_x = \sqrt{\frac{(0 - 1.5)^2 + (0- 1.5)^2 + (0- 1.5)^2 + (1- 1.5)^2 + (1- 1.5)^2 + (1- 1.5)^2 + (2- 1.5)^2 + (2- 1.5)^2 + (3- 1.5)^2 + (5- 1.5)^2}{10 - 1}}}$

$\mathbf{\sigma_x = \sqrt{\frac{22.5}{9}}}$

$\mathbf{\sigma_x = \sqrt{2.5}}$

$\mathbf{\sigma_x = 1.58}$

Hence, the standard deviation is 1.58

<u />

<u>(b) When 5 is increased to a larger value</u>

When 5 is increased:

The median remains unchanged
The mean increases
The standard deviation decreases

Read more about median, mean, and standard deviation at:

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3 years ago

Alicia records the total number of points scored in two games by 10 players on her basketball team Which box plot represents the

exis [7]

Complete question :

Alicia records the total number of points scored in two games by 10 players on her basketball team.

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Which box plot represents the data

Answer:

The most appropriate boxplot is the third option.

Step-by-step explanation:

Given the data:

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Ordering the data:

Ordered data : 4,7,8,10,11,13,15,15,22,28

Minimum value = 4

Maximum = 28

Using a boxplot maker :

Median = 12

First quartile: 8

Third quartile: 15

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3 years ago

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ture or false: when you translate a figure in the coordinate plane, the number of units you translated is added to the y-coordin

Elina [12.6K]

Answer:

False

Step-by-step explanation:

Because a translation can increase or decrease both the x and the y.

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3 years ago

When using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9

Norma-Jean [14]

The only option that meets the root theorem is option b.

<h3>which of the following is a possible root of the polynomial function below?</h3>

The polynomial function is:

$f(x) = 2x^2 - 4x + 9$

The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.

In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3

Where 3 is a rational number:

3 = 3/1

The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).

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2 years ago