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3 years ago

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Solution:

Draw the parallelogram on the coordinate plane.

Graph #1 Attached~

We can tell that the intersection point is (-8/5,27/10).

Hoped this helped!

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TILAPIA FISH!!!!!!!!!

frez [133]

Answer:

yes.

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3 years ago

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.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to b

Troyanec [42]

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

$M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1$

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

$s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657$

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.355

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

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2 years ago

Why does the equation y=3x+5 Not represent a proportional relationship?

Afina-wow [57]

Answer:

see the explanation

Step-by-step explanation:

we now that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$y=3x+5$

This is the equation of the line in slope intercept form

where

$m=3\\b=5$

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

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3 years ago

Look at the following numbers: −2, −1, 0, 1 Which pair of numbers has a sum of zero?

Ghella [55]

Answer:

-1, 1

Negative one and positive one total up with a sum of 0.

-2 + 0 is -2.

0 and 1 is 1.

0 and -1 is -1.

So, it has to be -1 and 1.

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3 years ago

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What are the properties of parallelogram

KIM [24]

Answer:

The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.

Step-by-step explanation:

The parallelogram has the following properties:

Opposite sides are parallel by definition.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplementary.

The diagonals bisect each other.

If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties.

If you draw a picture to help you

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3 years ago