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3 years ago

A personal identification number (PIN)

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Jejebbebdnsbdhwbejjeejejejrjfjfjfjfjfjfjfjfjfjfjfjfjjffjufcucuucjfufjfudjuejeuejeuejeuejejj

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A system of equations is shown below.

prisoha [69]

Given:

The system of equations is

$y=1.5x-3$

$y=1.5x+4$

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where, m is the slope and b is the y-intercept.

We have,

$y=1.5x-3$

$y=1.5x+4$

On comparing these two lines with slope intercept form, we get

$m_1=1.5,b_1=-3$

$m_2=1.5,b_2=4$

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

5 0

3 years ago

- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and the

eimsori [14]

Answer: option c

length = 9m

Perimeter = 26.4m

Step-by-step explanation:

A rectangle has a width of 4.2 m and an area of 37.8 m^2

We want yo determine the length of the rectangle and the perimeter of the rectangle.

The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.

The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes

2(length +width). So the perimeter of the given rectangle is

2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes

37.8= length × 4.2

Length = 37.8/4.2 = 9m

Therefore, the perimeter is

2(length + 4.2) = 2(9+4.2)

Perimeter = 2× 13.2 = 26.4m

4 0

3 years ago

How do you turn it into a percent

EastWind [94]

So what you do it you multiply that number by 100 because it is out of 100% so therefore it would be 140.6%. But I cannot tell you that that is correct without more information.

3 0

4 years ago

Rossi is planning a date with his girlfriend. He plans for them to watch a movie, go out to dinner, and then attend a sporting e

Inga [223]

Answer:

109410480 dates.

Step-by-step explanation:

We can find 555*888*222 different dates = 109410480 dates.

This is because we can find the total number of combinations between the different choices by multiplying the numbers of each different factor.

Hope this helped!

6 0

3 years ago

Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:

tresset_1 [31]

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

$Q1 = \frac{N +1}{4}th$

So, we have:

$Q1 = \frac{13 +1}{4}th$

$Q1 = \frac{14}{4}th$

$Q1 = 3.5th$

This is the average of the 3rd and the 4th element

$Q1 = \frac{1}{2} \times (84 + 91)$

$Q1 = 87.5$

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

$Q3 = 3 \times \frac{N +1}{4}th$

So, we have:

$Q3 = 3 \times \frac{13 +1}{4}th$

$Q3 = 3 \times 3.5th$

$Q3 = 10.5th$

This is the average of the 10th and the 11th element.

$Q_3 =\frac12 \times (98 + 101)$

$Q_3 =99.5$

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

$IQR = Q_3 -Q_1$

$IQR = 99.5 - 87.5$

$IQR = 12$

Also, we have:

$IQR(1.5) = 12 \times 1.5$

$IQR(1.5) = 18$

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

$Lower = Q_1 - IQR(1.5)$

$Lower = 87.5- 18$

$Lower = 69.5$

$Upper = Q_3 + IQR(1.5)$

$Upper = 99.5 + 18$

$Upper = 117.5$

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120