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2 years ago

. Express the ratios in its simplest form (a) 15:12 (b) 42:1

Mathematics

1 answer:

telo118 [61]2 years ago

7 0

Answer:

See answers below

Step-by-step explanation:

Given the following ratios. We are to express them in their simplest forms

15:12

= 15/12

= (3*5)/(3*4)

= 3/3 * 5/4

= 5/4

b) 42:1

= 42/1

= 42

Given that 2:x :: 4:6

2/x = 4/6

Cross multiply

4x = 2*6

4x = 12

x = 12/4

x = 3

Hence the value of x is 3

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Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if

kakasveta [241]

Answer:

29.411 % of the result is true.

Step-by-step explanation:

This test's sensitivity is low.

Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.

But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.

And 85 % accuracy would give 95* 0.85= 80.75 which is very high.

And out of the 80.75 * 15%= 12.11 only 12 are positive .

The results give us 5 out of 17 true possibilities

or 5/17 *100= 29.411 % of the result is true.

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2 years ago

What is the x intercepts of the mid point f(x)=(x-2)(x-4)

BigorU [14]

F(x)= -2x+6 i think so

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3 years ago

Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if s

lilavasa [31]

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

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2 years ago

Which of the following statements does not describe a characteristic of the line of best fit for a scatter plot?

stira [4]

A statement which does not describe a characteristic of the line of best fit for a scatter plot is that: A. the line of best fit should be the average of all the data points.

<h3>What is a scatter plot?</h3>

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

<h3>The characteristics of a line of best fit.</h3>

The statements which describe a characteristic of the line of best fit for a scatter plot include the following:

The line should be as close to the points as possible.

The number of points above the line should be equal to the number of points below the line.

The distance between the points above the line and the line should be relatively equal to the distance between the points below the line and the line.

Read more on scatterplot here: brainly.com/question/6592115

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8 months ago

If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

Substituting the point (-2,1) in the rule, we get;

$(-2,1)\rightarrow (2,1)$

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

$(2,1)\rightarrow (2,-1)$

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

Substituting the point (2,-1) in the rule, we get;

$(2,-1)\rightarrow (-2,1)$

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

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3 years ago