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3 years ago

101

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

D. 1/2

Step-by-step explanation:

1/2 = 0.5

1/2 it´s a representation of a decimal number.

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PLease Help! I will give you the brainiest and a lot of points!

gtnhenbr [62]

Answer:

this is the venn diagram I guess..

Step-by-step explanation:

find answer from this.. and check if it is correct

6 0

2 years ago

The City Transit Authority plans to hire 12 new bus drivers. From a group of 100 qualified applicants, of whom 65 are men and 35

QveST [7]

Answer:

1. About 1/5 chance that Mary is chosen

About 1/7 chance John is chosen

2. about 0.0286 chance mary is chosen

about 0.0154 chance john is chosen

same as answer 2

Step-by-step explanation:

1. If you do proportions, a female's chance comes to 1/5 and a male's chance comes to 1/7.

2. for females, do 1/35 and males do 1/65

same as answer 2

4 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

See attachment. What would be the perpendicular lines of this sense there are 4 right anglrs being formed? I thought perpendicul

chubhunter [2.5K]

Yeah not just one letter but two letters perpendicular to another two letters. Each 2 letters like AB is a straight line which is crossed by another 2 letters making it perpendicular.

4 0

3 years ago

A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.

DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

7 0

2 years ago