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3 years ago

Where does the graph of the linear equation, y = 1/2 x - 3, cross the y-axis?

Mathematics

2 answers:

makvit [3.9K]3 years ago

4 0

negative 2 is where it crosses

grin007 [14]3 years ago

4 0

You solve the equation by choosing x=0, as x will always be zero, when a line crosses the y-axis
y = 0,5x-3 = 0,5*0-3= -3

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Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr

fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0

2 years ago

One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w

gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

1 job

------------------------------- = time required for 2 pumps working together

1 job 1 job

---------- + -------------

4 days 10 days

This comes out to:

1 job

------------------------------------------- = time required

10 job-days 4 job-days

------------------ + -----------------

40 days 40 days

or:

1 job

-------------------- = (40/14) days, or 20/7 days (just less than 3 days)

14 job·days

-----------------

40 days

7 0

3 years ago

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

fredd [130]

A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:

(x,y)→(y,-x).

Then:

D(−2,4)→D'(4,2)
E(4,7)→E'(7,-4)
F(10,3)→F'(3,-10)
G(8,0)→G'(0,-8)

Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).

8 0

2 years ago

Jan estimates that approximately 575 drops fill a 100 milliliter bottle estimate how much water her leaky faucet wastes in a yea

umka21 [38]

2742 liters approiximately

8 0

2 years ago

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I need help please?!!!

mina [271]

Answer:D

Step-by-step explanation:

There are 3 even numbers (2,4,6) and 3 odd numbers(1,3,5) on a six-sided die.

Therefore,the probability to get an even or odd number is the same (50%).

4 0

2 years ago

Read 2 more answers