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finlep [7]
2 years ago
10

If a line crosses the y-axis at (0, 1) and has a slope of 45, what is the equation of the line?

Mathematics
2 answers:
tamaranim1 [39]2 years ago
6 0
The general equation of a line is expressed as:

y = mx + b 

where m is the slope and b is the y-intercept.

We are given the slope of the line and its y-intercept (m = 4/5, b = 1).

y = (4/5)x + 1 

5(y - (4/5)x = 1)

5y - 4x = 5

The answer should be option D.
Contact [7]2 years ago
4 0
Equation is y - 1 = 4/5(x - 0) => 5(y - 1) = 4x => 5y - 5 = 4x => 5y - 4x = 5
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Answer:

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Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
Find the equation in slope-intercept form (10,4) that is perpendicular to y=5x-3
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Uche pumps gasoline at a rate of 18\,\dfrac{\text{L}}{\text{min}}18 min L ​ 18, start fraction, start text, L, end text, divided
Fiesta28 [93]

Answer:

Uche's pumping rate is <u>300 mL/s</u>.

Step-by-step explanation:

Given:

Uche pumps gasoline at a rate of 18 L/min.

Now, to find Uche's pumping rate in mL/s.

The rate at which Uche pumps gasoline = 18 L/min.

So, to get the pumping rate in mL/s we use convert L/min to mL/s by using conversion factor:

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18L/min = 300 mL/s.

Therefore, Uche's pumping rate is 300 mL/s.

8 0
2 years ago
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