Answer:
Mode = 19.
Median = 23.
Step-by-step explanation:
Arrange in ascending order:
8 9 12 15 17 18 19 19 20 22 24 25 26 27 28 31 34 36 40 43
The modal amount is the one which occurs most , which is 19.
The median is the middle value of the 20 amounts.
As there is an even number of amounts the median is the mean of the 2 middle numbers:
Median = (22 + 24) / 2
= 23.
Equation showing relationships between things you are conparing. An equals sign represents the two expeessions are equal
So, we divide 1200 by 25 to find out how many words per minute he types. 1200 / 25 = 48 So, he types 48 words per minute. Now, we multiply this by 45 to find out how many words he can type in 45 minutes. 48 x 45 = 2,160 Joseph can type 2,160 words in 45 minutes!
Answer:
- Slope:

- x - intercept:
. - y intercept:
.
Step-by-step explanation:
<u>Simplify:</u>
- Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
- 10*x+2*y-(20)=0.
<u>Step 1:</u>
- Pull out like factors:
- 10x + 2y - 20 = 2 * (5x + y - 10)
<u>Step 2:</u>
- Equations which are never true:
- Solve:
- 2 = 0
- This can't be solved.
- A non-zero constant never equals 0.
- Equation of a straight line:
- Solve: 5x+y-10 = 0
- "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
- In this formula:
- y tells us how far up the line goes
- x tells us how far along
- m is the Slope or Gradient i.e. how steep the line is
- b is the Y-intercept i.e. where the line crosses the Y axis
- The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+y-10 = 0 and calculate its properties
- Calculate the y-intercept:
- Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
- y-intercept = 10/1 = 10.00000
- Calculate the x-intercept:
- Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
- Slope = -10.000/2.000 = -5.000
<u>Answers:</u>
- Slope = -10.000/2.000 = -5.000
- x-intercept = 10/5 = 2
- y-intercept = 10/1 = 10.00000
Hello,
1)
sin x=3/5==>x=126.869897...° (since in quadrant II)
2)==>cos x<0
cos x=-√(1-sin ² x)=-√(1-9/25)=-4/5
tan x=(3/5)/(-4/5)=-3/4
cotg x=-4/3 =1/tan x
sec x=1/cos x=-5/4
cosec x=1/sin x=5/3