Answer:
Use trig
Step-by-step explanation:
sin(55) = x/21
x = 21sin(55)
use calculator in degree mode
cos(55) = y/21
21cos(55) = y
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate.
Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.
Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.
Tom is already in the fraction we like, so just keep this as 21/100.
Now, add 28/100, 30/100 and 21/100 to get 79/100.
Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100?
Another way of going about this is 100/100-79/100. The answer is 21/100
The probability of Liz winning is 21/100.
Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :)
Answer:
Step-by-step explanation:
(a) the co-ordinates of the point where the line crosses the y-axis,
y intercept occurs when x = 0
y = 5 - 2(0)
y = 5
(0, 5)
(b) the gradient of the line,
the general line formula is y = mx + b, where m is the slope and b is the y intercept.
y = 5 - 2x
y = -2x + 5
m = -2
(c) the equation of a line parallel to L.
Parallel lines have the same slope, but different y intercepts.
The simplest parallel line formula is
y = -2x + 0
y = -2x
30.
the multiplication of a decimal less than 1 and a whole number is always smaller than the whole number, because we are taking a fraction of the whole number.
31.
the product of a decimal greater than 1 and a whole number is always greater than the whole number because we are scaling the whole number.