Answer:
C
Step-by-step explanation:
a typical line equation is the slope-intercept form
y = ax + b
"a" is the slope (always the factor of x) expressed as ratio of "y coordinate difference" / "x coordinate difference".
b is the y-intercept (the y value when x = 0).
going from (-2, 5) to (0, 3) we see
x changes by +2 (from -2 to 0).
y changes by -2 (from 5 to 3).
so the slope is -2/+2 = -1
using one of the points (0, 3) to solve for the missing b :
3 = -1×0 + b
b = 3
so, the equation is
y = -x + 3
<u>Give</u><u>n</u><u>:</u>
- A ladder is leant against a wall of height 5m.
- The foot of ladder is 12m away from the wall.
<u>To</u><u> </u><u>Find</u><u>:</u>
<u>Conc</u><u>ept</u><u> Used</u><u>:</u>
- We will use Pythagoras Theorem.
<u>An</u><u>swer</u><u>:</u>
Here given
- Vertical height = 5m.
- Base = 12m.
Here the length of ladder is equal to hypotenuse of ∆ so formed.
Now in a right angled ∆ ,
=> (hypotenuse)² = (pependicular)²+(base)².
=> h ² = (12m)²+(5m)²
=> h² = 144m² + 25m².
=> h² = 169m².
=> h = √169m².
=> h = 13m.
<u>He</u><u>nce</u><u> the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>1</u><u>3</u><u>m</u><u>.</u>
The likelihood of exactly 90 girls in 200 births is 0.0208. Since
this probability is lower than 0.05, this is an unlikely event. To see whether 90
girls is an unusually low number of girls, we need to think about the
probability of having 90 or fewer girls. Since P(90 or fewer girls) = 0.089>0.05,
this is not an unusually low number of girls.
Answer:
75.96
Step-by-step explanation:
Using proportions, it is found that the population density of Morrison is of 10,000 people per square mile.
<h3>Proportions and density:</h3>
For Wellington, the density is of 12,000 people per square mile.
- In Morrison, it is dilation with scale factor of 1.2. Dilation means that the density is smaller, and the factor of 1.2 means that it's population density is that of Wellington divided by 1.2.
Hence:
The population density of Morrison is of 10,000 people per square mile.
To learn more about proportions, you can take a look at brainly.com/question/24372153