Answer:
Component form of u is (-18,13)
The magnitude of u is 22.2
Step-by-step explanation:
The component form of a vector is an ordered pair that describe the change is x and y values
This is mathematically expressed as (Δx,Δy) where Δx=x₂-x₁ and Δy=y₂-y₁
Given ;
Initial points of the vector as (14,-6)
Terminal point of the vector as (-4,7)
Here x₁=14,x₂=-4, y₁=-6 ,y₂=7
The component form of the vector u is (-4-14,7--6) =(-18,13)
Finding Magnitude of the vector
║u=√(x₂-x₁)²+(y₂-y₁)²
║u=√-18²+13²
║u=√324+169
║u=√493
║u=22.2
Witch one do you need help with
Answer: - 0.71
Step-by-step explanation:
Let p = population proportion
po = sample proportion.
From the question,
p = 38% = 38/100 = 0.38
po = 32% = 32/100 = 0.32
Sample size (n) = 340.
Since our sample size is greater than 30 ( n= 340) we will be making use of a z test for our test statistics.
The population standard deviation of the data set is given below as
σ = √p(1 - p).
σ = √0.38 (1 - 0.38)
σ = √0.38 × 0.62
σ =√0.2356
σ = 0.49.
Z score = po - p/ (σ/√n)
Z score = 0.32 - 0.38/ (0.49/√340)
Z score = - 0.06 / 0.0266
Z score = - 0.71
Answer:
The correct option is C).
Figure show the line with slope of -1/2 and a y-intercept of 3
Step-by-step explanation:
The equation of line is given by y=mx+c.
Where m is slope and c is y-intercept.
Given that line has slope
m=
and c=3
Thus equation of line will be
y=mx+c.
y=
To plot the line we need at least two points
Take x=0
y=
y=
y=3
The required point is A(0,4)
Take x=2
y=
y=2
The required point is B(2,2)
Using this points to graph the given equation of line
Figure show the line with a slope of -1/2 and a y-intercept of 3
The correct option is C).
3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9
Hope this helped!
