True. Using the equation y2-y1 / x2-x1
The new equation should look like this 5/1-3/1 and the equals to = 4/2 and that simplify is 2. So the answer 2 we just got is the slope. So we just add the letter x since that represents slope. Making the equation y=2x+1 true.
Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6</em>
<em>Given that the probability of labelled '1'</em>
<em> </em>
=0.16
<em> q = 1-p = 1- 0.16 = 0.84</em>
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ =
<em>The mean of the binomial distribution = 2</em>
<u><em>Step(ii):-</em></u>
The standard deviation of X
σ 
σ = 
σ = 
<em>The standard deviation of the binomial distribution</em>
<em> </em> σ = 
<u><em></em></u>
<u><em></em></u>
Answer:
Given the statement:
8,000 earn in four years compounded daily at 5%
To find the amount we use formula:

where P is the principal , A is the amount , n is number of times compounded per year and t is the time in year.
Here, Principal(P) = $8000, r = 5% and n = 365
Substitute these given values we get;



Simplify:

To find the Interest we use formula:


It is also given that:
8,000 earn in four years compounded annually at 5%.
Here, P = $8000, r = 5% , t =4 year and n = 1
Using the same formula to calculate the amount:


Simplify:

To find the Interest :


Then;

Therefore, $47.23 more would $8,000 earn in four years compounded daily at 5% than compounded annually at 5%
Answer:
coordinates of its image
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Step-by-step explanation:
Reflect in y-axis means mirror it's points in the y -axis.
This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.
(Remember, zero multiplied by -1 remains 0).
Given are these points A, B, and C.
A = (4, -1)
B = (3,-3)
C = (0, 2)
After mirroring in the y- axis you get:
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)