Given that μ=0, and σ=1, P(z>c)=0.1093
thus
P(z<c)=1-0.1093=0.8907
hence the value of c will be:
z-score=(c-μ)/σ
thus
1.23=(c-0)/1
c=1.23
Answer
<span>A. Rectangle
</span><span>D. Parallelogram
Explanation
The four choices are all quadrilaterals with with at least a pair of parallel sides.
A rectangle, a square, and a rhombus have opposite sides been parallel.
For a square and a rhombus, the diagonals are perpendicular.
The diagonals of a rectangle and a parallelograms are not perpendicular.
</span><span>
</span>
Answer:
Let x represent the number of minutes.
Lets y represents the number of beats.
Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).
Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)
Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values
Answer: PART A :
= 
PART B : 5.9 FEET
Step-by-step explanation:
Length of the first sign = 4.4 feet
height of the first sign = 3 feet
Length of the second sign = x feet
height of the second sign = 4 feet
If two shapes are similar , then the ratio of their sides are equal,
That is ;
= 
PART A
= 
PART B
= 
cross multiplying , we have
3x = 4.4 x 4
3x = 17.6
Divide through by 3
x = 17.6/3
x = 5.86666666666667
x≈ 5.9 feet
Therefore , the length of the new sign is 5.9 feet
Answer:
a. 5 + 2i, 13 + 2i, 29 + 2i
Step-by-step explanation:
We'll use the formula f(z) = 2z + (3 - 2i) for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.
So, we start with z0 = 1 + 2i and we plug that into the base equation:
z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i
z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i
z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i + 3 - 2i = 29 + 2i
z3 = 29 + 2i