Answer:
<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>
Step-by-step explanation:
The initial function is
The transformed function is
Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.
Therefore, the right answer is the first choice.
Answer:
A square unit is a small area of a square used to find a total.
Step-by-step explanation:
Answer:
x = 50°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360°
360 - 40 - 80 - 110 = 130
130 is the measure of the quad that is adjacent to the angle of x° and is supplementary to that angle also.
Therefore, x = 180 - 130 = 50
Answer:
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 1.11 pg/ml
Standard deviation r = 15.18 pg/ml
Number of samples n = 26
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
1.11+/-1.96(15.18/√26)
1.11+/-1.96(2.977042931397)
1.11+/-5.835004145539
1.11+/-5.835
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
Answer:
$135
Step-by-step explanation:
We can answer this by multiplying $150 by (1.00 - 0.10), or by 0.90:
0.90($150) = $135.
Note that 1.00($150) = $150 (full price)
and that 0.10($150) = $15 (discount)
and that (0.90)($150 = $135 (the fastest way to calculate the final (sale) price.
