Answer:
See below
Step-by-step explanation:
(7x +3) is the same as angle opposite B
So 7x+3 will equal 103 degrees.
To figure out angle ACB we just take a straight line (180 degrees) and minue 103, which gives us 77 degrees
ACB = 77 degrees
Now we will just isolate x so we can figure out it's value for angle CAB
7x = 103 - 3
7x = 100
x = 100/7
x = roughly 14.3
CAB = 3x - 10 = (14.3 * 3) - 10
= 43 - 10
CAB = 33 degrees
Answer:
y=18
Explanation:
input x=5
rule ——-> 4x-2
=4x5-2
=20-2
=18 {scrutinize}
output y=18
Answer:
Kindly check explanation
Step-by-step explanation:
The power of a test simply gives the probability of Rejecting the Null hypothesis, H0 in a statistical analysis given that the the alternative hypothesis, H1 for the study is true. Hence, the power of a test can be referred to as the probability of a true positive outcome in an experiment.
Using this definition, a power of 90% simply means that ; there is a 90% probability that the a Pvalue less Than the α - value of an experiment is obtained if there is truly a significant difference. Hence, a 90% chance of Rejecting the Null hypothesis if truly the alternative hypothesis is true.
Reflection- It flips the image over a line to create a mirror image
Rotation - It spins a figure around a point
Translation- It slides the figure in a different direction
Dilation- It enlarges or reduces a figure
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a
With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2
So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984
This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2