Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.
Let's start with angle b,
Let's move on to angle e,
Let's move on to angle d,
Moving to angle c, we have;
And, angle a;
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Answer:B. 2x^2 + 4x - 1 - 9/4x + 1
Step-by-step explanation:
f(x) = 8x^3 + 18x^2 − 10
g(x) = 4x + 1
We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.
The correct answer is
2x^2 + 4x - 1 - 9/4x + 1
A. 38
Let X = seventh graders
6th graders are twice the number of 7th graders; therefore, 6th graders will be 2X.
The total number of students is 57.
2X + X = 57
3X = 57
X = 57 / 3
X = 19
IF X represents the 7th graders; there are 19 seventh graders present.
Since 6th graders are represented by 2X; Then, 2 * 19 = 38 is the number of 6th graders present.
Add both numbers to check: 19 + 38 = 57.
