Answer: x = -2/5
Step-by-step explanation:
25x + 10 = -2 -5x
⇔ 30x = -12
⇔ x = -2/5
Answer:
The slope is -1 and the y-intercept is 2.
Step-by-step explanation:
Since it is -x, the only way is if -1 and x were multiplied together. The Slope-Intercept Form is y = mx + b
Answer:
26 sq in.
Step-by-step explanation:
Let x = measure of one acute angle
3x - 2 = measure of other acute angle
Since the triangle is a right triangle, the sum of the measures of the acute angles is 90
x + 3x - 2 = 90
4x - 2 = 90
4x = 92
x = 23
90 - 23 = 67
The acute angles are 23° and 67°
Now, let a = length of side opposite the 23° angle
sin 23 = a/12
a = 12 sin 23
Let b = length of the side opposite the 67° angle
sin 67 = b/12
b = 12 sin 67
Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)
= 25.90
26 sq in to the nearest inch
Wow! That is quite the problem.
Answer:
116 students
Step-by-step explanation:
The standard deviation for a proportion is:
For any measured sample proportion x, the z score is given by:
The population proportion is 0.53
At the 14th percentile, the corresponding z-score is z =-1.08.
Since 0.48 is at the 14th percentile, the standard deviation is:
Therefore, the sample size 'n' is given by:
The sample size must have been of 116 students.
C yes because the ratios are equivalent between each pair of values
