x + y = 52
x = y - 18
Adding,
2x + y = 52 + y - 18
2x = 34
x = 17
y = x + 18 = 35
Check: x+y = 17+35 = 52, good
Answer: 17 and 35
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in
Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.
Answer:
In exercises 3 and 4,write an equation of the line that passes through the given point and is parallel to the given line. 3. (1,3); y=2x-5 4. (-2,1); y= -4x+3 *In exercises 5 and 6, determine which of the lines,if any, are parallel or perpendicular. Explain! 5. line a passes through (-2,3) and (1,-1). Line b passes through (-3,1) and (1,4). Line c passes through (0,2) and (3,-2). 6. Line a: y= -4x +7 Line b: x= 4y+2 Line c: -4y+x=3 *In exercises 7 and 8, write an equation of the line that passes through the given point and is perpendicular to the given line. 7. (2,-3); y= 1/3x -5 8.(6,1); y= -3/5x-5 * In exercises 11-13, determine whether the statement is sometimes,always, or never true. Explain your reasoning! 11. A line with a positive slope and a line with a negative slope are parallel. 12. A vertical line is perpendicular to the x-axis. 13. two lines with the same x-intercept are perpendicular.
Step-by-step explanation:
Answer:
In general, we already know how to solve problems in a right triangle using the concept of trigonometry. Meanwhile, as we also know that the type of triangle is not only a right triangle, but there are isosceles, equilateral, or even random triangles. The question is how to solve the problems that exist in these triangles It is known that there is an arbitrary triangle with sides a, b, and c. The angle formed in front of side a is called angle α, the angle formed in front of side b is called angle β, and the angle formed in front of side c is called angle γ = 5
Step-by-step explanation:
x" + 5x + 6 = 0
(x + 2)(x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
#semogamembantu
