Answer:
Step-by-step explanation:
Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.
sample size : n= 1000
sample proportion:
Critical value for 95% confidence interval =
Confidence interval :
Hence, the 95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform:
You want to get 100 dollars profit but you get 150 dollars profit so you got 150% of your goal
Answer:
x = 23/5 and y = 7/20
Step-by-step explanation:
2x + 8y = 12 and 3x - 8y = 11 are two given equations
Now,
<u>Step </u><u>1</u><u>:</u>
2x + 8y = 12 ...(1)
3x - 8y = 11 ...(2)
<u>Step </u><u>2</u><u>:</u>
From equation (2) we get the value of x
i.e.,
3x - 8y = 11
3x = 8y + 11
<em><u>x = 8y + 11/3</u></em>
<u>Step </u><u>3</u><u>:</u>
Now,
Put the value of <u>x = 8y + 11/3</u><u> </u>in equation (1) we get,
i.e.,
2x + 8y = 12
2(8y + 11/3) + 8y = 12
16y + 22/3 + 8y = 12
16y + 22 + 8y(3)/3 = 12
16y + 22 + 24y/3 = 12
16y + 24y + 22 = 12 * 3
40y = 36 - 22
40y = 14
y = 14/40
<em><u>y = 7/20</u></em>
<u>Step </u><u>4</u><u>:</u>
Now,
Substitute the value of <u>y = 7/20</u><u> </u>in equation (2) we get,
i.e.,
3x - 8y = 11
3x - 8(7/20) = 11
3x - 56/20 = 11
3x - 14/5 = 11
3x = 11 + 14/5
3x = 11 * 5 + 14/5
3x = 55 + 14/5
3x = 69/5
x = 69/3 * 5
<em><u>x = 23/5</u></em>
Answer:
The cotangent of the angle will be b/a
Step-by-step explanation:
Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,
then the cotangent will be the reciprocal of the value of the tangent
= 1 / (a/b)
= 1 x (b/a)
= b/a
Answer:
Step-by-step explanation:
Given linear inequality:
Solving for
Subtracting both sides by 5.
Dividing both sides by 2.
∴
The graph of the inequality is shown below.
The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.