Answer:
60
Step-by-step explanation:
<C+<D = 180 since they form a straight line
5x+20 +3x = 180
8x+20 = 180
Subtract 20 from each side
8x+20-20 = 180-20
8x = 160
Divide by 8
8x/8 = 160/8
x = 20
We want to find angle D
<D = 3x= 3*20 = 60
Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
5/4, -3Solve by Factoring 4x² + 7x - 15 = 02, -5Solve by Factoring x² + 3x - 10 = 0(1 ± i√11) / 2Solve using Quadratic Formula x² - x + 3 = 0(7 ± √3) / 2Solve using Quadratic Formula 2x² - 14x + 23 = 00, 2/3Solve by Factoring 6x² - 4x = 025/4<span>Complete the square to find the value of c.
x² - 5x + c</span>16<span>Complete the square to find the value of c.
x² + 8x + c</span>25<span>Complete the square to find the value of c.
x² - 10x + c</span>49/4<span>Complete the square to find the value of c.
x² + 7x + c</span>81/4<span>Complete the square to find the value of c.
x² - 9x + c</span>9<span>Complete the square to find the value of c.
x² + 6x + c</span>121/4<span>Complete the square to find the value of c.
x² - 11x + c</span>81<span>Complete the square to find the value of c.
x² + 18x + c</span>36<span>Complete the square to find the value of c.
x² - 12x + c</span>1<span>Complete the square to find the value of c.
x² + 2x + c</span>¼<span>Complete the square to find the value of c.
x² - x + c</span>100<span>Complete the square to find the value of c.
x² + 20x + c</span>225<span>Complete the square to find the value of c.
x² - 30x + c</span>9/4<span>Complete the square to find the value of c.
x² + 3x + c</span>4<span>Complete the square to find the value of c.
x² - 4x + c</span>121<span>Complete the square to find the value of c.
x² + 22x + c</span>144<span>Complete the square to find the value of c.
x² + 24x + c</span>2500<span>Complete the square to find the value of c.
x² - 100x + c</span>9/64<span>Complete the square to find the value of c.
x² + ¾x + c</span>1/16<span>Complete the square to find the value of c.
x² - ½x + c</span>f(x) = (x + ½)² + ¾Write in vertex form: f(x) = x² + x + 1f(x) = (x - 1)² + 3Write in vertex form: f(x) = 4 + x² - 2x(-5, -28)What are the coordinates of the vertex of f(x) = (x + 5)² - 28?(9, -21)What are the coordinates of the vertex of f(x) = (x - 9)² - 21?f(x) = (x - 8)² - 56Which function in vertex form is equivalent to f(x) = x² + 8 - 16x?f(x) = (x - 3)² + 9Write in vertex form: f(x) = x² - 6x + 18(-3, -13)What are the coordinates of the vertex of the function f(x) = 6x - 4 + x²?f(x) = (x - 3)² - 8Write in vertex form: f(x) = x² - 6x + 1f(x) = (x + 3)² - 6Write in vertex form: f(x) = x² + 6x + 3f(x) = (x + 5)² - 28Write in vertex form: f(x) = x² + 10x - 3f(x) = (x - 9)² - 21Write in vertex form: f(x) = x² - 18x + 600, -4Solve by graphing.0, 4Solve by graphing.±1Solve by graphing.±2Solve by graphing.-3, 1Solve by graphing.no real solutionsSolve by graphing.0Solve by graphing.<span>2</span>
The true statement is: -1.9 > -6.0
a. The general equation for a circle centered at 
with radius 
is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for 
and 
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine :
So the circle's equation is
b. If the distance between point B and the center is less than 
, then B lies inside the circle. If the distance is greater than , it falls outside the circle. Otherwise, if the distance is exactly , then B lies on the circle.
The distance from B to the center is
, so 
, which means B falls outside the circle.
