Answer: f(x) = - 7x/17 - 29/17
Step-by-step explanation:
The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c
Where
c represents the y intercept.
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The line passes through (8, - 5) and (- 9, 2),
y2 = 2
y1 = - 5
x2 = - 9
x1 = 8
Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =
- 7/17
To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into
y = mx + c. It becomes
- 5 = - 7/17 × 8 + c
- 5 = - 56/17 + c
c = - 5 + 56/17
c = - 29/17
The equation becomes
f(x) = - 7x/17 - 29/17
Answer:
Step-by-step explanation:
We have been given that the rectangle has an area of 
square meters and a length of 
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.
Upon substituting our given values in above formula we will get,
Using exponent rule for quotient 
we will get,
Therefore, width of our given rectangle will be 9x meters.
Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
Answer:
7.5 meters
Step-by-step explanation:
As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.
In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is
51 m = 2(18m + side opposite)
15 m = 2 × (side opposite)
7.5 m = side opposite
_____
<em>Comment on side lengths</em>
In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.
