Answer:
At x=3 the value of the function is 4
Step-by-step explanation:
we have the points
(-2,3) and (3,4)
That means
(-2,3)
For x=-2
The value of the function y is equal to 3
(3,4)
For x=3
The value of the function y is equal to 4
therefore
At x=3 the value of the function is 4
Answer:
Step-by-step explanation:
Using the one sample proportion test:
z = (p-P) / √{P (1-P)/n}
Where p = 709/2640= 0.27, P = 0.29, n= 2640
Thus z = (0.27-0.29) / √{0.29 (1-0.29) / 2640}
z = (-0.02) / √{0.29(0.71) /2640}
z = (-0.02) / √0.00007799
z = (0.02) / 0.0088
z = 2.27
To be able to draw a conclusion, lets find the p value at the 0.1 level of significant: p value is 0.2327. The result is significant as the p value is greater than 0.1 thus we will fail to reject the null and conclude that there is not enough statistical evidence to prove that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 29%
Answer:
It costs $154.88 to build the fences.
Step-by-step explanation:
Perimeter of square = 
We are given that A garden is in the shape of a square with a perimeter of 56 feet.
So,
Side =
So, Side of square park = 14 feet
One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.
Outer length = 14+2+2=18 feet
So, Perimeter of outer fence = 
Cost of fencing 1 foot = $1.21
Cost of fencing 56 feet =
Cost of fencing 72 feet = 
Total cost = 67.76+87.12=154.88
Hence It costs $154.88 to build the fences.
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin
= 
⇒ x = 86 x Sin 
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
___________
To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44