Answer:
(b) commutative property
Step-by-step explanation:
The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the <em>commutative property of addition</em>.
7.188 m
use the pythagorean therom
Answer:
5 feet.
Step-by-step explanation:
Please find the attachment.
Let x be the length of ramp.
We have been given that a ramp extends from the back of a truck bed to the ground. The back of the truck bed is 4 feet above the ground. The horizontal distance from the spot below the back of the truck bed to the bottom of the ramp is 3 feet.
We can see from our attachment that ramp and the height of truck bed form a right triangle, so the length of ramp will be equal to hypotenuse of right triangle with two legs of 4 feet and 3 feet.
We will use Pythagorean theorem to solve for the length of ramp.
Upon taking square root of both sides of our equation we will get,
Since length of ramp can not be negative, therefore, length of ramp will be 5 feet.
Answer:
C
Step-by-step explanation:
So you should be looking for the right function.
Remember that any number to the power of 0 is by definition 1.
3 * 1 = 3
In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.
So if you substitute x= 0 the result should be 3.
3 * 1 = 3
The two functions that comply with that, are the ones in answers B or C.
In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.
The only function that complies with that is in answer C.
Answer:
The Lower bound of the confidence interval to the nearest integer = 6
Step-by-step explanation:
<u>Calculate the Lower bound of the confidence interval</u>
<em>First step : Calculate the mean and standard deviation for each groups </em>
<u>Group 1 ( group with music )</u>
N = 9
Total ( ∑x ) = 788
mean = 788 / 9 = 87.55
Variance ( s^2 ) = 39.777
s = = 6.31
<u>Group 2 ( group without music ) </u>
N = 9
∑x = 670
mean = 670 / 9 = 74.44
variance ( s^2 ) = 72.27
s = = 8.50
<em>Next : Calculate the pooled variance , standard error and confidence interval</em>
Pooled variance ( Sp^2 ) : 896.43 / 16 = 56.03
standard error : S ( M1 - M2 ) = √((56.03 / 9) + (56.03 / 9)) = 3.53
confidence interval : μ1 - μ2 = ( M1 - M2 ) ± Ts ( M1 - M2 )
= 13.1111 ± (2.12 * 3.53 )
= ( 5.630 , 20.591 )
The Lower bound of the confidence interval to the nearest integer = 6