Answer:
x is approximately 25.83
Step-by-step explanation:
x + 25 + 5x = 180
6x + 25 = 180
6x = 155
x=25.83
Student 1 was correct. When compass is placed at M and width is adjusted to L, that distance between M and L corresponds to the angle ∠LQM. Therefore the distance between L and M should be equal to the distance between N and point T which is to be constructed. IF the distance LM = NT then the angles ∠LQM and ∠NPT are equal . these are corresponding angles which means that PT and QR are parallel.
PT straight segment is extended. Since opposite sides in a rhombus should be equal, the compass width is adjusted to QR and compass is placed on P to mark the distance of where point S will line on the extended PT line. This is so that PS = QR.
hence, a line PS is drawn that is parallel to QR and equal in length
Answer:
We can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.
Step-by-step explanation:
Previous concepts
A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation
A parameter is "any numerical quantity that characterizes a given population or some aspect of it".
Solution to the problem
For this case the analyst knows that from previous records that the mean for all the customers (that represent the population of interest) is 
He have a random sample of n =500 customers from the previous month and he knows that 1732 represent the sample mean for the selected customers calculated from the following formula:

So on this case we can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.
Answer:
L = 14/
<u>OR</u> 9.899
Step-by-step explanation:
cos(angle) = adjacent/ hypotenuse
hypotenuse = length of ladder
adjacent = 7 feet
length of ladder = L
1/L = cos(45)/7
L = 7/cos(45)
<u><em>MAKE SURE CALCULATOR IS IN DEGREE MODE</em></u>
L = 7/(
/2)
L = 14/
Answer:
∑ₙ₌₁⁸ (3n − 9)
Step-by-step explanation:
This is an arithmetic series where the first term is -6 and the common difference is 3. The nth term can be written as:
aₙ = a₁ + d (n − 1)
aₙ = -6 + 3 (n − 1)
There are 8 terms in this series, so the sum is:
∑ₙ₌₁⁸ [-6 + 3 (n − 1)]
Simplified:
∑ₙ₌₁⁸ (3n − 9)