Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?
Answer: The number 415.9 is a parameter because it represents the population characteristic.
<u>Explanation:</u>
Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.
Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.
Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.
Answer:

Step-by-step explanation:
Let the weight of box Y be w kg.
Box X weighs 33 kg more than Box Y, then the weight of box X is
kg.
Box Z weighs 12 kg more than Box Y, then the weight of box Z is
kg.
The total weight of all boxes is
kg
Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,

or

Answer:
45/28
Step-by-step explanation:
Hey There!
They want us to find the tangent of R
Remember in sohcahTOA
t - tangent
o - opposite
a - adjacent
meaning that

The opposite of angle r is 45
the adjacent of angle r is 28
so 
We are going to have to divide...
We have to put 1 as a denominator for 3 because it's a whole.

Cross multiply.



Each person would get

of the original pizza.
Have a nice day! :)