Answer:
2times
Step-by-step explanation:
3/2mi=1.5mi
3/1.5=2
2times
Answer:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Step-by-step explanation:
A piecewise function is a function that acts differently in different regions of the domain.
In this case we know that:
P = $50.00 per piece if the number of pieces is less or equal than 5.
P = $48.00 per piece if the number of pieces is more than 5.
Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Answer:
A. A stratified random sample.
Step-by-step explanation:
Given is -
Archaeologists choose separate samples of plots from floodplain, coast, foothills, and high hills.
We can see that the sample is divided into strata like floodplain, coast, foothills, and high hills, so this is stratified random sample.
Hence, option A is the answer.
100 = 2x + 5y
44 = x + y
We can use elimination to solve this.
Multiply all terms in 2nd equation by 2.
88 = 2x + 2y
Subtract equation 2 from equation 1.
(100 = 2x + 5y) - (88 = 2x + 2y)
12 = 3y
Divide both sides by 3.
y = 4
<h3>The value of y is equal to 4, and so we can solve for the value of x.</h3>
44 = x + y
44 = x + 4
Subtract 4 from both sides.
40 = x
<h3>The value of x is equal to 40.</h3>
We can plug in the values to make sure our answer is correct.
100 = 2(40) + 5(4)
100 = 80 + 20
100 = 100 √ this is correct
44 = x + y
44 = 40 + 4
44 = 44 √ this is correct
<h3>And so, there are 40 two point questions, and 4 five point questions.</h3>
Answer:
Step-by-step explanation:
Note that .
Aha! We see a path to the solution!
We now know that our equation is actually .
We can divide both sides by to get .
By inspection or taking the logarithm base 2 of both sides, we see that .
So, the answer is and we're done!