Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.
Step-by-step explanation:
Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.
In linear equation y=mx+c, = rate of change of y with respect to x.
Here Coefficient of a = rate of change of C with respect to a.
i.e. Coefficient of a =amount charged per acre in the park.
Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.
Answer:
80g
Step-by-step explanation:
Here's why:
SO you have 2:3 ratio which means the ratio for grams of butter/grams of flour has to be 2:3.
So we set up the following equation:
2/3 = 640/x (solve for x)
x= 960g
960g is what you should have to get to ratio, but the question is asking how much more you need from the initial given flour.
So you need (suppose x is the grams of flour you need)
x+880g = 960g (solve for x)
x=80g
Let us take number of $5 bills = x and
number of $10 bills = y.
Give that "number of $10 bills is twice the number of $5 bills".
So, y is twice of x,
We can setup an equation.
y= 2x ............................... equation(1)
Total value of all bills = $125.
We can setup another equation,
5*(number of $5 bills) + 10*(number of $10 bills) =125.
5(x) +10(y) = 125 ................................... equation(2)
Plugging y=2x in equation(2), we get
5(x) +10(2x) = 125 .
5x+20x = 125.
Adding like terms
25x = 125
Dividing both sides by 25.
25x /25 = 125/25
x= 5.
Plugging x=5 in first equation, we get
y= 2(5) = 10.
Therefore, number of number of $5 bills=5 bills and number of $10 bills = 10 bills.
Answer:
The <em>p</em>-value of the test is 0.0512.
Step-by-step explanation:
The <em>p</em>-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
In this case the output of the t-test_ind method from scipy module is provided as follows:
Output = (-1.99, 0.0512)
The first value within the parentheses is the test statistic value.
So the test statistic value is, -1.99.
And the second value within the parentheses is the <em>p</em>-value of the test.
So the <em>p</em>-value of the test is 0.0512.
Answer: The correct option is A.
Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.
We are given the resultant polynomial which is : 
One of the polynomial which are added up is : 
Let the other polynomial be 'x'
According to the question:
Solving the like terms in above equation we get:
Hence, the correct option is A.
