Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
A day
= £9.20x7
= £64.40
6 days
£64.40x6= £386.40
The wages he has after he shared it with his mom
£386.40/7x5
= 55.20x5
= £276
£1932/£276= 7
It will take him 7 weeks to afford a car worth £1932.
Answer:
75.
Step-by-step explanation:
If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.
The percentile 50 falls in the middle of this range, therefore, the value that represents the 50th percentile will be:
(65 +85) / 2 = 150 / 2 = 75.
Answer:
The weight of the parcel is 5 N
Step-by-step explanation:
we know that
Weight can be calculated using the equation:
where
W ----> weight (W) is measured in newtons (N)
m ----> mass (m) is measured in kilograms (kg)
g ----> gravitational field strength (g) is measured in newtons per kilogram (N/kg)
In this problem we have
Remember that
To convert g to kg
Divide by 1,000
so
substitute the values in the equation
therefore
The weight of the parcel is 5 N
