Answer:
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
substitute
apply distributive property
see the attached figure to better understand the problem
Answer:
x=7
z=79
Step-by-step explanation:
13x+10=101
13x=91
x=7
180-101=79
Answer:
8
Step-by-step explanation:
Recall the formula for the population mean of a data set:
We already know that μ is 6 and the sum is 48. Substitute:
Divide both sides by 48:
Reciprocal of both sides:
Thus, there are 8 scores in the population size.
And we're done!
Answer:
28 km per hour
Step-by-step explanation:
Kilometres Brian needs to drive in an hour = total kilometres / total hours
168 km / 6 hours = 28 km per hour
Answer:
2/9
Step-by-step explanation:
The question asks to calculate the number of boys in a group who has brown eyes given the fraction of the boys having the brown eyes.
To do this, we can take any arbitrary value for the total number of students in the math club. Let’s say this is 360 students.
Now, we are told that half of these number are boys. The total number of boys is thus 180 boys. Also, we are made to know that 4/9 of these boys have brown eyes. This means 4/9 of 180 boys have brown eyes. This is numerically equal to 4/9 * 180 = 80 boys.
Hence, the fraction of the math club with brown eyes is 80/360 = 2/9
