Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
The range of it is 90 subtract the greatest # from the least 90-8
Answer:
With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to the normal distribution if:
np > 5, n(1-p) > 5
70% of the drivers traveling on a major interstate highway exceed the speed limit.
So p = 0.7.
Would a random sample of 50 cars have been large enough and why?
With n = 50
np = 50*0.7 = 35 > 5
n(1-p) = 50*0.3 = 15 > 5
With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.
Answer:
13 and 16.
Step-by-step explanation:
Let the 2 parts be x and y, then:
x + y = 29
x^2 + y^2 = 425
From the first equation y = 29 - x so substituting in second equation, we get:
x^2 + (29 - x)^2 = 425
x^2 + 841 - 58x + x^2 - 425 = 0
2x^2 - 58x + 416
x^2 - 29x + 208 = 0
208 = 2*2*2*2*13
= 16 * 13
So factoring we get:
(x - 13)(x - 16) = 0
x = 13 ,16
So the numbers are 13 and 16.
The graph is a linear graph
The equation of a linear graph is given in the form
where
is the gradient and
is the y-intercept
To find gradient:
Choose any two coordinates that lie on the line.
We choose (4,7) and (0, 10)
the graph crosses the y-axis at 10, so the value of
Forming the equation
Answer: D
