To find the mean: You have to add them all together, then divide them by how many numbers there are.
So: 23+25+32+35+36+25+27 = 203
How many numbers did we add up? 7.
203 ÷ 7 = 32.85714 (That is the mean rounded up to the nearest hundredth thousandth).
Answer:
the answer is c
Step-by-step explanation:
x and y have to be at least 12, so that's why the greater than sign was used
the amount of money had to be at most $230, so that's why the less than sign was used
they said x and y represent black and white respectively, so that means x is black and y is white, so it is 18x and 20y
Answer:
45.40
Step-by-step explanation:
First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:
y=acoshxa
You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:
a+30=acoshd2a(1)
The lenght of the catenary is given by the following formula (which can be proved easily):
s=asinhx2a−asinhx1a
where x1,x2 are x-cooridanates of ending points. In our case:
80=2asinhd2a
40=asinhd2a(2)
You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.
Square (1) and (2) and subtract. You will get:
(a+30)2−402=a2
Calculate a from this equation, replace that value into (1) or (2) to evaluate d.
My calculation:
a=353≈11.67
d=703arccosh257≈45.40
Answer:
a bicyclist turning around a corner
Step-by-step explanation:
I got it right on edge
First, let's start by figuring out how much Kendra gets paid per day. To do this, we can divide 300 by 5. 300 / 5 equals $60 per day.
Next, we can take the amount she gets paid per day and multiply it by the number of days, 24. 24 * 60 = $1440.
At the rate of $60 per day, Kendra will get paid $1440 for working 24 days.
Hope this helps!! :)
