The empirical rule says that roughly 99.7% of the population is within 3 standard deviations of the mean.
Start at the center 60 which is the mean. Add on 3 standard deviations
60 + 3*4.5 = 73.5
and subtract off 3 standard deviations from the mean
60 - 3*4.5 = 46.5
So roughly 99.7% of the population of cattle has horn lengths between 46.5 inches and 73.5 inches
<h3>Answer: Choice D. 46.5 in - 73.5 in</h3>
Answer:
11
Step-by-step explanation:
g(x) = 2x + 7
Put x as 2 and evaluate.
g(2) = 2(2) + 7
Multiply.
g(2) = 4 + 7
Add the terms.
g(2) = 11
Infinitely many because if you take the top equation and multiply it by 2 you get the same equation. That means that any number you plug in for x is a solution
Answer:
The volume of the light sphere is 2355in³
Step-by-step explanation:
We know that the formula to calculate the volume of a sphere is
v = 3/4 * π * r³
we know that the diameter is 20in but we need to know the radius, the radius is half the diameter
r = 1/2 * 20in
r = 10 in
π = 3.14
we replace the values and calculate the volume of a sphere
v = 3/4 * 3.14 * (10in)³
v = 3/4 * 3.14 * (1000in³)
v = 2355in³
The volume of the light sphere is 2355in³
You have to understand how piecewise functions first
I hope you do because I won't be explaining it here
1.
if it is continiuous at x=1 then the part of the function that approaches 1 from the left is the same value
so we have f(x)=3-x for x<1, so evaluate it for x=1,
we would get 3-1=2
so
if a=2 and b=3
f(x)=2x²+3x
for x=1, we get 2+3=5
it approaches 2 from the left but equals 5
2≠5
so it is not continuous because it doesn't approach the same value at x=1
2.
alright
so we established that it should approach 2 because we had the f(x)=3-x
so
f(1)=2=ax²+bx
2=a+b
the relationship is 2=a+b
3.
same as before, but use the other function, the one that is defined at x≥2
5x-10, 5(2)-10, 10-10, 0
it approaches 0
so
we must find one such that f(x)=0 for x=2 with the ax²+bx
0=a(2)²+b(2)
0=4a+2b
if we minus 2b both sides
-2b=4a
divide by 2
-b=2a
add b both sides
0=2a+b
4.
2=a+b
0=2a+b
2=a+b
minus b both sides
2-b=a
subsitute
0=2a+b
0=2(2-b)+b
0=4-2b+b
0=4-b
b=4
sub back
2-b=a
2-4=a
-2=a
a=-2
b=4
5.
graph f(x)=-2x²+4x from x=1 to x=2 and put a closed dot at (1,2) and an open dot at (2,0)
