Our first instinct is to go through every step ...
-- calculate the volume of the bowl
-- calculate the volume of the ladle
-- divide the volume of the bowl by the volume of the ladle
and we may even start down that path. But we soon realize that
it's going to be painful and take a lot of time. So we stop right
where we are, and consider our options.
We have two options:
#1). Give up, quit, and walk away.
#2). Find a smarter way to do it.
Look at the formula for the volume of a sphere:
Volume = (4/3 π) (radius³) .
Do you see that ? The radius³ is a factor in the volume of
every sphere. That means that if you multiply the radius
of a sphere by (a number), the volume of the sphere gets
multiplied by (the same number)³ !
How does that help us with this problem ? Well, it also means
that the ratio of the volumes of two spheres is
(the ratio of their radii)³.
Radius of the bowl = 15 inches
Radius of the ladle = 4 inches
Ratio of their radii = (15/4) = 3.75
So the bowl holds (3.75)³ as much as the ladle holds.
(3.75)³ = 52.73 ...
The bowl holds 52.73 ... times as much as the ladle.
After Grandma Edith scoops 52 ladle-fulls from the bowl,
there will be less than 1 ladle-full remaining in there.
And we did it all without even knowing π .
First, we need to find side length CB, which can be found by:
Answer:
The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.
Step-by-step explanation:
We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.
Let = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>
The z-score probability distribution for the sample mean is given by;
Z = ~ N(0,1)
where, = population mean length of rods = 259.2 cm
= standard deviaton = 2.1 cm
n = sample of steel rods = 17
Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( > 259 cm)
P( > 259 cm) = P( > ) = P(Z > -0.39) = P(Z < 0.39)
= <u>0.65173</u>
The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.
Answer:
75%
Step-by-step explanation:
25% are potatoes
100%-25%=75%
(Hope this helps!)
Answer:
$31.56
Step-by-step explanation:
$9.85 × 4 = $39.40
$39.40 25% off is $29.55
6.75% rounded to the nearest cent 6.80%
Sales tax is $2.01
$29.55 + $2.01 = $31.56