Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal(
)
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( > 
) = P(Z > 1.18) = 1 - P(Z 
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
The maximum radius of each ball is 3.33 cm.
<h3>What is a Cylinder?</h3>
A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.
A 20 cm nail perfectly fits the cylinder.
So the height of the cylinder = 20cm.
A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.
If 3 spheres have to be fitted inside the cylinder,
The sum of the diameter of the spheres will be equal to the height of the cylinder.
The spherical balls are identical and so will have the same diameter
Let the maximum diameter of the sphere that can fit in the cylinder is d cm
Then,
d + d + d = 20
3d = 20
d = 20/3 = 6.67 cm
r = 3.33 cm
The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.
To know more about Cylinder
brainly.com/question/16134180
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Answer: A
Step-by-step explanation:
when thinking about the figurative language we understand that you have to dig deeper for the answer just like poems lol, but the answer is A because when he says they are beating it with a hose to find out what it truly means it makes sense to criticize the way some readers try and understand poems. plus i got it right on the test kisses :)
if you want please mark me brain list :))))))
Answer:
The independent variable is the amount of miles walked, and the dependent is the total from home.
Step-by-step explanation:
5x + 14 = 26
subtract 14 on both sides
5x = 26 - 14
5x = 12
Divide 5 on both sides
x = 12/5
x = 2.4
That's only to the nearest tenth. To make it to the hundreth, just add another 0 at the end. It doesn't change the value of it.
x = 2.40 is your final answer.
