Step-by-step explanation:
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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.
Answer: The factorization of

The factors of
are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : 
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become

Now, taking 28 as common from all the terms, we will get

Thus, the factorization of

And the factors of
are 28 and 1+2t+w.
The expression of Volume in cubic meter
(8)(6)(6)+(8)(6)(4)
The correct option is (1)
<h3>What is Volume?</h3>
Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.
Volume will be,
V= Volume of rectangular pyramid + Volume of cuboid
Volume of rectangular pyramid=
* base area* height
=
* 6*8*(10-4)
=
* 6*8*6
Volume of cuboid= l*b*h
= 4*6*8
So, Volume =
* 6*8*6 + 4*6*8
=
(8)(6)(6)+(8)(6)(4)
So, The expression of Volume in cubic meter
(8)(6)(6)+(8)(6)(4).
Learn more about Volume here:
brainly.com/question/15626455
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The answer is
2)40
3)y=3\2