3, -6, 12, 4, 20, ? What is the missing term u

Mathematics

1 answer:

kakasveta [241]4 years ago

8 0

Answer:

Step-by-step explanation:

Odd-numbered terms of the sequence appear to have first differences of 9, 8, 7, ...

Even-numbered terms of the sequence appear to have first differences of 10, 9, 8, ...

Thus the 6th term of the sequence will be 9 more than the 4th term of the sequence. It will be 13.

_____

In the absence of any clue as to the nature of the sequence, you can choose the next term(s) to be anything you like. A rule can always be made that will fit the term values you choose.

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A fertilizer company manufactures 10-pound bags of fertilizer with a standard deviation of 0.24 pounds per bag. The bag weights

Ksju [112]

Answer:

the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

Step-by-step explanation:

Given the data in the question;

μ_x = 10 pound bags

standard deviation s_x = 0.24 pounds

sample size n = 4

The bag weights are normally distributed so;

p( x' less than 9.8 ) will be;

p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )

we know that;

μ_x' = μ_x = 10

and s_x' = s_x/√n = 0.24/√4

so; we substitute

p( z < ( (9.8 - 10) / (0.24/√4) )

p( z < -0.2 / 0.12 )

p( z < -1.67 )

{ From z-table }

⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05

Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05

3 0

3 years ago

What function g describes the graph of f after the given transformations?

Alex17521 [72]

After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = |x| + 7

First we reflect the function f(x) across the x-axis

Multiply the function by -1

F(x) = -(|x| + 7)

To translated 4 units up add 4 to the function.

g(x) = -(|x| + 7) + 4

Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4

Learn more about the function here:

brainly.com/question/5245372

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