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3 years ago

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Jason started with 12 1/2 pounds of concrete to set fence post. He used 4 1/6 pounds for the center post abd 3 1/3 pounds for th

e end post how many pounds of concrete does jason have left?

1 answer:

Kruka [31]3 years ago

7 0

He has 5 pounds left

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If f(x) and g(x) are polynomial functions, what is the domain of f(x) + g(x) ?

IRINA_888 [86]

Answer:

all real numbers or $(-\infty, \infty)$

Step-by-step explanation:

since both f(x) and g(x) are polynomials, neither of them have restrictions on their domains. Since they can be defined for all real numbers. It's not like the square root which has a domain of (0, infinity), or log x which is defined only from (0, infinity). So adding these two polynomials would result in a domain of all real numbers.

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2 years ago

How many dots would be in the 7th picture ?

neonofarm [45]

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

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3 years ago

Why will the value of y for the function y equals 5x + 1 always be greater than that of y equals 4x + 1 with X greater than 1?

klemol [59]

You mean
the linear equations, 5x-y+1=0,4x-y+1=0
the slopes are 5 and 4 respectively.
it is clear that slope of first equation is greater that is it has a steeper graph therefore it Will always be greater than the other for x > 1
the same can be done by calculus; differentiation.

note y=5x+1 is always greater than y=4x+1 for all x>1

4 0

3 years ago

Read 2 more answers

What is the ratio in simplest form?<br> 12 to 28

Oduvanchick [21]

Answer:

12:28 = 3:7

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 12 and 28 is 4

Divide both terms by the GCF, 4:

12 ÷ 4 = 3

28 ÷ 4 = 7

The ratio 12 : 28 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

12 : 28 = 3 : 7

Therefore:

12 : 28 = 3 : 7

7 0

3 years ago

A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume tha

swat32

Answer:

The mean number of packages that will be filled before the process is stopped is 50.

Step-by-step explanation:

For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Number of trials expected for n sucesses

Also called inverse binomial distribution, is given by:

$E = \frac{n}{p}$

In which p is the probability of a success in a trial.

Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.

This means that $p = 0.02$

Find the mean number of packages that will be filled before the process is stopped.

This is when $n = 1$ , as the process is stopped when a package is outside the specifications. So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

The mean number of packages that will be filled before the process is stopped is 50.

5 0

3 years ago