HELP ASAPA storage container is in the shape of a rectangular prism, with a length of 3 1/5
feet, and width of 1 3/4
feet, and a height of 2 1/4
feet. What is the container’s volume?
A)5 3/5 cubic feet
B)7 1/5 cubic feet
C)12 3/5 cubic feet
D)14 2/5 cubic feet

Answers

Answer 1

Answer: So,

All we have to do is multiply all three dimensions together.

First, convert all fractions into improper fractions.

$3 (1)/(5)--\ \textgreater \ (16)/(5)$

$1 (3)/(4) --\ \textgreater \ (7)/(4)$

$2 (1)/(4) --\ \textgreater \ (9)/(4)$

Now multiply the fractions together.

$(16)/(5)*(7)/(4)*(9)/(4)= (2*2*2*2*3*3*7)/(2*2*2*2*5)$

$(3*3*7)/(5)--\ \textgreater \ (63)/(5)\ or\ 12 (3)/(5)\ ft.^3$

The correct option is C.

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Solve: 493x = 3432x+1

Answers

Answer:

x = -1/2939

Step-by-step explanation:

First, you isolate x (subtract 3432x from both sides): -2939x = 1

Then, you divide both sides by -2939: x = - 1/2939

Answer:

no solution

Step-by-step explanation:

edge 2020

What is the rational number equivalent to 3 point 12 with a bar over 12?3 and 4 over 33
3 and 8 over 33
3 and 10 over 39
3 and 5 over 39

Answers

$(12)/(100)=0.12$

To get the 0.12 to repeat, the trick is to subtract 1 from the denominator

$(12)/(99)=0.12121212...$

Then reduce the fraction.

$(12)/(99)={4}{33}$

now add the 3 to get

$3.12121212.... = 3(4)/(33)$

Can someone tell me how

Answers

the way I get the subsequent term, nevermind the exponents, the exponents part is easy, since one is decreasing and another is increasing, but the coefficient, to get it, what I usually do is.

multiply the current coefficient by the exponent of the first-term, and divide that by the exponent of the second-term + 1.

so if my current expanded term is say 7a³b⁴, to get the next coefficient, what I do is (7*3)/5 <----- notice, current coefficient times 3 divided by 4+1.

anyhow, with that out of the way, lemme proceed in this one.

$\bf ~~~~~~~~\textit{binomial theorem expansion} \n\n \qquad \qquad (1+ax)^n\implies \begin{array}{llll} term&coefficient&value\n \cline{1-3}&\n 1&+1&(1)^n(ax)^0\n\n 2&+((1)(n))/(1)\to n&(1)^(n-1)(ax)^1\n\n 3&+(n\cdot (n-1))/(2)&(1)^(n-2)(ax)^2 \end{array}$

so, following that to get the next coefficient, we get those equivalents as you see there for the 2nd and 3rd terms.

so then, we know that the expanded 2nd term is 24x therefore

$\bf n(1)^(n-1)(ax)1 = 24x\implies n(1)(ax)=24x\implies nax=24x\implies n=\cfrac{24}{a}$

we also know that the expanded 3rd term is 240x², therefore we can say that

$\bf \cfrac{n(n-1)}{2}~~(1)^(n-2)(ax)^2 = 240x^2\implies \cfrac{n(n-1)}{2}(1)(a^2x^2) = 240x^2 \n\n\n \cfrac{(n^2-n)(a^2x^2)}{2}=240x^2\implies \cfrac{(n^2-n)(a^2)}{2}=\cfrac{240x^2}{x^2}\implies \cfrac{a^2n^2-a^2n}{2}=240 \n\n\n a^2n^2-a^2n=480$

but but but, we know what "n" equals to, recall above, so let's do some quick substitution

$\bf a^2n^2-a^2n=480\qquad \boxed{n=\cfrac{24}{a}}\qquad a^2\left( \cfrac{24}{a} \right)^2-a^2\left( \cfrac{24}{a} \right)=480 \n\n\n a^2\cdot \cfrac{24^2}{a^2}-24a=480\implies 24^2-24a=480\implies 576-24a=480 \n\n\n -24a=-96\implies a=\cfrac{-96}{-24}\implies \blacktriangleright a = 4\blacktriangleleft \n\n[-0.35em] ~\dotfill\n\n n=\cfrac{24}{a}\implies n=\cfrac{24}{4}\implies \blacktriangleright n=6 \blacktriangleleft$

A biased sample is one in which every member of the group has an equal chance of being chosen. True or false?

Answers

This statement is false, in a biased sample every member does not have an equal chance of getting selected.

What is a biased sample?

If some individuals or groups from the population are not represented in the sample, the sample is biased.

Example of a biased sample:

The graph presented in the figure below, represents the drug usage by school students but this is a biased data because it does not include the students who have already passed out from the school or the students who were studying from home, as this data is not the complete data hence it is an example of a biased sample.

Learn more about biased sample on:

brainly.com/question/313246

#SPJ2

Answer:

false

Step-by-step explanation:

Line segment AB has a length of 6 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'. What is the length of A'B'?