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Evaluate 33/5 - 1/10

azamat

Answer:

$\large\boxed{\dfrac{13}{2}=6\dfrac{1}{2}=6.5}$

Step-by-step explanation:

We have the different denominators.

The common denominator is 10.

$\dfrac{33}{5}=\dfrac{33\cdot2}{5\cdot2}=\dfrac{66}{10}$

We can subtract these fractions now.

$\dfrac{33}{5}-\dfrac{1}{10}=\dfrac{66}{10}-\dfrac{1}{10}=\dfrac{66-1}{10}=\dfrac{65:5}{10:5}=\dfrac{13}{2}\\\\\dfrac{13}{2}=\dfrac{12+1}{2}=6\dfrac{1}{2}$

3 0

3 years ago

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What ratio is equivalent to 2/1

Vanyuwa [196]

Answer:12 : 6 22 : 11 32 : 16

Step-by-step explanation:

5 0

2 years ago

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At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So 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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

2 years ago

A line with a slope -2 passes through the point (-1,4). Which equation represents this line in point-slope form?

sesenic [268]

9514 1404 393

Answer:

y-4 = -2(x+1)

Step-by-step explanation:

The point-slope equation of a line is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...

y -4 = -2(x +1)

7 0

2 years ago

Solve equation for 5x-14=8x+4

creativ13 [48]

My answer-

Simplifying 5x + -14 = 8x + 4

Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x

Solving -14 + 5x = 4 + 8x Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to

each side of the equation. -14 + 14 + -3x = 4 + 14

Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14

Combine like terms: 4 + 14 = 18 -3x = 18 <span>

Divide each side by '-3'. x = -6

Simplifying x = -6

If you need anything else on brainly let me know :)</span>

6 0

3 years ago

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