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3 years ago

What is the sum of ¾ + ⅔ in simplistic form

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

$\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}$

Therefore:

$\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}$

<h3>Answer: 17/12 = 1 5/12</h3>

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Alexandra invested $800 in an account paying an interest rate3.1% compounded continuously. Assuming no deposits or withdrawals a

s2008m [1.1K]

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3 years ago

A band sold out 4 of its last 20 shows. What is the experimental probability that the band's

kykrilka [37]

Answer:

$\frac{1}{5}$ probability

Step-by-step explanation:

P(Sold Out)= $\frac{4}{20}$

$\frac{4}{20} =\frac{1}{5}$

So since the experimental probability is the number of times an event occurs out of the total number of trials...

The answer to "what is the experimental probability that the band's next show will be sold out?" Is $\frac{1}{5}$ !!!

Hope this helped you!

Have a nice evening!

8 0

2 years ago

Which pair of lines are perpendicular lines?

Evgen [1.6K]

Answer:

Lines that cross one another.

Step-by-step explanation:

4 0

2 years ago

. Among all the income tax forms filed in a certain year, the mean tax paid was $2000, and the standard deviation was $500. In a

Anarel [89]

Answer:

a) 0.8413

b) 0.6293

Step-by-step explanation:

Data provided:

Mean tax paid = $2000

Standard deviation = $500

Sample size, n = 625

n=625

Now,

a) P( average tax paid on the sample forms is greater than $1980)

⇒ P(X > 1980)

⇒ $P(\frac{(X-mean)}{\frac{s}{\sqrt n}})$

⇒ $P(\frac{(1980-2000)}{\frac{500}{\sqrt{625}}})$

⇒ P(Z > -1)

= 0.8413 (From standard normal table)

b) P(more than 60 of the sampled forms have a tax of greater than $3000)

given: p = 10% = 0.1

Now, by using CLT

mean = n × p

= 625 × 0.1

= 62.5

Standard deviation, s = $\sqrt{n\times p\times(1-p)}$

= $\sqrt{625\times0.1\times(1-0.1)}$

= 7.5

Thus,

P(X > 60)

= $P(\frac{(X-mean)}{s} > \frac{(60-62.5)}{7.5})$

= P(Z > -0.33)

= 0.6293 (From standard normal table)

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2 years ago

Question 4 (2 points)

Svetradugi [14.3K]

Answer:

1. sometimes true

A rhombus is a quadrilateral with all equal size and length. A square is a quadrilateral with all equal size and length, and all right angles around bus, however, can be a square if it has right angles.

2. always true

A square has to have all equal sides and all right angles, however, a rectangle has to have right angles and opposite sides are equal to each other. So if a square has equal sides, it can be considered a rectangle since both opposite sides are equal

3. sometimes true

A parallelogram is a quad roulette or with parallel and equal opposite sides, and a rectangle has right angles and equal opposite sides, therefore, if the parallelogram has right angles, then it is considered a rectangle

4. always true

A quadrilateral has to have 4 sides and the rectangle has 4 sides there, for it is considered a quadrilateral

5. never true

A parallelogram is a quadrilateral, therefore, it has to have 4 sides, but a hexagon has to have 6 sides, therefore, it is never a hexagon

5 0

2 years ago