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4 years ago

Which expression is equivalent to the given expression? 6y−12

Mathematics

2 answers:

iren [92.7K]4 years ago

7 0

It would be 3y+3y-12, because 3y+3y is equal to 6y, and of course you have minute 12 left.

I am Lyosha [343]4 years ago

4 0

Answer:

Step-by-step explanation:

hope this helps!

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A sofa depreciates at 20% of its original value each year. If the sofa was $349 at its time of purchase, what is the value of th

klemol [59]

Answer:

$142.95

Step-by-step explanation:

Given Original value of the sofa = $349

Rate of depreciation each year = 20%

Number of years = 4

To find the value of the sofa after 4 years use depreciation formula:

If the constant decrease in population be R% per annum. Then the population after n years is $P \times\left(1-\frac{R}{100}\right)^{n}$

$349 \times\left(1-\frac{20}{100}\right)^{4}=349 \times\left(\frac{100-20}{100}\right)^{4}$

$=349 \times\left(\frac{80}{100}\right)^{4}$

$=349 \times\left(\frac{4}{5}\right)^{4}$

= 142.9504

= 142.95 (Nearest cent)

Hence, the value of sofa after 4 years is $142.95.

7 0

3 years ago

In how many ways can a person enter a room that has three doors and leave it by (a) a different door? (b) any door? How do i do

White raven [17]

Part (a)

Label the doors A, B, C.

If a person goes through door A, then they have 2 choices (B or C) to pick as an exit. Similarly, if they go through door B, then they have 2 choices for an exit (A or C). Finally, if they go through door C, then they have 2 choices for an exit (A or B).

We have 3 choices for the entrance, and 2 choices for the exit.

So overall, 3*2 = 6 different combinations are possible.

Those 6 combos are

AB, AC, BA, BC, CA, CB

<h3>Answer: 6</h3>

=============================================

Part (b)

This is effectively the same as part (a), but we can now re-use the entrance door. For any door we enter, we have 3 choices to pick from for the exit. There are 3 doors, so 3 entrances and 3 exits, meaning 3*3 = 9 different combinations.

Those 9 combos are

AA, AB, AC, BA, BB, BC, CA, CB, CC

<h3>Answer: 9</h3>

5 0

3 years ago

The average waiting time for a drive-in window at a local bank is 9.2 minutes, with a standard deviation of 2.6 minutes. When a

Lady bird [3.3K]

Answer:

a) 56.91% probability that the customer will have to wait between 5 and 10 minutes.

b) 65.49% probability that the client will have to wait less than 6 minutes of more than 9 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 9.2, \sigma = 2.6$

(a) Between 5 and 10 minutes

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 5. So

X = 10

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 9.2}{2.6}$

$Z = 0.31$

$Z = 0.31$ has a pvalue of 0.6217

X = 5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 9.2}{2.6}$

$Z = -1.62$

$Z = -1.62$ has a pvalue of 0.0526

0.6217 - 0.0526 = 0.5691

56.91% probability that the customer will have to wait between 5 and 10 minutes.

(b) Less than 6 minutes or more than 9 minutes

Less than 6

pvalue of Z when X = 6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6 - 9.2}{2.6}$

$Z = -1.23$

$Z = -1.23$ has a pvalue of 0.1230

12.30% probability that the client will have to wait less than 6 minutes

More than 9

1 subtracted by the pvalue of Z when X = 9.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{9 - 9.2}{2.6}$

$Z = -0.08$

$Z = -0.08$ has a pvalue of 0.4681

1 - 0.4681 = 0.5319

53.19% probability that the client will have to wait more than 9 minutes

Less than 6 or more than 9

12.30 + 53.19 = 65.49% probability that the client will have to wait less than 6 minutes of more than 9 minutes.

5 0

3 years ago

Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid

rewona [7]

Answer: C

Step-by-step explanation:

Because there are two pairs of opposite parallel sides, it is a parallelogram.

Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.

6 0

2 years ago

I need help with the whole problem. Please help.

xeze [42]

It's a little weird because area of a triangle is always 1/2 bh it doesn't ask for units
A)1/2 bh (put numbers in unit of feet)
B)asks to find area using A (like you know area in unit of square feet )( every
square feet is 144 square inch)
C)1/2*3*2.2=1.1*3=3.3 square inch

6 0

3 years ago