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-Dominant- [34]
3 years ago
11

A stock investment went up $25\%$ in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be

back to its original price at the beginning of 2006?
Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

20%

Step-by-step explanation:

Let x represent the initial value of the stock at the beginning of 2006. And y the value at the end of 2006.

When it went up by 25% in 2006;

y = x + 25% of x = x + 0.25x = 1.25x

For the value to go back to the original price, it has to decrease from y to x;

y = 1.25x

The percentage decrease from y to x is;

= (y-x)/y × 100%

Substituting the values;

= (1.25x -x)/1.25x × 100%

= 0.25x/1.25x × 100%

= 0.2 × 100%

= 20%

Therefore, it will have to go down 20%

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There are 4 green marbles and 7 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choo
Aliun [14]

Answer:

4/11

Step-by-step explanation:

there are 4 green out of 11 total

5 0
3 years ago
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The triangle has size with the lengths of 3 cm 13 cm and 14 cm Is it a right triangle?
WITCHER [35]

Answer:

No, it is not a right triangle

Step-by-step explanation:

Let H = 14 cm

B = 3 cm

P = 13 cm

According to pythagoras theorem:

H^2 = P^2 + B^2

14^2 = 13^2 + 3^2

196 = 169 + 9

196 is not equal to 178

Hence, it is not a right triangle

6 0
3 years ago
An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3
liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

3 0
3 years ago
A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A sma
MaRussiya [10]

Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

<em>n</em> = 100

<em>X</em> = number of irregular t-shirts = 12

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{12}{100}=0.12

Compute the test statistic as follows:

t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

  =\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474

Thus, the test statistic value is 1.474.

4 0
3 years ago
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
Nataly [62]
The first thing we should know in this case is that by definition the flow of liquid is given by:
 Q = V / t
 Where,
 V: volume
 t: time
 The volume of the cone is given by:
 V = (pi * r ^ 2 * h) / (3)
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14 * ((3) ^ 2) * 7) / (3)
 V = 65.94 in ^ 3
 We now turn off the time of the flow equation:
 t = V / Q
 Substituting values:
 t = (65.94) / (14)
 t = 4.71 minutes
 Answer:
 It will take for all the liquid in the funnel to pass through the nozzle about:
 t = 4.71 minutes
5 0
3 years ago
Read 2 more answers
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