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iogann1982 [59]
3 years ago
12

By what percent (%) will a fraction change if its numerator is decreased by 10% and its denominator is decreased by 70%?

Mathematics
1 answer:
Lana71 [14]3 years ago
5 0
The fraction will change 7%
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a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b If necessary, use t
WINSTONCH [101]

Answer:

\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx

Step-by-step explanation:

Arc length is calculated by dividing the arcs in to small segments ds

By pythagoren theorem

ds^2=dx^2+dy^2

then integrate ds to get arc length.

We are given a function as

y = sin 2x in the interval  [0, pi/2]

To find arc length in the interval

Arc length s =\int\limits^{\pi/2} _0 {1+y'^2} \, dx \\=\int\limits^{\pi/2} _0 (1+4cos^{2} (2x) )dx

Hence arc length would be

B) \int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx

6 0
3 years ago
Lucas 15 iguanas and five dogs what is the ratio of dogs to iguanas?
yulyashka [42]

Answer:

so the ratio is what? to me I think it's 15 iguanas to 5 dogs

Step-by-step explanation:

have a great day :)

6 0
3 years ago
Read 2 more answers
Solve for x<br> 3/10 = x/7<br> Give your answer as an improper fraction in its simplest form!!!!!
julsineya [31]

Answer:

x = 21/10

Step-by-step explanation:

3/10 = x/7

Cross multiply.

10x = 21

x = 21/10

5 0
3 years ago
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I need help! Please help me! :(
sergey [27]

Let's go one by one.

A: The distribution is, in fact, symmetric.  I know this because if I were to draw a straight line, or hold up a mirror to the screen, both sides would match.

B: B is not true because there is only student who is the maximum age of 16, as compared to the majority of students who are 14.

C: Let's write down the data:

12, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 16

If we add all these up, we get 168. We then should divide by 12, the amount of data samples, which gives us 14.

The mean is 14.

Automatically, I see that the center is filled with 14. Even though there are 12 total data pieces, we will not need to find the middle of two of the numbers-because 14 and 14 are the same number.

The median is 14.

Because the mean and median are both 14, we can conclude that C is true.

D: Because the mode (or most common number) would also be 14, we can conclude instantly that the 14 we got from the mean and median is the best representation of students in the play. D is also true.  As far as the best measure of center goes, I usually prefer the mean, but it is almost entirely situational.

1. Mean (The average is<u> almost</u> always reliable)

Non-example: (4,4,4,4,4,4,4,4,4,4,307) It is clear there is an outlier here, which could affect the data more than it needs to-therefore this is a non-example.

Please let me know if this was helpful, or if you have any questions! If you are able, I'd be grateful to receive a rating!

6 0
3 years ago
In a standard deck of cards there 52 cards of which 26 are black and 26 are red. Additionally, there are 4 suits, hearts, clubs,
stich3 [128]

Using probability concepts, it is found that P(S and D) = 0.1275.

-----------------------

  • A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
  • In a standard deck, there are 52 cards.
  • Of those, 13 are spades, and 13 are diamond.

  • The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:

P(S \cap D) = 2 \times \frac{13}{52} \times \frac{13}{51} = \frac{2\times 13 \times 13}{52 \times 51} = 0.1275

Thus, P(S and D) = 0.1275.

A similar problem is given at brainly.com/question/12873219

7 0
3 years ago
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