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3 years ago

Which elements present the whole? a. percentage b. base c. rate d. both a and b

Mathematics

1 answer:

tresset_1 [31]3 years ago

4 0

1. Base presents the whole number

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Which number produces a rational number when multiplied by 0.5

Blababa [14]

There are many. For example, 32 x 0.5 is 16. You can multiply 4 x 4 to get 16, so it is rational.

5 0

4 years ago

Plz help with this!!!

Pachacha [2.7K]

4x - y = 61
2y = x

substitute x = 2y in first equaation:-

4(2y) - y = 61
7y = 61
y = 61/7

so x = 2 * 61/7 = 122/7

y = 8 5/7 and x = 17 3/7

7 0

3 years ago

An automobile depreciates by 20% per year. how soon will it be worth only half its original value? [hint: depreciation is like i

dimaraw [331]

1/2p=p (1-0.2)^t
1/2=(1-0.2)^t
1/2=(0.8)^t
Log (1/2)=t×log (0.8)
T=log(1÷2)÷log(0.8)
T=3.1 years

8 0

4 years ago

An internet search engine looks for a certain keyword in a sequence of independent web sites. It is believed that 20% of the sit

marusya05 [52]

Answer:

(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.

(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.

Step-by-step explanation:

(a)

Let X = number of sites that contains the keyword.

The probability that a site contains the keyword is, p = 0.20.

The number of sites visited first is n = 10.

The random variable X follows a Binomial distribution with parameter n and p.

The probability mass function of X is:

$P(X=x)={10\choose x}0.20^{x}(1-0.20)^{10-x};\ x=0,1,2,3...$

Compute the probability that at least 5 of the first 10 sites contain the given keyword as follows:

P (X ≥ 5) = 1 - P (X < 5)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3) - P (X = 4)

$=1-\sum\limits^{4}_{x=0} {10\choose x}0.20^{x}(1-0.20)^{10-x}\\=1-0.1074-0.2684-0.3020-0.2013-0.0881\\=0.0328$

Thus, the probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.

(b)

Let Y = number of sites that contains the keyword.

The probability that a site contains the keyword is, p = 0.20.

The random variable Y follows a Geometric distribution with parameter p.

The probability mass function of Y is:

$P(Y=y)=(1-p)^{x-1}p;\ x=1,2,3...$

Compute the probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword as follows:

P (X ≥ 5) = 1 - P (X ≤ 4)

$=1-\sum\limits^{4}_{x=1} (1-0.20)^{x-1}0.20\\=1-0.20-0.16-0.128-0.1024\\=0.4096$

Thus, the probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.

4 0

4 years ago

What is the scale factor of ΔRTS to ΔUVW ? A. 2 B. 3 C. 0 D. 1

Galina-37 [17]

Answer:

The correct option is D

Step-by-step explanation:

From the figure, we observe that,

$RS =UV$

$ST =VW$

$TR= WU$

Since the corresponding line segments are equal in length.

Therefore, the scale factor is 1.

Hence, the correct option is D.

3 0

3 years ago