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2 years ago

How many times larger is 12 x 104 than 4 x 102?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

7 0

Answer:

3.05

Step-by-step explanation:

12x104= 1,248

4x102= 408

1248/408-3.05

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Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

Find the product of f(x)=3 and g(x)=x+7

DaniilM [7]

F(x)=3 domain: negative infinity, positive infinity range: 3

g(x)=x+7 domain: - infinity, + infinity range: - infinity, + infinity

8 0

2 years ago

The percentage of adult height attained by girls who are x years old can be modeled by f(x)=62+35log(x-4)where x represents th

BlackZzzverrR [31]

Answer:

62% and 161.29%

Step-by-step explanation:

Given that the percentage of adult height attained by girls who are x years old can be modeled by

$f(x)=62+35log(x-4)$ , where

x represents the girl's age (from 5 to 15) and

f(x) represents the percentage of her adult height

A) When age =5, we have x=5

$f(5) = 62+35log(5-4) = 62+35log 1\\= 62+0 =62$

So height when age is 5 is 62 %

B) The approximate of her adult height is

$\frac{100}{62} \\=161.29%$

3 0

3 years ago

I understand some of this but this ones got me stumped i tried pemdas but im still lost

Mandarinka [93]

Just replace $x$ with its given value:

$9x^{2}-4x-3~~~~\text{where }x=-2\\ \\ \\ 9\cdot (-2)^{2}-4\cdot (-2)-3\\ \\ =9\cdot 4+8-3\\ \\ =36+8-3\\ \\ =41$

6 0

3 years ago

My question is 3x + (2− 4x)

Anestetic [448]

Answer:

3x+(2-4x)

= 2 (3x+4x)

=2 (7x)

=2/7x

=7x/2

=3.5

Step-by-step explanation:=3.5

7 0

2 years ago