Is 400 pints greater or less than or equal to 100 gallons

It has been conjecture by the U.S. Census Bureau that "approximately 60% of foreign-born people who live in the U.S. are not nat

Rudiy27

Answer:

b. 42 people

Step-by-step explanation:

For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"

This means that $p = 0.6$

70 foreign-born people who live in the U.S

This means that $n = 70$

How many people would you expect to get that are not naturalized citizens?

$E(X) = np = 70*0.6 = 42$

So the correct answer is:

b. 42 people

8 0

3 years ago

Here is the graph of the sequence M define M recursively using function notation<br>

aev [14]

The graph of the sequence M , we define M recursively using function notation

$f(n+1)=f(n)-2$

Given :

the graph of the sequence M

Lets write the recursive function using the given points

First point is (1,7) and second point is (2,5) then (3,3) and so on

For recursive function , we use the initial point (1,7)

when n=1, f(n)=7

the y values of the point are decreasing by 2. Common difference is -2

Recursive function is

$f(n+1)=f(n)-diffeference \\f(n+1)=f(n)-2$

where n=2,3,4...

Learn more : brainly.com/question/10676131

8 0

1 year ago

1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a

Sunny_sXe [5.5K]

Answer:

The equation $x=4$ represents in R^2 c) a line

The equation $x=4$ represents in R^3 a) a plane

The equation $y+3x=2$ represents in R^3 a) a plane

The equation $z-4y=8$ represents d) a plane

The pair of equations $y=2,z=8$ represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , $x=a$ with $a$ ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set $x=4$ we will have only one free variable in R^2 (which is a line in R^2). Therefore, $x=4$ represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set $x=4$ we will have only two free variables (y and z) and $x=4$ will represent a plane (which have two dimensions) in R^3.

2) The equation $y+3x=2$ in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation $y+3x=2$ in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation $z-4y=8$ represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations $y=2,z=8$ set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0

2 years ago

Show work, please someone help me, i'm confused still on this concept.

BigorU [14]

Answer: choice C) -15x^4y

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

Explanation:

The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer

Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added

Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y

So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y

Put this all together and we end up with -15x^4y which is what choice C is showing

3 0

3 years ago

3(x-5) = 5x - (3 - x)

alina1380 [7]

Answer:

X=-4

Step-by-step explanation:

8 0

3 years ago

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