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3 years ago

Help ill give you 25 points

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

Step-by-step explanation:

3n+2 is divisible by p:

3n + 2 = px

8n+3 is divisible by p:

8n + 3 = py

Solve each equation for n:

n = (px - 2)/3
n = (py - 3)/8

Eliminate n and solve for p:

(px - 2)/3 = (py - 3)/8
8(px - 2) = 3(py - 3)
8px - 16 = 3py - 9
8px - 3py = 7
p = 7/(8x - 3y)

As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.

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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

What is the value of x? A) 12 B) 39 C) 45 D) 33

ICE Princess25 [194]

x^2 = 15^2 + 36^2

X^2 = 225 + 1296

X^2 = 1521

x = sqrt(1521)

x =39

3 0

3 years ago

Read 2 more answers

Use the quadratic formula to solve the equation x^2-7x-6=0

olganol [36]

Answer:

$\frac{7\pm\sqrt{73}} {2}$

Explanation:

We have been given with the quadratic equation $x^2-7x-6=0$

We have general formula to find the roots of a quadratic equation first we find the discriminant with formula

$D=b^{2}-4ac$

and after that to find the variable suppose x we have the formula

$x=\frac{-b\pm\sqrt{D}} {2a}$

And general quadratic equation is

$ax^2+bx+c=0$

On comparing the given quadratic equation with genral quadratic equation we will have values

a=1, b=-7 and c=-6

After substituting these values in the formula we will get

$D=(-7)^2-4(1)(-6)={73}$

After substituting in the formula to find x we will get

$\frac{-(-7)\pm\sqrt{73}} {2}= \frac{7\pm\sqrt{73}} {2}$

4 0

3 years ago

Read 2 more answers

Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop?

konstantin123 [22]

Answer:

Coffee(time)

Step-by-step explanation:

A function's output variable will be:

output(input)

So we need to find the input variable and the output variable.

We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.

The time of day then becomes our input as the coffee sold relies on that number.

That leaves coffee sold as our output!

So the best name for a function in this scenario is Coffee(time).

Hope this helped!

3 0

3 years ago

Hey can you help me answer this question by giving me the answer?

Leto [7]

The value of f(a)=4-2a+6 $a^{2}$ , f(a+h) is $6a^{2} +6h^{2} -2a-2h+12ah$ , [f(a+h)-f(a)]/h is 6h+12a-2 in the function f(x)=4-2x+6 $x^{2}$ .

Given a function f(x)=4-2x+6 $x^{2}$ .

We are told to find out the value of f(a), f(a+h) and [f(a+h)-f(a)]/hwhere h≠0.

Function is like a relationship between two or more variables expressed in equal to form.The value which we entered in the function is known as domain and the value which we get after entering the values is known as codomain or range.

f(a)=4-2a+6 $a^{2}$ (By just putting x=a).

f(a+h)== $4-2(a+h)+6(a+h)^{2}$

=4-2a-2h+6( $a^{2} +h^{2} +2ah$ )

=4-2a-2h+6 $a^{2} +6h^{2} +12ah$

= $6a^{2} +6h^{2}-2a-2h+12ah$

[f(a+h)-f(a)]/h=[ $6a^{2} +6h^{2}-2a-2h+12ah$ -(4-2a+6 $a^{2}$ )]/h

= $(6a^{2} +6h^{2} -2a-2h+12ah)/h$

= $(6h^{2} -2h+12ah)/h$

=6h+12a-2.

Hence the value of function f(a)=4-2a+6 $a^{2}$ , f(a+h) is $6a^{2} +6h^{2} -2a-2h+12ah$ , [f(a+h)-f(a)]/h is 6h+12a-2 in the function f(x)=4-2x+6 $x^{2}$ .

Learn more about function at brainly.com/question/10439235

#SPJ1

7 0

2 years ago