The function P=0.00892 + 1.11491 + 78.4491 models the United States population in millions since 1900. Use the function
P to predict the year in which the population exceeds 1 billion,

Answers

Answer 1

Answer:

P = 31.7097894

Step-by-step explanation:

I think this is right. let me know if its wrong


Related Questions

A number less than six

Answers

A number less than six is 5

If Rick buys a remote control car for $29.00, what is his selling price?

Answers

Answer:

31

Step-by-step explanation:

31

The equation 3s=21 can be used to find the number of students s in each can on a field trip. How Many students are in each Van? Please Hlep Me With This ASAP ​

Answers

Te answer is 7 :))))))

Which of the following measurements form a right triangle? Select all that apply.

A. 7in., 24 in., & 25 in.


B. 18ft., 23 ft., & 29 ft.


C. 10 in., 24 in., & 26 in.

Pls answer asap. Ty :)

Answers

Answer:

B C

Step-by-step explanation:

because imagine that you have a huge doll house and you're wondering if you can get it in your room but you aren't sure what will happen if you try and push it through your door

would would my grade go down to if i got a 78% on a test? it’s a summative so it’s 60% of my grade. i have a 98 in that class.

Answers

Yes your grade would go down but only slightly because of the 98 its keeps it for a bit but if you were to have an even lower grade it would go farther done maybe bring you to a 70

Answer:

yes it would go down a little bit but not much, so it nothing to worry about to much

Step-by-step explanation:

Is 5x-1=9 always, sometimes, or never true? And why?

Answers

Answer:

never

Step-by-step explanation:

The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 80% of the cases. Suppose the 13 cases reported today are representative of all complaints.

Required:
a. How many of the problems would you expect to be resolved today? What is the standard deviation?
b. What is the probability 10 of the problems can be resolved today?
c. What is the probability 10 or 11 of the problems can be resolved today?
d. What is the probability more than 10 of the problems can be resolved today?

Answers

Answer:

a. 10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. 0.2457 = 24.57% probability 10 of the problems can be resolved today

c. 0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today

d. 0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Step-by-step explanation:

For each case, there are only two possible outcomes. Either they are solved, or they are not. Cases are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

It can resolve customer problems the same day they are reported in 80% of the cases.

This means that [tex]p = 0.8[/tex]

Sample of 13 cases:

This means that [tex]n = 13[/tex]

a. How many of the problems would you expect to be resolved today? What is the standard deviation?

Expected:

[tex]E(X) = np = 13*0.8 = 10.4[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{13*0.8*0.2} = 1.44[/tex]

10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. What is the probability 10 of the problems can be resolved today?

This is [tex]P(X = 10)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

0.2457 = 24.57% probability 10 of the problems can be resolved today.

c. What is the probability 10 or 11 of the problems can be resolved today?

This is [tex]p = P(X = 10) + P(X = 11)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]p = P(X = 10) + P(X = 11) = 0.2457 + 0.2680 = 0.5137[/tex]

0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today.

d. What is the probability more than 10 of the problems can be resolved today?

This is

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]P(X = 12) = C_{13,12}.(0.8)^{12}.(0.2)^{1} = 0.1787[/tex]

[tex]P(X = 13) = C_{13,13}.(0.8)^{13}.(0.2)^{0} = 0.0550[/tex]

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) = 0.2680 + 0.1787 + 0.0550 = 0.5017[/tex]

0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Passing through (4,5) and PARALLEL to y=2x-4

Answers

A PARALLEL line has the same angular coeficient, so:

[tex]f(x) = 2x+b[/tex]

[tex]f(4) = 5[/tex]

[tex]5 = 2\cdot 4 +b[/tex]

[tex]b = 5-8[/tex]

[tex]b = -3[/tex]

The line asked is:

[tex]f(x) = 2x-3[/tex]

Answer:

-2x+y=-3

Step-by-step explanation:

Choose a point (4,5) that the parallel line will pass through.

Find the slope m=2

To find an equation that is parallel to   y=2x-4 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

y-y1=m(x-x1) if m=2 and x1=4 and y1=5

y-5=2(x-4)

y-5=2x-8

Solve for  y --- > y=2x-3

-2x+y=-3

(-2x+y=-3)*-1

2x-y=3

What is the value of g?
580
g
Your answer

Answers

Answer:

32 degrees

Step-by-step explanation:

The total angle formed is 90 degrees because there is a right angle.

So, 90 - 58 = g

      32 degrees = g

Jackle works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?

Answers

Answer:

522

Step-by-step explanation:

8x34=272+tips=522

please help me
thank ​

Answers

Answer:

a) equilateral

b) Isosceles

c) scalene

d) right angle

e) acute angle

f) obtuse angle

It is correct answer

3) Sandra drove 126 miles in 2 hours at a constant speed. Use a proportion to find how long it
will take her to drive 189 miles at the same speed.

Answers

It will take Sandra a total of 3 hours to drive 189 miles.

Can someone help me asap.

Answers

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

Pls help urgently extra points and mark brainlist

Answers

Answer: -30

Step-by-step explanation:

1 cm equals 10 mm how many millimeters does 2.5 cm equal label your answer ​

Answers

Answer: 25 mm

Explanation:

Multiply 2.5 by 10 since 1=10 and there are 2.5

2.5(10)
=25

Find the next three terms of the arithmetic sequence: 39,50,61,72

Answers

Answer:

83, 94, 105

Step-by-step explanation:

it's going up by 11

Answer:

83

Step-by-step explanation:

Its adding 11 each time

What is the solution set for this inequality?
15 < -3m -9

Answers

Answer:

15= -3m-9

15+9 = -3m

24 = -3m

-8= m

Therefore the m value is -8

The average age of a group of teachers and professors is 40. If the teachers and average 35 years and the professors 50 years, then what is the ratio of the number of teachers to professors. Accounting and finance uni

Answers

Answer:

2:1

Step-by-step explanation:

average age of both = 40

average age of teachers = 35

average age of professors = 50

35 + 35 + 50 = 120

120 / 3 = 40

Do you agree with Amur? Explain why.

Answers

no, because when u multiply 3.4x4 the answer is 13.6

Some one has to make two guitars and it took them 8 week now they have an order of 7 guitars how long will it take to finish the 7 guitars

Answers

Answer:

28 Weeks

Step-by-step explanation:

8÷2=4

4×7=28

28 Weeks

Simplify 6e - 9 + 10e

Answers

Answer:1

6

9

Step-by-step explanation:there you go

Which chart belong with the graph at the right?

Answers

Answer:

Chart nº 2

Step-by-step explanation:

Just match each points you will see which one is actually on the diagram!

Write a possible third degree polynomial with integer coefficient that have zeros: 1 2i, -4. Assume the leading coefficient to be 1

Answers

Answer:

The polynomial is:

[tex]p(x) = x^3 + 2x^2 - 3x + 20[/tex]

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros [tex]x_1, x_2, x_3[/tex] the following way:

[tex]p(x) = a(x - x_1)(x - x_2)(x - x_3)[/tex]

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

So

[tex]p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))[/tex]

[tex]p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)[/tex]

[tex]p(x) = ((x-1)^2 - (2i)^2)(x + 4)[/tex]

[tex]p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]p(x) = (x^2 - 2x + 1 + 4)(x + 4)[/tex]

[tex]p(x) = (x^2 - 2x + 5)(x + 4)[/tex]

[tex]p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20[/tex]

[tex]p(x) = x^3 + 2x^2 - 3x + 20[/tex]

the dot is in the middle
5) What exponent matches the expression? *
1/8 . 1/8

Answers

[tex]\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2[/tex]

first ral correct answer gets brainliest
What expression is equivalent to (-18) - 64n?

Answers

Answer:-2(9+32n)

Step-by-step explanation:

The function f(x) = –0.5x2 + 16x – 96 can be used to trace the path of a rocket, where the x-axis represents the ground and the y-axis measures the height of the rocket. The mathematical domain of the function is all real numbers.


The reasonable domain of the function is when 8 ≤ x ≤ x greater than or equal to eight but less than or equal to what value?

Answers

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

1/4x+2=-4 how do you do this step by step?​

Answers

Answer:

6.25 is the answer, I really dfon't know how to figure out which would be the procedure becuase I'm a little oxidated

estimate the sum 1.37+0.9. betwen answers like bettwen 3

Answers

the answer is 7.0897

Which of the following points is a solution of the inequality y < -Ixl?
(1, 0)
(1, -1)
(1, -2)

Answers

Answer:

(1, -2)

Easy Question for me

102 is 126% of what number

128.52
≈ 8.10
≈ 80.95
12.85

Answers

Step-by-step explanation:

102*100=10200

10200÷126=80.95

So the third one is correct

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