What is the average rate of increase in enrollment
per
decade between 1950 and 2000?

What Is The Average Rate Of Increase In Enrollmentperdecade Between 1950 And 2000?

Answers

Answer 1

Given:

The graph that represents the enrollment for college R between 1950 and 2000.

To find:

The average rate of increase in enrollment per decade between 1950 and 2000?

Solution:

The average rate of change of function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

So, the average rate of increase in enrollment per year between 1950 and 2000 is:

[tex]m=\dfrac{f(2000)-f(1950)}{2000-1950}[/tex]

[tex]m=\dfrac{7-4}{50}[/tex]

[tex]m=\dfrac{3}{50}[/tex]

[tex]m=0.06[/tex]

It is given average rate of increase in enrollment per year between 1950 and 2000 is 0.06.

We need to find the average rate of increase in enrollment per decade between 1950 and 2000, So, multiply the average rate of increase in enrollment per year by 10.

[tex]0.06\times 10=0.6[/tex]

Therefore, the average rate of increase in enrollment per decade between 1950 and 2000 is 0.6.


Related Questions

Give the degree of the polynomial. -5-5x2wy4-y4x2-4w3

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

The degree of each term is the sum of the degrees of the variables in it.

Term, Degrees

-5, 0

-5x^2wy^4, x:2, w:1, y:4 -- term degree = 2+1+4 = 7

-y^4x^2, y:4, x:2 -- term degree = 4+2 = 6

-4w^3, w:3 -- term degree = 3

The highest of these is 7, so the degree of this polynomial is 7.

Banking fees have received much attention during the recent economic recession as bankslook for ways to recover from the crisis. A sample of 31 customers paid an average fee of $11.53 permonth on their checking accounts. Assume the population standard deviation is $1.50. Calculatethe margin of error for a 90% confidence interval for the mean banking fee.

Answers

Answer:

The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Sample of 31:

This means that [tex]n = 31[/tex]

Assume the population standard deviation is $1.50.

This means that [tex]\sigma = 1.5[/tex]

Calculate the margin of error for a 90% confidence interval for the mean banking fee.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.645\frac{1.5}{\sqrt{31}}[/tex]

[tex]M = 0.44[/tex]

The margin of error for a 90% confidence interval for the mean banking fee is of $0.44.

Mike has 18 goldfish and 24 silver fish in his aquarium what is the ratio of silverfish to total fish in the aquarium aquarium

Answers

Answer:

4:7

Step-by-step explanation:

18+24=total number of fish=42

silver fish amount= 24

therefore, ratio is 24:42=12:21=4:7

18:42 simplified 3:7

Michigan and Michigan State play each other this Saturday in football. Based on data from ESPN, Michigan averages 38.1 points per game with a SD of 8.4 and average 424 yards gained per game with a SD of 72. The correlation between points scored and yards gained is 0.68. Thus:

Average points = 38.1, SD= 8.4
Average yards gained = 424, SD= 72, r = 0.68

Required:
a. Find the slope of the regression equation for predicting number of points scored based on average yards gained per game). Report your answer to 4 decimal places.
b. If Michigan gains 500 yards in the game against Michigan State, what is Michigan's predicted points scored? Round to the nearest whole number.

Answers

Answer:

200000

by 10009

Step-by-step explanation:

nbebsbsbsbbsbsbsbsbBz

Q12 A baker wants to order enough flour for 10 loaves of bread weighing 750g each. She has a recipe for a 500g loaf of bread which needs 480g of flour. How many kilograms of flour does the baker need? Show your working​

Answers

Answer:

7.2kg of flour

Step-by-step explanation:

Total weight of bread = 10 x 750g

                                    = 7500g = 7.5kg

500g of bread = 480g of flour

0.5kg of bread = 0.48kg of flour

7.5kg of bread = 7.2kg of flour

Simplify: 6x^-2

a) 1/6x^2
b) 6/x^2
c) x^2/6
d) 1/36x^2

Answers

Answer:

The correct answer choice is option B. 6/x^2

Step-by-step explanation:

Answer:

6/x^2

Step-by-step explanation:

6 * x^-2

We know that a^ -b = 1/a^b

6 * 1/x^2

6/x^2

Select all the correct answers.
Consider functions fand g.
f(x) = 4(x – 3)2 + 6
g(x) = -2(x + 1)2 + 4
Which statements are true about the relationship between the functions?
The vertex of function gis 4 units to the left of the vertex of function f.
The vertex of function gis 2 units below the vertex of function f.
Function gopens in the same direction as function f.
Function gopens in the opposite direction of function f.
The vertex of function gis 2 units above the vertex of function fi
vertex of function gis 4 units to the right of the vertex of function f.

Answers

Answer:

Step-by-step explanation:

f(x) = 4(x-3)² + 6

Up-opening parabola with vertex (3, 6)

g(x) = -2(x+1)² + 4

Down-opening parabola with vertex (-1,4)

A. True

B. True

C. False

D. True

E. False

F. False

The correct statements are:

"The vertex of function g is 4 units to the left of the vertex of function f.""The vertex of function g is 2 units below the vertex of function f.""Function gopens in the opposite direction of function f."Which statements are true about te functions?

Here we have the two quadratic functions:

f(x) = 4*(x - 3)^2 + 6g(x) = -2*(x + 1)^2 + 4

The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:

f(3) = 0 + 6 = 6

So the vertex is (3, 6)

For g(x) we can see that the vertex is at x = -1, and:

g(-1) = 0 + 4

So the vertex is at (-1, 4)

Also, you can see that for g(x) and f(x) the leading coefficients are of different sign. Meaning that f(x) opens upwards and g(x) opens downwards.

Now that we know the two vertices, we can see that the correct options are:

"The vertex of function g is 4 units to the left of the vertex of function f."

"The vertex of function gis 2 units below the vertex of function f."

"Function gopens in the opposite direction of function f."

If you want to learn more about quadratic functions, you can read:

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Parallel Lines:
If the two lines are parallel and cut by a transversal line, what is the value of x?

Answers

Step-by-step explanation:

The corresponding angles theorem tells us that angles that correspond with each other are equal. In this case, B and C are corresponding angles.

(2x+8) = 60

2x = 60 - 8

2x = 52

x = 26


[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .​

Answers

9514 1404 393

Answer:

  0.02

Step-by-step explanation:

We assume your angle is in degrees:

  3cot(30°)/230 = 3√3/230 ≈ 0.02259

  ≈ 0.02 . . . . . rounded to 2 decimal places

__

This is a straightforward calculator problem. You may have to use one or another of the identities ...

  cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)

terms are there. Divide 51 into three parts in AP so that the largest exceeds the smallest by 10.​

Answers

The first three terms of the Arithmetic Progression are 12, 17 and 22.

For an ARITHMETIC PROGRESSION, AP ;

First term = a

Second term = a + d

Third term = a + 2d

Where, d = common difference ;

If third term exceeds smallest by 10 ;

Third term - first term

a + 2d - a = 10

2d = 10

d = 10/2

d = 5

Sum of the three terms :

a + (a + d) + a + 2d = 51

3a + 3d = 51

d = 5

3a + 3(5) = 51

3a + 15 = 51

3a = 51 - 15

3a = 36

a = 12

The AP would be:

First term, a = 12

Second term, a + d = 12 + 5 = 17

Third term = a + 2(d) = 12 + 10 = 22

Therefore , the first three terms of the AP are :

12, 17 and 22

Learn more about ARITHMETIC PROGRESSION :

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For each of the following equations, determine whether y is a function of x.

x= -7y^2
b. x = 1/4y
c. y^2 = 4x +9
d. y= 5x +8

Answers

9514 1404 393

Answer:

  a) not a function

  b) is a function

  c) not a function

  d) is a function

Step-by-step explanation:

If the graph passes the "vertical line test," then the relation is a function.

Choices B and D are linear equations. Their graph is a straight line, so each x-value corresponds to exactly one y-value. (Every non-vertical line passes the vertical line test.)

Choices A and C are equations of parabolas that open horizontally. It is easy to draw a vertical line that intersects the graph twice, so these relations fail the vertical line test.

__

  B, D -- functions

  A, C -- not functions

13. 30 of the 100 iPads in an inventory are known to be cracked. What
is the probability you randomly select one that is not cracked?

Answers

Answer:

7/10 or 0.7

Step-by-step explanation:

a probability is always the ratio of possible cases over all cases.

"all cases" here is 100.

possible cases are all iPads not cracked in the inventory = 70 (because 30 are cracked, that leaves 100-30=70 not cracked).

so, the probability to select a non-cracked unit is

70/100 or simplified 7/10 (or 0.7)

Work out m and c for the line: y = 6 x

Answers

Answer:

m = 6

c = 0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + c

m - slope c - y-intercept

Step-by-step explanation:

Step 1: Define

y = 6x

↓ Compare to Slope-Intercept Form

Slope m = 6

y-intercept c = 0

In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary. PLEASE HELP ASAP

Answers

Answer:

round answer is : 10 ft

Step-by-step explanation:

The explanation is in the picture!

Pls help and thanks

Answers

Answer:

A. -10

Step-by-step explanation:

Hi there!

We are given that the equation of line m is [tex]y=\frac{1}{10}x[/tex], and we want to find the slope of the line perpendicular to m

Perpendicular lines have slopes that multiply to get the result of -1

So let's find the slope of line m

The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept

As [tex]\frac{1}{10}[/tex] is in the place of where the slope should be, [tex]\frac{1}{10}[/tex] is the slope

Now find the slope of the perpendicular line with this formula:

[tex]m_1*m_2=-1[/tex]

[tex]m_1=\frac{1}{10}[/tex]

In that case,

[tex]\frac{1}{10}*m_2=-1[/tex]

Multiply both sides by 10

[tex]m_2=-10[/tex]

So the slope of the perpendicular line is -10, or A

Hope this helps!

What is the domain of f(x) = 5^x - 7?
O {x|x>-7)
O {XIX<-7}
O {x|x>0}
O {x | x is a real number}

Answers

Step-by-step explanation:

{ x| x all real numbers}

The domain of f(x) = 5x – 7 will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.

The domain of the function f(x) = 5ˣ - 7 is {x | x is a real number}.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

f(x) = 5ˣ - 7

The domain of the function is the set of all values of x such that the function is defined.

If we use any number for x, the function will be defined.

So the domain is the set of all real numbers.

So the correct option is last one {x | x is a real number}.

Hence the domain of the given function is {x | x is a real number}.

Learn more about Domain here :

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#SPJ5

The container that holds the water for the football team is 2/5 full. After pouring in 8 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answers

9514 1404 393

Answer:

  30 gallons

Step-by-step explanation:

Let c represent the capacity of the container. Then we have ...

  2/5c + 8 = 2/3c

Multiplying by 15 clears the fractions:

  6c +120 = 10c

  120 = 4c . . . . . . . . subtract 6c

  30 = c . . . . . . . . . . divide by 4

The container can hold 30 gallons.

_____

Additional comment

Often, you are told to "clear fractions" first when solving equations that involve them. Here, you can work directly with the fractions, if you like.

  8 = (2/3c) -(2/5c) = 4/15c . . . . . find the difference of the fractions

  8(15/4) = c = 30 . . . . . . . . . . . . . multiply by its inverse

look at the image below

Answers

Answer:

201.1 km²

Step-by-step explanation:

Surface area of a sphere= 4πr², where r = radius

so,

4πr²

= 4×π×4²

= 64π

= 201.1 km² (rounded to the nearest tenth)

Solve for x.
A. 9
B. 12
C. 1
D. 7

Answers

Answer:

9

Step-by-step explanation:

use Tangent-chord formula for finding the arc knowing E

x=1/2n

4x+19=1/2n

n=8x+38

both arcs = 360

28x-2+8x+38=360

x=9

Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?

Answers

Answer:

[tex]f(t)=6(1.12^t)[/tex]

Step-by-step explanation:

every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t

Kiểm tra 800 hạt gạo của một lô gạo người ta thấy có 750 hạt nguyên, 25 hạt tấm lớn, 25 hạt tấm bé. Hãy tìm khoảng tin cậy của tỉ lệ hạt nguyên của lô gạo nói trên với độ tin cậy 95%. Cho U(0,025) = 1,96, U(0,05) = 1,645.

Answers

Answer:

what is your Language I think it is Russian I don't understand Russian I only understand Nepali,English and Japanese

Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?

Answers

Ian has 48 candies. hope that helps!
Ian has 4 candies...........

Find the value of x and the value of y.
A. x = 4, y = 8
B.x=7, y=422
C. X= 4/3, y= 7.2
D. x= 73, y=412

Answers

Answer:

x = 7 and

y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

as you can see from the image we need to draw a line and when we do so we get a special right triangle with angle measures 90-45-45 and side lengths represented by a-a-a[tex]\sqrt{2}[/tex]

since the line we drew is parallel to the rectangle's length it's = 4 and so the number represented with a is also = 4

from there on we see x = 7 and y = 4[tex]\sqrt{2}[/tex]

Answer:

I can confirm, it is B! x=7 and y=4sqrt2

Step-by-step explanation:

edge

12/1,000 into decimal​

Answers

0.012 is the answer!

I hope this helps you out! :D

[tex]\\ \sf\longmapsto \dfrac{12}{1000}[/tex]

1000 has 3zeros hence decimal will go 3 points left

[tex]\\ \sf\longmapsto 0.012[/tex]

More:-

[tex]\\ \sf\longmapsto \dfrac{1}{10}=0.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{100}=0.01[/tex]

Triangle ABL is an isosceles triangle in circle A with a radius of 11, PL = 16, and ∠PAL = 93°. Find the area of the circle enclosed by line PL and arc PL. Show all work and round your answer to two decimal places.

Answers

The area bounded by a chord and arc it intercepts is known as a segment of a circle segment of a circle

The area of the circle enclosed by line PL and arc PL is approximately 37.62 square units

The reason the above value is correct is as follows:

The given parameters in the question are;

The radius of the circle, r = 11

The length of the chord PL = 16

The measure of angle ∠PAL = 93°

Required:

The area of part of the circle enclosed by chord PL and arc PL

Solution:

The shaded area of the given circle is the minor segment of the circle enclosed by line PL and arc PL

The area of a segment of a circle is given by the following formula;

Area of segment = Area of the sector - Area of the triangle

Area of segment = Area of minor sector APL - Area of triangle APL

Area of minor sector APL:

Area of a sector = (θ/360)×π·r²

Where;

r = The radius of the circle

θ = The angle of the sector of the circle

Plugging in the the values of r and θ, we get;

Area of the minor sector APL = (93°/360°) × π × 11² 98.2 square units

Area of Triangle APL:

Area of a triangle = (1/2) × Base length × Height

Therefore;

The area of ΔAPL = (1/2) × 16 × 11 × cos(93°/2) ≈ 60.58 square units

Required shaded area enclosed by line PL and arc PL:

Therefore, the area of shaded segment enclosed by line PL and arc PL is found as follows;

Area of the required segment PL (98.2 - 60.58) square units = 37.62 square units

The area of the circle enclosed by line PL and arc PL ≈ 37.62 square units

Learn more about the finding the area of a segment can be found here:

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The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.

The calculation of the area between line segment PL and circle arc PL is described below:

1) Calculation of the area of the circle arc.

2) Calculation of the area of the triangle.

3) Subtracting the area found in 2) from the area found in 1).

Step 1:

The area of a circle arc is determined by the following formula:

[tex]A_{ca} = \frac{\alpha\cdot \pi\cdot r^{2}}{360}[/tex] (1)

Where:

[tex]A_{ca}[/tex] - Area of the circle arc.

[tex]\alpha[/tex] - Arc angle, in sexagesimal degrees.

[tex]r[/tex] - Radius.

If we know that [tex]\alpha = 93^{\circ}[/tex] and [tex]r = 11[/tex], then the area of the circle arc is:

[tex]A_{ca} = \frac{93\cdot \pi\cdot 11^{2}}{360}[/tex]

[tex]A_{ca} \approx 98.201[/tex]

Step 2:

The area of the triangle is determined by Heron's formula:

[tex]A_{t} = \sqrt{s\cdot (s-l)\cdot (s-r)^{2}}[/tex] (2)

[tex]s = \frac{l + 2\cdot r}{2}[/tex]

Where:

[tex]A_{t}[/tex] - Area of the triangle.

[tex]r[/tex] - Radius.

[tex]l[/tex] - Length of the line segment PL.

If we know that [tex]l = 16[/tex] and [tex]r = 11[/tex], then the area of the triangle is:

[tex]s = \frac{16+2\cdot (11)}{2}[/tex]

[tex]s = 19[/tex]

[tex]A_{t} = \sqrt{19\cdot (19-16)\cdot (19-11)^{2}}[/tex]

[tex]A_{t} \approx 60.399[/tex]

Step 3:

And the area between the line segment PL and the circle arc PL is:

[tex]A_{s} = A_{ca}-A_{t}[/tex]

[tex]A_{s} = 98.201 - 60.399[/tex]

[tex]A_{s} = 37.802[/tex]

The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line
through the points rises, falls, is horizontal, or is vertical
(2,9) and (-2,9)

Answers

m= y2 - y1/ x2 - x1
m= 9-9/-2-2
m= 0/-4
m= 0

The slope is 0
Answer:

Slope = 0

Line = vertical

Step-by-step explanation:

How to solve for slope:

Step 1. Use the slope-formula given the two points

Slope = change in y/change in x

Slope = (y2 - y1)/(x2 - x1)

Points: (2, 9) & (-2, 9)

Step 2. Plug in the points into the formula

Slope = (9 - 9)/(-2 - 2)

Step 3. Subtract

Slope = 0/-4

Step 4. Simplify

Slope = 0
—————————————————
The slope is 0 and since the points are on the same y-coordinate, the line is vertical

Evaluate 3|x|+2x-1 when x = -5.

Answers

Answer:

4

Step-by-step explanation:

To start off, we are going to input our x value into our expression.

3|-5| + 2(-5) - 1

Next, we are going to find the absolute value (always positive) of -5 and multiply 2 and -5.

3(5) - 10 -1

Now, we will multiply 3 and 5.

15 - 10 -1

Finally, we are going to combine our like terms (15, -10, and -1)

4

So! Our final answer for this expression is 4!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

alicia bought 205 pink and purple beads. she lost 3/5 of the pink beads and was given another 15 purple beads.

Answers

Answer: sorry

Step-by-step explanation:

767u6777

From a club of 24 people, in how many ways can a group of four members be selected to attend a conference?

Answers

Answer:

255,024

Step-by-step explanation:

24 x 23 x 22 x 21

24 options for the first member

23 options for the second member

22 options for the third member

21 options for the last member

Which graph represents the function h(x)=x+0.5

Answers

Answer:

The correct graph of h(x) will be number 3 (c).

Step-by-step explanation:

We have the function h(x) = |x| + 0.5

On putting x=0, in the function h(x), we get,  

h(0) = |0| + 0.5

h(0)=0 + 0.5

h(0)=0.5

Thus, the point (0,0.5) lie on the graph of h(x).

The graph that represents the function h(x) is graph (c)

How to determine the graph?

The equation is given as:

h(x) = |x| + 0.5

The above equation is an absolute value function

An absolute value function is represented as:

h(x) = a|x + h| + k

Where:

Vertex = (h,k)

By comparing h(x) = a|x + h| + k and h(x) = |x| + 0.5, we have:

h = 0 and k = 0.5

So, the vertex is (0,0.5)

The graph that has a vertex of (0,0.5) is graph (c)

Hence, the graph that represents the function h(x) is graph (c)

Read more about absolute value function at:

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