Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval

Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

Step-by-step explanation:

DRAW VENN disgarm

say there are 100

33 - 9 = 24 study only Bio

16 - 9 = 7 study only chemistry

that is a total of 24 + 9 + 7= 40 that study at least one of them

so

100 - 40 = 60% play hockey instead

Answer:

7.47 seconds

Step-by-step explanation:

From the quadratic equation  the x coordinate of the vertex is

x = -b/(2a)

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

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

Answer:

hsjsm

Step-by-step explanation:

mmssdn jnhbxjs ẹnienbsd  sywb

Answer:

1008 letters were delivered on Monday

Step-by-step explanation:

Total mail received = 1344

1/6 were magazines

1/12 were packages

the rest were letters

We have to find the exact number of magazines and packages received

Magazines = 1/6 of the total mail

Magazines = 1/6 × 1344

= 224 magazines

Packages = 1/12 of the total mail

Packages = 1/12 × 1344

= 112 packages

So now that we know the exact number of packages and magazines

We add those two numbers and subtract the result from the total mail

And the remainder is the letters delivered

Magazines = 224

Packages = 112

Magazines + Packages

224+112 = 336

Therefore, the letters received = 1344 - 336

= 1008

Which means that 1008 letters were delivered

Answer: D. an increase in the number of categories as the data set becomes larger.

Step-by-step explanation:

When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:

• model performance suffers.

• rarely occurring categories may not be captured accurately.

• difficulty in differentiating among observations.

It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.

Answer:

x = 24 i think

Step-by-step explanation:

Answer:

25, 32

Step-by-step explanation:

4 - 11

7

11- 18

7

it is increasing by 7 so what is 25 plus 7?

32

Answer:

35

Step-by-step explanation:

AEC and AEB form a straight angle(180°)

180-40=140

AEV and AED are equal

140 divided by 4 = 35

Answer:

Ok Its not that hard actually

Step-by-step explanation:

but still too much for me plz give brainliest to meee

Answer:

21

Step-by-step explanation:

4x-2=3x+19

4x-3x=19+2

x=21

Answer:

x⁶

Step-by-step explanation:

[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]

Answer: A

Step-by-step explanation its easy

Answer:

C. fraction 1 over 9 ft3

Step-by-step explanation:

Hope I helped!!

Answer:

a_5 = 1,500

Step-by-step explanation:

1. Determine the given of the problem.  

       a_n – unknown sequence  

        a_1 – 3/20  

        r – ((3⁄2)/(3⁄20)) = 10  

        n – 5  

2. Substitute the given to the formula of the geometric sequence.  

           a_n = a_1 r^(n-1)

           a_5 = (3/20) (10)^(5-1)

3. Solve the given problem.  

           a_5 = (3/20) (10)^(5-1)       - Subtract the exponent.  

           a_5 = (3/20) (10)^(4)          - Multiply 1/10 to the exponent.  

           a_5 = (3/20)(10000)          - Multiply it.  

           a_5 = (30000/20)             - Divide it.  

           a_5 = 1,500                       - Answer of the problem.

the answer is 1500

correct me if you want

Answer:

A

Step-by-step explanation:

m = Y2 - Y1/ X2 - X1

m= -7 - 5/ 4 - 10

m = -12/ -6

m = 2

y - y1 = m ( x - x1)

y - 5 = 2 (x - 10)

Answer:

[tex]y =-x[/tex] ---- critical point

local minima

Step-by-step explanation:

Given

[tex]f(x,y) = x^2 + y^2 + 2xy[/tex]

Required

Determine the critical point

Differentiate w.r.t x

[tex]f_x =2x + 2y[/tex]

Differentiate w.r.t y

[tex]f_y =2y + 2x[/tex]

Equate both to 0

[tex]2x + 2y =0[/tex]

[tex]2y =0-2x[/tex]

[tex]2y =-2x[/tex]

Divide by 2

[tex]y =-x[/tex] ----- in both equations

Hence:

The critical point is: [tex]y =-x[/tex]

Solving (b):

We have:

[tex]f_x =2x + 2y[/tex]

[tex]f_y =2y + 2x[/tex]

This is represented as:

[tex]D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right][/tex]

Calculate the determinant

[tex]|D| =2 * 2 -2 * 2[/tex]

[tex]|D| = 4-4[/tex]

[tex]|D| = 0[/tex]

The critical point is at local minima

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

Answer:

[tex]14\text{ and }16[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].

Therefore, we have the following equation:

[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]

Thus, the larger number is [tex]x+2=\boxed{16}[/tex]

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

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Answer:

8.5=161.50;h= 19 hours

Step-by-step explanation:

So its pretty easy all you have to do is multiply 8.5 x 19

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

Answer:

$678.83

Step-by-step explanation:

Given :

Principal, P = $600

Rate = 3.09% = 0.0309

Period, t = 4 years

Compounding times per period, n = 12 (monthly)

The compound interest formula :

A = P(1 + r/n)^nt

A = 600(1 + 0.0309/12)^(12*4)

A = 600(1 + 0.002575)^48

A = 600(1.002575)^48

A = 600 * 1.1313834

A = 678.83004

Worth in 4 years = $678.83

Answer:

you can prove that they are congruent if their angles are the same.

Answer:

Step-by-step explanation:

The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

The shape of a carpet is a semicircle.

from the given diagram, we get, the diameter = 14ft

now, we know that,

area of the semicircle = πr²/2

here, we have,

diameter = 14 ft

so, radius = 14/2 = 7 ft

so, area = π*7²

             = 153.94

a.) so, area of the semicircle = 76.97 ft^2

again,  

b) Janice wants to put a fringed border on all sides of the carpet,

so, the perimeter = π r + d

                            = 36ft

Hence, The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

To learn more on Area click:

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