The relation R is shown below as a list of ordered
pairs.
R={(1, 4), (1, 3), (-1,3), (2, 15)}
Which ordered pairs prevent this relation from
being a function?
0 (1, 4) and (1,3), because they have the same
X-value
(1, 3) and (-1, 3), because they have the
same y-value

Given: An urn contains 11 balls, 3 white, 3 red, and 5 blue balls.

You win $1 for each red ball you select and lose a $1 for each white ball you select.

Let X be the number of times you win.

The total number of ways to select 2 balls (order does not matter) =

The number of ways so that two balls are white (and [tex] X=-2):^3C_2=3 [/tex]

[tex]P(X=-2)=\dfrac{3}{55}[/tex]

The number of ways so that two balls are red (and [tex] X=2):^3C_2=3 [/tex]

[tex]P(X=2)=\dfrac{3}{55}[/tex]

The number of ways so that one ball is red, one is white (and [tex] X=0):^3C_1\times^3C_1=9 [/tex]

The number of ways so that two balls are blue (and [tex] X=0 [/tex] ): [tex] ^5C_2=(5 \cdot 4) / 2=10 [/tex]

i.e. [tex]P(X=0)=\dfrac{10+9}{55}=\dfrac{19}{55}[/tex]

The number of ways so that one ball is blue, one is white (and [tex] X=-1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]

[tex]P(X=-1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]

The number of ways so that one ball is blue, one is red (and [tex] X=1 [/tex] ): [tex] ^5C_1\times^3C_1=15 [/tex]

[tex]P(X=1)=\dfrac{15}{55} =\dfrac{3}{11}[/tex]

Thus, the probability mass function (p.m.f.) of X would be ( in attachment) :

Answer:

The answer is option B.

g(x) = - x²

Hope this helps you

Answer:

Not reject null hypothesis since the p value is greater than 0.05

Step-by-step explanation:

We have the following:

z = (x ^ -m) / (sd / n ^ (1/2))

Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:

z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89

P (x> 8.2) = P (z> 1.89)  

P (x> 8.2) = 1 - P (z <1.89)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) = 0.0287

since this is a two tailed test, the area of 0.0287 must be doubled the p value

the p value = 0.05794

Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05

Answer:

monthly income=$900

the monthly income was multipled by 2

so, real income was, $900/2

=$ 450

so, $450×2=$900...

The real income is $400.

The term multiplication refers to the product of two or more than two numbers.

Let us assume that the real income is x.

We have to multiply the real income by 2 to get the monthly income of $900.

This implies that [tex]x\times 2=\$900[/tex],

Solving the above expression, we will get

[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]

So, the real income is $400.

Learn more about expression here-https://brainly.com/question/14083225

#SPJ2

Answer:

{2 pi/3}x units

Step-by-step explanation:

i got it right on edg

Answer: Option B

{2 pi/3}x units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

[tex]\sum x = 35[/tex]

[tex]\sum x^2 = 139[/tex]

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

[tex]\sum y = 24[/tex]

[tex]\sum y^2 = 72[/tex]

[tex]\sum xy = 55[/tex]

[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]

[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]

b) Linear correlation between Lyme disease and drowning deaths.

[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]

r = -15/ √(24*36.92)

r = -0.504

Answer:

  2.46% monthly pays the most

Step-by-step explanation:

The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...

  r' = (1 +r/n)^n -1

For 2.43% compounded daily, the effective annual rate is ...

  r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%

For 2.46% compounded monthly, the effective annual rate is ...

  r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%

For 2.47% compounded annually, the effective annual rate is ...

  r' = (1 +0.0247/1)^1 -1 = 2.47%

__

The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)

Answer:

Work done = 0 J

Step-by-step explanation:

work done= ∫ F. dr

                   = [tex]\int\limits^2_0 {x} \, dx[/tex] +  [tex]\int\limits^2_2 {x} \, dx[/tex]  + [tex]\int\limits^0_2 {x} \, dx[/tex]  + [tex]\int\limits^0_0 {x} \, dx[/tex]  +  [tex]\int\limits^0_0 {y} \, dy[/tex]  + [tex]\int\limits^5_0 {y} \, dy[/tex]  + [tex]\int\limits^5_5 {y} \, dy[/tex]  + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex]  + [tex]\int\limits^1_0 {z} \, dz[/tex]  + [tex]\int\limits^1_1 {z} \, dz[/tex]  + [tex]\int\limits^0_1 {z} \, dz[/tex]

Work done= x²/2 + y²/2 + z²/2

Applying integral limits for entire pathway

Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2

Work done = 0 J

Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).

[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]

Where [tex]x+4>=0[/tex] for x to be real.

So solve the inequality and you will obtain the domain:

[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].

Range is equal to the range of square root function,

[tex]y\in[0, +\infty)[/tex].

Hope this helps.

Answer:

Explained below.

Step-by-step explanation:

The information provided is:

n = 200

X = 106

α = 0.05

The sample proportion is:

[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]

(a)

A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.

The hypothesis is:

H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]

Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]

(b)

Compute the value of the test statistic:

[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]

   [tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]

Compute the p-value as follows:

[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]

*Use a z-table.

Thus, the p-value of the test is 0.198.

(c)

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.198 > α = 0.05

The null hypothesis will not be rejected.

The correct option is (A).

(d)

Conclusion:

There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.

Answer:

720 words

Step-by-step explanation:

There are 6 letters in the word SURVEY and no repeat letters. There are 6 choices for the first letter, 5 for the second and so on until we have 2 choices for the last letter so the answer is 6 * 5 * 4 * 3 * 2 = 720.

Answer:

(2, 6)

Step-by-step explanation:

The solution will be where the two lines intersect. From the graph, that point is (2, 6).

Answer:

The interior angle measure of a convex decagon is 144.

Step-by-step explanation:

The sum of the interior angle formula for a convex polygon is (n-2)180

where n is the number of sides.

A decagon has 10 sides.

10-2 = 8

8 times 180 = 1440

A decagon has 10 sides-10 angles.

To find the measure of each angle divide by 10.

1440/10=144

The interior angle measure of a convex decagon is 144.

Answer:

$4.25

Step-by-step explanation:

We can create a proportion to find how much 25 oz will cost:

[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]

We can cross multiply to find x.

16.4x = 69.75

x = 4.25

So, this means 25 ounces of cereal will be $4.25

Answer:

A) g(x) has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

[tex]f(x) =-x^{2}+4x-5[/tex]

Let us convert it to vertex form to find its vertex.

Taking - sign common:

[tex]f(x) =-(x^{2}-4x+5)[/tex]

Now, let us try to make it a whole square,

Writing 5 as 4+1:

[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

[tex]f (x) = a(x - h)^2 + k[/tex]

Comparing the equations we get:

a = -1 (Negative value of a means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

Hence, correct answer is:

A) g(x) has a greater absolute maximum.

Answer:

g(x) has a greater absolute maximum.

Answer:

A.

Step-by-step explanation:

A. i just took the test

Answer:

f(x)=-x+11

Step-by-step explanation:

Answer:

The answer is option A.

Step-by-step explanation:

To find angle C we use the cosine rule

That's

AB² = AC ² + CB ² - 2(AC)(CB)cos C

AC = 7.5

AB = 6

CB = 6.5

6² = 7.5² + 6.5² - 2(7.5)(6.5)cosC

36 = 56.25 + 42.25 - 97.5cos C

36 - 98.5 = - 97.5 cos C

-62.5 = - 97.5 cos C

cos C = -62.5 / - 97.5

C = cos ^-1 25/39

C = 50.1

The final answer is

Hope this helps you.

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4

Just division, fairly simple with or without a calculator.

Answer:

8

Step-by-step explanation:

Answer: B) 30 degrees

Step-by-step explanation:

Look at this in a series of equations.  The supplement of an angle(x) is 180 - x.  The complement of an angle(x) is 90 - x.  Thus the supplement of an angle(180 -x) is 30 degrees larger than twice its complement(90 - x).  Thus, 180 - x = 30 + 2(90 - x)

180 - x = 30 + 180 - 2x

180 - x = 210 - 2x

x = 30

Answer: B) 57 degrees

Step-by-step explanation:

4(90-x) = 180 - x + 9

360 - 4x = 180 - x + 9

360 - 4x = 189 - x

360 = 189 + 3x

171 = 3x

57 = x

Hope it helps <3

(If it does, please mark brainliest, so close to next rank :) )

Explanation:

Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).

Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.

The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.

Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.

Answer:

  -1

Step-by-step explanation:

In many cases, the simplified expression is not undefined at the point of interest.

  [tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]

This can be evaluated at x=1:

  -1/√1 = -1

Then, the limit is ...

  [tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]

__

A graph confirms this conclusion.

Answer:

[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex]

Step-by-step explanation:

This derivative consist in the sum of three functions: [tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex], [tex]g(x) = - x^{81}[/tex] and [tex]h(x) = - x^{2}[/tex]. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:

[tex]\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)][/tex]

Now, each derivative is found by applying the derivative rules when appropriate:

[tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex] Given

[tex]f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}}[/tex] (Derivative of a arcsine function/Chain rule)

[tex]g(x) = - x^{81}[/tex] Given

[tex]g'(x) = -81\cdot x^{80}[/tex] (Derivative of a power function)

[tex]h(x) = - x^{2}[/tex] Given

[tex]h'(x) = -2\cdot x[/tex] (Derivative of a power function)

[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex] (Derivative for a sum of functions/Result)

Answer: 10

Step-by-step explanation:

Step-by-step explanation:

10x-8y = 40 (1)

5x-2y= 40  (2)

multiply (2) by -2 then add to (1) to get rid of x

-10x+4y+10x-8y = 40+ (-80)

-4y = -40

4y = 40

y= 40/4

y = 10

the answer is 10

Answer:

hope it will help uh.....

Answer:  the first part is the area of the base:  πr²

You take the radius given, (or half of the diameter given) square that and multiply by the value of Pi, commonly 3.14 or 3.1416  

The second part is the area of the lateral surface. πrh That is the radius times π times the height of the cone.

Step-by-step explanation:

The formula as shown is confusing to me. It is better to show exponents with superscript if possible, or use the caret ^ [shift + 6] on a keyboard before the 2.

The second part is the area of the lateral surface. πrh That is the radius times π times the height of the cone. (using h instead of l seems less confusing as lower case L looks like 1 in some fonts) But people do use πrl  I realize.

Add the two surface areas together to get the total surface area of the cone.

Answer:

False

Step-by-step explanation:

A monomial is an expression that contains one term.

An example can be 45ab.

There can be more than one variable.

Answer:

This is not always true.

Step-by-step explanation:

By definition, a monomial is an algebraic expression containing one term. Thus, the expression 3xy contains only one term but 2 variables.

Answer:

1

Step-by-step explanation:

To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.