w(x)=0.6x + 2 graph the linear function please I need to answer it soon

Answers

Answer 1

The graph of the linear function w(x) = 0.6x+2 has been plotted

The given linear function is

w(x) = 0.6x+2

The domain is the set of all possible inputs of the functions.

The range is the set of  all possible outputs of the functions

Here we will substitute some values of x that is the domain of the function and the result will be the range of the function

w(-3) = 0.6×-3+2

= 0.2

w(-2) = 0.6×-2+2

= 0.8

w(-1) = 0.6×-1+2

= 1.4

w(0)  = 0.6×0+2

= 2

w(1) = 0.6×1+2

= 2.6

w(2) = 0.6×2+2

= 3.2

w(3) = 0.6×3+2

= 3.8

Plot the graph using the domain and range

Hence, the graph of the linear function w(x) = 0.6x+2 has been plotted

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W(x)=0.6x + 2 Graph The Linear Function Please I Need To Answer It Soon

Related Questions

I need help I’m confused and stuck

Answers

Answer:

Step-by-step explanation:

x = -A x 2/7 + 10

Answer:

-3.5 (or -3.50); each cup of coffee is $3.50

Step-by-step explanation:

the slope of the function is what is in front of the x

that is

-3.50 or just -3.5

this means that each cup of coffee is $3.50

Evaluate the expression,g(m - 9) +5 if g = -4 and m = 3

Answers

[tex]\begin{gathered} g(m-9)+5 \\ \\ g=-4 \\ m=3 \end{gathered}[/tex]

To find the answer you substitute in the expression the g by -4 and the m by 3, as follow:

[tex]-4(3-9)+5[/tex]

To evaluate:

1. Make operations in parenthesis:

[tex]=-4(-6)+5[/tex]

2. Multiplication

[tex]=24+5[/tex]

3. Addition:

[tex]=29[/tex]

Enter values to complete the table below.

Answers

The slope of the equation, represented by the value of y/x for the given values of x and y, is 3/1, 3/1, 3.

What does slope in mathematics mean?

The slope of a line can be used to gauge how steep it is. Slope is theoretically determined as "rise over run" (change in y divided by change in x).

The slope is the ratio of the rise in height between two points to the fall in elevation between those same two points.

The x and y values are provided.

The equation's slope is shown by the ratio y/x.

if y = -3 and x = -1,

y/x = 3/1

if y = 3 and x = 1

y/x = 3/1

if y = 6 and x = 2

y/x = 6/2 = 3

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Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below.

5k – 6k + 2 – 9 = 0
–k – 7 = 0
–k = 7
k = 1/7
Analyze Lorena’s work to determine which statements are correct. Check all that apply.

Answers

Answer: K= -9

Step-by-step explanation:

5k−3(2k)−9=0

Multiply 3 and 2 to get 6.

5k−6k−9=0

Combine 5k and −6k to get −k.

−k−9=0

Add 9 to both sides. Anything plus zero gives itself.

−k=9

Multiply both sides by −1.

k=−9

(Hope this helps)

What are the solutions to x2 + 8x + 7 = 0?

x = –8 and x = –7
x = –7 and x = –1
x = 1 and x = 7
x = 7 and x = 8

Answers

The solutions for the quadratic equation x² + 8x + 7 = 0 is option B x = -7 and x = -1

Given,

The quadratic equation : x² + 8x + 7 = 0

We have to find the solutions for this quadratic equation using the quadratic formula.

Quadratic formula: [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Here,

a = 1, b = 8 and c = 7

Now,

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

= [tex]\frac{-8(+-)\sqrt{8^{2} -4(1)(7)} }{2(1)}[/tex]

= [tex]\frac{-8(+-)\sqrt{64-28} }{2}[/tex]

= (-8±√36)/2

= (-8±6)/2

Now,

Solve for

(-8 + 6) / 2 = -2/2 = -1

Solve for

(-8 - 6) / 2 = -14/2 = -7

That is,

The solutions for the quadratic equation x² + 8x + 7 = 0 is x = -1 and x = -7

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Solve each step of this problem

Answers

The cost is given as

[tex]10+0.5x[/tex]

Where x is the number of hours

The y-intercept is obtained from the graph as shown below

The value of the y-intercept is obtained to be 10

The y-intercept represents the value represents the fixed cost.

The slope of the cost is obtained from the cost function to be 0.5.

The slope represents the change in cost with respresent to time (hour).

Hence,

lank 1: 10

Blank 2: The fixed cost

Blank 3: 0.5

Blank 4: Change in cost or charge with respect to time used in hours

Blank 5:

[tex]C=10+0.5h[/tex]

Answer:

donde están lo calisado los continentes

Find a formula for the exponential function passing through the points (-1,5/4) and (3,320).

Answers

[tex]{\Large \begin{array}{llll} y = ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=-1\\ y=\frac{5}{4} \end{cases}\implies \cfrac{5}{4}=ab^{-1}\implies \cfrac{5}{4}=\cfrac{a}{b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} x=3\\ y = 320 \end{cases}\implies 320=ab^3\implies 320=ab^{4-1}\implies 320=ab^4 b^{-1} \\\\\\ 320=ab^4\cdot \cfrac{1}{b}\implies \stackrel{\textit{substituting from the previous equation}}{320=\cfrac{a}{b}b^4\implies 320=\cfrac{5}{4}b^4}\implies 320\cdot \cfrac{4}{5}=b^4 \\\\\\ 256=b^4\implies \sqrt[4]{256}=b\implies \boxed{4=b} \\\\\\ \cfrac{5}{4}=\cfrac{a}{b}\implies \cfrac{5}{4}=\cfrac{a}{4}\implies \boxed{5=a}~\hfill {\Large \begin{array}{llll} y =5(4)^x \end{array}}[/tex]

5. Each term in the second row is deter- mined by the function y=2x-1. 2 4 5 3 7 9 What number belongs in the shaded box? X y 1 1 3 5 12​

Answers

Answer:

23

Step-by-step explanation:

12 * 2= 24

24-1= 23

x + y = 12 x - y = 2

Answers

Answer:

x = 7

y = 5

(7, 5)

Step-by-step explanation:

From the way, this question looks I'm going to assume substitution.

x + y = 12

x - y = 2

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

2x = 14

÷2   ÷2

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

x = 7

x + y = 12

7 + y = 12

-7          -7

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

y = 5

I hope this helps!

Hello? Can someone help me with this please?The coffee preferences of 100 people were recorded in a survey.What proportion of the circle (in degrees) is represented by the espresso segment?

Answers

Recall that a whole circle is equal to 360°.

Espresso accounts for 5 out of 100 people surveyed.

Therefore,

[tex]\begin{gathered} 360\degree\times\frac{5}{100} \\ =360\degree\times0.05 \\ =18\degree \end{gathered}[/tex]

The proportion of the circle that is represented by the espresso segment is 18°.

state where the function is continuous, discontuous and the type of discontinuity for each

Answers

[tex]f(x)=\begin{cases}\frac{x}{x-2};x<2 \\ 6;2\leq x\leq6 \\ \frac{x-2}{x^2-6x+8};x>6\end{cases}[/tex]

For x = 2

[tex]\lim _{x->2^-}(\frac{x}{x-2})=-\infty[/tex][tex]\begin{gathered} \lim _{x->2^+}(6)=6 \\ \end{gathered}[/tex]

Since:

[tex]\lim _{x->2^+}f(x)\ne\lim _{x->2^-}f(x)[/tex]

The function is discontinuous at x = 2. Besides since the function has a vertical asymptote on one of the sides, we can conclude it is a infinite discontinuity.

For x = 6:

[tex]\lim _{x->6^-}6=6[/tex][tex]\lim _{x->6^+}\frac{x-2}{x^2-6x+8}=\lim _{x->6^+}\frac{x-2}{(x-2)(x-4)}=\lim _{x->6^+}\frac{1}{x-4}=\frac{1}{2}[/tex]

Since:

[tex]\lim _{x->6^+}f(x)\ne\lim _{x->6^-}f(x)[/tex]

The function is discontinuous at x = 6, at this point the function has a jump discontinuity

identify the maxima and minima and intervals on which the function is decreasing and increasing

Answers

Solution

From the given graph,

The maxima is

[tex](1,-1)[/tex]

The minima isThe inetrev

[tex](7,-19)[/tex]

aterval inwh which the function is increasing is

[tex](-\infty,1)\cup(7,\infty)[/tex]

dec

[tex](1,7)[/tex]

◆ Rewrite the fractions as sixths. 1/2 + 1/3= _/6 + _/6​

Answers

Answer: 1/2 + 1/3 = 3/6 + 2/6

Step-by-step explanation: you multiply 1/2 by 3/3 (1 x 3 and 2 x 3), which gives you 3/6, and then multiply 1/3 by 2/2 (1 x 2 and 3 x 2), which gives you 2/6.

hope this helps! :)

A B C D Given that ABCD and AD - CB, how can you prove that A ABD ACDB? (G.6)(1 point) O A. Side-Side-Angle (SSA) O B. Angle-Side-Angle (ASA) C. Side-Side-Side (SSS) O D. Side-Angle-Side (SAS)

Answers

Answer

Option C is correct.

Side-Side-Side (SSS)

Explanation

The key to proving that two triangles are similar or congruent is to prove that three of either side lengths or angles are congrunet, similar or the same.

For the figure given, we have already been told that

Side AB = Side CD

Side AD = Side CB

Since the two triangles share a similar side in BD, we can complete this by saying

Side BD = Side BD

Side AB = Side CD

Side AD = Side CB

Side BD = Side BD

So, three of the sides of the triangles are equal or congruent.

Hope this Helps!!!

Given: f (x) = 2x² − 3x+5 and g(x)=x-4, find (f+g)(x) * help

Answers

The value of (f+g)(x) is c(x) = 2x² + (-2)x + 1.

How can we add linear functions?
Addition of two individual functions, a(x) and b(x); linearly, results in the formation of the functional addition, c(x) of the two functions, such as
c(x) = a(x) + b(x) = (a+b)(x) – (i)
Domain of a quadratic equation:
The domain of a quadratic function f(x) is the set of x-values for which the function is defined, and the range is the set of all the output values, as is the case with any function (values of f). Any x is a valid input for quadratic functions because their domain is typically the entire real line. Generally, for a quadratic equation the domain goes from (-∞ ,∞ ).

Given, f(x)= 2x² - 3x + 5 and  g(x)= x - 4
Let, y = c(x) denote the value of the function (f+g)(x).
Here, following available literature,
c(x) = (f+g)(x) = f(x) + g(x)   [Using (i)]
c(x) = (2x² - 3x + 5)+(x - 4) = 2x² - 3x + 5 + x - 4  = 2x² + (-2)x + 1
Therefore, y = c(x) = 2x² + (-2)x + 1 is the value of (f+g)(x).

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What value of n makes the equation true?
(2x9y") (4x²,10)-8x^11,20
=

Answers

In the equation [tex](2x^{9} y^{n})(4x^{2}y^{10}) = (8x^{11}y^{20})[/tex] value of n = 10

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6.

[tex](2x^{9} y^{n})(4x^{2}y^{10}) = (8x^{11}y^{20})[/tex]

exponents multiplied with the same base: am * an = a{m + n}

On the powers of x, use the Rule of Multiplying Exponents.

⇒ x⁹ * x²  = x⁹⁺² = x¹¹

The powers of y operate similarly.

⇒ [tex]y^{n} * y^{10} = y^{n + 10} = y^{20}[/tex]

Since y¹⁰⁺¹⁰ = y²⁰

Therefore in the given equation, the value of n = 10

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For the function ​f(x)=x2−9​, find
​(​a)​ f(x+​h),
​(​b)​ f(x+​h)−​f(x), and
​(​c) f(x+h)−f(x) h

​(​a)​ f(x+​h)=

Answers

The value of f(x+​h) is x² + 2xh + h² - 9, the value of f(x+​h)−​f(x) is 2xh + h², and the value of (f(x+h)−f(x))/h is 2x + h.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The function:

f(x) = x² - 9

(a) f(x + h)

f(x + h) = (x + h)² - 9

f(x + h) = x² + 2xh + h² - 9

​(​b)​ f(x+​h)−​f(x)

= x² + 2xh + h² - 9 - (x² - 9)

f(x+​h)−​f(x)  = 2xh + h²

​(​c) (f(x+h)−f(x))/h

= (2xh + h²)/h

= 2x + h

Thus, the value of f(x+​h) is x² + 2xh + h² - 9, the value of f(x+​h)−​f(x) is 2xh + h², and the value of (f(x+h)−f(x))/h is 2x + h.

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Please tell me the answer and how you got the answer (AKA How you solved it) And the first person to give me the correct answer gets marked (Due In 3.5 Minutes)
• Thanks

Answers

Step-by-step explanation:

the range is the interval or set of all valid y (functional result) values.

we see that y goes continuously through every value between +5 (we see no y values bigger than that) and -5 (we see no y values lower than that).

the filled dots also tell us that the end points would be included (if this would be a necessary information - it is not, because the curve reaches +5 and -5 also in between).

so, the range is

-5 <= y <= +5

in what quadrant l ll lll lv does the point 8,-9 lie?

Answers

The point lie in Quadrant IV (8 , -9).

Quadrant in coordinate geometry is divided into four parts which is called Quadrants.

Quadrants I (x, y)Quadrants II (-x, y)Quadrants III (-x, -y)Quadrants IV (x, -y)

And, To find the in which quadrant does point (8, -9) lie ?

Now According to the above explanation is that:

We have, Point is (8, -9)

Thus, we can clearly see that

This point is lie in Quadrant IV (8 , -9).

Hence, The point lie in Quadrant IV (8 , -9).

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The perimeter of the triangle below is 68 units. Find the value of y

Answers

Y=9

Since we are talking about perimeter add all of the sides together and set them equal to the total creating the equation 68=3y+y-1+4y-3. Combine like terms and you get 68=8y-4. From here you can use inverse operations to solve for the value of y. So add 4 to both sides and you get 72=8y (-4 and +4 cancel out). Finally divide both sides by 8 and you are left with 9=y.

Always double check your work:
3(9)+(9)-1+4(9)-3=68
27+8+33=68
68=68

Simplify to the fullest;
[tex]{ \rm{ \frac{dy}{dx} + 2x + 1 = 2 }}[/tex]

Answers

Answer:

[tex]{ \tt{ \frac{dy}{dx} + 2x + 1 = 2 }} \\ \\ { \tt{ \frac{dy}{dx} = - 2x + 1 }} \\ \\ { \tt{dy = ( - 2x + 1) \: dx}} \\ \\ { \tt{ \int dy = \int( - 2x + 1) \: dx}} \\ \\ { \tt{y = - {x}^{2} + x + c}} \\ \\ { \tt{y = - x(x + 1) + c}}[/tex]

Answer:

[tex]y=-x^2+x+\text{C}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{\text{d}y}{\text{d}x}+2x+1=2[/tex]

[tex]\text{Isolate $\dfrac{\text{d}y}{\text{d}x}$}:[/tex]

[tex]\implies \dfrac{\text{d}y}{\text{d}x}+2x+1-2x-1=2-2x-1[/tex]

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=-2x+1[/tex]

Multiply both sides by dx to get all the terms containing y on the left side, and all the terms containing x on the right side:

[tex]\implies \text{d}y=(-2x+1)\;\text{d}x[/tex]

Integrate both sides:

[tex]\implies \displaystyle \int 1\;\text{d}y=\int(-2x+1)\;\text{d}x[/tex]

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Integrate each term separately:

[tex]\implies \displaystyle \int 1\;\text{d}y=\int -2x\;\text{d}x+\int 1\;\text{d}x[/tex]

Take the constant outside the integral:

[tex]\implies \displaystyle \int 1\;\text{d}y=-2\int x\;\text{d}x+\int 1\;\text{d}x[/tex]

Integrate, using the rules given below:

[tex]\implies y=-2 \cdot \dfrac{1}{1+1}x^{(1+1)}+x+\text{C}[/tex]

[tex]\implies y=-x^2+x+\text{C}[/tex]

Integration rules:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\(where $n$ is any constant value)\end{minipage}}[/tex]

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is it f(2)=10 ? I don’t get number 2.

Answers

10

Step-by-step explanation:

f(2)=

3(2)+4

3x2+4

using PEMDAS multiplication comes first

6+4

=10

Answer:

f(2) = 10 and f(3) = 13

Step-by-step explanation:

In this context f(2) means "what is y when x equals 2?"  How about when x = 3?  So we plug the values into the equation and solve for f(x) - which is basically what we called "y" in algebra.

The measure of the vertex angle of an isosceles triangle is three times the measure of a base angle. Find the number of degrees in the measure of the vertex angle.

Answers

We will label the base angles of the triangle as "x".

[tex]\text{Base angle=x}[/tex]

Since the vertex angle is 3 times the measure of the base angle, the vertex angle will be equal to 3x:

[tex]\text{Vertex angle =3x}[/tex]

The following image represent the angles in the isosceles triangle:

Now we use the following property of triangles:

The sum of all of the internal angles in a triangle must be equal to 180°.

Thus, we add the angles and equal them to 180°

[tex]3x+x+x=180[/tex]

We combine the terms on the left:

[tex]5x=180[/tex]

And divide both sides by 5:

[tex]\begin{gathered} \frac{5x}{5}=\frac{180}{5} \\ x=36 \end{gathered}[/tex]

And since x=36, the vertex angle will be:

[tex]\text{vertex angle = 3x = 3(36)=108\degree}[/tex]

answer: 108°

Please help I’ll mark you as brainliest if correct !

Answers

For the given 14 digit credit card, the value of first letter A is found as 4.

What is defined as the arithmetic progression?An arithmetic progression (AP) is a succession in which the differences between each successive term are the same. In this type of progression, it is possible to derive a formula for the AP's nth term.

For the given question;

The formula for finding the sun of nth terms of the AP are-

Sn = n/2(a + l)

Where, Sn is the sum of all termsn is the total number of AP.a is the initial term.l is the last term.

From the given 14 digits credit card, consider initial 3 letters.

A,_, 8

The sum of three consecutive numbers is 18.

Thus, applying Sum formula of AP

Sn = n/2(a + l)

n = 3Sn = 18a = Al = 3

Put the values;

18 = 3/2(A + 8)

Simplifying;

3A + 24 = 36

A = 12/3

A = 4

Thus, the value of the first digit of the credit card is found as 4.

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18x-3y=-15
-6x+y=5
Solve by substitution

Answers

Answer:

consistent system with equation [tex]y=6x+5[/tex]

Step-by-step explanation:

[tex]18x-3y=-15[/tex],   [tex]-6x+y=5[/tex]

To solve by substitution, we have to isolate a variable in one of the equations. I will isolate y in the second equation.

[tex]-6x+y=5[/tex]

+6x           +6x

[tex]y=6x+5[/tex]

Next, substitute this y value for y in the first equation:

[tex]18x-3y=-15[/tex]

[tex]18x-3(6x+5)=-15[/tex]

and distribute.

[tex]18x-18x-15=-15[/tex]

[tex]-15=-15[/tex]

We are left with an equality of constants. This means that the system of equations is actually just one equation, meaning it has an infinite number of solvable points (this is sometimes called consistent). And, its equation is just what we solved for in the first step:

[tex]y=6x+5[/tex]

Rectangle ABCD is transformed into rectangle EFGH. Choose all the correct statements about the transformation below. CHOOSE ALL STATEMENTS THAT ARE CORRECT.


A. Rectangle ABCD is similar to rectangle EFGH

B. The scale factor of the dilation is 0.4

C. Rectangle ABCD is congruent to rectangle EFGH

D. The dilation is an enlargement

E. The dilation is a reduction

F. The scale factor of the dilation is 2.5

Answers

The correct options are,

A. Rectangle ABCD is similar to rectangle EFGH.

D. The dilation is an enlargement.

F. The scale factor of the dilation is 2.5.

The similarity criteria of rectangles are that their corresponding sides should be proportional to each other. The ratio of their corresponding length is equal to L = 25÷10, which gives L=2.5, and the ratio of their corresponding width is equal to W = 15÷6, which gives w = 2.5. Hence, both rectangles are similar.

The dilation is an enlargement because the size of the rectangle is increased by a scale factor of 2.5.

The scale factor of the dilation is the ratio of the sides, which is equal to 2.5.

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1 2 3 5 9 Find a number between and 10 Write your answer as an improper fraction and as a mixed number

Answers

In finding a number between 9/8 and 10/8, we can use the average of these two.

We can ensure that this number lies between this two.

[tex]Ave=\frac{1}{2}(a+b)[/tex]

where a and b are the two numbers

So we have :

[tex]\begin{gathered} Ave=\frac{1}{2}\times(\frac{9}{8}+\frac{10}{8}) \\ =\frac{9}{16}+\frac{10}{16} \\ =\frac{19}{16} \end{gathered}[/tex]

Therefore, one number that lies between 9/8 and 10/8 is :

[tex]\begin{gathered} \frac{19}{16} \\ or \\ 1\frac{3}{16} \end{gathered}[/tex]

11) BUSINESS Julian makes and sells wallets. He estimates that his income can be modeled by
y = 16x130, where x is the number of wallets he sells. He estimates that his costs to make
the wallets can be modeled by y = 8x + 150. How many wallets does Julian need to make in
order to break even?

Answers

The number of wallets does Julian need to make in order to break even are 35.

What are linear equation?

X 1, ldots, and x n are the variables, and display style b, a 1, ldots, and a n are the coefficients. In mathematics, a linear equation is an equation that can be written as x 1, ldots, and x n + a n + b = 0. Ax + By = C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y). frequently actual numbers. The first-degree equations are linear equations. The following is the equation for a straight line. Ax+by+c = 0, where a and b are both zeros, is the conventional form of a linear equation.

In order to "break even," his earnings and expenses have to be equal. The number of wallets (x) is represented in both equations. Simply put, you have to work out the equations in the system.

Both the given equation are equal to y

So,

16x - 130 = 8x + 150

16x - 8x = 150 + 130

x = 280/8

x = 35

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Blood types: The blood type O negative is called the "universal donor" type, because it is the only blood type that may safely be transfused into any person.
Therefore, when someone needs a transfusion in an emergency and their blood type cannot be determined, they are given type O negative blood. For this
reason, donors with this blood type are crucial to blood banks. Unfortunately, this blood type is fairly rare; according to the Red Cross, only 7% of U.S. residents
have type O negative blood. Assume that a blood bank has recruited 19 donors. Round the answers to four decimal places.
a) what is the probability that three or more of them have type O negative blood?
b) what is the probability that fewer than four of them have type O negative blood?
c) It (would/wouldn’t) be unusual if none of the donors had type O negative blood since the probability is __?

Answers

a) It is 0.1275 times more probability that fewer than five of them have type o negative blood.

b) The probability that less than five of them are type o negative blood types is 0.9933.

c) 0.2708 probability that there are no donors who have type O negative blood. It would not be odd to have no type o negative donors because this likelihood is higher than 0.05.

There are only two outcomes that can occur for any individual. Type o negative blood is either present or absent. Any other person has no effect on a person's likelihood of having type O negative blood. To answer this question, we thus employ the binomial probability distribution.

Binomial probability distribution

The probability of precisely x successes on n repeated trials is known as a binomial probability, and X can only have two possible outcomes.

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

Additionally, p is the probability that X will occur.

A whopping 7% of Americans have type o negative blood.

This means that P=0.07

18 donors.

This mean that n = 18

the probability that three or more of them have type o negative blood

Either less than three have, or at least three do. The sum of the probabilities of these events is 1. So

P(X<3) + P(X≥3)=1

We want P(X≥3)

So,

P(X≥3) = 1-P(X<3)

In which

P(X< 3)= P(X = 0)+P(X = 1)+P(X = 2) = 0.2708 + 0.3669 +0.2348 = 0.8725

P(X≥3) = 1-P(X<3) = 1- 0.8725=0.1275

It's 0.1275 times more likely that fewer than five of them have type O negative blood.

The probability that fewer than five of them have type o negative blood

P ( x < 5 )= P(X=0)+P(X=1)+P(X=3)+P(X=3)+P(X=4)

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

P(X=0)= [tex]C_{18,0(0.07)^{0}.(0.93)^{18} }= 0.2708[/tex]

P(X=1)=   [tex]C_{18,1(0.07)^{1}.(0.93)^{17} }= 0.3669[/tex]

P(X=2)= [tex]C_{18,2(0.07)^{2}.(0.93)^{16} }= 0.2348[/tex]

P(X=3)= [tex]C_{18,3(0.07)^{3}.(0.93)^{15} }= 0.0942[/tex]

P(X=4))= [tex]C_{18,4(0.07)^{4}.(0.93)^{14} }= 0.0266[/tex]

P(X < 5)=P(X=0)+P(X=1)+P(X=3)+P(X=3)+P(X=4)

0.2708+0.3669+0.2348+0.0942+0.0266=0.9933

Would it be unusual f none of the donors had type o negative blood

P(X=0)= [tex]C_{18,0(0.07)^{0}.(0.93)^{18} }= 0.2708[/tex]

Probability of having no type O negative blood donors is 0.2708. It would not be odd to have no type o negative donors because this likelihood is higher than 0.05.

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a figure is dilated by a scale factor of 3, if the origin is the center of dilation, what is the new vertex, a', if the old vertex was located. at A(3,4)?

Answers

A figure is dilated by a scale factor of 3 if the origin is the center of dilation, What is the new vertex, a', if the old vertex was located. at A(3,4)?​

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