Find two functions f and g such that (f O g) (x) =h(x) [tex]h(x) = (9x + 7)^{2} [/tex]

Find Two Functions F And G Such That (f O G) (x) =h(x) [tex]h(x) = (9x + 7)^{2} [/tex]

Answers

Answer 1

f(x) = x² and g(x) = 9x + 7

Explanation:

(fog) (x) = h(x)

h(x) = (9x + 7)²

To get the two functions, we need to understand that the function g(x) will be inserted in function f(x) to get (fog)(x)

g(x) = 9x + 7

This is the function that will be inserted into f(x)

Since we have a square, the function of f(x) will have a square

f(x) = x²

Putting both together, replace x with (9x + 7) in f(x)

(fog)(x) = (9x + 7)²

Hence, f(x) = x² and g(x) = 9x + 7


Related Questions

Write the equation of the circle centered at (−4,−2) that passes through (−15,19)

Answers

In this problem, we are going to find the formula for a circle from the center and a point on the circle. Let's begin by reviewing the standard form of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The values of h and k give us the center of the circle, (h,k). The value r is the radius. We can begin by substituting the values of h and k into our formula.

Since the center is at (-4, -2), we have:

[tex]\begin{gathered} (x-(-4))^2+(y-(-2))^2=r^2 \\ (x+4)^2+(y+2)^2=r^2 \end{gathered}[/tex]

Next, we can use the center and the given point on the circle to find the radius.

Recall that the radius is the distance from the center of a circle to a point on that circle. So, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let

[tex](x_1,y_1)=(-4,-2)[/tex]

and let

[tex](x_2,y_2)=(-15,19)[/tex]

Now we can substitute those values into the distance formula and simplify.

[tex]\begin{gathered} r=\sqrt{(-15-(-4))^2+(19-(-2))^2} \\ r=\sqrt{(-11)^2+(21)^2} \\ r=\sqrt{562} \end{gathered}[/tex]

Adding that to our equation, we have:

[tex]\begin{gathered} (x+4)^2+(y+2)^2=(\sqrt{562})^2 \\ (x+4)^2+(y+2)^2=562 \end{gathered}[/tex]

Lee Ann is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, five appetizers, and three desserts, but she doesn't not have time to cook. She can choose from 9 bottle drinks, 9 Frozen appetizers, and 12 prepared desserts at the supermarket. How many different ways can lie and pick up the food and drinks to serve at the bridal shower?

Answers

CombinatoryAnswer

2328480 ways

Explanation

We want to find out how many ways there are to select an item. The combination formula is a formula to find the number of ways of picking "r" items from a total of "n" items.

This number is given by:

[tex]undefined[/tex]

Fill in the table using this function rule.​

Answers

Answer:

-8, 2, 12, 22

Step-by-step explanation:

[tex]y = 5x+2\\y = 5(-2)+2\\y=-10+2\\y=-8[/tex]

[tex]y = 5x+2\\y = 5(0)+2\\y=0+2\\y=2[/tex]

[tex]y = 5x+2\\y = 5(2)+2\\y=10+2\\y=12[/tex]

[tex]y = 5x+2\\y = 5(4)+2\\y=20+2\\y=22[/tex]

How to find the (r) or difference in this scenario:
Aliens Away is a new video game where a player must eliminate a certain number of aliens on the screen by scaring them with an adorable house cat. When James plays the game, he eliminates 64 aliens in the first level and 216 aliens in the fourth level. If the number of aliens are destroyed in a geometric sequence from one level to the next, how many total aliens will James have wiped out by the end of the sixth level?

It is given that it is a geometric sequence, if I am not mistaken it is the explicit formula.

IF YOU COULD PLASE EXPLAIN:)

Answers

Total number of aliens James have wiped out by the end of the sixth level is 1330

The number of aliens eliminated in first level a = 64

The number of aliens eliminated in the fourth level = 216

The sequence is in geometric sequence

The nth term of the geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

The fourth term is 216

216  = [tex]64r^3[/tex]

[tex]r^{3}[/tex] = 216/64

r = 3/2

Then we have to find the total alien James killed by the end of sixth level

Sum of n terms = [tex]\frac{a(r^n-1)}{r-1}[/tex]

Substitute the values in the equation

= [tex]\frac{64(1.5^6-1)}{1.5-1}[/tex]

= 665/0.5

= 1330

Hence, total number of aliens James have wiped out by the end of the sixth level is 1330

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What is the first operation that should be performed to calculate (3 + 2) × 6÷5 - 4?

A) addition
B) division
C) subtraction
D) multiplication

Answers

Answer: A) addition

Step-by-step explanation:

because of BODMAS, you need to do the bracket first

addition is first
(3+2)

Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40
minutes on reading and math homework. How much longer did Sara spend on her homework than Mia?

Answers

Sara spent 15 minutes longer than (the difference is 15 min) Mia in her homework.

According to the question,

We have the following information:

Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40 minutes on reading and math homework.

So, it means that the total time spent by Sara in her homework is:

35+20 minutes

55 minutes

So, the differences between their time spent in her homework (will give us the more time taken by Sara) is:

Time spent by Sara in her homework-time spent by Mia in her homework

(55-40) minutes

15 minutes

Hence, Sara spent 15 more minutes than Mia.

To know more about difference here

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help meeeeeeeeee pleaseee !!!!!

Answers

The value of the composite function is: (f o g)(2) = 33.

How to Find the Value of a Composite Function?

To evaluate a composite function, take the following steps:

Step 1: Find the value of the inner function by substituting the value of x into the equation of the functionStep 2: Use the value of the output of the inner function as the input for the outer function and simplify to get the value of the composite function.

Given the following:

f(x) = x² - 3x + 5

g(x) = -2x

Therefore,

(f o g)(2) = f(g(2))

Find the value of the inner function g(2):

g(2) = -2(2)

g(2) = -4

Find f(g(2)) by substituting x = -4 into the function f(x) = x² - 3x + 5:

(f o g)(2) = f(g(2)) = (-4)² - 3(-4) + 5

= 16 + 12 + 5

(f o g)(2) = 33

Learn more about composite functions on:

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The points (1,7) and (7,5) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

[tex]y-7=-\dfrac{1}{3}(x-1)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

Define the points:

(x₁, y₁) = (1, 7)(x₂, y₂) = (7, 5)

Substitute the points into the slope formula:

[tex]\implies m=\dfrac{5-7}{7-1}=\dfrac{-2}{6}=-\dfrac{1}{3}[/tex]

Therefore, the slope of the line is -¹/₃.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-7=-\dfrac{1}{3}(x-1)[/tex]

Can anyone please help me with this fast? Thank you!

Answers

Answer:

Step-by-step explanation:

16. 4/16 1/16 1/16 or 6/16

17. 1/16 1/16 or 2/16

18. 7/16 1/16 2/16 or 10/16

19. 2/16

20 4/16 1/16 1/16 7/16 1/16 2/16 or 16/16=1

given g(x)= -12f(x+1)+7 and f(-4)=2 fill in the blanks round answers to 2 decimal points as needed g( )=

Answers

We know the value of f(-4), which is 2

Let's think about a value of x in which we can calculate the value of f(x+1) using the given information (it means x+1 has to be equal to -4)

x+1=-4

x=-4-1

x=-5

Now use this value to calculate g(x)

[tex]\begin{gathered} g(-5)=-12\cdot f(-5+1)+7 \\ g(-5)=-12\cdot f(-4)+7 \end{gathered}[/tex]

As we said, we already know the value of f(-4), use it to calculate g(-5)

[tex]\begin{gathered} g(-5)=-12\cdot2+7 \\ g(-5)=-24+7 \\ g(-5)=17 \end{gathered}[/tex]

Which points are on the graph of y = cot x? (Select all that apply)A. (/3 , √3/2)B. (/2 , 0)C. (0 , )D. (/4 , 1)E. ( , 0)

Answers

Solution:

The graph function is given below as

[tex]y=cotx[/tex]

The graph is given below as

Therefore,

The points on the graph are

[tex]\begin{gathered} \Rightarrow(\frac{\pi}{4},1) \\ \Rightarrow(\frac{\pi}{2},0) \end{gathered}[/tex]

OPTION B AND option D are the right answers

Solve the equation on the interval [0, 2\small \pi). Show all work. Do not use a calculator - use your unit circle!

Answers

SOLUTION

Write out the equation given

[tex]\cos ^2x+2\cos x-3=0[/tex]

Let

[tex]\text{Cosx}=P[/tex]

Then by substitution, we obtain the equation

[tex]p^2+2p-3=0[/tex]

Solve the quadractic equation using factor method

[tex]\begin{gathered} p^2+3p-p-3=0 \\ p(p+3)-1(p+3)=0 \\ (p-1)(p+3)=0 \end{gathered}[/tex]

Then we have

[tex]\begin{gathered} p-1=0,p+3=0 \\ \text{Then} \\ p=1,p=-3 \end{gathered}[/tex]

Recall that

[tex]\cos x=p[/tex]

Hence

[tex]\begin{gathered} \text{when p=1} \\ \cos x=1 \\ \text{Then } \\ x=\cos ^{-1}(1)=0 \\ \text{hence } \\ x=0 \end{gathered}[/tex]

Similarly,

[tex]\begin{gathered} \text{When p=-3} \\ \cos x=-3 \\ x=\cos ^{-1}(-3) \\ x=no\text{ solution} \end{gathered}[/tex]

Therefore x=0 is the only valid solution on the given interval [0,2π).

Answer; x=0

In the following expression, place a decimal point in the divisor and the dividend that is 4368÷6208 to create a new problem with the same answer as in question 11 that is 7 meters / 7

Answers

[tex]\frac{4368}{6208}=\frac{273}{388}=0.7036[/tex][tex]\frac{4368.0}{620.8}=\frac{1395}{194}\approx7[/tex]

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

436.8m -------------------> 62.08s

xm -------------------------->1s

Using cross multiplication:

[tex]\begin{gathered} \frac{436.8}{x}=\frac{62.08}{1} \\ \text{solve for x:} \\ x=\frac{436.8}{62.08} \\ x=7.036082474m \\ \end{gathered}[/tex]

write 2500g in appropriate prefix pls.​

Answers

Answer: 2.5kg

Step-by-step explanation:

I am assuming you mean to simplify it. So 2.5kg

1g=1000kg

2500/1000=2.5

Figure R = figure R". Describe a sequence of three transformations you canperform on figure R to show this. Show your work.

Answers

1) Rotate the figure 90º clockwise.

To rotate a figure 90º clockwise you have to perform the following transformation:

(x,y)→(y,-x)

So for each point of the figure you have to swich places between x and y.

And you have to multiply the x coordinate by -1.

R has 6 points:

(-4,-5)

(-7,-5)

(-7,-4)

(-5,-4)

(-6,-3)

(-2,-2)

First step: swich places between the coordinates of each point:

(x,y) → (y,x)

(-4,-5)→(-5,-4)

(-7,-5)→(-5,-7)

(-7,-4)→(-4,-7)

(-5,-4)→(-4,-5)

(-6,-3)→(-3,-6)

(-2,-2)→(-2,-2)

Second step, multiply the y-coordinate of the new set by -1

(y,x)→ (y,-x)

(-5,-4)→ (-5,4)

(-5,-7)→ (-5,7)

(-4,-7)→ (-4,7)

(-4,-5)→ (-4,5)

(-3,-6)→ (-3,6)

(-2,-2)→ (-2,2)

After the rotation, the figure moved from the 3rth quadrant to the 2nd quadrant.

p and q are roots of the equation 5x^2 - 7x +1. find to value of p^2 x q +q^2 x p and (p/q)+(q/p)

Answers

1) Let's find the roots of the equation: 5x² -7x +1

5x² -7x +1

2) Calling x_1 =p and x_2= q

Plugging them into the (p/q)+(q/p)​ expression, dividing the fractions. And then rationalizing it we'll have finally:

[tex]\frac{\frac{7+\sqrt[]{29}}{10}}{\frac{7-\sqrt[]{29}}{10}}+\frac{\frac{7-\sqrt[]{29}}{10}}{\frac{7+\sqrt[]{29}}{10}}=\frac{7+\sqrt[]{29}}{10}\cdot\frac{10}{7-\sqrt[]{29}}\text{ +}\frac{7-\sqrt[]{29}}{10}\cdot\frac{10}{7+\sqrt[]{29}}\text{ =}\frac{39}{5}[/tex]

I need help figuring out how to find sides a and b using the law of sine

Answers

Given the triangle ABC below.

a is the side facing b is the side facing

c is the side facing

We ara interested in calculating the value of side a and b.

To do this, we need to apply the "sine rule"

Sine rule state that

[tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]

Where

a is the side facing b is the side facing

c is the side facing

To calculate b,

B = 95 , b = ?

C = 48, c=100

[tex]\begin{gathered} \frac{b}{\sin B}=\frac{c}{\sin C} \\ \frac{b}{\sin 95}=\frac{100}{\sin \text{ 48}} \\ \\ b\text{ x sin48=100 x sin95} \\ b=\frac{100\text{ x sin95}}{\sin 48} \\ b=134.05 \end{gathered}[/tex]

b = 134 ( to nearest whole number)

To calculate a:

A = 37, a = ?

C = 48, c=100

[tex]\begin{gathered} \frac{a}{\sin A}=\frac{c}{\sin C} \\ \frac{a}{\sin37}=\frac{100}{\sin 48} \\ a\text{ x sin48 = 100 x sin37} \\ a=\frac{100\text{ x sin37}}{\sin 48} \\ a=80.98 \\ \end{gathered}[/tex]

a = 81 ( to the nearest whole number)

Find the measure of all the angles if m<2 = 76°

Answers

[tex]m2\measuredangle=76º[/tex]

By opposite angles we know that:

[tex]\begin{gathered} m1\measuredangle=m3\measuredangle \\ m2\measuredangle=m4\measuredangle \\ m5\measuredangle=m7\measuredangle \\ m8\measuredangle=m6\measuredangle \end{gathered}[/tex]

By corresponding angles we know that

[tex]\begin{gathered} m5\measuredangle=m1\measuredangle \\ m2\measuredangle=m6\measuredangle \\ m4\measuredangle=m8\measuredangle \\ m7\measuredangle=m3\measuredangle \end{gathered}[/tex]

by complementary angles we know that

[tex]\begin{gathered} m1\measuredangle+m2\measuredangle=180º \\ m1\measuredangle+76º=180º \\ m1\measuredangle=104º \end{gathered}[/tex]

Using the correspondence and opposite angles:

[tex]\begin{gathered} m1\measuredangle=m3\measuredangle=m5\measuredangle=m7\measuredangle=104º \\ m2\measuredangle=m4\measuredangle=m6\measuredangle=m8\measuredangle=76º \end{gathered}[/tex]

Find y if the line through (1, y) and (8, 2) has a slope of 3.

Answers

Answer: -19

Step-by-step explanation:

I think I am correct I am sorry if not.

Here is how I got it-

m = 21 / 7 = 3 / 1 = 3

Equation: y = 3x - 22

Answer:

y = -19

Step-by-step explanation:

Pre-Solving

We are given two points: (1, y) and (8,2).

We want to find the value of y if the slope of the line is 3.

Solving

The slope (m) can be calculated from two points using the formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We can label the values of the points to avoid any confusion and mistakes.

[tex]x_1 = 1\\y_1=y \\x_2=8\\y_2=2[/tex]

Substitute these values into the formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{2-y}{8-1}[/tex]

Remember that the slope of the line is 3, so we can substitute m as 3.

Replace m as 3.

[tex]3 = \frac{2-y}{8-1}[/tex]

Subtract.

[tex]3 = \frac{2-y}{7}[/tex]

Multiply both sides by 7.

[tex]3 * 7 = 7(\frac{2-y}{7})[/tex]

21 = 2-y

Subtract 2 from both sides.

19 = -y

Divide both sides by -1.

-19 = y

y = - 19.

Darell made a scale drawing of a shopping center. The parking lot is 4 centimeters wide in the drawing. The actual parking lot is 40 meters wide. What scale did Darell use?

Answers

Answer:

1 cm to 10 m

Step-by-step explanation:

4 cm to 40 m = 1 cm to 10 m

у A 5 8 106 С C m2l= m22= m23= mZ4= m25= needing quadrilaterals area

Answers

Angles in a quadrilaterals

The sum of all interior angles in a quadrilateral is 360°

Angle 5 is congruent with angle of 106°

Thus measure of 5 = 106°

These two angles add up to 212°. The remaining to reach 360° is:

360° - 212° = 148°

Angles 1, 2, 3, and 4 are congruent, thus the measure of each one of them is 148/4=37°. Thus

measure of 1 = measure of 2 = measure of 3 = measure of 4 = 37°

Enter a rule for each function f and g, and then compare their domains, ranges, slopes, and y-intercepts.The function f(x) has a slope of -2 and has a y-intercept of 3. The graph shows the function g(x).

Answers

The rule of the function f(x) is : -2x + 3

To find the rule of the function g(x) let's calculate the slope of the line

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-11-5}{4-0}=\frac{-16}{4}=-4[/tex]

The slope of the line is -4 and the intercept is 5 ( from the graph).

The rule of the function g(x) is : -4x + 5

The domains of f(x) and g(x) is All real numbers, because there is not any number of x which doesn't have a corresponding y-coordinate.

The ranges of f(x) and g(x) is All real numbers, because there is not any number of y which doesn't have a corresponding x-coordinate.

The slope of f(x) is greater than g(x) (-2 is greater than -4)

The y-intercept of f(x) is less than the y-intercept of g(x).(3 is less than 5)

I inserted a picture of the question, please give a VERY SHORT explanation

Answers

To multiply two polynomials we have to multiply each term in one polynomial by each term in the other polynomial, and then add the similar terms, as follows:

36. The widths of platinum samples manufactured at a factory are normally distributed, with a mean of 1.3 cm and a standard deviation of 0.3 cm. Find the z-scores that correspond to each of the following widths. Round your answers to the nearest hundredth, if necessary.(a) 1.7 cmz = (b) 0.9 cmz =

Answers

Part (a)

Using the formula for the z-scores and the information given, we have:

[tex]\begin{gathered} \text{ z-score=}\frac{\text{ data value }-\text{ mean}}{\text{ standard deviation }} \\ \text{ z-score=}\frac{1.7\text{ cm }-\text{ 1.3 cm}}{0.3\text{ cm}} \\ \text{ z-score=}\frac{0.4\text{ cm}}{0.3\text{ cm}}\text{ (Subtracting)} \\ \text{ z-score=1.33 (Dividing)} \\ \text{The z-score for 1.7 cm is 1.33 rounding to the nearest hundredth.} \end{gathered}[/tex]

Part (b)

Using the formula for the z-scores and the information given, we have:

[tex]\begin{gathered} \text{ z-score=}\frac{\text{ data value }-\text{ mean}}{\text{ standard deviation }} \\ \text{z-score=}\frac{\text{ 0.9 cm }-1.3\text{ cm}}{\text{ 0.3 }}\text{ (Replacing the values)} \\ \text{z-score=}\frac{\text{ }-0.4}{\text{ 0.3 }}\text{ (Subtracting)} \\ \text{ z-score= }-1.33 \\ \text{The z-score for 0.9 cm is -1.33 rounding to the nearest hundredth.} \end{gathered}[/tex]

Which is the factored form of 3a2 - 24a + 48?а. (За — 8)(а — 6)b. 3a - 4)(a 4)c. (3a - 16)(a − 3)d. 3( -8)(a -8)

Answers

Ok, so:

We're going to factor this expression:

3a² - 24a + 48

First of all, we multiply and divide by 3 all the expression, like this:

3(3a² - 24a + 48) / 3

Now, we can rewrite this to a new form:

( (3a)² - 24(3a) + 144) / 3

Then, we have to find two numbers, whose sum is equal to -24 and its multiplication is 144.

And also we distribute:

((3a - 12 ) ( 3a - 12 )) / 3

Notice that the numbers we're going to find should be inside the brackets.

So, these numbers are -12 and -12.

Now, we factor the number 3 in the expression:

(3(a-4)*3(a-4))/3

And we can cancel one "3".

Therefore, the factored form will be: 3 (a - 4) (a - 4)

So, the answer is B.

why is height more specific measure than 'size'?

Answers

When you talk about height, it is a more precise value that require a vertical distance from a referenced point. While 'size' is not specific whatsoever and it's more like a form of range.

There were eight questions on Emily's math quiz, and she missed two questions.Which of the following diagrams represents the percentage of Emily's accuracy onthe quiz?A. 50%B. 75%C. 30%D. 10%

Answers

There are eight quartion in the quiz and two question missed. So Emily solved six question of the quiz.

Determine the accuracy of Emily.

[tex]\frac{6}{8}\times100=75[/tex]

So Emily's accuracy is 75% and option B is correct.

in the diagram segment AD and AB are tangent to circle C solve for x

Answers

A property ostates that if two lines that are tangent to the circle intersect in an external point, they are congruent, i.e. they have the same length.

[tex]\begin{gathered} AD=AB \\ x^2+2=11 \end{gathered}[/tex]

From this expression we can determine the possible values of x. The first step is to equal the expression to zero

[tex]\begin{gathered} x^2+2-11=11-11 \\ x^2+2-11=0 \\ x^2-9 \end{gathered}[/tex]

The expression obtained is a quadratic equation, using the queadratic formula we can determine the possible values of x:

[tex]\begin{gathered} f(x)=ax^2+bx+c \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}[/tex]

For our expression

[tex]x^2+0x+-9[/tex]

The coefficients are

a=1

b=0

c=-9

Replace them in the formula

[tex]\begin{gathered} x=\frac{-0\pm\sqrt[]{0^2-4\cdot1\cdot(-9)}}{2\cdot1} \\ x=\frac{0\pm\sqrt[]{36}}{2} \\ x=\frac{0\pm6}{2} \end{gathered}[/tex]

Now calculate both possible values:

Positive:

[tex]\begin{gathered} x=\frac{+6}{2} \\ x=3 \end{gathered}[/tex]

Negative:

[tex]\begin{gathered} x=\frac{-6}{2} \\ x=-3 \end{gathered}[/tex]

The possible values of x are 3 and -3

determine the area of the shaded regionA. 6 square unitsB. 19 square unitsC.20 square unitsD. 25 square units

Answers

area of the square:

[tex]\begin{gathered} a=l\times l \\ a=5\times5 \\ a=25 \end{gathered}[/tex]

area of the rectangle

[tex]\begin{gathered} a=b\times h \\ a=3\times2 \\ a=6 \end{gathered}[/tex]

area of the shaded region:

area of the square - area of the rectangle = area of the shaded region

[tex]25-6=19[/tex]

answer: B 19 saquare units

200 lottery tickets are sold for $6 each. The person with the single winning ticket will get $71. What is the expected value for a ticket in this lottery?

Answers

Given:

200 lottery tickets are sold for $6 each.

The person with the single winning ticket will get $71.

So, The probability of winning = 1/200

The probability of losing =

[tex]undefined[/tex]

Answer: the expected value is. aroud 1-2

Step-by-step explanation:

Other Questions
The word root mal means "bad, badly." The suffix -ous means "having the quality of."In which sentence is the word malicious used correctly?We will meet, discuss the malicious, and then vote on the best option.Be careful not to malicious when you are talking with someone and hurt their feelings.The chef served a malicious meal, so the reviewer gave the restaurant five stars.Angry and defeated, he began spreading malicious lies about his opponent. Which of the following is a graph of a functionPlease help as soon as possible!!!!!! a logical grouping of computers that allow computer hosts to act as if they were attached to the same broadcast domain regardless of their physical location is known as: Which is an advantage of obtaining financing from a depository institution like a bank or credit union instead of the seller of a good or service? A. Depository institutions are more likely to offer no-cost financing. B. Depository institutions charge significantly lower interest rates than sellers. C. Obtaining financing from a depository institution makes it easier to comparison shop. D. It is more difficult to obtain financing from the seller than a depository institution. 1. Mrs. Reyes has Php100,000 cash invested in the business. She bought shop assets on account from Ace Furniture for Php 50,000.Questions:1. How much are the assets of the business?2. What is the amount of liabilities?3. How much is the owners equity?4. What is the accounting equation applicable for this?2. Kristan Repair Shop is owned by Cristina Tan. The business showed the following items:Cash Php 30,000Furniture and Equipment 10,000Delivery Van 100,000Accounts payable 40,000Determine the following:1. Total assets2. Total liabilities3. Owners equity4. Give the accounting equation applicable for this.3. Miss Adelaida Garcia invested asset amounting to Php160,000. She never bought anything on account.Determine the following:1. Assets2. Liabilities3. Owners equity4. Accounting equation applicable for this Mr. and Mrs. Hill hope to send their son to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $8500 to his education?Round your answer to the nearest cent. New York City mayor Michael made it his mission to reduce smoking in New York City. New York citys adult smoking rate is 13.2%. In a random sample of 3932 New York City residents, how many of those people smoke? Round to the nearest integer Who was the enlightenment thinker that thomas jefferson took many of his ideas in the declaration of indpendence from?. Which excerpt from the passage best states the authors' claim?"The English were getting richer because Africans were being turned into property."". . . while that link gave the English a stake in slavery, it also gave the antislavery forces an opportunity.""They created the most effective public relations campaign in history, inventing techniques that we use to this day."". . . Clarkson and others organized what we would call a boycott of 'the blood-sweetened beverage. 10. The data set below shows the mileage and selling prices of eight used cars of the same model. Mileage Price 21,000 $16,000 34,000 $11,000 41,000 $13,000 43,000 $14,000 65,000 $10,000 72,000 $12,000 76,000 $7,000 84,000 $7,000 (a) Calculate r , the correlation coefficient between these two variables. r = (b) Interpret the value of r : the association is positive or negative and (strong or moderate or weak or negligible) (c) Compute the regression line for predicting price from mileage. y = x + (d) Predict the price of a car with 30,000 miles. $ (e) Does the student with 43,000 miles on it have a higher or lower price than the one predicted by the regression line? Higher Lower Which of the following problems can only be solved with close cooperation of all countries in the world?A. Mining of minerals. B. Climate change.C. Use of fresh water. D. Fishing Bohrs ""planetary model"" states that electrons are in specific energy levels or ""orbits"" around the nucleus. Explain how this is not possible using heisenbergs uncertainty principle. most states run a lottery game in which players may select a three digit number, then later that day a televised drawing randomly selects a winning three digit number. suppose you select one three digit number and buy a ticket. what is the probability that your three digit number is an exact match with the winning three digit number? Convert the fraction to a decimal. Round the quotient to hundredths when necessary70 over 45 c. Where would the line y = - 2x + 1 lie? Again, justify your prediction and add the graph of this lineto your graph from part (b). I need help with this question please and thank you, Im not sure if Im correct kim is having trouble remembering everything her instructors cover during class. after filling out the vark questionnaire, she determines that she is a read/write learner. which strategy would best help kim retain what she learned in class? results of cesium chloride density gradient centrifugation on genomic dna often reveal relatively small peaks of dna that separate from the main genomic dna peak and consist of 1,000s of short repetitive sequences referred to as Please help if someone knows the answer will mark brainiest!!!A "foil" is a character whose attributes contrast with and therefore accentuate the main character's attributes. In "The Invalid's Story" the storm is a foil to the narrator in thatA. Both the storm and the narrator were visibly enraged throughout the story.B. The "bitter storm raged" on while the narrator presented himself as controlled and collected.C. the storm was subtle while the narrator was visibly enraged. Find the value of $x$ so that the ratios are equivalent. $3$ to $2$ and $x$ to $18$