Joe is playing a game with a regular die. If the number that turns up is
even, he will gain 5 times the number that comes up. If it is odd, he will
lose 10 times the number that comes
up. He tosses a 3. Express the
results as an integer.

Answers

Answer 1

The required solution will be -30 which is expressed as an integer.

To represent this in a general context, we may utilize functions that are referred to in terms of the number tossed.

We know that if the number he gets is an even number, he will get 5 times the number.

As a result, the function for when the integer x is even is f(x) = 5x.

If the number is an odd number, he will lose 10 times the number.

As a result, the function for when the integer x is odd is f(x)=-10x.

Finally, Joe tosses a 3, which is an odd integer, hence the function we will represent is f(x) = - 10x.

⇒ f(3) = -10(3) = -30

Thus, the required solution will be -30 which is expressed as an integer.

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Related Questions

Finding Angle Measures When Parallel Lines Are Cut By a Transversal

Answers

Answer:

<3, < 6, <7 are all 102,

<1, <4, <5 and <8 are all 78

Step-by-step explanation:

If you slide angles 1, 102, 3 qnd 4 down along p, they will fit perfectly over 5,6,7 and 8.  So if you find the top four angles, you have found the bottom 4 angles.

<3 is a vertical angle to 102 and vertical angles always have the same measurement.

Angles 1 and 4 are supplemental to 102.  That means that the two angles will add to 180.  180 - 102 = 78

40. a sample of size 100,000 is selected from a population with p 5 .75. a. what is the expected value of p? b. what is the standard error of p? c. show the sampling distribution of p. d. what does the sampling distribution of p show?

Answers

Answer are

a) The Excepted value (p-hat) of p is 0.57

b) The Standard error of p is 0.05

c) Sampling distribution of p is Normal distribution

d) E(p-hat) = 0.57 , σ(p-hat) = 0.05

Excepted value or "p-hat" is defined as the ratio of number of succes in any sample or event to the total the size of sample . It is also known as sample proportion.

P-hat = X/ N

we have given that,

Sample size (N) = 100

Probability of an event occuring (p) or population proportion = 0.57

The Excepted value of sample proportion i.e p-hat is equal to population proportion i.e p

a) so, excepted value of p = 0.57

b) Standard error of p-hat is equal to square roots of product of p and (1-p) divided by sample size .

Standard error of p- hat = √p(1-p)/n

= √0.57 × 0.43/100= 0.05

c) Sampling distribution of sample mean is normal distribution using central limit theorem.

d) Sampling distribution of p shows

E(p-hat) = 0.57

σ(p-hat) = 0.05

Hence, we get all the required values of excepted value of p , standard error of p , distribution of p.

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what is the goal of a confidence interval? select one: a. to create a larger sample b. to provide a range of values that are reasonable for the parameter of interest c. to determine if the data can refute an assumption about a parameter or population d. to give a strong statement about a statistic

Answers

The goal of a confidence interval is to provide a range of values that are reasonable for the parameter of interest. So the correct option is (A).

The goal of a confidence interval is to provide a range of values that is reasonable for the parameter of interest. The confidence interval is based on the sample data and the level of confidence. The level of confidence is the probability that the confidence interval contains the true value of the parameter.

The confidence interval is calculated using the sample mean, the sample standard deviation, and the level of confidence. The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. The margin of error is the product of the critical value and the standard error. The critical value is based on the level of confidence. The standard error is the standard deviation of the sampling distribution.

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What’s the answer to this ?

Answers

1. The measure of angle H is 79 degrees

2. The measure of angle G is 54 degrees

What is isosceles triangle?

An isosceles triangle is one that has two sides of equal length.

The angles opposite to equal sides are equal.

1. Given is isosceles triangle

∠H=∠O = x

sum of all interior angles of a triangle= 180 degrees

22+x+x=180

2x+22=180

2x=158

x=158/2=79

So, ∠H=79

2. Given is isosceles triangle

∠D=∠O = 63

Let ∠G=x

sum of all interior angles of a triangle= 180 degrees

63+63+x=180

x+126=180

x=180-126=54

So, ∠G=54

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SOMEONE ANSWER QUICKK. Use the picture attached to solve #1!!!

1. What patterns do you notice in the table? Use complete sentences

2. Explain the relationship between the number of sides of the polygon, and the number of non-overlapping triangles in the polygon.

3.Explain the relationship between the number of sides of the polygon and the sum of the interior angles. Use complete sentences.

Answers

1. The patterns regarding the polygons are given as follows:

The number of non-overlapping triangles on a polygon of n sides is of n - 2.The sum of the interior angles of a polygon of n sides is: (n - 2) x 180º.For regular polygons, the measures of each interior angle is: [(n - 2) x 180º]/n.The sum of the exterior angles of any polygon is: 360º.The measure of each exterior angles for each regular polygon is: 360º/n.

2. The relationship between the number of sides of the polygon, and the number of non-overlapping triangles in the polygon is:

The number of non-overlapping triangles in the polygon is two less than the number of sides.

3. The relationship between the number of sides of the polygon and the sum of the interior angles is:

The sum of the interval angles of a triangle is given by the multiplication of 180º and the number of non-overlapping triangles in the polygon.

How to obtain the patterns?

The patterns in the context of this problem are all obtained from the last row of the table, and they are all axioms for polynomial relations.

For item 2, the relationship is given by the third column of the last row, and for item 3, by the fourth column.

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Find the two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex]

Answers

The two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex] is -2(√2+1) and 2(√2-1).

In the given question we have to find the two x intercept of the equation.

The give equation is [tex]y=\frac{1}{2}(x+2)^2-4[/tex].

We can find the x intercept by putting y=0. Then solving the equation for x.

Now putting y=0 in the given equation.

0= [tex]\frac{1}{2}(x+2)^2-4[/tex]

Add 4 on both side, we get

[tex]\frac{1}{2}(x+2)^2[/tex] = 4

Multiply by 2 on both side, we get

[tex](x+2)^2[/tex] = 8

Taking square root on both side, we get

x+2 = √8

x+2 = ±2√2

Subtract 2 on both side we get

x=±2√2-2

Taking 2 common

x=2(±√2-1)

Now the values of x

x={2(-√2-1), 2(√2-1)}

x={-2(√2+1), 2(√2-1)}

Hence, the two x intercept of the equation [tex]y=\frac{1}{2}(x+2)^2-4[/tex] is -2(√2+1) and 2(√2-1).

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PLEASE HELP!!!
find the missing length indicated for each

Answers

Using the triangle proportionality theorem, the missing lengths that are indicated are:

1. 35

2. 14

3. 28

4. 18

What is the Triangle Proportionality Theorem?

The triangle proportionality theorem states that when a line is drawn to be parallel to any side of a triangle that it intersects two of the side of the triangle at two different points, then the two sides are divided proportionally or in the same ratio.

Apply the triangle proportionality theorem to find all the missing length that are indicated. Let the missing side be represented as x.

Problem 1:

x/28 = 15/12

x = (28)(15)/12

x = 35

Problem 2:

x/28 = 6/(18 - 6)

x/28 = 6/12

x/28 = 1/2

x = 28/2

x = 14

Problem 3:

x/35 = 12/(12 + 3)

x/35 = 12/15

x/35 = 4/5

x = (35)(4)/5

x = 28

Problem 4:

x/54 = 8/24

x/54 = 1/3

x = 54/3

x = 18

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The population of white-tailed deer i growing rapidly in the united tate. In 1905 the population wa approximately 5x10^5 and in 2000 the population wa approximately 2x10^7 how many time larger wa the population of white tailed deer in 2000 than it wa in 1905

Answers

The population of white tailed deer was increased by 40 times .

What are white tailed deer?

The medium-sized white-tailed deer is a native of North America, Central America, and South America as far south as Peru and Bolivia. It is often referred to as the white tail or Virginia deer.

Main body:

population of white tailed deer in 1905 = 5*10^5

population of white tailed deer in 2000 = 2*10^7

Population increase can be calculated by using simple division ,

calculating :

⇒ 2*10⁷/5*10⁵

⇒ 2*10⁽⁷⁻⁵⁾/ 5

⇒ 2*10²/ 5

⇒ 200/5

⇒ 40

Hence population increased by 40 times from 1905 to 2000 for white tailed deer.

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What is the correct form of scientific notation for 306 x 10^7
a.30.6 x 10^8


b. .306 x 10^10


c.
It is in the correct form!


d.3 x 10^9


e.3.06 x 10^9

Answers

The decimal place should be after only 1 digit so the answer is e

25 PTS!!! NEED ANSWER WITHIN 5 MINS!!!!!!
Select the correct answer.
Which line has a y-intercept of 2 and an x-intercept of -3?

Answers

Answer:

W

Step-by-step explanation:

It intercepts the y at 2 and x at -3

Answer:

W.

Step-by-step explanation:

The y-intercept of 2 can be found on the vertical line ( up and down ) and the x-intercept of -3 can be found on the horizontal line ( left to right )

Therefore the answer would be graph W.

Caho needed to get her computer fixed. She took it to the repair tore. The
technician at the tore worked on the computer for 5 hour and charged her
$102 for part. The total wa $627. Write and olve an equation which can be
ued to determine 2, the cot of the labor per hour.

Answers

Answer:

105

Step-by-step explanation:

627-102=525

525 divided by 5 is 105

find the annual salary of a person who is $835.50 per week and show working for the answer for this question

Answers

Answer:

43446

Step-by-step explanation:

52 weeks in an year

835.5*52

= 43446

Find both unit rates.


They paid $96.88 for 8 pizzas.


Question 1 options:

$12.11/pizza and about 0.08 pizza/dollar


A: $12.11 pizza/dollar and about $0.08/pizza


B: $96.88/pizza and about 8 pizzas/dollar

C: 8 pizzas/dollar and about $96.88/pizza

Answers

Answer:

A

Step-by-step explanation:

Amy made $154 for 11 hours of work
At the same rate, how many hours would she have to work to make $126?

Answers

Answer: 9 hours

Step-by-step explanation:

Amount of money/ amount of hours worked
154/11 = 14

$14 made per hour, so $126 divide by 14 would equal to how many hours worked to have a same rate of $14 per hour.

126/14 = 9

She would work 9 hours

please help
One side of a triangle is 1 inch longer than the shortest side and is 1 inch shorter than the longest side. The perimeter is 17 inches. Find the dimensions of the triangle.

Answers

Answer: [tex]4\frac{2}{3} in;[/tex]  [tex]5\frac{2}{3} in;[/tex]  [tex]6\frac{2}{3} in[/tex]

Solve tan 9°
=x/2.6
Give your answer to 2 d.p.

Answers

Answer:

x= 0.41

Step-by-step explanation:

tan 9° =[tex]\frac{x}{2.6}[/tex]

x= 2.6 tan9°  (cross multiply)

x= 0.41          (solve trignomatic function)

Which equation is a point slope form equation for line AB?
A. y−2=2(x+2)
B. y−2=−2(x+6)
C. y−6=−2(x+2)
D. y−2=−2(x+2)

Answers

The equation of the line in point slope form is (c) y - 6 = -2(x + 2)

How to determine the line equation?

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (2, -2) and (-2, 6)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (2, -2) and (-2, 6)

Substitute the known values in the above equation

So, we have the following equation

m = (6 + 2)/(-2 - 2)

Evaluate

m = -2

The equation of a line can be represented as

y  - Y = m(x - X)

Where

Slope = m = -2

(X, Y) = (-2, 6)

So, we have

y - 6 = -2(x + 2)

Hence, the line has an equation of y - 6 = -2(x + 2)

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In math class ,60 percent of the student are male.There are 30 students in the class.How many students are males?

Answers

There are 18 male students. Multiple .6 by 30.

Use mental math to solve the equation.
4.
Z
= _5 (1 point)
-12

07
O-60
O-17
O 60

Answers

Using cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.

The given equation is -

[tex]\frac{z}{-12}=-5[/tex]

We have to solve this equation.

Now,

[tex]\frac{z}{-12}=-5\\[/tex]

We have to use cross multiplication method to solve the given equation.

[tex]\frac{z}{-12}=-5\\\\= > z= (-5) (-12)\\= > z = 60[/tex]

Thus, by solving through cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.

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what operation appears to be "flipping" the sign?

Answers

in order to flip the sign u need to multiply or divide

An actual distance of 50km corresponds to 4 cm on the map

Answers

Answer:

Incomplete question.

Step-by-step explanation:

4 cm = 50 km

1 cm = 50/4 = 12.5 km

Use above ratio or

50 km = 4 cm

1 km = 4/50 = 0.08 cm

Supplemental Activities - Ch 1
Steps to solve an inequality Active
Prompt
What are the steps in solving the below inequality?
2x - 3 > 15

Answers

x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6 or in interval notation [-9,6]

To find out what are the steps in solving the below inequality:

Given equation is 2x - 3 > 15

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

−15≤2x-3≤15

First, subtract 3  from each segment of the system of equations to isolate the x term while keeping the system balanced:

−15−3≤2x-3−3≤15−3

−18≤2x-6≤12

−18≤2x-6≤12

Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

[tex]-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}[/tex]

-9 [tex]\leq[/tex] x [tex]\leq[/tex] 6

or

x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6

or in interval notation [-9,6]

on the horizontal axis.

The lines will be a solid line because the inequality operators contain "or equal to" clauses.

We will shade between the lines to show the interval:

Hence the steps to solve an inequality has been show

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4 units squares each 5/7

Answers

Question:

4 unit squares each have 5/7 of their area shaded. What is the total area that is shaded?

The total area that is shaded=20/7  unit squares

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

The total area= 4*(5/7)=20/7

This cannot be simplified any more than it is

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Solve four-sixths minus three-fifths equals

Answers

Answer:

D 1/15 or 2/30

Step-by-step explanation:

Just make sure your subtracting and making sure that the answer choices don't throw you off, reduce all of the answers

Answer:

2/30

Step-by-step explanation:

4/6-3/5

We have to find common denominator

30 is a common factor so we change both fractions to have a denominator of 30

4x5/6x5-3x6/5x6

20/30-18/30

Now we subtract numerators and keep denominators the same

2/30

Hopes this helps please mark brainliest

Can someone please help me? Thanks!!!
A triangle has a base length of 6ac² and a height 3 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.

A. 3,078 cm²

B. 5,994 cm²

C. 2,025 cm²

D. 11,988 cm²

Answers

Answer:C explanation: because

Henry showed all the steps he took to solve the equation.

4 (negative one-half x + 7) + 5 x = 15

Step
Simplified Expression
1
-Negative 2 x + 28 + 5 x = 15
2
3 x + 28 = 15
3
3 x = 15
4
x = 5

Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Answers

Answer:

Step 3 is wrong. If 3x+28=15, then 3x= 15-28

On a map, 1 inch represents a distance of 100 miles. Two towns are 6 inches apart on the map. What is the distance between the two towns?

Answers

Answer:

600 miles

Step-by-step explanation:

1 Inch = 100 Miles

6 Inches = 600 Miles

Gabrielle picked 5 5/6 pounds of berries. She divided them evenly among 7 containers. How many pounds of berries did Gabrielle put in each container?

Answers

The pounds of berries that Gabrielle put in each container, given the pounds of berries she picked, are  5/6 pounds

How to find the pounds of berries?

Gabrielle was able to pick 5 ⁵/₆ pounds of berries. First convert this to an improper fraction for easier calculations:

= 5 ⁵/₆

= ((6 x 5) + 5) / 6

= 35 / 6

The pounds of berries that went into each container is:

= Pounds of berries / Number of containers

= 35 / 6 ÷ 7

= 35 /6 x 1/7

= 35/42

= 5/6 pounds

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The midpoint of
AB
is M(-3, 2). If the coordinates of A are (−1,−3), what are the coordinates of B?

Answers

Answer:

AM=M-A

-3 -1. -2

2 -. -3. = 5

-3. -2. -5

2. +. 5. =. 7

There is one negative solution and two nonreal solutions to the equation x3 + 87 = 7x2 + x. What are the solutions?

3, 5 + 2i, 5 – 2i
3, –5 + 2i, –5 – 2i
–3, 5 + 2i, 5 – 2i
–3, –5 + 2i, –5 – 2i

Answers

The solution of the equation is -3, 5+2i, 5-2i

What is solution of equation?

The solution of an equation is the array of all values that, when replaced for unknowns, make an equation true. For equations requiring one unknown, raised to a power one, two basic algebra rules involving the additive property and the multiplicative property are used to decide its solutions.

given equation is [tex]x^3+87=7x^2+x[/tex]

we can write it as

[tex]x^3+7x^2+x+87=0[/tex]

solving this cubic equation, we get

(x+3)(x2-10x+29)=0

x = -3 is the first root of the equation.

x2-10x+29 = 0

x =(-b±√b2-4ac)/2

x =(10±√-16)/2

x =5±2i

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