Find the slope of the line.

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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Answer:

40

Step-by-step explanation:

Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.

To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).

That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.

105 + 35 = 140

Now, let's subtract that from 180.

180 - 140 = 40

We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!

I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)

Okay, here we have this:

Let's take John's earnings as x and James's earnings as y, so we obtain the following:

x=y*1.25 (John earns 25% more than James, )

Now, let's clear "y":

y=1x/1.25

y=0.8x

So, finally we obtain that as John's earnings are x and James's earnings are equal to 0.8x, that is 20% less than John's earnings. This mean that the statement is true.

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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The car uses gas at a rate of 26 miles per gallon.

Distance refers to the measurement of how far apart or how much space exists between two objects or points. It can be measured in various units such as meters, kilometers, feet, miles, etc., and can be calculated using different methods depending on the context and purpose of the measurement.

To find the rate at which Lucy's car uses gas, we need to divide the distance traveled by the amount of gas used.

First, we need to convert the mixed number of distance traveled to an improper fraction:

19 1/2 = (2 * 19 + 1) / 2 = 39/2

Now we can divide the distance traveled by the amount of gas used:

Rate = Distance traveled / Amount of gas used

Rate = (39/2) / (3/4)

Reciprocal:

Rate = (39/2) * (4/3)

We can simplify this expression by canceling out the factor of 2 in the numerator and the denominator:

Rate = 39 * 2 / 3 = 26

Therefore, the car uses gas at a rate of 26 miles per gallon.

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Answer:

dddddd okaksy ogvurn

Step-by-step explanation:

d

Given

To solve, we will collect

Answer: x = 6

Step-by-step explanation:

18x - (8x - 7) = 67

18x - 8x + 7 = 67

10x + 7 = 67

10x = 60

x = 6

Answer:

The value of x is 6.

Step-by-step explanation:

Given equation,

→ 18x - (8x - 7) = 67

Now the value of x will be,

→ 18x - (8x - 7) = 67

→ 18x - 8x + 7 = 67

→ (10x) + 7 = 67

→ 10x = 67 - 7

→ 10x = 60

→ x = 60/10

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

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

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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\(2(4x + 3) + 4(3x - 1)\)

\( = (8x + 6) + (12x - 4)\)

\( = 8x + 6 + 12x - 4\)

\( = (8x + 12x) + (6 - 4)\)

\( = 20x + 2\)

Answer:

8x+6+12x-4= 0

20x+2= 0

20x=-2

20x/20= -2/20

x= -1/10

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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The size container that is the better buy is the 36 ounce container.

From the information given, it should be noted that the 24-ounce container of juice cost $6.48. This will be:

= Cost / Number of ounces

= $6.48 / 24

= $0.27

Also, a 36-ounce container of the same juice costs $9.36. The cost per ounce will be:

= $9.36 / 36

= $0.26.

The better buy is the 36 ounce container since it's cheaper.

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Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

Answer:

WOW yRRRRRR

Step-by-step explanation:

Complete question:

A state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.18.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 95% confidence level with an error of at most 0.02? Round your answer up to the next integer.

Answer:

1418

Step-by-step explanation:

Given:

Sample proportion = 0.18

Level of significance = 1 - 0.95 = 0.05

u.E = 0.02

Required:

Find the sample size.

To find the sample size, n, use tge formula:

\( n = \frac{(Z_a_/_2)^2 p(1 - p)}{u.E^2} \)

Using the Z table, \( Z_0_._0_5_/_2 \) = 1.96

Thus,

\( n = \frac{1.96^2 * 0.18(1 - 0.18)}{0.02^2} \)

\( n = 3.8451 * 0.1476}{0.0004} \)

\( n = 1417.55\)

Approximately 1418

Sample size woulb be 1418

Answer:

i really dont know this is hard hm

Step-by-step explanation:

Answer:

$122.9

Step-by-step explanation:

Given data

Principal= $114

Rate= 3.9%

Time= 2 years

The amount in the account is given as

A=P(1+rt)

substitute

A=114(1+0.039*2)

A=114(1+0.078)

A=114(1.078)

A=$122.9  

Answer

Number of possible outcomes for everything = 240 ways

Explanation

The number of possible outcomes can be calculated by taking each of these two groups.

First group contains 2 elements

Number of possible ways to pick the elements = 2! = 2 × 1 = 2 ways

Second group contains 5 elements

Number of possible ways to pick the elements = 5! = 5 × 4 × 3 × 2 × 1 = 120 ways

Number of possible outcomes for everything = 2! × 5! = 2 × 120 = 240 ways

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There are 3/20  pink tulips in the garden

By determining the percentage of the garden that is made up of pink tulips.

If 3/10 of the tulips are pink and tulips account for half of the garden, the percentage of the garden that is pink tulips is:

(3/10) x (1/2) = 3/20

So, 3/20 of the garden is pink tulips.

Hence, the answer is 3/20.

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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The volume of the cube will be 5.832 cubic inches.

The volume of a cube is given by the formula V = s³, where s is the length of one of its edges.

In this case, the length of one edge is given as 1.8 inches.

So, substituting s = 1.8 inches in the formula, we get:

V = s³ = 1.8³ = 5.832 cubic inches

Therefore, the volume of the cube is 5.832 cubic inches.

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The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

A. ABC is a dialtion of DEF

Answer:

$4.06 per gallon $4.06 x 7 = $28.42

Step-by-step explanation:

Answer:

C. 27.3%

Step-by-step explanation:

The total number of people who ordered a sundae is 22.

The number of those who got crushed candy is 6.

To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.

Thus, 6 is approximately 27.3% of 22.

In the algebraic term

The degree of it is the greatest degree of the variables

Since the degree of x is 6

Since the degree of y is 3

Since 6 > 3

Then the degree of the given term is 6

The answer is 6

bl

Answer:

a 6

Step-by-step explanation:

can i have brainlest

Answer:

Thew answer is "40 pounds".

Step-by-step explanation:

The  value of x pound is $5

It's mixed with 80 pound

Formula:

\(\text{Average price} = \frac{\text{Rate of both}}{\text{weight of both}}\)

Average price = 3

\(\to 3 = \frac{5\times x+ 2\times 80}{x+ 80}\)

\(\to 3 = \frac{5x+ 160}{x+80}\\\\\to 3(x+80) = 5x+ 160 \\\\\to 3x+240 = 5x+ 160 \\\\\to 240-160 = 5x-3x \\\\\to 80 = 2x \\\\\to 2x=80 \\\\\to x=\frac{80}{2} \\\\\to x= 40\)

The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.

It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.

Since it is given in the task content that 230 people sign the petition each day.

It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;

= 1000/230

= 4.3478 days.

Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.

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