Graph a line with a slope of 1/3 and a y-intercept of 1

The margin of error is ±9%, which means that the actual percentage of eighth graders who prefer going to a newer high school could be 9% higher or lower than the sample percentage of 58%. To find the range for the percentage of eighth graders who prefer going to a newer high school, we need to calculate both the highest and the lowest possible percentages:

Highest possible percentage: 58% + 9% = 67%

Lowest possible percentage: 58% - 9% = 49%

Therefore, the range for the percentage of eighth graders who prefer going to a newer high school is 49% to 67%.

Answer:

256 DIVIDE BY 8 THEN PLUS 1

Step-by-step explanation:

Answer:

8.8 feet per second

Step-by-step explanation:

1 mile = 5280 feet

3600 seconds = 1 hour

6 mph = 5280(6)/3600 = 528/60 8.8 feet per second

Answer:

\(z=\frac{3 (28 + 17p)}{p + D}\)

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

15.17in of fabric on headbands

9.31 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 33+3= 36

for each person, she uses = 546.12/36= 15.17 in of fabric on headbands

She also uses 307.23 inches of fabric on wristbands for just the players

For each player, she will use= 307.23/33= 9.31 in of fabric

Hence for each player, she used

15.17in of fabric on headbands

9.31 in of fabric on wristbands

Answer:

RSVUT IS THE CORRECT ANSWER

The answer to each part is -

        y = mx + c    

        where -

        [m] : slope of line
        [c] : y - intercept                    

Given is the graph of a straight line as shown.

[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -

(0, 4) and (4, 1)

Let the line be -

y = mx + c

m = (1 - 4)/(4 - 0) = -3/4

m = -3/4

So, the equation will be -

y = (-3/4)x + 4

[B] -

For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.

Therefore, the answer to each part is -

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Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

Answer:

Refer to the attached images.

Step-by-step explanation:

A special right triangle is a right triangle that has some unique properties regarding its side lengths and angles. There are two common types of special right triangles: the 45-45-90 triangle and the 30-60-90 triangle. Simple formulas exist for special right triangles that make them easier to do some calculations.

To find all the side lengths of a special right triangle:

As you can see in the images, I like to use a table.\(\hrulefill\)

Refer to the attached images.

The value of f(3) is 147.3306

The function is given as:

\(f(x)=147+2e^{-0.6x\)

Substitute 3 for x

\(f(3)=147+2e^{-0.6*3\)

Evaluate the product

\(f(3)=147+2e^{-1.8\)

Evaluate the exponent

f(3)=147 + 2* 0.1653

Evaluate the sum

f(3) = 147.3306

Hence, the value of f(3) is 147.3306

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Answer:

4 dots each time.

Step-by-step explanation:

Check. Bolded are the numbers given. Note that there are broken pieces that must be filled in:

5 + 4 = 9

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

~

Answer:

yes

Step-by-step explanation:

2g-5+g=31 commutative is used

Answer:

-35

Step-by-step explanation:

-|35|

-35

Answer:

-35

Step-by-step explanation:

−|−5⋅(−7)|

Multiply inside the absolute values

−|35|

Take the non negative value inside the absolute value

- 35

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Answer:7.5

Step-by-step explanation:

6*0.25=7.5

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer

300

Step-by-step explanation:

multiply by each other

Answer: Please see explanation column for answers

Step-by-step explanation:

When a number  divides into another number without a remainder, it s called a factor of that number.  Lets say we want to  find the common factors of two numbers, we get the  factors of each one and  compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and  b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc=  1, 5, b, c

Factors of 2c2= 1,  2, c, c2

Factors of  3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b=  1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of  6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF=  2b

Therefore, the five-number summary of the data is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

A number can be a measurement—for example, John Cena weighs 275 lbs.—or it can be a count—for example, when we say, "3, 2, 1, GO!" while running. There are fractions such as 22/7 in addition to decimals such as 3.14.

The five-number summary consists of the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value of the dataset.

From the given information about the box plot, we have:

Minimum value: 32

Q1: 48

Median: 62.5

Q3: 70

Maximum value: 81

Therefore, the five-number summary of the data is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

So, the correct option is:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.

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Answer:

10,11,12,13,14, and 15.

Step-by-step explanation:

10 x 10= 100

11 x11= 121

12 x 12= 144

13 x 13= 169

14 x 14= 196

15 x 15= 225

Answer:

I believe your correct! :)

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

Answer: Angular speed and linear speed are related because they both describe the motion of an object, but they measure different aspects of that motion.

Angular speed (ω) measures the rate at which an object rotates around a fixed axis. It is usually measured in radians per second (rad/s). Linear speed (v), on the other hand, measures the rate at which an object travels in a straight line. It is usually measured in meters per second (m/s).

The relationship between angular speed and linear speed depends on the radius (r) of the circular path that the object is moving along. The formula for this relationship is:

v = r x ω

This formula expresses the fact that linear speed is directly proportional to the radius of the circular path and the angular speed of the object. In other words, if the radius of the circular path increases, the linear speed will also increase, assuming the angular speed remains constant. Likewise, if the angular speed increases, the linear speed will increase, assuming the radius remains constant.

In symbols, the formula can be rearranged to solve for angular speed:

ω = v / r

This formula expresses the fact that the angular speed is equal to the linear speed divided by the radius of the circular path. Therefore, the larger the radius, the smaller the angular speed required to produce a given linear speed, and vice versa.

Step-by-step explanation:

Step-by-step explanation:

9:21 is equivalent to 3:7.

Answer:

-1

Step-by-step explanation:

-3x+8=11

 =  -8  -8

-3x=3

/-3 /-3

x= -1

Answer:

-1

Step-by-step explanation:

Hope this helped

The initial population will double in about 27.73 years.

The population will reach β*K after about 25.44 years.

What is logistic regression?

The logistic model in statistics is a statistical model that depicts the likelihood that an event will occur by making the event's log-odds a linear combination of one or more independent variables. In regression analysis, logistic regression is used to estimate a logistic model's parameters.

The logistic equation is given by:

dy/dt = ry(1 - y/K)

(a) If y0=K/3, we want to find the time t at which the initial population has doubled.

Let Y denote the population size, so we want to find the value of t such that Y(t) = 2*K.

To solve for t, we need to first solve the differential equation using separation of variables:

dy/[y(1 - y/K)] = r*dt

Integrating both sides, we get:

ln|y/K - 1| - ln|y| = r*t + C

where C is a constant of integration. Solving for y, we get:

y(t) =\(K / [1 + Ae^{(-rt)}]\)

where A is a constant determined by the initial condition y(0) = K/3. Substituting this initial condition, we get:

K/3 = K / [1 + A]

Solving for A, we get:

A = 2

Substituting this value of A, we get:

y(t) = \(K / [1 + 2e^'(-rt)}]\)

Now, we need to find the time t such that Y(τ) = 2*K. Substituting Y(t) = y(t)*K, we get:

Y(t) =\(K^2 / [1 + 2e^{(-rt)}]\)

So we need to solve the equation:

2K = \(K^2 / [1 + 2e^{(-rt)}]\)

Solving for t, we get:

t = (1/r) * ln(2)

Substituting r = 0.025 per year, we get:

t = (1/0.025) * ln(2) ≈ 27.73 years

Therefore, the initial population will double in about 27.73 years.

(b) If y0/K=α, we want to find the time T at which y(T)/K=β. Letting Y denote the population size, we want to find the value of T such that Y(T) = β*K.

Following a similar procedure as in part (a), we can solve the logistic equation and obtain:

y(t) = \(K * [α/(α + (1 - α)*e^{(-rt)})]\)

Substituting Y(t) = y(t)*K, we get:

Y(t) = K *\([α/(α + (1 - α)e^{(-rt)})] = \beta K\)

Solving for t, we get:

t = (1/r) * ln[(β/α) - 1] - (1/r) * ln[(1 - α)/α]

Substituting r = 0.025 per year, α = 0.1, and β = 0.9, we get:

t = (1/0.025) * ln[8] - (1/0.025) * ln[9] ≈ 25.44 years

Therefore, the population will reach β*K after about 25.44 years.

The initial population will double in about 27.73 years.

The population will reach β*K after about 25.44 years.

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