what is point-slope form means

They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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A quadratic function has the possibility of two x-intercepts.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

Given that a function having two x-intercepts

The graph of a quadratic function will always have one y-intercept and can have as many as two x-intercept.

Hence, a quadratic function has the possibility of two x-intercepts.

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The standard deviation of the given data is rounded to the nearest hundredth will be 10.2.

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

Count, N = 5

Sum, Σx: 660

σ is the standard deviation

The mean of the data is x ;

μ = (147+141+120+124+128)/5

μ= 132

Mean, μ: 132

The standard deviation is found as;

\(\rm \sigma = \sqrtr{\frac{(x_1-\mu)^2+(x_2-\mu)^2 +(x_3-\mu)^2+(x_4-\mu)^2+(x_5-\mu)^2}{n-1}}\\\\ \sigma =\sqrtr{\frac{(147-132)^2+(141-132)^2 +(120-132)^2+(124-132)^2+(128-132)^2}{5-1}}\\\\ \sigma = 10.2\)

Hence, the standard deviation of the given data is 10.2

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Answer:

10.30

Step-by-step explanation:

10.29563

Rounded to nearest hundredth

Answer:

x = 1

y = -2

Step-by-step explanation:

x = 19 + 9y

3x- 3y = 9

________

3(19+9y)-3y=9

y=-2

x=19+9(-2)

x=1

(1,-2)

Answer:

\( - x = - 1 - 9y \\ \frac{ - x}{ - 1} = \frac{ - 1}{ - 1} - \frac{9}{ - 1} \\ x = 1 + 9y...(3) \\ 3(1 + 9y) - 3y = 9 \\ 3 + 27y - 3y = 9 \\ 3 + 24y = 9 \\ 24y = 9 - 3 \\ 24y = 6 \\ \frac{24y}{24} = \frac{6}{24} \\ y = \frac{1}{4} \\ \\ \\ \\ x = 9( \frac{1}{4} ) + 1 \\ x = \frac{9}{4} + 1 \\ x = \frac{13}{4} \)

Step-by-step explanation:

ATTACHED IS THE SOLUTION!

An angle making a full rotation measures 360 degrees or 2π radians. Both are a method of representing the measurement of a curved distance. If an angle has a measure of 5 radians, then, the measure of that angle in degrees is 286.478897 degrees.

Here is the step-by-step explanation of the solution:

Given, an angle has a measure of 5 radians. To convert radians into degrees, we use the following formula: Degree measure of angle = Radian measure of angle × (180/π)So, substituting 5 for the radian measure of the angle we get, Angle measure in degrees = 5 × (180/π)Degree measure of angle = 5 × (180/3.14159265359)Degree measure of angle = 286.478897 degrees hence, the measure of the given angle in degrees is 286.478897 degrees.

To convert from degrees to radians, use the same approach and just substitute the given value to arrive at the solution.

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Answer:

\( \sqrt{2p + 5} - 3 (p = 10) \\ \sqrt{20 + 5} - 3 \\ \sqrt{25} - 3 \\ 5 - 3 \\ 2\)

Step-by-step explanation:

\( \sqrt{2p + 5} - 3 \\ when \: p = 10 \: \\ then \\ \sqrt{2(10) + 5} - 3 \\ \sqrt{20 + 5} - 3 \\ \sqrt{25} - 3 \\ 5 - 3 \\ 2\)

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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Answer:

120 degrees

Step-by-step explanation:

Greetings from Brasil...

Here we don't have much to go

∛Y = A.(C + 1/X)

∛Y = (AC + A/X)

raising both members to the cube.....

(∛Y)³ = (AC + A/X)³

from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³

Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³

Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]

The equation of the hyperbola is y²/9 - x²/25 = 1

Given data ,

The equation of a hyperbola centered at the origin (0,0), with the foci at (0,3) and (10,3), and a y-radius of 1, can be written in the form:

y²/a² - x²/b² = 1

where "a" is the distance from the center to the vertices along the y-axis, and "b" is the distance from the center to the vertices along the x-axis.

Now , the foci are at (0,3) and (10,3), the distance from the center to the vertices along the y-axis is 3 units (which is the y-radius), so "a" is 3

The distance between the foci along the x-axis is 10 units, so "2b" is 10,which means "b" is 5

Plugging these values into the equation, we get:

y²/3² - x²/5² = 1

Simplifying, we get:

y²/9 - x²/25 = 1

Hence , the equation is y²/9 - x²/25 = 1

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Answer:

314 =4 Pi (r squrared)

Step-by-step explanation:

so second option is the right answer

1454.13 ( the 3 is infinite) mm^3

Step-by-step explanation:

1/3 × 13.3 × 16 × 20.5 = 1454.13 ( the 3 is infinite, I don't know how to put a line over a number on here)

I hope this helps, have a good day!

Answer:

-2 1/2 or -5/2

Step-by-step explanation:

Answer:

5/6 / -1/3 is -5/2

(used calculator)

Answer:

24/68 inches

Step-by-step explanation:

Multiply 3 times 8 to get 24. The denominator was multiplied by 8 so you have to do the same thing to the numerator.

Hope This Helps :)

The equivalent of the quantity \(\frac{3}{8}\) inch is \(\frac{24}{64}\) inch.

The given quantity is \(\frac{3}{8}\) inch.

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.

Here, in equivalent given fraction denominator is 64.

Let the numerator be x.

Now, \(\frac{3}{8}\) inch = \(\frac{x}{64}\) inch

3×64=x×8

x=3×8

x=24

So, the numerator of the fraction is 24.

Hence, the equivalent of the quantity \(\frac{3}{8}\) inch is \(\frac{24}{64}\) inch.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

Another name for angle 2 is angle DBC

Step-by-step explanation:

This is the only one in the answer choices that is correct. The order in which to follow the points to name an angle is from the endpoint, middle point, endpoint. So, D, B, C. You can also do C, B, D.

The system of equations that models the given situation are;

y = 10x + 35

y = 5x + 35

Let x denote the number of years since 2010

Let y denote the total members

The linear equation in slope intercept form is expressed as;

y = mx + b

where;

m is the slope or unit rate

b is the y-intercept or initial value

For the swim team, since  the team increased by an average of 10 members per year, then;

Slope = 10

In 2010, they had 5 members and so; y-intercept = 35

Thus, the equation is; y = 10x + 35

For the chorus team, we can deduce that;

Slope = 5 members per year

In 2010, they had 35 members and so; y-intercept = 35

Thus, the equation is; y = 5x + 35

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Complete question is;

Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010.

A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.

The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):

Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.

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Answer:

radius squared

Step-by-step explanation:

Answer:

Slope and y intercept.

Step-by-step explanation:

This is necassary to write the equation of a line in y=mx+b

m is where the slope goes, and b is the y intercept.

Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

This can later be converted into slope intercept form.

Answer:

When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

Or

The Standard Form for a linear equation in two variables, x, and y, is usually given as Ax + By = C where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.

Answer:

4,35

Step-by-step explanation:

4/7 = 20/35

Converting it into ratio form

4:7 = 20:35

The Extremes of this proportion are 4,35

While, the means of this proportion are 7, 20

Answer:

the correct answer is B

Step-by-step explanation:

hope this helped :)

Answer:

c

Step-by-step explanation:

Answer:

C, 72

Step-by-step explanation:

First add all of the numbers

62+78+59+89=288

Then divide the total by the total number of numbers added

288/4=72

The cost of 23 chicken wings will be $50.6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is Savannah who bought 14 chicken wings for $30.80.

Cost of 14 chicken wings = $30.80

Cost of 1 chicken wing = $(30.80/14) = $2.2

Then, the cost of 23 wings will be = 23 x 2.2 = $50.6

Therefore, the cost of 23 chicken wings will be $50.6.

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The vehicle can travel 12 miles per gallon of gasoline.

What is the Mixed fraction ?

A mixed fraction is one that is represented by both its remainder and quotient. Consequently, a mixed fraction is created by combining a whole number and a proper fraction.

What is the Rate ?

A rate is the comparison of two comparable amounts expressed in different units. If the ratio's denominator is written as a single unit of one of these quantities, and if it is assumed that this quantity can be modified systematically (i.e., is an independent variable), then the numerator of the ratio indicates the comparable rate of change in the other (dependent) variable.

The vehicle travels 13\frac{1}{2} by using 1\frac{1}{8} gallons of gasoline.

since the units are in mixed fraction, we can simplify it to simple fraction,

distance travelled= 13\frac{1}{2} = [(13 × 2) + 1] / 2 = 27/2 miles.

gasoline used= 1\frac{1}{8} = [(1×8)+1] /8 = 9/8 gallons.

∴ Miles per gallon of gasoline = distance travelled ÷ gasoline used

                                                  = 27/2 miles ÷ 9/8 gallons

                                                  = 12 miles per gallon of gasoline.

Hence, The rate of miles per gallon of gasoline is 12 miles/gallon of gasoline.

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The IQR measures the spread of the middle 50% of the data.

Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).

First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.

Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.

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The triangle DEF's section EF measures 24 units in length.

As per the data given in the above question are as bellow,

The provided details are as follow,

Procedure: Calculating the length that results from distorting a triangle by a scale factor

The triangle mentioned in the previous sentence is summarised in the diagram below. Using a trigonometric relationship, we discover that the following formula best describes the length of the section EF:

\($\sin a^{\circ}=\frac{E F}{D E}$\)

If we know that DE=30 and \($\sin a^{\circ}=\frac{4}{5}$\), then the length of the segment EF is:

\(E F=D E \cdot \sin a^{\circ} \\& E F=30 \cdot\left(\frac{4}{5}\right) \\\)

EF=24

Sine (sin), cosine (cos), and tangent (tan), which are defined in terms of the ratios of the sides of a right triangle, are the fundamental trigonometric functions.

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Note: The correct question would be as bellow,

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

Answer:

Simple solution for that!

4 : 5

Step-by-step explanation:

both 8 and 10 are divided by 2

8 ÷ 2 : 10 ÷2

4 : 5

further can't simplify so 4 : 5 is the answer