An urban planner is researching commute times in the San Francisco Bay Area to find out if commute times have increased. In which of the following situations could the urban planner use a hypothesis test for a population mean? Check all that apply. Group of answer choices The urban planner asks a simple random sample of 110 commuters in the San Francisco Bay Area if they believe their commute time has increased in the past year. The urban planner will compute the proportion of commuters who believe their commute time has increased in the past year. The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes. The urban planner asks a random sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a Tuesday morning. The urban planner will see if the difference in commute times shows an increase.

Answer:10

Step-by-step explanation:3x2=6 and 4x1=4 4+6=10

Answer:

See below

Step-by-step explanation:

Perimeter = (7x2) + (2x2) = 18

Area (L x W) = Square + rectangle

= (3x2) + (4x1) = 6 + 4 = 10

320 ft is the perimeter

The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

Answer:

Can you use a specific question please

Step-by-step explanation:

Answer: = 17 7/

Step-by-step explanation:

8 1/5 + 9 1/2 = 177/

10

= 17 7/

The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

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The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

≈13x+8

Step-by-step explanation:

Let's simplify step-by-step.

2(5x+4)+3x

Distribute:

=(2)(5x)+(2)(4)+3x

=10x+8+3x

Combine Like Terms:

=10x+8+3x

=(10x+3x)+(8)

=13x+8

\( \boxed {\bf Answered \: by \: subhash}\)

\( \boxed{\bf Good \: luck \: for \: your \: assignment}\)

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

\(2*log(x)+log(y)\)

Step-by-step explanation:

So, there are two logarithmic identities you're going to need to know.

Logarithm of a power:

   \(log_ba^c=c*log_ba\)

   So to provide a quick proof and intuition as to why this works, let's consider the following logarithm: \(log_ba=x\implies b^x=a\)

   Now if we raise both sides to the power of c, we get the following equation: \((b^x)^c=a^c\)

   Using the exponential identity: \((x^a)^c=x^{a*c}\)

    We get the equation: \(b^{xc}=a^c\)

    If we convert this back into logarithmic form we get: \(log_ba^c=x*c\)

    Since x was the basic logarithm we started with, we substitute it back in, to get the equation: \(log_ba^c=c*log_ba\)

Now the second logarithmic property you need to know is

The Logarithm of a Product:

    \(log_b{ac}=log_ba+log_bc\)

    Now for a quick proof, let's just say: \(x=log_ba\text{ and }y=log_bc\)

    Now rewriting them both in exponential form, we get the equations:

    \(b^x=a\\b^y=c\)

    We can multiply a * c, and since b^x = a, and b^y = c, we can substitute that in for a * c, to get the following equation:

    \(b^x*b^y=a*c\)

   Using the exponential identity: \(x^{a}*x^b=x^{a+b}\), we can rewrite the equation as:

   \(b^{x+y}=ac\)

   taking the logarithm of both sides, we get:

   \(log_bac=x+y\)

   Since x and y are just the logarithms we started with, we can substitute them back in to get: \(log_bac=log_ba+log_bc\)

Now let's use these identities to rewrite the equation you gave

\(log(x^2y)\)

As you can see, this is a log of products, so we can separate it into two logarithms (with the same base)

\(log(x^2)+log(y)\)

Now using the logarithm of a power to rewrite the log(x^2) we get:

\(2*log(x)+log(y)\)

Step-by-step explanation:

x=3

y=1

3(3)+9(1)

9+9=18

3+1=4

Answer:

Step-by-step explanation:

The given equation is 3x + 9y = -18. To correctly graph the equation, it would be helpful to write the equation in its slope-intercept form which is expressed as:

y = mx + b where m is the slope and b is the y value when x is 0 or the y-intercept.

3x + 9y = -18

9y= -3x -18

y= -1/3x - 2

Therefore, the slope would be -1/3 and the y-intercept is -2. You use these data to graph the equation.

Answer: \(20x^2 + 47x+24\)

Step-by-step explanation:

We just multiply the values on the edges like we are finding the area of a square, L * L = area.

4x * 5x = 20x^2

4x * 8 = 32x

3 * 8 = 24

3 * 5x = 15x

Next add the answers together

20x^2 + 47x + 24

Answer:

option 3

Step-by-step explanation:

you need to times (4x+3) by (5x+8)

so you basically need to expand the brackets and collect like terms

Answer:

Equation: x × -2 = y

Solution: y = 12

Step-by-step explanation:

if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.

Answer:

a

Step-by-step explanation:

because as absolute value gets smaller the line gets steeper

r

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

\(31^{\circ}, 35^{\circ}, 114^{\circ}\)

Step-by-step explanation:

Let the first angle be \(x\). Then, the second angle is \((x+4)^{\circ}\) and the third angle is \((3x+21)^{\circ}\).

We know that the sum of the angles in a triangle will always be \(180^{\circ}\). So, we want to solve the equation for x: \((x)+(x+4)+(3x+21)=180\).

Combining like terms on the left side gives \(5x+25=180\).

Subtracting \(25\) from both sides gives \(5x=155\).

Dividing both sides by \(5\) gives \(x=31\).

So, the first angle is \(31^{\circ}\).

The second angle is \(x+4=31+4=35\), so the second angle is \(35^{\circ}\).

The third angle is \(3x+21=3(31)+21=93+21=114\), so the third angle is \(114^{\circ}\).

So, the angles are \(\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}\) and we're done!

The check that these angles work is left as an exercise to the reader.

Answer:

x1=3     x2=-4

Step-by-step explanation

The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.

It is given that:

\(\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]\)

\(\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]\)

On comparing:

3x₁ + 2x₂ = 2

5x₁ + 5x₂ = -3

The above two equations represent linear equations in two variables:

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

After solving with substituion method:

x₁ = 3.2

x₂ = -3.8

Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.

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The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.

A column is a vertical structure that acts as a support for a building or is used as a decorative object. It is commonly used in architecture and comes in many different styles, shapes, and sizes. Columns can be made from a variety of materials such as stone, marble, iron, and brass. They are often adorned with intricate carvings and detailed designs. Some ancient structures like the Parthenon in Athens, Greece, are famous for their impressive use of columns.

Hundreds

Tens

Regrouping

First Addend

Second Addend 6

Sum

4

8

Ones

7

7

The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.

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The person above is correct give them brainliest

Answer:

4

Step-by-step explanation:

Answer:

3 min 30 seconds= 210 seconds

In 210 seconds, number if copies machine make= 98

In 1 second= 98/210 copies

In 60 seconds= 60*(98/210)

= 28 copies

Answer:

The answer is "\(H_0:\mu \geq 50.1\ \ and \ \ H_0: \mu \geq 50.1\)"

Step-by-step explanation:

An initial random selection of mail-order physicians representing firm A worked an average of 50.1 hours per week. My goal is to reject the Null Hypothesis since it is employed to make no difference. In this case,\(H_0 =\mu \geq50.1\)

Medical insurance changes are attributed to reducing the average workweek. New medical coverage is claimed to be have reduced your average workday after the government change. \(H_1: \mu <50.1\)

Answer: abe

Step-by-step explanation: start at origin and is proportional

Answer:

coyote

Step-by-step explanation:

ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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The vector product axb has a magnitude of 3.62 cm^2 and points in the negative z-direction.

To find the vector product of axb, we first need to find the cross product of the two vectors, which is given by the following formula: axb = |a| |b| sin(theta) n,

where |a| and |b| are the magnitudes of vectors a and b, respectively, theta is the angle between the two vectors (which is 120 degrees in this case), and n is a unit vector perpendicular to both a and b, given by the right-hand rule.

Using this formula, we can calculate the magnitude of the vector product as follows:

|axb| = |a| |b| sin(theta) = (2.80 cm) (1.90 cm) sin(120 degrees) = 3.62 cm^2

Next, we need to determine the direction of the vector product. Since the two vectors are in different quadrants, we can use the right-hand rule to determine the direction of n. If we point our right thumb in the direction of a and our right index finger in the direction of b, then the direction of n is given by the direction of our right middle finger.

In this case, since a is in the first quadrant and b is in the fourth quadrant, n points in the negative z-direction.

In summary, the magnitude of the vector product axb is 3.62 cm^2 and it points in the negative z-direction. The vector product represents the area of a parallelogram formed by the two vectors a and b, with the direction of the vector product given by the right-hand rule.

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The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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