the salaries of physicians in a certain speciality are approximately normally distributed. if 25 percent of these physicians earn less than $180,000 and 25 percent earn more than $320,000, approximately what fraction earn

Answer:

2/5

Step-by-step explanation:

(y1-y2)/(x1-x2) is the formula

(-4+6)/(1+4) Set up

2/5 Simplify

The equation describing the relationship between P and the width of the pen, w is P = 1/3L².

Area of a rectangular pen = Length × width

P = L × 1/3L

P = 1/3L²

L² = P ÷ 1/3

multiply by the reciprocal of 1/3

L² = P × 3/1

L² = 3P

Find the square root of both sides

L = √3P

To solve the equation for w

Width of the rectangular pen = 1/3L

w = 1/3(√3P)

In conclusion, the relationship between P and the width of the pen, w is P = 1/3L².

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the probability of the event that the sum of the numbers showing face up is at least 9 is 1/9.

What is probability?

The chance of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anything between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes.

Rolling two dice produces a total of 36 possible results.

One of the following will be necessary to reach the amount of 9: (3,6),(6,3),(4,5), or (5,4). 4 final results out of 36 overall.

Rolling two dice results in a 4/36 or 1/9 chance of having a sum of nine.

Hence the probability of the event that the sum of the numbers showing face up is at least 9 is 1/9.

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The other measurement of the golden rectangle is 9.87 inches. (Option C)

Golden rectangle refers to a rectangle whose sides are in the golden ratio. Golden ratio refers to the ratio between two quantities if their ratio is equal to the ratio of their sum to the larger of the two quantities. In other words, it exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a) which both approximately equal to 1.618.

Hence, if one measurement of the rectangle is 6.1 inches, the other measurement would be = 6.1*1.618 ≈ 9.87 inches

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The 1st graph best represents Andy’s bike ride

(Consider the image I attached)

Andy's speed and time were initially at point 1 (starting point). That is he is not moving

If he rapidly pedaled his bike to reach a certain speed. That is, he moved from point 1 to point 2. This implies the speed increase with an increase in time.

Then continued at that speed.  That is, he moved from point 2 to point 3.   This implies the speed remains the same with an increase in time

He rapidly pedaled again. That is, he moved from point 3 to point 4. The speed increase with an increase in time again.

Then quickly pressed on his brakes to come to a stop. That is, he moved from point 4 to point 5.

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Answer:

20

Step-by-step explanation:

The control limits that include 95% of the sample means be,

(19.9671 , 20.0329).

Given, each of 20 people generated a random sample of whole numbers and constructed a 95% confidence interval for the proportion that are odd.

we have to find the confidence interval under confidence of 95%.

Subtract 1 from your sample size. 25 – 1 = 24. This gives you degrees of freedom.

Subtract the confidence level from 1, then divide by two.

(1 – 0.95) / 2 = 0.05

For 24 degrees of freedom (df) and α = 0.05, the result is 1.645.

Divide your sample standard deviation by the square root of your sample size.

0.1 / √(20) = 0.02

Now, 0.02 × 1.645 = 0.0329

The lower end of the range

20 – 0.0329 = 19.9671

The upper end of the range

20 + 0.0329 = 20.0329

Hence, the confidence interval be, (19.9671 , 20.0329)

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Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

1.20

Step-by-step explanation:

To determine how much Bruce's large pizza with three toppings would cost without the additional toppings, you would need to know the base price of a large pizza at Bella's Pizza Shop. Based on the information you provided, a large pizza at Bella's Pizza Shop costs $9.00. To determine the cost of the additional toppings, you would need to know the cost of each topping and the number of toppings ordered. Since this information is not provided, it is not possible to determine the cost of the additional toppings or the total cost of Bruce's order.

The large pizza costs $9.00 without any toppings.

The additional toppings cost $12.60 - $9.00 = $<<12.60-9.00=3.60>>3.60.

Therefore, each topping costs $3.60 / 3 = $<<3.60/3=1.20>>1.20. Answer: {1.20}.

Answer:

$1.20

Step-by-step explanation:

Assuming the question is "how much does each topping cost", you could solve it like this:

Total - large pizza price.
12.6 - 9 = 3.6.
Since Bruce got 3 toppings you'll want to do 3.6/3 which will give you 1.2.

If you add it all back up it should give you 12.60 again.
1.2(3)+9=12.6

Answer:

[tex]v = \frac{16-2c}{a^{2} }[/tex]

Step-by-step explanation:

Original equation

[tex]8 = \frac{1}{2}a^{2} v + c[/tex]

Multiply both sides by 2 to get rid of fraction

[tex]16 = a^{2}v + 2c[/tex]

Get constant on right, [tex]a^{2} v[/tex] on left

[tex]-a^{2}v = 2c - 16[/tex]

Divide both sides by [tex]a^{2}[/tex]

[tex]v = \frac{16 - 2c}{a^{2} }[/tex]

The equation of the line will be equal to y = -x + 3.

The equation of the line in slope intercept form is expressed as

y = mx + c

where m is the slope of the line, c is the y-intercept and x and y are independent and dependent variables respectively.

We have the equation of the line as y = x + 5 and we need to find equation of line perpendicular to this line. The slope of the line is 1.

If two lines are perpendicular then the relation in their slope is expressed as

m₁ × m₂ = -1 and we have m₁ = 1 and m₂ = m so we get

1 × m = -1

=> m = -1

Now, the equation of the line will be

y = (-1)x + c

Also, the line passes through (1, 2) so on putting these values

2 = -1 + c

=> c = 3

So, the complete equation of line will be

y = -x + 3

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Complete Question:

Write the equation of a line that passes through the point (1, 2) and is perpendicular to the line y = x + 5.

The x-intercept is (2,0). And the correct option is C: (2,0).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

We have the standard form of the slope-intercept form:

y = mx + b,

where m is the slope and b is the intercept.

In order to find the x-intercept,

substitute y=0 to the equation.

And solve for x.

Given equation is;

g(x); y = -4x+8

       y = -4x+8

The slope of the equation is -4.

To find the x-intercept,

Now, -4x + 8 = 0

              -4x = -8

                 x = 2

And the graph is given in the image.

Where (2,0) is the x-intercept.

The point (2,0), where a line crosses x-axis, is known as the x-intercept.

Therefore, the x-intercept is (2,0).

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Answer: (2, 0)

Step-by-step explanation: I took the test and got it right.

I promise it is right!  

Just make sure it is the same problem!!

Good luck!!!!! ;)

The average speed of the lorry on the return journey is 58.5 km. If At 0845 hours, a lorry leaves Town A for Town B at an average speed of 52 km/h. It arrives at Town S at 1230 hours. On the return journey, the lorry leaves Town B at 1455 hours and arrives at Town A at 1815 hours.

The speed of an object can be determined by calculating the distance it covers in a given length of time. For instance, if a car goes 70 miles in an hour, it is doing so at a pace of 70 miles per hour (miles per hour).

Given,

At 0845 hours, a lorry leaves Town A for Town B at an average speed of 52 km/h. It arrives at Town S at 1230 hours.

On the return journey, the lorry leaves Town B at 1455 hours and arrives at Town A at 1815 hours.

distance = speed × time

Average speed from town A to town B is 52 km/h at 3 3/4 hrs.

Distance = 52 km/h × 3 3/4 hrs ...eq1

Let speed in return journey = r

Then distance = r × 3 1/3 hrs ...eq2

From eq1 & eq2

52 ×3 3/4 = r × 3 1/3

52 ×15/4 = r × 10/3

r = (52×15×3)/(4×10) km

r = (13×3×3)/2 km

r = 117/2 km

r = 58.5 km

The average speed of the lorry on the return journey is 58.5 km.

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Answer:

z/4 or 4/z i think or z divided by 4

Step-by-step explanation:

The value of x from the expression 2x + 6 = 38 is 16.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x + 6 = 38

Subtracting 6 on both sides.

2x = 38 - 6

2x = 32

Divide both sides by 2.

x = 16

Thus,

The value of x is 16.

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The number of marbles of the color white, if A jar contains 350 marbles of two colors of all the marbles, 4 out of every 7 marbles are white, is 200.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1.

Given:

A jar contains 350 marbles, n = 350,

4 out of every 7 marbles are white,

Calculate the number of whites balls as shown below,

Number of one white ball in 7 marbles = 4 / 7

Number of white balls in 350 marbles =  4 / 7 × 350

Number of white balls in 350 marbles = 200

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The measurement of each diagonal is 5 cm in the given rectangle.

The diagonals of a rectangle are the two line segments that connect opposite corners of the rectangle and divide the rectangle into four right triangles.

Two diagonals of the rectangle are 3x+2cm and 2x +3cm which is given in the question.

The diagonals of a rectangle are equal in length, so we can set the two given lengths equal to each other:

3x + 2 cm = 2x + 3 cm

Subtracting 2x and 3 from both sides gives us:

x = 1 cm

Substituting this value back into the original equations gives us:

3(1) + 2 cm = 2(1) + 3 cm

3 + 2 cm = 2 + 3 cm

5 cm = 5 cm

Therefore, each diagonal has a length of 5 cm.

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The number of pink roses with given ratio is 0.4m.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of pink roses to white roses is 2:3.

A bed of roses consists of m roses.

Here, 2+3=5

So, the number of pink roses

= 2/5 ×m

= 0.4m

Therefore, the number pink roses are 0.4m.

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For the given partially decoupled system, dv/dt = -v , v(0) = -1 and dy/dt = v , y(0) = 100

The value of the constant that appears when solving for y(t) i.e, c₂ is 99..

We have given that

dv/dt = -v ; v(0) = -1

By separtion of variables ,

dv/v = - dt

=> ₋₁∫ᵛ dv/v = ₀∫ᵗ -1 dt

=> ₋₁[ ln(v) ]ᵛ = ₀[ -t]ᵗ

=> ln(v) - (-ln(-1)) = -t - 0

=> ln(v/-1) = - t

=> -v = e⁻ᵗ

=> v = - e⁻ᵗ

Now, dy/dt = v = - e⁻ᵗ

Integrating both sides y = 0 to 100 and t =0 to t

₀∫ʸ 1dy = ₀∫ᵗ - e⁻ᵗ dt

=> ₀[ y ]ʸ = - ₀[- e⁻ᵗ ]ᵗ

=> y - 100 = e⁻ᵗ - 1/e⁰ (since y(0)= 100) => y - 100 = e⁻ᵗ - 1

=> y = e⁻ᵗ - 1 + 100

=> y = e⁻ᵗ + 99

Which is general solution of dy/dt .

So, the constant that appears when solving for y(t), c₂ is 99.

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Complete question:

dy/dt =v, y(0) = 100 ; dv/dt = -v , v(0) = - 1 ..This is a partially decoupled system. Solve for v(t) first by separation of variables. Then substitute into the second equation and solve for y(t). If C1 is the constant that is in the general solution for v(t), and C2 is the constant that appears when solving for y(t), what is the value of C2?

The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

What is Graphed linear equation?

A linear equation with two variables has a line as its graph, which is why it is referred to as linear. Plotting the points (x1,y1) and (x2,y2) and the line that connects them.

Solution:

        [tex]Slope \ of\ line= \frac{(y_{2-} y_{1} )}{(x_{2-} x_{1} )} \\\\Slope \ of\ line = \frac{-6} {4} \\\\Slope \ of\ line = \frac{-3}{2}[/tex]

One point on the line is (0,6)

The equation of the line is,

         [tex]y-6= (\frac{-3}{2} )(x-0)\\\\y-6= (\frac{-3}{2} )(x)\\\\y= 6+ (\frac{-3}{2}x )[/tex]

The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

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Using Vector Decomposition in vertical and horizontal axis, The Horizontal component is 400-lb and Vertical component is 692.82-lb.

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

The required formulas are:

Horizontal Component = [tex]A \cos \alpha[/tex]

Vertical Component = [tex]A \sin \alpha[/tex]

pull(A) = 800 -lb

[tex]\alpha = 60^{o}[/tex]

Horizontal Component = 800 * cos60

= 400-lb

Vertical Component = 800 * sin60

= 692.82-lb

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Answer: 5/9

Step-by-step explanation: 15/27 divided by 3. 15 divided by 3 is 5 and 27 divided by 3 is 9.

Answer:

if you mean y=3/2x + 3 then the slope (m) is 3/2 and the y-intercept (b) is 3

Step-by-step explanation:

Answer:

The salesperson would need to sell a minimum of $286,666,.67 to meet his income goal.

Step-by-step explanation:

y = total income

x = car sales

y = .15x + 17000

60000 = .15x + 17000    Solve for x.  Subtract both sides by 17000

43000 = .15x  Divide both sides by .15

286,666.67  Rounded to the nearest penny.

The ordered pair which is solution to this system of inequalities is (1.75, -0.0625).

The system of inequalities are 5x−4y≥9 and 6x+8y≤10.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The intersection consists of the elements that are contained in all of the intervals.

Here, 5x−4y≥9 -------(I) and 6x+8y≤10 -------(I)

Now, y ≤ 5/4 x+(-9/4); y ≤ -3/4 x+5/4

⇒ 5/4 x+(-9/4) ≤ -3/4 x+5/4

⇒ 5/4 x+3/4 x ≤ 5/4+9/4

⇒ 2x≤ 3.5

⇒ x≤ 1.75

Substitute x=1.75 in y ≤ 5/4 x+(-9/4), we get

y ≤ 1.25(1.75)-2.25

y ≤ 2.1875-2.25

y ≤ -0.0625

Two inequalities are intersect at (1.75, -0.0625)

Therefore, the ordered pair which is solution to this system of inequalities is (1.75, -0.0625).

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Answer:

What do you need here Any help?

The information provided indicates that 188 teachers and staff members own vehicles.

An arithmetic value used to compute and describe a quantity is, in fact, a number. In writing, numerical symbols like "3" are used to represent numbers. Using numerals or symbols to symbolize numbers, a numbering system seems to be a logical approach to convey numbers.

27% of students (s) 94 percent are teachers and workers (t).

The ratio between these two variables is 10:1, which suggests that there is only one employee for every 10 pupils, meaning that students outnumber teachers and other workers by a factor of 10.

Thus, 27% of 10 pupils is equal to 2.7 students, and 94% of 1 employee is equal to 0.94 employees and teachers. Therefore, if there are 2000 pupils, there must be 200 teachers. The number of students who own automobiles is 0.27(2000)=540, whereas 0.94(200)=188 is the number of teachers and staff who own cars.

You can see from this ratio and percentages that more pupils drive themselves to school than do teachers and other staff members. Roger's assertion is accurate for this reason.

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By using probability, it can be calculated that -

Probability that more than 52 were made = 0.792

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

A professional basketball player made 51.6% of field goals in one season

n = 110

p = 0.516

q = 1 - 0.516 = 0.484

Now,

Mean = 110 [tex]\times[/tex] 0.516 = 56.76

Standard Deviation = [tex]\sqrt{(110\times0.516\times0.484)}[/tex] = 5.24

P(X>52)

P(X>52.5)

z = [tex]\frac{52.5 - 56.76}{5.24}[/tex]

z = -0.8128

P(z<-0.8128) = 0.208

P(X>52) = 1 - 0.208

P(X>52) = 0.792

Probability that more than 52 were made = 0.792

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Answer:

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Verify the equations: