The duration of routine operations in a certain hospital has approximately a normal distribution with an
average of 120 minutes and a standard deviation of 18 minutes. What percentage of operations last longer
than 138 minutes?

Given the expression below:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]

Use the following property:

[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]

Therefore:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]

Note that a¹ = a. Therefore, 7¹ = 7.

Answer

Answer:

116

Step-by-step explanation:

116 is parallel to y so that are the same its called corresponding angles

When a transversal cuts two parallel lines, the corresponding angles are equal.

In the given figure, the corresponding angles are 116° and y

So, they are equal

⇒   y = 116°

Answer:

Corey has to be 36 while Brad is 18

Step-by-step explanation:

The factors of 54 is 1,2,3,6,9,18,27, and 54.

i pulled 18 because it look like the key number. Corey is 2 times older than Brad, that means you add multiply 18 x 2. Then you get 36. Then u subtract 36 from 54 then you get Brads age :)

Answer:

(10,9) is the outlier in the scatter graph

The outlier in the scatter plot is (10, 9).

Option D is the correct answer.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

In a scatterplot, an outlier is a data point that lies far away from the other data points in the plot.

Outliers can be identified as data points that are much higher or lower than the majority of the data points, and they can be seen as points that are separated from the other data points in the plot.

We see that,

Point (10, 9) lies far away from the rest of the points in the scatterplot.

Thus,

The outlier in the scatter plot is (10, 9).

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Answer:

Sulio needs 28 feet of fencing.

Step-by-step explanation:

P = 2l + 2w

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Answer:

The answer is

First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.

Next, use parentheses when you substitute 8 for l and 6 for w.

After multiplying, add 16 and 12.

Sulio needs 28 feet of fencing.

Step-by-step explanation:

this is your answer

Answer:

R(x) = 3.5x

Step-by-step explanation:

In economics, formula for total revenue is;

Total revenue = quantity sold × price.

In this question;

Let he quantity of drinks sold be x

We are told that the selling price is $3.50 per drinks

Since quantity is "x", then total revenue can be said to be R(x)

Thus;

Total revenue; R(x) = x × 3.50

R(x) = 3.5x

Step-by-step explanation:

the value of x is 18 degree and the value of Y is 15 degree

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

x=19.78

Step-by-step explanation:

Given triangle:

P=2.0

h=5.9

[tex]sin x=\frac{2.0}{5.9} \\sin x=0.338\\x= sin ^-10.338\\x=19.78^0[/tex]

Answer:

y = 1sin(3x)

Step-by-step explanation:

y = A sin( (2π/ω)x )

A is amplitude = 1

ω is period = 2π/3

------------------------------

y = 1sin( 2π / (2π/3) x)

y = 1sin(3x)

The equation for the graph with a sinusoidal wave, given an amplitude of 1, a period of 2π/3, and a phase shift of 0, is y = sin((2π/3)x).

The equation for a sinusoidal wave can be written as:

y = A * sin(ωx + φ)

In this case, we are given the values of amplitude (A = 1), period (ω = 2π/3), and phase shift (φ = 0).

The amplitude (A) represents the maximum displacement or height of the wave from the center line. In this case, it is 1.

The period (ω) represents the length of one complete cycle of the wave. The period is the reciprocal of the frequency, and in this case, it is 2π/3.

The phase shift (φ) represents any horizontal displacement of the wave. In this case, the phase shift is 0, indicating that the wave starts at its equilibrium position.

Using these values, the equation for the given graph would be:

y = 1 * sin((2π/3)x + 0)

Simplifying it further:

y = sin((2π/3)x)

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Answer:

8

Step-by-step explanation:

Since AB is tangent to the circle, ABC is a 90 degree angle. Using either knowledge about special triangles (3-4-5) or the Pythagorean theorem, BC will equal 8.

Hope this helped.

Answer:

304 cups daily

Step-by-step explanation:

4 cups of food (monkeys) multiplied by 76 (amount elephants eats more)

4 x 76

Answer: go to symbolab i swear it will help if not apologies

Step-by-step explanation:

[tex]y = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]

Step-by-step explanation:

[tex]dy = ( {x}^{3} + 5x - 18)dx[/tex]

Integrating the above expression, we get

[tex]y = \int( {x}^{3} + 5x - 18)dx[/tex]

[tex] = \frac{1}{4} {x}^{4} + \frac{5}{2} {x}^{2} - 18x + k[/tex]

where k is the constant of integration

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

Answer:

760.30 - 10 = 750.30

750.30÷9.15=82

Step-by-step explanation:

Take what he have at the end subtract by what he had ad at the start to find how much he earned in total.

Then divide by the money earned per hour to find how many hours worked.

Answer:

(0,4)

Step-by-step explanation:

Here, we want to find the y-intercept of the quadratic function

g(x) = 5x^2 + 9x + 4

Mathematically, we know that the y-intercept is the position on the graph where we have x = 0

so, to find the y-intercept value, we have to find g(0)

simply put, we have to substitute the value of 0 for x

Mathematically, we have this as;

g(0) = 5(0)^2 + 9(0) + 4

g(0) = 0 + 0 + 4

g(0) = 4

thus, we have the y-intercept point as (0,4)

Answer:

31 degrees

Step-by-step explanation:

Subtract 94 from 125 to get the measure of angle DBC.

Answer:

2x²+9x-5

Step-by-step explanation:

Area of a rectangle = Length * Width

If the adjacent sides are 2x – 1) and (x + 5), the area is calculated as;

A = (2x – 1) * (x + 5).

A = 2x²+10x-x-5

A = 2x²+9x-5

Hence the area of the rectangle with the adjacent sides is  2x²+9x-5

Step-by-step explanation:

According to the question,

l+5=2h

Answer:

CE = 20

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6}{8}[/tex] = [tex]\frac{15}{CE}[/tex] ( cross- multiply )

6 CE = 120 ( divide both sides by 6 )

CE = 20

Answer:

2a³

Step-by-step explanation:

2a³ can divide all these without living a remainder

Answer:H = 3 + 0.5x

Step-by-step explanation:

This would be H = 3 + 0.5x

Answer:

English

Step-by-step explanation:

can you speak English plzzz

we need that

Answer:

i dont speak taco ask again in english

Step-by-step explanation:

Answer:

not congruent, they must have 3 equal sides and 3 equal angles. 72+38= 110, which means the last angle is 70°

Step-by-step explanation:

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