A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Answer:

x≥8

Step-by-step explanation:

Answer:

x ≥ 8

Step-by-step explanation:

Subtract 3x from both sides:

2x - 7 ≥ 9

Then add 7 to both sides:

2x ≥ 16, or

x ≥ 8

The solution of the linear system is (1.2, -3.2). Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The system of the equations is given below.

2x - 3y = 12 ..1

 4x - y = 8 ..2

By solving the equations 1 and 2. Then we have

x = 1.2 and y = -3.2

Then the correct option is A.

The graph of the system of the equation is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

6 people left

Step-by-step explanation:

4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront

Answer:

Explanation:

x = the number of students in front of peter

y = the number of students behind peter

z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}

system of equations:

x = 2y ⇒ y = x/2 (defining y with x)

2(x-z) = y (lets substitute y)

2(x-z) = x/2

2x-2z = x/2

2(2x-2z) = x

4x-4z = x

4x-x = 4z

3x = 4z

if z = 6 (i pluged the numbers from 4 to 8)

then

3x = 4×6

3x = 24

x = 24/3

x = 8

∴ y = 4

8 students were in front of peter and 4 were behind him

6 left

now 2 students are in front of peter and 4 are behind him

8 is twice 4

8-6 = 2

4 is twice 2

Answer:

Carson can't mail the package

The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft

Packaging and Branding; Your Small Business Shipping Strategy; 5 Ways ... Download the complete in-depth, 16 chapter guide. ... USPS offers cubic pricing for Priority Mail shipments

Answer:

The test statistic is [tex]z = 1.25[/tex]

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

[tex]H_0: p = 0.8[/tex]

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

[tex]H_a: p > 0.8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]

The test statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]z = 1.25[/tex]

The test statistic is [tex]z = 1.25[/tex]

Answer:

smaller r = -8

larger r = 2

vertex of the parabola

(-8,2)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

Learn more about this concept here:

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First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Answer:

This is the answer:

330550=

Answer:

y = -1/2x + 1

Step-by-step explanation:

use 2 points to find slope, i used:  (0,1) (4,-1)

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

m = 2/-4

m = -1/2

as seen in graph, y-intercept is 1

∴ y = -1/2x + 1

Answer:

y=-2/4x+1

Step-by-step explanation:

the slope would be rise/run and y-intercept is wherever the line crosses the y-axis

Answer:

4 : 25 to round off we have to see that

4 : 25 to round off we have to see that If in ones place it is more than 5 or not

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Answer:

Step-by-step explanation:it’s c

Answer:

500

Step-by-step explanation:

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each

advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How

many people used the Music link?

Advertiser Links

Computers

2396

Music

25%

TVS

3%

Movies

1796

Cell phones

32%

340

450

500

540

Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

Answer:

x = 11

Step-by-step explanation:

Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \

Use formula : (whole*outside = whole*outside)

1. Formula

WO = WO

2. Substitute variables and setup equation

7(x+7) = 6(6+15)

3. Simplify and remove parentheses

7x+49 = 126

4. Isolate and solve for (x)

7x = 77

x = 11

Answer: 11

Given:

The figure of circle and two secants from an external point.

To find:

The value of x.

Solution:

According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then

(I secant) × (external segment of I) = (II secant) × (external segment of II)

Using the intersecting secant theorem, we get

[tex]7(7+x)=6(6+15)[/tex]

[tex]49+7x=36+90[/tex]

[tex]7x=126-49[/tex]

[tex]7x=77[/tex]

Divide both sides by 7.

[tex]x=\dfrac{77}{7}[/tex]

[tex]x=11[/tex]

Therefore, the value of x is 11.

Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

Answer:

a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.

a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.

b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.

c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:

[tex]\theta = \omega \cdot t[/tex] (1)

Where:

[tex]\omega[/tex] - Angular velocity, in radians per minute.

[tex]t[/tex] - Time, in second.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)

Where:

[tex]r[/tex] - Radius of the Ferris wheel, in feet.

[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].

c) We use the following geometric expression to model Ryan's height above the ground:

[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)

Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.

If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].

Answer:

a) 32° (nearest whole number)

b) 16° (nearest whole number)

c) 16.5° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

We are given:

The line passes through the points (9,4) and (9,-5)

We know that:

Slope of a line = (change in y) / (change in x)

Finding the slope:

Change in x = final x - initial x

Change in x = 9 - 9 = 0

Slope of line = (change in y) / 0

because division by 0 is undefined:

Slope of the line is Undefined

We could've solved for the change in y but there's no reason to because no matter what's in the numerator, as long as the denominator is 0, the value is undefined

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD