Which of the following is not a characteristic of the normal probability distribution? Select one: a. Symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean d. The mean is equal to the median, which is also equal to the mode

Answers

Answer 1

Answer:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean

Step-by-step explanation:

In a normal distribution, the shape is bell-shaped; this means it is symmetric.

The area under a normal distribution will always be equal to 1.

The mean, median and mode in a normal distribution are equal.

However, the data assumes values within 1 standard deviation above or below the mean 68% of the time, not 99.72% of the time.  This is the characteristic that doesn't fit.

Answer 2

The statement which is not a characteristic of the normal distribution is:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.The area under the normal curve is always equal to 1.The mean, the mode and median are equal.The Empirical Rule states that 68% of the measures are within 1 standard deviation of the mean, 95% within 2 and 99.7% within 3, thus, statement c is false.

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Related Questions

EASY Brainliest. What is the parent graph?

Answers

Answer:

D

Step-by-step explanation:

The given function builds on the parent graphy = x^2.

The answer is D. y=x^2

sammy earns $18.50 in two hours of work at this rate how much will he earn for 7 hours of work

Answers

Please mark me as brainliest if this answer is correct and nobody tops it.

So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7

9.25 · 7 = 64.75.

So Sammy earned $64.75, hope she buys something nice for herself with it. :)

(10Q) Determine the graph of the cosine curve with an amplitude of 2 and a period of 2.

Answers

ANSWER

See attachment.

EXPLANATION

The cosine function is symmetric with respect to the y-axis.

If the cosine function has an amplitude of 2 then, its range is

-2≤y≤2

If the period is 2 , then its must complete a full cycle on the interval, [-2,0],[0,2], [2,4], etc.

The graph that has all these features is shown in the attachment.

what is the length of Y on this circle?

8 units

10 units

12 units

18 units

Answers

Check the picture below.

Find the dimensions of a rectangle whose width is 6 miles less than its length and whose area is 112 square miles.

Answers

Answer:

Step-by-step explanation:

Be the sides x[tex]x, x+6[/tex] you know [tex]x(x+6) = 112[/tex] or [tex]x^2 +6x -112 = 0[/tex][tex]x= -3 \pm \sqrt{9+112} = -3\pm 11[/tex] the solution is [tex]x=8, x=-14[/tex] The negative answer is to be discarded, your rectangle has sides 8 and [tex]8+6=14[/tex] miles

The length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

How to find the area and the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Area of the rectangle = (L × W) unit^2

Perimeter of the rectangle = 2(L + W) units

Let the width of the rectangle be represented by W, while the length is represented by L.

Given the width is 6 miles less than its length, therefore, the width can be written as,

W = (L - 6) miles

Now given the area of the rectangle is 112 sq. miles, therefore, the area of the rectangle can be written as,

Area of the rectangle = Length × Width

112 = L × W

112 = L × (L-6)

112 = L²-6L

L = 14, -8

Since the length, L can not be negative, the value of L is 14 miles, therefore, the width will be 8 miles.

Hence, the length of the rectangle is 14 miles and the width of the rectangle is 8 miles.

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a private plane is traveling due east at a rate of 155 mph. a south wind is blowing 35 mph. what is the actual velocity of the plane?

Answers

Answer:

158.9 mph E 12.7° S

Step-by-step explanation:

Since the components of the motion are perpendicular to each other then magnitude of the resultant can be found using the Pythagorean theorem:

|v| = √(155^2 +35^2) ≈ 158.9 . . . . mph

The angle can be found using the tangent relationship:

tan = opposite/adjacent

The angle south of east will be

angle = arctan(35/155) ≈ 12.7°

The velocity vector can be described by ...

158.9 mph E 12.7° S

_____

As a bearing, the vector might be described as either of ...

• 158.9 mph at 102.7°

• 158.9 mph S 77.3° E

Solve for Y (please help me solve!)

Answers

Answer:

  b = 10

Step-by-step explanation:

a) Solve by inspection. b=10 makes both fractions equal to 1.

Both the numerator and denominator of the fraction on the right are 2 greater than those of the fraction on the left. The fractions will be equal when numerator and denominator are equal.

__

b) Multiply by 60 and solve in the usual way.

  6b = 5(b+2)

  b = 10 . . . . . . . . . . subtract 5b

__

c) Expand the fraction on the right, subtract the variable term.

  b/10 = b/12 + 2/12

  b(1/10 - 1/12) = 1/6

  b/60 = 1/6 . . . . simplify

  b = 60/6 = 10 . . . . multiply by 60

_____

Comment on the question

There is no "y", so you cannot solve for y. This is another example of poor quality control (editing) of math curriculum materials. It is my sincere wish that you not have to put up with that. Math is tough enough without this added confusion.

Answer:

b=10

Step-by-step explanation:

is what is the first month of an year an example of a statistical question

Answers

No there is no variability cause the answers will always be the same

this would be a non-stat question

What is m∠B?

Round the value to the nearest degree.

Answers

Answer:

46°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

You are given the lengths of the hypotenuse of the triangle and the side adjacent to the angle you want to find. So, the cosine function describes the relationship:

cos(B) = AB/CB = (20 cm)/(29 cm)

B = arccos(20/29) ≈ 46.397°

B ≈ 46°

Final answer:

The student is looking for the value of an angle, m∠B, which requires solving an equation and rounding to the nearest integer. The provided information does not give a direct method or equation for calculating m∠B, thus an answer cannot be given confidently.

Explanation:

The student is asking to calculate the value of an angle, denoted as m∠B, to the nearest degree. This is a mathematics problem likely involving geometry or trigonometry.

In the information provided, different equations and scenarios for calculating angles and magnitudes are given, but they seem to be disconnected, and the specific question regarding m∠B isn't directly addressed by the provided equations and examples.

Without a direct relationship or equation including m∠B, or a diagram to reference, it is not possible to confidently provide the value of m∠B. However, the excerpts suggest that if we had an equation and needed to find an angle such as m∠B, we would solve the equation and then round the result to the nearest integer, as angles are typically given in integers when degrees of freedom are considered.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the best way to gather information for each of the scenarios?

Select Survey, Experiment, or Observational study for each scenario.

Answers

1.Observation study

2.Survey

3.Experiment

4.Survey

Hope thiz help:)

Final answer:

In choosing between a survey, experiment, or observational study, consider the requirements of your study and the nature of the data you hope to collect. Surveys are good for widespread data, experiments allow control of variables, and observational studies are good for observing natural behavior.

Explanation:

The best way to gather information in research scenarios depends on the nature of the scenarios in question. However, here are brief descriptions for each method:

Survey: This involves collecting information by asking a series of questions. It is good for collecting a large amount of data or when the target population is widespread.Experiment: This involves manipulating one or more variables to determine the effect on another variable. It is generally used when the researcher has control over the variables.Observational Study: This involves observing subjects in their natural environment without interference. It is useful when ethical or practical considerations mean an experiment is not possible.

Depending on the scenario, choose the method that fits best with the data needed and the practical considerations of conducting the study.

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The first row of a section in a stadium has 10 seats. The second row has 11 seats. The third row has 12 seats. This pattern continues and the section has 24 rows.

How many seats are in this section?


answers ?

is it 516?

Answers

Answer: I believe it is 33 seats

Step-by-step explanation:

Answer:

516

Step-by-step explanation:

help help help someone

Answers

Answer:

B

Step-by-step explanation:

This is easier to follow if you write it out the long way.

g(x) = (x + 3)/x

g(f(x)) = (f(x) + 3)/f(x)

g(x^2 - 7) = (x^2 + 7 + 3)/(x^2 + 7)

g(x^2 - 7) = (x^2 +10 ) / (x^2 + 7)

g(-5) = ( (-5)^2 + 10) / ( (-5)^2 + 7)

g(-5) = ( 25 + 10) / (25 + 7)

g(-5) = 35/32

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Cynthia decides she is going to purchase a used passenger car. Her grandparents agree to pay for 50% of the passenger car. To get an idea of prices Cynthia looks at listings in a local used automobile publication and on a local internet site.

Which answer best describes the sample and population?

Answers

Answer:

its going to have to be option c

Step-by-step explanation:

because it shows all the listings of cars next to her

Answer:  D) sample: local listings and internet sites

                    population: all used passenger cars

Step-by-step explanation:

A sample is a subset of items from a larger population.

A population includes all of the elements from a set of data.

Cynthia wants to buy a used passenger car.

All available used cars is the POPULATION

Cynthia looks at local listings and on internet sites.

This is a subset of all available used cars so this is the SAMPLE

Furthermore, she may not find what she is looking for and may expand her subset to include used car lots, etc.

Last year, Norvin purchased 42 shares of Stock A at $50 per share, 124 shares of Stock B at $25 per share, and a four-year $3500 bond with an 8.54% coupon for $5950. Norvin sold both stocks today. Stock A is worth $58 per share and Stock B has a value of $29 per share. Assuming neither stock paid a dividend, which investment has the highest rate of return? (4 points)

Stock A

Stock B

Bond

Stock A and Stock B

And please explain why!

Answers

Answer:

  Stock A and Stock B

Step-by-step explanation:

After 1 year, the value of Stock A is 58/50 = 1.16 times what it was, an increase of 16%.

After 1 year, the value of Stock B is 29/25 = 1.16 times what it was, an increase of 16%.

The bond has coupon value of $298.90 each year, about 5.02% of the amount invested. (However, the value of the bond at the end of 4 years is only $3500, so represents a net loss of about $1254.40 over that time period. We're not quite sure why Norvin purchased this bond at that price.)

Stock A and Stock B have the highest rate of return.

A _____ has two-fold rotational symmetry.

A. circle
B. equilateral triangle
C. square
D. line

Answers

A circle, square and a line has a two fold symmetry.

What is rotational symmetry?

A figure is said to be rotationally symmetric if when it is rotated along its axis remains the same. F

Given is to find the quotient when 6 is divided by 444.

If an object appears identical after a rotation of 180 degrees, that is twice in a 360 degrees rotation, then it is said to have a 2-fold rotation axis. A circle, square and a line has a two fold symmetry.

Therefore, a circle, square and a line has a two fold symmetry.

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Identify the sine function with the given attributes.
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Answers

Answer:

Last option

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

Step-by-step explanation:

The general sine function has the following form  

[tex]y = Asin(bt-\phi) + k[/tex]

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

[tex]\phi[/tex] phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

[tex]A =1[/tex]

[tex]\frac{2\pi}{b}=2[/tex]

[tex]b=\pi[/tex]

[tex]\phi=3[/tex]

[tex]k=4[/tex]

Then the function is:

[tex]f(t)=sin(\pi(t -3)) + 4[/tex]

The answer is last option

Price of automobile= $3,000

Number of payments made in a year=12

Number of payments made = 36

Monthly payment amount = $93.33

True annual interest rate?

Answers

The true annual interest rate for this loan is approximately 1.44 or 144%.

The Breakdown

To calculate the true annual interest rate, we can use the formula for calculating the interest rate on a loan:

True Annual Interest Rate = [(Monthly Payment Amount × Number of Payments) / Loan Amount - 1] × 12

Given the information provided:

Loan Amount = $3,000

Number of Payments = 36

Monthly Payment Amount = $93.33

Substituting these values into the formula:

True Annual Interest Rate = [(93.33 × 36) / 3000 - 1] × 12

Calculating this expression:

True Annual Interest Rate = [(3360 / 3000) - 1] × 12

True Annual Interest Rate = (1.12 - 1) × 12

True Annual Interest Rate = 0.12 × 12

True Annual Interest Rate = 1.44

Therefore, the true annual interest rate for this loan is 1.44 or 144%.

Please help me out ........!!!

Answers

Answer:

x= 437.3 ft

Step-by-step explanation:

1: You need to find the angle opposite of x. :

         90-29 = 61 degrees.

2. Use the trig function sine and substitute values:

         sin61= (x/500)

         500sin61 = x

         x=437.309 ft

18, 19, 20, 20, 23, 26, 260
What is the better measure of center for these data? Mean or median? Why? Explain your answer.

Answers

Answer:

Median

Step-by-step explanation:

This set of data has an extreme outlier, which will throw off the mean. The median, on the other hand, does not change or changes minimally whether or not the outlier is there.

By default, the mean is always better, but if an outlier, such as this one, is too large, the median is better.

Can someone please explain this.

Answers

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

Identify the volume of a cone with radius 6 m and height 11 m. HELP PLEASE!!

Answers

Answer: 414.48

Step-by-step explanation:

r: the radius of the base

h: height

The volume of a cone is given by:

V = π ∙ r2 ∙ h / 3,

where π ∙ r2 is the base area of the cone.

π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

Answer:

V = 414.7 m3

Step-by-step explanation:

Thats your answer :))

A wall with an area of (3x2 + 4x + 1) square units has a rectangular window that has a width of (x + 2) units and a length of (x + 1) units. The wall also has a built-in shelving unit that occupies an area of (x2 + 5x + 6) square units of wall space. If the wall is to be covered with wallpaper, how much wallpaper will be required?

Answers

Answer:

the total available area = (3x^2 + 4x + 1) - (2x^2 + 8x + 8) = x^2 - 4x - 7

Step-by-step explanation:

The question seems to ask available area and not how much wallpaper is required. Let's calculate the area of the rectangular window. Area of a rectangle = Length * Breath Area = (x + 2) * (x + 1) = x^2 + 3x + 2 The wall also has a built- in shelving unit that occupies an area of (x^2 + 5x + 6). So total area occupied by the rectangular wall and shelf is (x^2 + 3x + 2) + (x^2 + 5x + 6) = 2x^2 + 8x + 8. If the wall is to be covered with wallpaper

Sorry for the wait

Jennifer works part time making crafts. She is paid $12 for each plaque that she completes. One particular week, she made 30 plaques. Find her gross income for the week.

Answers

Answer:

360

Step-by-step explanation:

Final answer:

Jennifer earned a total of $360 by making 30 plaques in one week.

Explanation:

The subject of this question is Mathematics. Your question is how much Jennifer earned for making 30 plaques in one week if she's paid $12 each. To find out, you simply multiply the number of plaques (30) by how much she earns for each one ($12). So, 30 plaques * $12/plaque = $360. Therefore, Jennifer's gross income for the week is $360.

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What is the value of d?


Round your answer to the nearest tenth.

Answers

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d²  = 21² + 27² - 2(21)(27) cos (25)

d²  = 441 + 729 - 1027.75

d²  = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

If the angle of elevation of the escalator is 10° 21’ 36° find th length of the escalator (picture provided)

Answers

Answer:

The length of the escalator ≈ 1088.8 ft ⇒ answer (b)

Step-by-step explanation:

* Lets explain the problem

- Consider the escalator and the vertical raise formed a right

 angle triangle

- The length of the escalator is the hypotenuse

- The vertical rise is on leg of the right triangle

- The angle of elevation is the angle between the hypotenuse

  and the horizontal

* Now lets solve the problem

∵ Angle of elevation = 10° 21' 36"

∵ Vertical distance = 195.8 feet

* The vertical is opposite to the angle of elevation

∴ sin angel of elevation= the vertical/the length of the escalator

∴ sin(10° 21' 36") = 195.8/the length of the escalator

- By using cross multiplication

∴ The length of the escalator = 195.8/sin(10° 21' 36") = 1088.8 feet

* The length of the escalator = 1088.8 ft

PLEASE HELP! Daniela has a rectangular yard with a pool in the shape of a semicircle. How many square feet of grass does Daniela need to cover her yard, but not the pool?

Answers

Answer:

Part 1) Area of rectangle [tex]3,600\ ft^{2}[/tex]

Part 2) Area of semicircle [tex]1,413\ ft^{2}[/tex]

Par 3) Total area of grass [tex]2,187\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The total area of grass is equal to the area of rectangle minus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

[tex]A=45*80=3,600\ ft^{2}[/tex]

step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=60/2=30\ ft[/tex] -----> the radius is half the diameter

substitute

[tex]A=\frac{1}{2}(3.14)(30)^{2}[/tex]

[tex]A=1,413\ ft^{2}[/tex]

step 3

Find the total area of grass

[tex]3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}[/tex]

What is the point of intersection when the system of equations below is graphed on the coordinate plane?


A) (0, 4)

B) (4, 0)

C) no intersection point

D) infinite intersection points

Answers

D. Infinite intersection points

Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.

Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.

Write an equation in standard form for the circle shown.

Answers

Answer:

B

Step-by-step explanation:

The intercepted angle is given as "34x+4"

The arc is 196.

Any intercepted angle of an arc that falls in the opposite circumference, it will have a measure half that of the arc intercepted.

Hence,

34x+4 = (0.5)(196)

34x + 4 = 98

34x = 98 - 4

34x = 94

x = 94/34 = 2.76

Answer choice B is right.

Which equation can be used to find the value of x?

Answers

the answer is B. hope this helps.

Answer:

the answer is B)

Step-by-step explanation:

Find the real number root

Answers

Answer:

There is no real number root

Step-by-step explanation:

There is no real number root because there is a negative number inside the root.

Answer

No real number root

MethodThere is no real number root because it is a negative number
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