Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.23cm and a standard deviation of 0.35cm. Using the empirical rule, what percentage of the apples have diameters that are no more than 6.18cm? Please do not round your answer.

Answers

Answer 1

Answer:

0.15% of the apples have diameters that are no more than 6.18cm.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.23, standard deviation = 0.35.

What percentage of the apples have diameters that are no more than 6.18cm?

6.18 = 7.23 - 3*0.35

So 6.18cm is three standard deviations below the mean.

99.7% of the measures are within 3 standard deviations of the mean. The normal distribution is symmetric, which means that (100-99.7)/2 = 0.15% is 3 standard deviations or more below the mean, and 0.15% is 3 standard deviations or more above the mean.

Thus, 0.15% of the apples have diameters that are no more than 6.18cm.


Related Questions

you have a set of 10 cards numbered 1 to 10. you choose a card at random. Event A is choosing a number less than 7. Event B is choosing an odd number. Calculate the probability. P(A)​

Answers

Answer:

6/10 for event A or 3/5 reduced

5/10 for event B or 1/2 reduced Hope that helps!

Choose which categories are ordinal data related to dogs.

species of dogs
size of dogs
fitness level of dogs
type of food
amount of rest of dogs

Answers

Answer:

I don't understand this question please write again

Expand and simplify (x-3)(x+5)

Answers

Answer:

x2+2x−15

Step-by-step explanation:

Answer:

x^2 + 2x - 15

Step-by-step explanation:

X × X + 5x - 3x - 3 × 5 =

x^2 + 5x - 3x - 3 × 5 =

X^2 + 2x - 15

also x^2 means x to the 2nd power

I can’t figure this stuff out

Answers

Answer:

[tex]3\sqrt{85}[/tex] = EC

Step-by-step explanation:

21² + 18² = EC²

441 + 324 = EC²

765 = EC²

[tex]\sqrt{765}[/tex] = EC

Simplified: [tex]3\sqrt{85}[/tex] = EC

Hope this helps!

You know that 4 notebooks and 3 pens cost $96, while 2 pens and 2 notebooks cost
$54. How many dollars are 8 notebooks and 7 pens worth?

Answers

Answer:

Let p be the number of pens and let n be the number of notebooks.

4 notebooks + 3 pens cost $96 so 4n + 3p = 96

2 notebooks + 2 pens cost $54 so 2n + 2p = 54

We find n and p by solving the system of linear equations:

4n + 3p = 96

2n + 2p = 54

4n + 3p = 96

4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)

We then subtract the two equations:

(4n + 3p) - (4n + 4p) = 96 - 108

-p = -12

p = 12

So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:

2n + 2p = 54

2n + 2(12) = 54

2n + 24 = 54

2n = 30

n = 15

So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:

8n + 7p = ?

8(15) + 7(12) = ?

120 + 84 = 204.

Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).

Answer:

204

Step-by-step explanation:

:)

Compare two images shown here. In what ways are
they alike?In what ways are they different?

Answers

Step-by-step explanation:

they are the same such that the part labelled x is the same as the part labelled 2

Find the surface area of each sphere shown below. Round you
32 yd

Answers

Answer:12,867.964yd^2

Step by step solution:

Surface area of a sphere = 4pi(r^2)

If the radius is 32 yards which I believe this is saying then

4*3.14*(32)^2=12,868yd^2

I couldn’t see what it needed to be rounded to the full answer is
12,867.964 yd^2 round as needed

There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
How many people didn't use any facilities

Answers

Answer: 97/125

Step-by-step explanation:

If You can pls answer all 4 with the equations


•What is the value of the expression
6x - 2y +5y when x=10 and y=3?

•If x - 16 = 29, what is the value of 2(x + 5)

•What is the value of 3n² - 4m ÷ 6 when n=4 and m=18?

•Find the value of (⅑)³​​

Answers

9514 1404 393

Answer:

69100-241/729

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. Your calculator can help.

1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69

__

2. add 16 to find x.

  x -16 = 29

  x = 45

Then do the substitution:

  2(45 +5) = 2(50) = 100

__

3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24

__

4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729

Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The measure of angle R is 55º. Write an equation that can be used to determine the value of x?​

Answers

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

Their sum is 90

55+5x+10=180

Solve it

5x+65=905x=25x=5

Which figure is described below?
The locus of points in a plane
equidistant between y = 5 and
y = -3.

A. 1 line
B. 1 plane
C. 2 planes
D. 2 lines

Answers

Answer:  A) 1 line

============================================================

Explanation:

The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).

Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)

Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)

The midpoint of (1,5) and (1,-3) is (1,1)

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).

So that's why the answer is A) 1 line

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

Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.

Which of the following figures are rhombuses?

Figure A is in shape of kite, Figure B is parallelogram, Figure C is rectangle, Figure D is kite and Figure E is a square.
A. A, B, and C
B. A, B, and D
C. B, D, and E
D. A, B, and E

Answers

Answer:A

Step-by-step explanation:

Kite flipped 90 degrees is a rhombus, the typical one at least

Can Someone please help?

Answers

Answer:

c) 3/12

Step-by-step explanation:

This is because if we bring 3/12 to its lowest form,

(3/3)/(12/3) = 1/4

Hope it helps :)

Are these ratios equivalent?
$6 for 57 visitors
$10 for 95 visitors

Answers

Answer:

You got it! 9.5 per dollar

Step-by-step explanation:

6:57 and 10:95 I think the other person probably gave u a better answer

1 light second into Kilometers
Answer by using two significant figures

Answers

Answer:

3.0 x 10^5 km

Step-by-step explanation:

c = 299,792,458 metres per second

c = 299,792 km per second

1 light second =  299,792 km

To two significant figures

300,000 km

3.0 x 10^5 km

In 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

Step-by-step explanation:

The definition of speed is the distance covered per unit time.The speed of the light in a vacuum is [tex]3.0\times 10^8 m/s[/tex]..The 1 light second is defined as the distance traveled by light in 1 second in free space.

To find:

Value of 1 light  second into Kilometers

Solution:

Speed of light in space = [tex]3.0\times 10^8 m/s[/tex]

This means that in 1 second light travels [tex]3.0\times 10^8 m/s[/tex].

1 m = 0.001 km

The distance traveled by the light in Km in a second will be:

[tex]3\times 10^8 m= 3\times 10^8\times 0.001 km =3.0\times 10^5 km[/tex]

So, from this, we can conclude that in 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

Learn more about Light seconds here:

https://brainly.com/question/8910249

rectangle measures 2 1 4 units by 4 1 2 units. What is its area?

Answers

Answer:

10 1/8

Just look it up or something, that's what i did

The area of the given rectangle is 10 1/8 units².

What is Surface Area?

The region is the space taken up by a flat, two-dimensional surface. Its unit of measurement is the square. A three-dimensional object's surface area is the area occupied by its exterior surface. It is also measured in square units.The total surface area is the area encompassing the base(s) and the curving part. It is the whole area that the surface of the object takes up. A shape with a curved base and surface has a total area equal to the sum of the two areas.

As per the given data:

Measurement of the rectangle is given by

2 1/4 units by 4 1/2 units

= 2 1/4 × 4 1/2 units²

To find the area of a rectangle:

Area = length × width

From the given data

length = 4 1/2 units

width = 2 1/4 units

Area = 2 1/4 × 4 1/2 units²

= 9/4 × 9/2 units²

= 81/8 units²

= 10 1/8 units²

Hence, The area of the given rectangle is 10 1/8 units².

To learn more about surface area, click:

brainly.com/question/29298005

#SPJ3

54 divided by u = 9.

Answers

Answer:

6 = u

Step-by-step explanation:

54 / u = 9

We have to isolate "u" all by itself;

54 = 9*u

54 / 9 = u

6 = u

Hope this helps!

Answer:

6

Step-by-step explanation:

We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,

Equation :-

→ 54/u = 9

→ 1/u = 9 × 1/54

→ 1/u = 1/6

u = 6

Hence the required answer is 6.

Help plz:)))I’ll mark u Brainliest

Answers

That’s an Acute angle
THAT IS AN ACUTE ANGLE!!!

You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.

Answers

Answer:

Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm

Step-by-step explanation:

Find the surface area of the above solid.
A. 52 cm2
B. 43 cm2
C. 54 cm2
D. 58 cm2

Answers

Answer:

A.52 cm2 ihope ihelp po hehe

Will give brainliest answer

Answers

Answer:

a

Step-by-step explanation:

A paper company sells paper for $1.50 per package. They have an overhead cost of $1800. Write an equation which depicts their situation.

Answers

Answer:

x = 1.50p - 1,800

Step-by-step explanation:

The equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

We have a paper company sells paper for $1.50 per package with an overhead cost of $1800.

We have to write an equation which depicts their situation.

What is Overhead cost?

Overhead cost to the company are the expenses other than the expenses during the generation of any product or service by that company. These expenses are somewhere needed and a certain amount of money is spent on them independent of the fact how much profit your product or service is generating. Concluding, we can say -

Overhead cost = Unwanted expense to the company

According to question -

Let's assume that the company sells [tex]x[/tex] pieces of paper for $1.50.

The overhead expenses = $ 1800

Hence, the equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

To solve more questions on creating a equation for a situation, visit the link below -

https://brainly.com/question/14916924

#SPJ2

Use 1/2ab sin C formula pls

Answers

Step-by-step explanation:

[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]

Exact value of csc 570 degrees and tell me the lengths of the sides of the triangle

Answers

Answer:

[tex] \csc(570 \degree) = \frac{1}{ \sin(570 \degree) } \\ = \frac{1}{ - 0.5} \\ = - 2[/tex]

can I please get help? Will give brainliest

Answers

Answer:

x=-8

Step-by-step explanation:

First multiply both sides by 8

-6=-[tex]\frac{7}{8}[/tex]x-13

Next, move the terms so that x is by itself

-48=-7x-104

7x=-104+48

Finally, you can solve

7x=-56

x=-8

The other person is correct



a5.41 m
b5.25 m
c5.05 m
d5.04 m

Answers

Answer:

d is right broooooooooooooooo

Answer:

d

Step-by-step explanation:

5.4 is the ans ..hope it helps

please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)

Answers

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

9. Find the missing measure on this right
triangle using the Pythagorean Theorem.
? =
7ft
15ft

Answers

a^2+b^2=c^2

7^2+15^2=c^2

49+225=c^2

274=c^2

Sqr on both sides, you get

C= 16.6pft

A 0.68 kg tennis ball is given an angular momentum of 2.72 X 10-3 kg.m2/s when struck by a racquet. If its radius of gyration is 2 cm what is its angular velocity?

50 POINT QUESTION!! Any help is appreciated, thank you!

Answers

Answer:

The angular velocity of the tennis ball is 10 radians per second.

Step-by-step explanation:

The tennis ball can be represented as a particle, the angular momentum ([tex]L[/tex]), in kilogram-square meter per second, of the tennis ball is described by the following formula:

[tex]L = m\cdot r^{2}\cdot \omega[/tex] (1)

Where:

[tex]m[/tex] - Mass of the tennis ball, in kilograms.

[tex]r[/tex] - Radius of gyration, in meters.

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

If we know that [tex]m = 0.68\,kg[/tex], [tex]r = 0.02\,m[/tex] and [tex]L = 2.72\times 10^{-3}\,\frac{kg \cdot m^{2}}{s}[/tex], then the angular velocity of the tennis ball is:

[tex]\omega = \frac{L}{m\cdot r^{2}}[/tex]

[tex]\omega = \frac{2.72\times 10^{-3}\,\frac{kg\cdot m^{2}}{s} }{(0.68\,kg)\cdot (0.02\,m)^{2}}[/tex]

[tex]\omega = 10\,\frac{rad}{s}[/tex]

The angular velocity of the tennis ball is 10 radians per second.

what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2

Answers

y = 4

Step-by-step explanation:

2x + 3y = 6. #1

2x + y = -2. #2

Subtract Eq 2 from Eq 1,

3y - y = 6 - (-2)

2y = 8

or

y = 4

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

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