Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of theâ balance, not all the readings are equal. The results are found to closely approximate a normalâ curve, with mean 82 g and standard deviation 3 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings between 79 g and 85 g

Answers

Answer 1

Using the Empirical Rule, it is found that 95 students reported readings between 79 g and 85 g.

What does the Empirical Rule state?

It 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, considering that the mean is of 82g and the standard deviation is of 3g, readings between 79g and 85g are within one standard deviation of the mean, hence it will compreend 68% of the 140 readings, so the number of students is given by:

0.68 x 140 = 95.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145


Related Questions

A can of vegetables is 4.5 in. high and has a diameter of 3 in. Find the volume of the can to the nearest tenth of a unit. Use 3.14 for π.

Answers

Answer:

i dont know i tried really really hard i wish i could help

Step-by-step explanation:

please give me answer
please give me answer​

Answers

Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

can someone help me with this?

Answers

Answer:

66°

Step-by-step explanation:

mJK = ( 6x - 45 )°

mJH = ( x + 20 )°

mJK = mJH

6x - 45 = x + 20

5x = 65

x = 13

mHK = ( x + 20 )° + ( 6x - 45 )°

mHK = 2 × 33° = 66 °

2. How do you know if two ordered pairs lie along the same vertical line?

Their x-coordinates are the same.

The line always has the equation x = -2.

Their y-coordinates are the same.

The line always passes through the origin.​

Answers

Answer:

1st option

Step-by-step explanation:

A verical line parallel to the y- axis has equation

x = c ( c is the value of the x- coordinates the line passes through )

thus the x- coordinates are the same

what is the equation of the line that passes through the point (-2,-8) and has the slope of 1

Answers

Answer:

y=x-6

Step-by-step explanation:

help mean is 7.8 and standard deviation is 1 will give brainly

Answers

Answer:

a) Mean shoe size = 7.8

b) 8.8, 9.8 and 10.8

c) see attached

d) Shoe size

Step-by-step explanation:

[tex]\sf Mean \ \mu= 7.8[/tex]

[tex]\sf Standard \ deviation \ \sigma= 1[/tex]

Therefore,

[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]

The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches

Answers

Answer:

the 2nd one

Step-by-step explanation:

i did the test and got correct


What is the image of (-4,-2) after a reflection over the line y = -x?

Answers

Answer:

(2, 4).

Step-by-step explanation:

For y = -x  the transform is:

( x, y )  reflects to (-y, - x)

So (-4, -2) reflects to (2, 4)

Find the base of the triangle whose area is 28 cm2 and height is 7 cm.

Answers

Answer:

8 cm

Explanation:

A = 1/2 × b × h.

28 = 1/2*b*7

56=7b

8=b

I need help with this

Answers

Answer:

A) 38,000

B) 28.6%

Step-by-step explanation:

wats 4000 squared and 40*7

Answers

Answer:

4000 squared is 16 000 000
40*7 = 280

Explanation:

4000^2 is 4000*4000
And 4*70 = 280

Please mark brainliest

Answer:

16000280

Step-by-step explanation:

hope this helps.

Locate root 9.8 on number line

Answers

Answer: See attached

Step-by-step explanation:

    "Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].

    Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.

   

   Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.

Help me please I don’t know what to do

Answers

Answer:

You didn't include the question, so people are unable to help you.

Xaviera went out to play soccer at 5:31 and returned home at 7:00 how long was she playing soccer

Answers

Step-by-step explanation:

she played for about 1 hour 29 minutes

Answer:

1 hour and 29 minutes or 89 minutes

What is the answer to this???

Answers

Answer:

Search it up on the internet

Step-by-step explanation:

hope this helps

Please need help this question

Answers

Answer:

b they are perpendicular

Step-by-step explanation:

they intersect each other at point D

Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.

Answers

Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:

[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]

[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]

[tex]x_A = 20982.9[/tex]

At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:

[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]

[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]

[tex]x_B = 8922.1[/tex]

The distance in feet is given by:

[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

Jack hit a baseball on 13 out of 30 tries during practice. what is the experimental probability that he will hit the ball on his next trial write your answer as a fraction as a decimal and as a percent​

Answers

Answer:

Fraction: 13/30

Decimal: 0.43

Percentage: 43%

Find the volume of the figure below.

Answers

Answer:

B. 86.625

Step-by-step explanation:

To find the volume of a shape the formula is this, length x width x height. 5.5 x 4.5 x 3.5 = 86.625.

Solve for x.
Enter your answer in the box.
X=

Answers

Answer:

x = 30

Step-by-step explanation:

2x - 6

-----------  =  9

    6

2x - 6

-----------  =  9(6)

    6(6)

2x - 6 = 54

     +6    +6

2x = 60

÷2    ÷2

x = 30

I hope this helps!

find the x !
please hurry! Thank you!

Answers

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

x=2/2

x=1

Answer:

x = 41

Step-by-step explanation:

the 2 angles are adjacent and sum to 180° , that is

2x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41


Help!!!!

The line segments in the circle to the right are both diameters with
length 2. Find the area of the white region. Leave your answer in
terms of pie

Answers

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

The following graph shows the low temperatures for the past six nights. What was the low temperature for Saturday?

Answers

Answer:

31° F

Step-by-step explanation:

Although it is hard to see, Saturday's low temperature is approximately 31°. This is evident in its relative position to Friday's temperature, which measures 30° F -- Saturday is just one degree higher.

Hope this helps!

Answer:31

Step-by-step explanation:

The weights of books in a bookcase are normally distributed with a mean of 13. 5 pounds and a standard deviation of 2. 3 pounds. There are 145 books on the bookshelf how many of the books will weigh 11 pounds or more

Answers

89.09% of books will weigh 11 pounds or more, then the number of books will be 129.

What is a z- score?

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.

Then the z-score when the books will weigh 11 pounds or more will be

[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]

Then the probability will be

[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]

89.09% of books will weigh 11 pounds or more, then the number of the books will be

=145 × 0.8909

=129.1805 ≈ 129

More about the z-score link is given below.

brainly.com/question/15016913

#SPJ1

& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8

Answers

Answer:

[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

x+2y=11 and 4x-y=8

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

Therefore, the correct answer is x=3 and y=4.

I hope this helps you! Let me know if my answer is wrong or not.

I have a proof and I need help!

Answers

Answer:

Step-by-step explanation:

Prove triangle ABC is congruent to triangle DEF.

Answers

Answer:

Step-by-step explanation:

Rotate triangle DEF 90° and translate it up 1 point, and left 2 points.

PLEASE HELP I NEED IT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

what is the problem ? you teacher gave you even the conversion rates in the question.

so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?

4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.

4 gallons = 4×3.79 = 15.16 ≈ 15 liters

and e do the same for all the other table elements :

8 liters = 8×0.26 = 2.08 ≈ 2 gallons

12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons

6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters

If I had a grade of 81 in a mathematics class and earned a 90 on a TEST grade, what would be the grade then be?

Answers

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Mark before=81Mark after=90

Total

81+90171

Grade

171/285.5

Find the perimeter of the composite figure

Answers

Answer:

104+16π

Step-by-step explanation:

Triangle Formula is bh1/2

Rectangle is lxw

Semicircle is 1/2 π r^2

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