Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)

Answers

Answer 1

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%


Related Questions

The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star.

Answers

We need a picture for that lol for taht

Simplify.
Remove all perfect squares from inside the square root.
√52x^4

Answer is: 2x^2 √13

Answers

Answer:

2x^2 √13

Step-by-step explanation:

Question
Given matrix A shown below, find 6 A

Answers

Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

whats 1/8 y = 38 ?
how would i do this

Answers

Answer:

304

Step-by-step explanation:

I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]

[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]

[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]

[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]

[tex]\mathsf{y = 8\times38}[/tex]

[tex]\mathsf{8\times38 = \bf 304}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A sample of a radioactive isotope had an initial mass of 450 mg in the year 2005 and decays exponentially over time. A measurement in the year 2012 found that the sample's mass had decayed to 310 mg. What would be the expected mass of the sample in the year 2017, to the nearest whole number?

Answers

Answer: 238

Step-by-step explanation:

Circle P has a circumference of approximately 75
inches.
What is the approximate length of the radius, r? Use 3.14
for y. Round to the nearest inch,
12 inches
D24 inches
38 inches
46 inches

Answers

Answer:

12 in

Step-by-step explanation:

C=2pi *r

75/2(3.14)=r

r=75/6.28

~11.94~12 inches

if my answer helps please mark as brainliest

Answer:

12 in

Step-by-step explanation:

Circumference:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.95 ≈ 12

a number divided by 22 .?
A)22/x, B)22+x, C)x/x-22, D)x/22​

Answers

Answer:

D

Step-by-step explanation:

Let the number be n.  Then "a number divided by 22" would be n/22 (Answer D)

The number divided by 22 can be written as x / 22, so option D is correct.

What is division?

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

A number divided by 22,

Here, the divisor = 22

Assume the number is x

Then, dividend = x

Thus, expression can be written as,

dividend/divisor = x / 22

To know more about division:

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i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP

Answers

Answer:

what school you do

Step-by-step explanation:

what grade

4m - - - - >4x10=40m^2

6m - - - - >6x10=60m^2

Please help asap Find the area of this circle. Use
3.14 for it.
108 in.
The area of the circle is about in.2.
(Round to the nearest hundredth as needed.)

Answers

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

If you invested $2000 in an account that paid 8% annual interest compounded quarterly, how much would the account be worth in 10 years?

Answers

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

                               

The mixed number 2 5/6 is equivalent to a fraction with a
denominator of 6.

What is the missing numerator in the equivalent
fraction?

Answers

Answer:

6 x 2 = 12 then add 5, answer is 17

i am really confused ​

Answers

Answer:

A

Step-by-step explanation:

Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12√5)/5. What is the length of the smaller leg? Round to the nearest hundredth

Answers

Answer:

5.4 is the length

Step-by-step explanation:

5.333 - (12√5)/5 - round to nearest hundreth (5.4)

length total 5.4

Thanks and Rate my Answer Please!

The length of the smaller leg is 3.8 unit.

What is Pythagoras theorem?

Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Let the length of the leg be b and a.

According to the given question.

We have a rigth triangle which have congruent legs.

And hypotenuse, c = [tex]\frac{12\sqrt{5} }{5}[/tex]

Since, the legs are congruent.

Therefore,

a = b

Now, according to the Pythagoras theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]\implies c^{2} = a^{2} + a^{2}[/tex]

[tex]\implies c^{2} = 2a^{2}[/tex]

[tex]\implies (\frac{12\sqrt{5} }{5} )^{2} = 2a^{2}[/tex]

[tex]\implies \frac{144\times 5}{25} = 2a^{2}[/tex]

[tex]\implies \frac{144}{5} = 2a^{2}[/tex]

[tex]\implies \frac{72}{5} = a^{2}[/tex]

[tex]\implies a = \sqrt{\frac{74}{5} }[/tex]

[tex]\implies a = \sqrt{14.8}[/tex]

[tex]\implies a = 3.84[/tex]

[tex]\implies a = 3.8[/tex] unit

Hence, the length of the smaller leg is 3.8 unit.

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Which is not a true statement about the disadvantages of certain methods of payment?

Answers

Answer:

I dont know explaining more its not clear plz explaining ore

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²/2x + 6/
3х - 5/X +3

Answers

Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

What is a rational expression?

A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.

For the given situation,

The rational expression is

7x²/(2x + 6) ÷ (3х - 5)/(x +3)

⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]

In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.

⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]

⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]

⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]

Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.

Learn more about rational expression here

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Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?

Answers

Answer:

Zane needs 240 strings for 5 harps.

Step-by-step explanation:

All you have to do is multiply

48 * 5 = 240

So, the answer is 240

Hope this helps! :)


What is the area of the parallelogram
shown above?
[?] square feet

Answers

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158

Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?

Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Answers

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

Easy math help ,,,,,,The set of ordered pairs shown below represents a linear function. What is one other pair of coordinates that could be the missing ordered pair (x, y) in this set? Show or explain how you determined your answer.
(-4,-2),(0,-1),(4,0),(x,y)

Answers

Answer:

(8, 1)

Step-by-step explanation:

The mx for this set of coordinates is 4x so the next point in this set would be (8, 1)

Answer: (8,1)

Explanation:

I need help with my math assignment

Answers

x+15=102
102-15=x
x=87
Please give me brainliest

Each side of a square potholder is 21 centimeters long.

What is the area of the potholder?

Answers

The answer is a 441 cm area

Are these 4 questions correct? If anything is wrong, let me know and tell me what is correct.

Answers

Answer:

they're all correct

Step-by-step explanation:

I think, if it's wrong I'm very sorry, but I'm fairly sure they're right

hope this helps:)

28, 22, 16, 10,...
O Arithmetic
O Geometric
O Neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Sequences:

A sequence is called arithmetic if the difference between consecutive terms is the same.

A sequence is called geometric if the quotient between consecutive terms is the same.

In this question:

28 - 22 = 22 - 16 = 16 - 10 = ... = 6

Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.

This angle cuts out 1/4 of the circle. Find the measure of the angle.

Answers

Answer:

90 degrees

Step-by-step explanation:

Jonas has 16 carnations and 12 roses. He wants to make identical bouquets for a party. How many bouquets can he make?

Answers

Answer:

Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

Step-by-step explanation:

Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:

12 = Divisible by 2, 3, 4, 6 and 12

16 = Divisible by 2, 4, 8 and 16

Thus, the common greatest divisor between the two numbers is 4.

12/4 = 3

16/4 = 4

So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

Solve the equation using the method of completing the square.

Answers

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Answer:

D

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )

x = - 4 ± 2[tex]\sqrt{5}[/tex] → D

Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?

Answers

Answer:2.2%

Step-by-step explanation:

I need help please fast .................

Answers

Answer:

I have no idea what sohcahtoa is but:

tan 50.1° = x/5

1.196 = x/5

multiply both sides of the equation by 5:

x = 5.98

GIVING BRAINLIEST PLS HELP
(x + 3)^2 – 3 = 0
lesser x =
greater x=

Answers

^ I got same thing as above
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