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

Problem is in picture

Answers

Answer:

< ABC+<QRS=180

m<QRS=180-140=40°

Answer:

Solution given:

<ABC+<QRS=180° {supplementary]

m<QRS=180°-140°=40° is your answer

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18

Answers

Answer:

The answer is C, x = 7.

Step-by-step explanation:

3x + 7 = 28

-7. -7

3x = 21

/3. /3

x = 7

The answer is C. X=7. The rest don’t even make sense

cesium-137 has a half-life of approximately 30 years. how much of a 40g sample would be left after 90 years?

Answers

Answer:

5g

Step-by-step explanation:

the first half life would be 20 the next, 10. and lastly 5

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.

Answers

Answer:

i got 20 weeks. i divided 180 by 9 and i got 20. i'm not sure if it's what you're looking for, but i hope it helps.

Step-by-step explanation:

A tutor earns $220 for 4 hours of tutoring. At the same rate, how much would the tutor earn for 3 hours of tutoring?

A. $150
B. $155
C. $165
D. $180

Answers

The answer choice that is correct is
C

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions

The area of Region A is the same as the area of region c true or false

Answers

Answer:

True

Step-by-step explanation:

What is the slope of the line 3y = 4x + 5?

Answers

Answer:

4/3

Step-by-step explanation:

what is 2 x 2? answer dumly

Answers

WRONG ANSWERS ONLY... 4
It is 4 or 22. Wait...no it’s0️⃣

sese

Sam has a phone card that charges $1 to connect and $0 50 per minute. He also uses a cell phone that charges $3 to connect and $0.25 per
minute. In how many minutes will calls made using the phone card and the cell phone cost the same?

Answers

Answer:

8

Step-by-step explanation:

Running at an average rate of 10 m/s, a sprinter ran to the end of a track and then jogged back to the starting point at an average of 5 m/s. The sprinter took 60 s to run to the end of the track and jog back. Find the length of the track.

d=300md is equal to 300 m

d=200md is equal to 200 m

d=600md is equal to 600 m

d=150md is equal to 150 m

Answers

9514 1404 393

Answer:

  200 m

Step-by-step explanation:

Let d represent the length of the track in meters. The relation of interest is ...

  time = distance/speed

Then the total time to run and walk back is ...

  60 = d/10 + d/5

  600 = d + 2d

  200 = d . . . . . . . divide by 3

The length of the track is 200 meters.

_____

200 m in 20 seconds is a world-record time for a woman; a very good time for a man.

A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?

Answers

Answer:

46.288 megabytes

Step-by-step explanation:

megabytes that have been downloaded

= 17.6% of 263

[tex] = 0.176 \times 263 \\ = 46.288[/tex]

Question 2
A laboratory did 36 blood tests on Monday, 43 on Tuesday,
29 on Wednesday, and 48 on Thursday. What is the mean
(average) number of blood tests the lab did each day?
answer choices :
o 45
o 42
o 39
0 33

Answers

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

10th grade geometry question. I will give brainliest. NEED HELP ASAP

Answers

Answer:

(-4+5)-1

Step-by-step explanation:

id really appreciate it if someone helped me , i’ll give you brainliest

Answers

Answer: it’s the same 110 degrees

Step-by-step explanation:

Answer: 110 is the correct answer

What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?

Answers:

A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down​

Answers

I’m pretty sure- B) counterclockwise rotation
-
-

Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

Plzzzzzz helppppp meeee !!!

ABC is similar to FED. Answer the questions to find the length of DF.


1. Which side in AFED does AB in AABC correspond to?


2. Which side of FED does CB in ABC correspond to?


3. Which side of FED does AC in the ABC correspond to?


4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.


5. What is the length of side DE? Show how you found the length.


6. Use the Pythagorean theorem to find the length of side FD. Show your work.

Answers

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

[tex]k =2[/tex]

[tex]DE = 6[/tex]

[tex]FD=10[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

[tex]k = \frac{FE}{AB}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

[tex]k = \frac{DE}{CB}[/tex]

[tex]2 = \frac{DE}{3}[/tex]

[tex]DE = 2 * 3\\[/tex]

[tex]DE = 6[/tex]

Solving (f): Length of FD

Using Pythagoras:

[tex]FD^2 = DE^2 + EF^2[/tex]

[tex]FD^2 = 6^2 + 8^2[/tex]

[tex]FD^2 = 100[/tex]

[tex]FD = \sqrt{100[/tex]

[tex]FD=10[/tex]

Solve for mZIJL.
K
\100°
52°
o
Answer: mZIJL
Submit Answer

Answers

Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

606 divided by 49 in long division ​

Answers

12.(367346938775510204081632653061224489795918) = 12 remainder 18

Answer:

12 <----

Step-by-step explanation:

the remainder is 18 but the answer is 12 and the full thing would be

------> 6.18367346939

please help me with this

Answers

Answer: [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]

For

[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]

It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to  [tex]\dfrac{\sqrt{3}}{2}[/tex]

Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]

PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!​

Answers

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

somebody please help this is due in a couple of hours :(

Answers

Answer:

Step-by-step explanation:

when do we say two points are said to be collinear​

Answers

Answer:

never heard of that word lol

Step-by-step explanation:

Find the 12th term of the geometric sequence 9, 27, 81, ...

Answers

Answer:

177,147 is the 12th term

Step-by-step explanation:

multiply each term by 3

1, 3, 9, 27, 81, 249, 729, 2,187, 6,561, 19,683, 59,049, 177,147

list from 1st  to 12th term...

ty.

Find the measure of 44.
s
24
158°
ts
64 = [?]

Answers

Answer:

∠4 = 22

Step-by-step explanation:

Hello There!

The angles shown are consecutive interior angles

If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180

So we can find the missing angle by subtracting the given angle (158 in this case) from 180

180 - 158 = 22

so we can conclude that ∠4 = 22

180.timr3fzgncvdfccfxdfdxxfhk

180-158=22

the measure is 44

You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%
interest. How much do you need to deposit each month to meet your retirement goal?
Round your answer to the nearest cent.
Do NOT include the dollar sign.

Answers

Answer: 123.05

Use annuity formula

Answer:

Step-by-step explanation:

Since we're talking about making a deposit of a certain amount every month rather than just one big deposit, we are talking about an annuity. The formula for the value of an annuity is A(t)=d[(1+rn)nt−1](rn) where A(t) is the value of the annuity, d is the amount of each deposit, n is the number of deposits per year, t is the number of years, and r is the rate of interest. In this case we know we want the value of the annuity to be A(t)=$150,000, we want to make deposits every month, or 12 times a year, so n=12, we want to reach our desired value in 30 years, so t=30, and our account earns 7% interest, so r=0.07. We can plug in all of these values and solve for d to find the amount we need to deposit each month:

A(t)150,000150,000150,000d=d[(1+rn)nt−1](rn)=d[(1+0.0712)12⋅30−1]0.0712≈d[(1.00583)360−1]0.00583≈1,219.97d≈122.95

The amount you need to deposit each month is approximately $122.95.

Help me please with my IXL GEOMETRY

Answers

Answer:

7.5

Step-by-step explanation:

hey hope this helps and is right

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