The mean output of a certain type of amplifier is 466 watts with a standard deviation of 10 watts. If 32 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 1.6 watts? Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.8186

Step-by-step explanation:

The formula to use to solve this question is given as:

z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

P(z < (x-μ)/σ/√n)

(x-μ) = 1.6 watts

σ = 10 watts

n = 32 amplifiers

Hence,

P(z < 1.6/10/√32)

P(z < 1.6/1.767766953)

P(z < 0.9050966799)

Approximately to 2 decimal places)

P(z < 0.91)

= 0.81859

Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.


Related Questions

What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?

4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6

Answers

Answer:

the answer is 1/6

i got it right edg 2020

Step-by-step explanation:

dont come at me because we had the same answer

Answer: 1/6

Step-by-step explanation:

A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there

Answers

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

Can you simplify -6/0 ?

Answers

Answer:

It can also be termed as "undefined".

Step-by-step explanation:

Hope that this post has helped you out in some way! :)

Write thirty divided by five 3 ways

Answers

Answer:

30 divided by 5

[tex]\frac{30}{5}[/tex]

5⟌30

Hope this helps!

this is an assignment for my son who is having trouble doing the steps to solve these math problems.

Answers

Answer:

B, C, B, A, B

Step-by-step explanation:

Recall soh cah toa

sin - > soh     sin(ANGLE) = opposite/hypotenuse

cos -> cah     cos(ANGLE) = adjacent/hypotenuse

tan -> toa      tan(ANGLE) = opposite/adjacent  

(letters correspond)

7) They ask for sinX, meaning we need to apply soh

sinX = opposite/hypotenuse

sinX = 30/34 = 15/17

B

8)

tan(ANGLE) = opposite/adjacent  

tanZ = 12/35

C

9)

cos(ANGLE) = adjacent/hypotenuse

cosZ = 36/45 = 4/5

B

10 + 11 are attached. Hopefully, you understand. Have a nice day :)

aaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

A. 7^4

Step-by-step explanation:

When dividing exponents or monomial, you just basically subtract the exponents to get your answer.

Answer:

i think the  answer is B, [tex]7^{12}[/tex]

Step-by-step explanation:

sorry if wrong, Hope it helps!

3g+5
(g-1)(g+6) for g = 3
answer as reduced fraction

please help omg im dying

Answers

Answer:

[tex] \frac{7}{9} [/tex]

Step-by-step explanation:

it seems like you're asking what the solution of each equation is put into a fraction

so, putting in 3 for g gives you

[tex]3(3) + 5 = 14[/tex]

which then goes over

[tex]((3) - 1 = 2)((3) + 6 = 9) = 18[/tex]

which gives

[tex] \frac{14}{18} [/tex]

however, this can be reduced to

[tex] \frac{7}{9} [/tex]

because both 14 and 18 can be divided by 2.

Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}

Answers

Answer:

The answer is D

Step-by-step explanation:

A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.

Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?

Answers

Answer:

NO.

Step-by-step explanation:

The Professor's hypothesis:

An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).

25 students are used as the experimental group while the rest of the class are the control group.

The mean GPA in a sample size (SS) of 6 is = 2.58

The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.

This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.

Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:

[2.58 - 0.6] to [2.58 + 0.6]

= 1.98 to 3.18

The rest of the graduating class (the control group) had a mean GPA of 2.33

Can the professor conclude that the GPA for the sample is significantly different from that of the control group?

The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!

You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

All of the digits in the given number are significant. There are 7 significant digits.

__

Comment on other cases

When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.

When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.

In a number with no decimal point, the leading and trailing zeros are not significant.

If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)

Note that common skills are listed toward the top, and less common skills are listed toward the bottom. According to O*NET, what are common skills needed by Nursery and Greenhouse Managers? Check all that apply. programming management of personnel resources repairing speaking coordination technology design monitoring installation

Answers

Answer:

management of personnel resources, speaking, coordination, and monitoring

Step-by-step explanation:

:)

Answer:

1 4 6

Step-by-step explanation:

Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!

Answers

Answer:   y = (-3/2)x+3

In decimal form, this is y = -1.5x+3

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

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

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

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

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

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

Answer:

[tex]y=-\frac{3}{2} x+3[/tex]

Step-by-step explanation:

I don't really know how to explain this, but I hope the graph helps some.

I hope this helps you! (✿◕‿◕✿)

Eric picks 58 basket of strawberries. Kiki picks 15 basket of strawberries.

Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?



A 0 baskets

B 12 basket

C 34 basket​

D 1 basket

Answers

Answer:

C- 34 baskets.

Step-by-step explanation:

Since the answer to the actual problem is 43, it would make sense to pick the number closest to that, which is 34. hope this helps <3

-brooke :)

Answer:

1/2 basket

Step-by-step explanation:

confirmed!

pls tell meeeeeeeeeeeeee

Answers

Girl you just have to divide 128 and 8

ASAP!!! PLEASE HELP
10 points

Answers

This is the answer hope you get it :)

There are 84 colored chips
in a bag, ether red, white,
or blue. The theoretical
probability of picking a blye
chip is 25%, How many
Blue chips are in the bag

Answers

Answer:

3.36

Step-by-step explanation:

A ballon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?

Answers

the more time elapsed the higher the balloon gets.

Complete the ordered pair for both equation. Will give brainiest

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...

[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]

So the order pair is (12, 13).

Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...

[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]

So the order pair is (-3, -2).

Pls Help :( 15 points

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation please.

Answers

Answer:

(108-27)/3 =27

Each bus has 27 students, because 108-27=81, 81/3=27

Step-by-step explanation:

Hope this helps! <3

A snail travels 10 cm and 4 minutes at this rate how long will it take for the snail to travel 24 cm?

Answers

Answer:

It will take 9.6 minutes to travel 24 cm.

Step-by-step explanation:

(;;;

Answer:

9.6 minutes.

Step-by-step explanation:

First we need to find how many minutes it takes the snail to travel 1 cm.

to do this we need to divide the time it takes by the distance traveled.

4 ÷ 10 = 0.4. So, the snail takes 0.4 minutes to travel 1 cm.

Next we need to find how long it takes to travel 24 cm.

to do do that we need to multiply how long it takes the snail to travel 1 cm by the number of cm it needs to travel.

0.4 x 24 = 9.6. So, it takes the snail 9.6 minutes to travel 24 cm.

Please help ASAP 50 pts

Answers

Answer:

Answer is C

Step-by-step explanation:

I learned this in algebra

Answer:

c. If two distinct planes

48minutes to 1hour
This is a ratio plz simplify it

Answers

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%

Answers

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

PLEASE SOLVE! WILL GIVE BRAINLIEST FOR FIRST RIGHT ANSWER (WITH EXPLANATION, NOT WITHOUT). *Explanation doesn't need to be big.

In the figure it is impossible to measure segment AB. So point C is drawn, forming ∆ABC, where sides AC and BC can be measured. Segments AC and BC are extended, resulting in segments AD and BE, where C is the midpoint of both. Prove ED is congruent to AB.

△ABC≅△___ by reason _____ (AAA, ASA/SAA, Cannot Be Determined, SAS, SSS)

Answers

Answer:

Step-by-step explanation:

From the given picture,

AD and BE are the lines intersecting at a point C.

Point C is the midpoint of these lines.

From ΔABC and ΔDEC,

AC ≅ CD

CE ≅ CB

And ∠ABC ≅ ∠DEC [Vertical angles]

Therefore, ΔABC ≅ ΔDEC [By SAS property of congruence]

And AB ≅ ED [Since, ΔABC ≅ ΔDEC]

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the

same section of the trip is displayed below.

Who had a head start, and how many miles was the head start?

Rita's Drive

y

(4, 288)

280-

Roger's Drive

240

Time (hr)

Distance (mi)

(3,223)

200-

1

65

160-

• (2, 158)

2

130

Distance (mi)

120-

3

195

(1,93)

80-

4.

260

40-

0

0

Time (hr)

Who Had the head start?

Answers

Answer:

hello your question is poorly written and the required options to the question is missing

options :  

Rita had a 28-mile head start.

Roger had a 26-mile head start.

Roger had a 25-mile head start.

Rita had a 22-mile head start.

Answer : Rita had a 28-mile head start

Step-by-step explanation:

From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles

Answer:

a

Step-by-step explanation:

edge 2021

832 divided by 12
i also have to show my work in 2 different ways

Answers

Answer: 69

Step-by-step explanation:

duhhhhhhhhhhhh

A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.

Answers

9514 1404 393

Answer:

70 ft long61 ft wide

Step-by-step explanation:

Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...

  P = 2(L+W)

Filling in the known information, we have ...

  262 = 2((w+9) +w)

  131 = 2w +9 . . . . . . . divide by 2

  122 = 2w . . . . . . . . . subtract 9

  61 = w . . . . . . . . . . . divide by 2 (width)

  w+9 = 70 . . . . . . . . length

The length of the garden is 70 feet; the width is 61 feet.

Vladimir buys 1.20 pounds of Skittles, 3 1/2 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and the pretzels cost $1.10 a pound, how much did Vladimir spend?

Answers

Answer: 12.2408

Step-by-step explanation:     This is what I got I hope I got it right:)

How many proportional relationships are shown in the coordinate plane below? Please answer quick i will give 35 points

Answers

Answer:

its not zero i check and got in incorrect the correct answer is 1

Step-by-step explanation:

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

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

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

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