Maria had lunch at a restaurant. If the bill was $12.25 and Maria wants to leave a 20% tip, what is a reasonable estimate for the amount she should leave for tip?

Please explain how you got the answer

Answers

Answer 1

Answer: $2.45

Step-by-step explanation:

An easy way to find the correct tip is to learn what 20% of 12.25 is

Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2

.2 X 12.25 = 2.45

2.45 is 20% of 12.25


Related Questions

why is 15.6 divided by 13.12 the same as 1560 divided by 312

Answers

Answer:

Step-by-step explanation:

It's like this

4 / 2 is the same as 8 / 4. It's equivalent to each other.

Answer:

because they were both multiplied by ten, so they stay proportanally the same

Step-by-step explanation:

any time you multiply to numbers, if you multiply them both by the same number, the proportion of the numbers will be the same

3x -y=-2y solve for y pls help me

Answers

Answer:

-x

Step-by-step explanation:

3x - y = -2y

add y to both sides

3x = -3y

divide both sides by -3

-x = y

What is the reference angle for -252?​

Answers

Answer:

Hi there, the reference angle for -252 is 72°

When it comes to reference angle it has to be less than 90° on either quadrants.

Hope this helped :)

Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56
plz helpp​

Answers

Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

56

You had the right idea! :)


As a birthday gift, Zoey gave her niece an electronic piggy bank
that displays the total amount of money in the bank as well as the
total number of coins.
After depositing some number of pennies and dimes only, the
display read:
Money: $2.12
Number of coins: 41
Create a system of equations that represents this situation. Then
solve it using the substitution method to find out how many
pennies and dimes Zoey put in the bank.

Answers

45 plus 67 gives you a number

In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year. The equation P = 144(0.86)x will give the value of the stock after any number of years. What is the current share price for GM stock?

Answers

Answer:  $5.22  (in the year 2021)

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

Explanation:

The year 2021 is 22 years after 1999 since

2021 - 1999 = 22

That means we'll plug x = 22 into the equation given to us

P = 144*(0.86)^x

P = 144*(0.86)^22

P = 5.21588994768589 which is approximate

P = 5.22 rounding to the nearest cent

The share price is about $5.22 in the year 2021.

This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.

which fraction equals - 9/16? mark all that apply.

Answers

A,E,B,F should be the answer

Need help ASAP I will give branliest NO BOTS OR LINKS!!!!

Answers

$94 would be the correct answer. Hope this helps.

Solve the following problems, please

1) G+7 = 4
2) -5a = 10
3) S-9=10
4) F+15=3
5) -8d = -64
6) A/7 = -4 (divided = /)
7)W-5 =7

Answers

Answer:

1. g=-3

2. a=-2

3. s=19

4. f=-12

5.d=8

6.a=-28

7.w=12

Step-by-step explanation:

1)  take 4-7 to get -3

2)  take 10 divided by -5 to get -2

3) take 10+9 to get 19

4) take 3-15 to get -12

5) take -64 divided by -8 to get 8

6) take -4 times 7 to get -28

7)take 7 plus 5 to get 12

Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. How far is the second from Ubi's home​

Answers

Answer: [tex]2061.55\ m[/tex]

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

[tex]\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km[/tex]

multiply ( y + 10) ( y - 10)

Answers

Answer:

y² - 100

Step-by-step explanation:

(y + 10)(y - 10)

Each term in the second factor is multiplied by each term in the first factor, that is

y(y - 10) + 10(y - 10) ← distribute parenthesis

= y² - 10y + 10y - 100 ← collect like terms

= y² - 100

In binomial distribution, the probability is .2, P(x is greater than or equal to 1)>.75, find the least possible value of n

Answers

The approximate shape of the sampling distribution of the sample will be normal.

Option E is correct.

Sampling distribution:

It is a statistic that determines the probability of an event based on data from a small group within a large population.

Given that,  is greater than or equal to 15 and  is greater than or equal to 15.

      and

So that the new mean and standard deviation will be,

         

Thus, the approximate shape of the sampling distribution of the sample will be normal.

Learn more about the sampling distribution here:

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The answer here is option E

How do you write 6.83 in words?

Answers

Answer:

six point eighty three

Step-by-step explanation:

A gallon of gas cost $3.50 at the beginning of the month. At the e of the month it cost $3.75. What was the percent change in the price of a gallon of gas?
‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎ ‎‎‎ ‎‎ ‎‎
ty:-;​

Answers

Answer:

7.14%

Step-by-step explanation:

Any comparison with the increase or decrease in price has to be compared to the ORIGINAL price. (at the beginning of the month.)

The price increased from $3.50 to $3.75, an increase of $0.25

To find what percent it is use:[tex]\frac{change}{original}[/tex]×100%

[tex]\frac{0.25}{3.50}[/tex]×100%

Answer:

7.1428571% increase

7  1/7 % increase

Step-by-step explanation:

To find the percent increase ( we know this is an increase since the amount went up), take the new amount and subtract the original amount

3.75 - 3.50 = .25

Divide by the original amount

.25 / 3.50

.071428571

Multiply by 100 %

7.1428571%

7 1/7 %

Find the measure of x

Answers

tbh im not sure but someone will help

In the model, a hundreds grid represents 1 whole. Which decimal is represented by the shaded portion of the model?

Answers

The decimal that is represented by the shaded portion of the model is 0.45

How can we express numbers belonging to decimal numeral system?

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

We are given In the model, a hundreds grid represents 1 whole.

Since 45 out of the 100 squares are shaded,

This means the fraction would be 45/100

45/100 = 0.45.

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What is 84/6..............................

Answers

Answer:

14

Step-by-step explanation:

Determine whether each pair of actions results in independent or dependent events.
Pick one marble out of a bag. Then, without replacing the marble, pick another marble.

a. Dependent; the first marble selection will affect the second marble selection.
b. Independent; the first marble selection will not affect the second marble selection.
c. Dependent; the first marble selection will not affect the second marble selection.
d. Independent; the first marble selection will affect the second marble selection.

Answers

Answer h:

Step-by-step explanation:

Answer:

b. Independent; the first marble selection will not affect the second marble selection.

Step-by-step explanation:

We have both independent and dependent occurrences when calculating the probability of events in mathematics.

Independent events occur when the results of the first event's selection have no bearing on the results or outcomes of the second event.

The opposite of independent occurrences are dependent events. They are occurrences in which the results or outcomes of the second events are influenced by the results or outcomes of the first events' selection.

The first incident, according to the question, was when she chose one marble from the bag. The second occurrence is that she replaced the pebble before selecting another. By doing so, the total number of alternative outcomes for both occurrences' probability remains the same.

To know more about the independent and dependent events

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can someone PLEASE help?? i would really really appreciate it!!!!

Answers

Answer:

j = 8.6 or 8.7

Step-by-step explanation:

tan (60) = j/5

*cross multiply*

j = 5 (tan(60))

j = 8.66

j = 8.7

y^-7/y^-13 Please explain for brainly =DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Answers

The answer is y^6 iugfhiiiyffcvjjkufdfvjkkuu

man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip

Answers

Answer:1881 6040mph 18x

179÷[618- (241-)]÷12 =
I don't know what I'm doing pls help this urgent

Answers

Answer: 215

Step-by-step explanation:

hii! please help i’ll give brainliest

Answers

Answer: Shanghai

Step-by-step explanation:

i hope this helps!

Increase 30g by 80%

Answers

Answer: 54

Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54

Answer:

30 × 80 % = 24

30 + 24

= 54

........

How do you use log and e?

Answers

The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.

Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.

The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.

An exponential function is a function in which a number or data is raised to the power of another number or a variable.

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PLEASE! I need the prime-power factorization for these!!!

Answers

Answer:

26 is 2×13

27 is 3³

18 is 2×3²

hope it helps :)

Answer:

25= 5 × 5 or 5

30= 2 x 3 x 5

26= 1, 2, 13 and 26.

27= 3×3×3 or 3(3)

18= 2 × 3 × 3

Step-by-step explanation:

A spinner is divided into 6 equal regions, numbered 10 through 15. An arrow is spun and lands on one of the numbers. What are the odds of the arow landing on a number that is greater than 10?

A.
0.1667

B.
0.333

C.
0.667

D.
0.833

Answers

Answer: Option D (0.833)

Step-by-step explanation:

There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).

Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833

What does he need to get on test number 4 to do that?

Answers

Answer:

86%

Step-by-step explanation:

well we know that his average score is 78 percent. so we need to use 78 with all the tests he took. so 78+78+78 is equal to 234. i tested each number. 234+86 is equal to 320. 320/4 (4 for the number of tests he took) is 80. so he needs a test score of at least 86 percent to raise his average score to 80% he could get a higher score but remember, he is trying to reach 80%

Please hurry its timed and i really need help!

Answers

Hello!:

Let's take this problem in steps:

   [tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]

Now we need to find the value of sin(x) and cos(x) where the value becomes zero:

  --> and it so happens to be:

        [tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]

Thus:

 [tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]

Answer: (B)

at a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P\left(\overline{x}>22\right)\approx0.05P(x>22)≈0.05?

Answers

The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.

What is Normal probability distribution?

The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.

Central limit theorem

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation , the z-score of a measure X is given by:

Z = x-μ/σ

Given ,

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

The number of standard deviations is measured by the Z-score. The average is used as the measure.

We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.

1 is subtracted from the p value.

We calculate the likelihood that the measure exceeds X.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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Find the approximate value of each trigonometric function.31Given that tano 3.454 where How does graph y=-3(x+1)2 -1 transforms from the parent function y=x^2? Gettysburg Address lincoln gave this address to honor soldiers who died in battle that showed how bitterly divided the nation was in 1863. how does lincoln's speech emphasize national unity? What are 3 examples of common mutations? Ritu had 6 time a number of tamp and Raj took twice the number from Ritu o that he ha a total of 24. Write the algebraic equation and find the root of the equation I need help solving this how can you tell when a quadratic equation has one rational solution? Which poems uses a series of allusions to make its argument? A.)"Sideman"B.).)"Poetry Slalom"C.)"If We Must Die"D.)"The Brain Is Wider than the Sky" question below, thanks Find the value of x.2x-86 Can I ask why my rental application was denied? Conditioning occurs when two events that usually go together become associated with each other.Please select the best answer from the choices providedTF Directions: Solve these equations by using addition. You will need to use your fraction and decimal skills to solve these equations.A number increased by 1 2/3 is equal to 8 What is a conclusion based on evidence in the text? Why were children working in factories?O a. Parents did not want to leave them at home.Ob. The government forced children to work instead of being a burden to the state.O c. They were small enough to do the job and were cheap labor. 5. Describe the metabolic pathways in the monarch butterfly that take advantage of milkweed nectar to convert it into an energy currency. A) Include details about the three phases of cellular respiration as they relate to sugar metabolism. B) Where (or how) would sucrose enter the pathways? What do you call the angle measures 90 180 and 270? The reading passage claimed, trees are essential for all life in the stream. Choose all the benefits that trees provide to streams. 1. Trees provide essential nutrients from dead leaves 2. Trees cause sediment to erode from the land and wash into streams 3. Trees provide shade to help keep cool water temperatures in the stream. 4. Trees decrease dissolved oxygen levels in the water5. Trees filter stormwater run off which helps keep harmful pollutants out of the stream. 6. Trees provide habitat to wildlife. What organization formed at the end of world war ii to promote international peace and security? What two coins add up to 30 cents but one isn't a nickel?