Winston has just gone grocery shopping. The mean cost for each item in his bag was $3.24. He bought a total of 5 items, and the prices of 4 of those items are listed below:

$4.55,$2.53,$2.82,$4.66
Determine the price of the 5th item in his bag.

Answers

Answer 1

Answer:

$1.26

Step-by-step explanation:

total: 16.2 (3.24 * 5)

4.55 + 2.53 + 2.82 + 4.66 = 14.56

16.2 - 14.56 = 1.26

Answer 2

The price of the fifth item in W's bag is $1.55 if the mean price of all five items is $3.24.

A mean is one of the measures of central tendencies and is the average value of a group of observations. It is the ratio of the sum of all observations to the total number of observations.

The prices of the 4 items out of the 5 items W has bought are given as follows:

$4.55, $2.53, $2.82, $4.66

It is also given that the mean cost for each item is $3.24.

Let the price of the fifth item be x, then according to the question;

[tex]\dfrac{ 4.55+ 2.53+2.82+4.66+x}{5} = 3.24\\14.65 + x = 3.24 \times 5\\14.65 + x = 16.2\\x = 1.55[/tex]

Therefore, the price of the fifth item in the bag is $1.55.

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Related Questions

What is the mode for this set of data? 34, 36, 56, 58, 58, 58, 61, 62, 62

Answers

Answer:

52

Step-by-step explanation:

Mode is the number that appears the most in the set of data, so we would need to find the number that occurs the most. In this case, it's 52.  

Answer:

Your answer whould be 58

Step-by-step explanation:

exmple 67,67,78,78,67,43,34,12, the mobe is 67

2.8x = -9.24

A. 12.04
B. -0.3030
C. -3.3
D. 12.04

Please helppp​

Answers

the answer of this problem is the letter C. -3.3

Answer:

Choice c, 3.3

Step-by-step explanation:

To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.

Question 1 of 15
Ahana swims laps on Tuesday and Thursday mornings. On
Thursday she swims 1 more than twice the number of laps
she swam on Tuesday.
If x represents the number of laps that Ahana swam on Tuesday, select the
expression that represents the total number of laps she swam on Tuesday
and Thursday
O A. 2x + 1
B. 3x + 1
O C. 2x + 2
O D. 3x - 1

Answers

Answer:

3x + 1

Step-by-step explanation:

what lines represent parallel to y=6x+2

Answers

Answer:

g

Step-by-step explanation:

Which equation calculates the number of 1/8-foot pieces you can cut from 5 feet of ribbon?

Answers

40 because if 8 pieces being cut makes 1 foot then what’s 8 times 5. 40
Answer is below ↓↓↓↓↓↓

(6x-1) = (5x+28)
X=?

Answers

(6x-1) = (5x+28)


x = 29

Answer:

x = 29

Step-by-step explanation:

(6x-1) = (5x+28)

or, 6x-1 = 5x+28

or, 6x-5x = 28+1

or, x = 29

Find the area of the parallelogram ABCD
А
B
12 cm
-10 cm-
C
D
-30 cm

Answers

Answer:

I think it is 3600

Step-by-step explanation:

Which of the following correctly simplifies the expression (2².60) ? ² t 79 32 343 0() 이 - 야 (4) 2².0 2²1 77 64 343 2.0 = 0 78​

Answers

Answer:

hello

[( 2 ² * 6 ⁰ ) / 7 ] ³

=  ( 2 ⁶ * 1 ³) / 7 ³

= ( 64 *1 ) / 343

=   64/343

Step-by-step explanation:

If we consider the simple random sampling process as an experiment, the sample mean is a. a random variable. b. always zero. c. exactly equal to the population mean. d. always smaller than the population mean.

Answers

The sample mean is an estimate of the population mean.

The sample mean is exactly equal to the population mean

How to determine the true statement

When the population mean is known; the value of the population mean can be used as the sample mean.

This is so because:

The sample mean is an estimate of the population mean.

And it is represented as:

[tex]\bar x = \mu[/tex]

Hence, the true statement is that the sample mean is exactly equal to the population mean

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What is 3/5×6/5. Move the numbers to the boxes to show answer. If there is no whole number ,put a 0 in the box

Answers

Answer:

72/100

Step-by-step explanation:

hope this helps!

Answer:

18/25

Step-by-step explanation:

How many 1/4 cup servings are in 3 cups of chololate?

Answers

Answer:

The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.

Step-by-step explanation:

each 1 cup had four  1/4 cup in them. So 4 times 3 cups is 12.

There are 12 servings of 1/4 cup in 3 cups of chocolate.

The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.

To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.

1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).

2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.

3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups

Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.

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these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers what is the answer​

Answers

Answer:

6-13=7 , 7-13=6

6+1=7,7-1=6,

Step-by-step explanation:

Rassan invests a sum of money in a savings account, with an interest rate of 4%. After 3 years, the balance reaches $1799.78. What is the amount of the initial investment? Round to the nearest whole dollar.

Answers

Answer:

I believe it is $1,607 hope it helps

which statement best describes the set 14 16 18 20 22​

Answers

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]

From the above set of numbers, we have the following observations

All numbers are evenThe difference between consecutive numbers is 2

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

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Pls help there will be pic if u click

Answers

Answer:

$6.30

Step-by-step explanation:

A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30

Each sharpener costs $0.90. You are buying 3 sharpeners. $0.90 x 3= $2.70.
You are paying with $10.
$10-$2.70=$7.30.
You are getting $7.30 for change.

What is the total area, in square meters, of the shaded sections of the trapezoid below?

Answers

Answer:

56.16 sqm

Step-by-step explanation:

Area of triangle = 0.5 * base * height

= (0.5 * 7 * 7.2) + (0.5 * 8.6 * 7.2)

= (25.2) + (30.96)

= 56.16

The table shows several points for function h(x). A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 3, 6, 9, 12, 15. Column 2 is labeled h (X) with entries 1, 6, 12, 2, 8, 9. Which point is on the graph of the inverse function h–1(x)? (0, 1) (6, 3) (9, –15) (12, –8)

Answers

Answer:

B

Step-by-step explanation:

Ed2021

Simplify to create an equivalent expression.
8-4(-x+5)
Thank you!

Answers

If it was simplified it would be 4x - 12

Hi please help no links and no fake answers please!

Answers

answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an​ endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments​ (in millions of​ dollars): 60.2,​ 47.0, 235.1,​ 490.0, 122.6,​ 177.5, 95.4, and 220.0. Summary statistics yield 180.975 and s143.042. Calculate a​ 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments. Round to three decimal places.

Answers

Answer:

The 95% confidence interval   [tex] 81.852  <  \mu <  280.098 [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample mean is  [tex]\= x  =  180.975[/tex]

   The standard deviation is  [tex]\sigma  =  143.042[/tex]

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    [tex]\alpha =( 100- 95) \%[/tex]

=>  [tex]\alpha =0.05[/tex]    

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }[/tex]

=>  [tex]E = 99.123 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]180.975 -99.123 <  p <  180.975 +99.123[/tex]

=>    [tex] 81.852  <  \mu <  280.098 [/tex]

   

Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

The information given is:

Sample mean of [tex]\overline{x} = 180.975[/tex].Sample standard deviation of [tex]s = 143.042[/tex]Sample size of [tex]n = 8[/tex].

We have the standard deviation for the sample, hence, the t-distribution is used.

The interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]

The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).

To learn more about the t-distribution, you can take a look at https://brainly.com/question/25077184

-3 1/2 - [-12 1/4]...............................................

Answers

Answer:

8.75

Step-by-step explanation:

Answer:

8 3/4

Step-by-step explanation:

Rosters Chicken advertises​ "lite" chicken with​ 30% fewer calories than standard chicken. When the process for​ "lite" chicken breast production is in​ control, the average chicken breast contains ​calories, and the standard deviation in caloric content of the chicken breast population is calories. Rosters wants to design an ​-chart to monitor the caloric content of chicken​ breasts, where chicken breasts would be chosen at random to form each sample. ​a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the​ target? Upper Control Limit ​(​) nothing calories ​(enter your response as an​ integer).

Answers

Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

Find the value of xx, yy, and zz in the parallelogram below.

Answers

Answer:

Step-by-step explanation:

Sam gets paid a set rate in his allowance for making his bed every morning. His rate is $0.50 earned for every morning that he makes his bed.

Let n represent the number of days Sam makes his bed.
Let t represent the total amount earned, in dollars.
Which graph shows the amount of money that Sam earned when he made his bed over the course of 8 days?

Answers

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

can you help me solve for x​

Answers

Answer:

x = √80

Step-by-step explanation:

Let's find the hypotenuse of the top side triangle.

Using the Pyth. Theorem:

Let y be the hypotenuse of the top side triangle:

2^2 + 4^2 = y^2

y = √20

Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .

Using the Pyth.Theorem again, we can find x:

x^2 + (√20)^2 = 10^2

x = √80 .

Find the solution set to the following equation. Answer only in numbers.
x^2+ 8x = 0

Answers

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

[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]

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

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

If three angles of a triangle are "(3x - 2) degrees, (8x - 5) degrees, and (7x+7) degrees", then what does "x" equal?

Answers

Answer:

10

Step-by-step explanation:

The sum of the measures of the angles of a triangle.is 180 degrees, so:

3x-2+8x-5+7x+7=180

18x=180

x=10

The student body of 24 students
wants to elect a president, minister
of Arts, minister of PE department,
and minister of Science. How many
different arrangements are there?

Answers

There are 10,626 ways of arranging the required offices from a body of 24 students.

What is combination?

Combination deals with the way in which a arrangement can be made from a particular lot. In  this case, we want to select  a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.

Hence;

24C4 = 24!/4! (24 - 4)! = 24!/4!20!

So;

24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1

= 24 * 23 * 22 * 21 / 4 * 3 * 2*1

= 10,626 ways

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Help math math ASAP ASAP

Answers

Answer:

[tex]\displaystyle y + 2 = 4(x + 1)[/tex]

Step-by-step explanation:

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 4 remains as is as you proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [-1, -2] \\ \\ \boxed{y + 2 = 4(x + 1)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

19.) Vernon has a bank account balance of $24.70, and then deposits $30 into his account. What is
his new balance after the deposit?

Answers

-24.7+30=5.3

his new balance is 5.3

Answer:

$54.70

Step-by-step explanation:

take $24.70 and add $30 to it and $24.70+$30=$54.70

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