Samantha works part time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.

Answer:

The sample mean is of 1970 daily calories.

The margin of error is of 120 daily calories.

The sample standard deviation is of 12.3 daily calories.

Step-by-step explanation:

Mean number of daily calories consumed by participants in a medical study is (1850, 2090).

The sample mean is the mean of the bounds of the confidence interval. So

[tex]M = \frac{1850 + 2090}{2} = 1970[/tex]

The sample mean is of 1970 daily calories.

Margin of error:

The margin of error is the difference between the bounds and the sample mean. So

2090 - 1970 = 1970 - 1850 = 120

The margin of error is of 120 daily calories.

Sample standard deviation:

Now I have to expand a bit into the t-distribution. So

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample.

Since [tex]M = 120, T = 2.08, n = 22[/tex]

[tex]120 = 2.08\frac{s}{\sqrt{22}}[/tex]

[tex]s = \frac{120}{2.08\sqrt{22}} = 12.3[/tex]

The sample standard deviation is of 12.3 calories.

Answer:

I think it's 1,125 and 4485

Step-by-step explanation:

25x13x3

115x13x3

Answer:

Someone gave me da link to dis

Step-by-step explanation:

Answer:

x+3 units and x+6 units

Step-by-step explanation:

Give the total area of a rectangle is represented by (x²+9 x+18) sq units.F

Factorize

x²+9 x+18

- x^2 + 6x + 3x + 18

= x(x+6) + 3(x+6)

= (x+3)(x+6)

Since Area = Length * Width

The dimensions of the rectangle are x+3 and x+6 units

Answer:

true

Step-by-step explanation:

i think

Answer

number

4.D

5.B

6.C

Answer:

2. is b

3.is d

4.is b

5

Step-by-step explanation:

I've done these before

have a good grade

Answer:

Each friend started with $9

Step-by-step explanation:

45 / 5 = 9

Answer:

The shoes belonging to my three uncles are always dirty.

Answer:

50+50

25+25+25+25

20+20+20+20+20.

I'll do problem 3 to get you started.

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

Part 1) Finding the mean:

The mean is found by adding up all the numbers and dividing by n, where n is the number of items in the set.

We sum the numbers to:

5+8+5+9+6+15+9+3+8+7+10+12 = 97

Then we divide over n = 12

mean = sum/n = 97/12 = 8.083333 approximately

This rounds to 8.08

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

Part 2) Finding the standard deviation:

I'm assuming your teacher is talking about the population standard deviation, as opposed to the sample standard deviation.

First subtract each value from the mean. It helps to make a table as shown in the attachment below.

Column A is the original data set. Column B is when we subtract each data item x from the mean M.

Column C is where we square each item in column B.

Adding up everything in column C leads to 118.916666666667 which is approximate. This value is highlighted in the table diagram. Divide this over n = 12 to get 9.90972222222222 which is also approximate

The last step is to apply the square root to that and we get 3.1479711279

This rounds to 3.15

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

Part 3) Finding the min:

From here on out, we have fairly simple calculations and don't need to involve a spreadsheet or any complicated formulas.

The min value is the smallest value of the set. So that would be 3

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

Part 4) Finding the value of Q1, first quartile:

Sort the items in ascending order, ie from smallest to largest.

You should get this set: {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15}

There are n = 12 items here, so the median is between slot 12/2 = 6 and slot 7. The values in slot 6 and 7 are the two copies of '8'. That must mean the median is (8+8)/2 = 8.

Now break up the set into two equal halves

L = {3, 5, 5, 6, 7, 8} = lower half of six items

U = {8, 9, 9, 10, 12, 15} = upper half of six items

The median of set L is exactly the value of Q1, so that would be (5+6)/2 = 11/2 = 5.5; note how this is exactly between the two middle most values of 5 and 6.

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

Part 5) Finding the median:

We found that earlier in part 4. The median is 8.

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

Part 6) Finding the value of Q3, third quartile:

Focus on set U = {8, 9, 9, 10, 12, 15}, which was the upper set of values, ie values larger or equal to the median.

The middle two values here are the '9' and '10'. The median is at the midpoint of these values: (9+10)/2 = 19/2 = 9.5

We have Q3 = 9.5

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

Part 7) Finding the max:

The max is the largest item in the original set

Refer to the sorted set {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15} and we see that 15 is the max.

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

Part 8) Finding the IQR (interquartile range):

Subtract the values of Q3 and Q1 to get the IQR

IQR = Q3 - Q1

IQR = 9.5 - 5.5

IQR = 4

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

Part 9) Finding the range:

The range is a similar idea as the IQR; however, we'll subtract the max and min this time.

Range = max - min = 15 - 3 = 12

The range is 12.

The range, IQR and standard deviation all help us determine the spread of the data. The larger the value gets, the more spread out the data is.

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

Summary:

Side note: The phrase "five number summary" refers to the five values of: min, Q1, median, Q3, max. All of which are needed to form a box-and-whisker plot.

2x(x-1) = 2x - 2

Step-by-step explanation:

a thing my math teacher always taught that sticks is that the equals sign is essentially the words is the same as. Think of it this way the sentaxe would be 2x -2 is the same as 2x minus 2. we get this because initially with the parentheses we have to take the number outside which is 2 and multiply everything inside by it. 2 times x equals 2x and 2 times -1 is negative 2.

Answer:

380-5%

Step-by-step explanation:

Answer:

£399

Step-by-step explanation:

personally its easier to find 1% first then multiply it by how many percent are needed to be found.

380/100=1%

380/100=3.8

3.8x5=5%

3.8x5=19

380+19=usual price

380+19=199

Answer:

there is no question my man

Answer:

With what?

Step-by-step explanation:

Answer:

4 POUNDS OF FLOUR

Step-by-step explanation:

The number of cups of flour he added is 4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Bowl weight = 1(1/2) pounds

Number of cups of flour weight = x pounds

Now,

Total weight = 2(3/4) pounds

1(1/2) + x = 2(3/4)

x = 11/4 - 3/2

x = (11 - 6)/4

x = 5/4

Now,

Weight of each cup of flour = 5/16 pounds

Now,

The number of cups of flour.

= 5/4 ÷ 5/16

= (5 x 16) / (4 x 5)

= 4

Thus,

The number of cups of flour is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

all you have to do is use Desmos graphing calculators and there you go you will thank me later

Answer:

The answer is D

Step-by-step explanation:

Answer:

for 6, you drag 36. for 7, you drag 42.

Step-by-step explanation:

It is using time tables by x6

Answer:

1/15

Step-by-step explanation:

no. of students who participate in all of the three activities is 2.

So, the possibility is 2/15 = 1/15

Ans: 1/15

Answer:

Step-by-step explanation:

sin^-1 (21/67) = 18.27 degrees

√(67)^2 - (21)^2 = 63.62

Answer:

angle7 = 80 (because vertically opposite angles are always equal)

angle7 + angle5 = 180 (because is a straight line)

80 + angle5 = 180

angle5 = 180 - 80

angle5 = 100

Answer: 0.075

Step-by-step explanation: when you are working with percentages to decimals you want to move the decimal two places to the left. If you are working with decimals and you want to make it a percentage you would move the decimal two places to the right.

Answer:

7.5% = 0.075

Step-by-step explanation:

Whenever you're converting a percentage into a decimal, you multiply the percentage by 100, or move the decimal point two points to the left. So, 7.5% as a decimal is 0.075.

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

[tex]a^{2}(24a^{2}+36a+12)[/tex]

Step-by-step explanation:

Area of rectangle= Length*Width

so [tex](6a^{2}+9a+3)*4a^{2}[/tex]   multiply each coefficient of a times 4a^2

[tex]24a^{4}+36a^{3}+12a^{2}[/tex]  then take a^2 common factor so it will be

[tex]a^{2}(24a^{2}+36a+12)[/tex]=area