The data plots represent the hours students study each week in two different classrooms.   The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class.

Answer:

dependent

Step-by-step explanation:

This question assumes that we're working with a standard full deck of cards.  There are 52 unique cards in such a deck.

If David picks a card at random and doesn't put it back, then the number of unique cards left in his deck is 51.

These two events are dependent because the withdrawal of 1 card changes the probability of drawing any other of these 51 cards

Answer:

15%

Step-by-step explanation:

pretty sure thats right

Final answer:

The student's question involves a business math concept of calculating the percent markup from the cost and selling price, resulting in a 50% markup for this example.

Explanation:

The question involves calculating the percent markup based on the cost to store an item and its selling price.

To find the percent of markup, you subtract the cost to store from the selling price and then divide by the cost to store.

Finally, multiply by 100 to get the percentage.

For example, if an item costs $75 to store and sells for $112.50, the markup is ($112.50 - $75) / $75 = 0.50, or 50%.

This is an example of a basic markup calculation commonly covered in business and economics classes in high school.

Final answer:

After 30 years of monthly $250 contributions to a 401(k) with a 2% annual growth rate, the interest earned on the account is approximately $65,961.73.

Explanation:

To calculate the amount of interest earned in the 401(k) after 30 years with a 2% annual growth rate, we first need to figure out the future value of the account. We use the formula for the future value of an annuity, as the investments are made at regular intervals (monthly).

The formula is: FV = P *rac{(1 + r)^n - 1}{r}

Where:

FV is the future value of the annuity.

P is the payment amount per period.

r is the interest rate per period.

n is the total number of payments.

Since contributions are made monthly, the annual interest rate (2% or 0.02) is divided by 12 to get the monthly rate, and the total number of contributions is multiplied by 12 to account for monthly contributions over 30 years.

For an investment of $250 per month at a monthly rate of 0.02/12, over 360 months (30 years), we get:

FV = $250*  rac{(1 + 0.02/12)^{360} - 1}{0.02/12}

Now we calculate the future value:

FV ≈ $250 *  rac{(1 + 0.0016667)^{360} - 1}{0.0016667}

FV ≈ $250 *  rac{(1.0016667)^{360} - 1}{0.0016667}

FV ≈ $250 *  rac{2.0398873 - 1}{0.0016667}

FV ≈ $250 * 623.8469386

FV ≈ $155,961.73

The total amount invested over 30 years is $250 * 12 *30 = $90,000.

The interest earned is therefore:

Interest = FV - Total amount invested

Interest ≈ $155,961.73 - $90,000

Interest ≈ $65,961.73

So the interest earned on the account after 30 years is approximately $65,961.73.

Answer:

96

Step-by-step explanation:

Multiply 8 and 12.

Answer:

1.5 GPH.

Step-by-step explanation:

Hello there!

Since we are given the amount that leaked out in half an hour, we can multiply it by 2 to get the final amount in gallons per hour (GPH).

:)

Answer: [tex]\frac{3}{2}[/tex] gallons of water per hour

Step-by-step explanation:

If [tex]\frac{3}{4}[/tex] of a gallon of water are leaked in half an hour, I conclude that if I multiply that by 2, it will give the result of gallons of water leaking per hour.

[tex]\frac{3}{4}*2=\frac{3}{2}[/tex]

Answer:

2

Step-by-step explanation:

f'(x) is an odd function (symmetrical about the origin), therefore f(x) is an even function (symmetrical about the y-axis).  So f(x) = f(-x).

Since f(-4) = 2, f(4) = 2.

We can also show this using integrals:

f(-4) = ∫₀⁻⁴ f'(x) dx + C

2 = ½ (-4)(-2) + C

2 = 4 + C

C = -2

f(4) = ∫₀⁻⁴ f'(x) dx − 2

f(4) = ½ (4)(2) − 2

f(4) = 4 − 2

f(4) = 2

Answer:

14

Step-by-step explanation:

In mathematics, sum can be defined as the result or answer we get on adding two or more numbers or terms.

(-4)-10=14

Answer:

4

Step-by-step explanation:

6 + 3 + 9 + 2 + 4 + 3 + 1 =

9 + 11 + 7 + 1 =

20 + 8 =

28

28 / 7 =

4

The required mean number is 4 miles that Kiki cycled every day.

Given that,
The number of miles that Kiki cycled in a seven-week period Is shown: 6, 3, 9, 2, 4, 3, 1. What is the mean number of miles Kiki cycled is to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

Mean = total sum of the reading/number of readings
Mean = (6 + 3 + 9 + 2  + 4 + 3 + 1) / 7

Mean = 28 / 7
Mean = 4

Thus, the required mean number is 4 miles that Kiki cycled every day.

Learn more about average here:

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Answer:

False

Step-by-step explanation:

Lemme know if it helped

Perimeter is the sum of the outside dimensions:

4 + 5 + 1 + 5 + 9 = 24 inches.

Answer:

m+5=7

"A number m" will be a unknown nmber known as a variable. So it will be m.

"Increased by 5" is addition. So you are adding 5.

"Is 7" is equal to 7. it will be =7.

So when you put this together it will give you m+5=7

Answer:

3/5

Step-by-step explanation:

Answer:

Each of the pieces will be 0.5 feet long

Step-by-step explanation:

In this question, we are asked to calculate the individual length Anita will cut a ribbon 6 feet long into to ensure that each of the piece has the same length.

To calculate this, since we don not know what length each of the piece would be, we can say let the length of each of the pieces be x feet

Now, we know that there are 12 pieces that are equal in length. The length of all these 12 pieces would be 12 * x = 12x feet

Now what do we know again?

We also know that these 12x feet equals a total of 6 feet

mathematically therefore;

12x = 6

x = 6/12

x = 0.5 feet

Answer: Each piece will be 1/2 feet long.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given.

We simply have to divide the length of the ribbon (6) by the number of pieces that she wants to cut (12).

Mathematically speaking:

6 /12 = 1/2  

In conclusion, each piece will be 1/2 feet long.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

3.08mm

Step-by-step explanation:

use Pythagorean Theorem. 1.3^2 + 2.8^2 = 9.53 sqrt of 9.53 = 3.08

Answer:

3.087

Step-by-step explanation:

[tex] = \sqrt{ {1.3}^{2} + {2.8}^{2} } \\ = \sqrt{1.69 + 7.84} \\ = \sqrt{9.53} \\ = 3.087[/tex]

Answer:

8

Step-by-step explanation:

Ok here's the solution. I'm typing this to get 20+ characters:

2^3 = 2 x 2 x 2

= 8

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

[tex]\mathsf{z = 2^3}[/tex]

[tex]\mathsf{2^3 = z}[/tex]

[tex]\mathsf{2^3}[/tex]

[tex]\mathsf{= 2 \times 2 \times 2}[/tex]

[tex]\mathsf{= 4 \times2}[/tex]

[tex]\mathsf{= \bf 8}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Therefore, your answer is: z = \bf 8 (Option A)}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

Answer:

You forgot to put the answer options.

Step-by-step explanation:

Answer:b. The graph of g(x) is shifted 3 units to the left and 2 units above the graph of f(x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the pedestal on which a statue is raised on is a rectangular concrete solid measuring nine  feet long, nine feet wide, and six inches high, the volume of the rectangular concrete solid will be expressed as shown;

Volume of the rectangular concrete solid = Length * Width * Height

Given Length = 9ft, Width = 9ft and Height = 6inches

Converting all the units to yards

Given 1ft = 0.333yard

Length = 9 * 0.333 = 2.997yards

Width = 9* 0.333 = 2.997yards

Also given 1inch = 0.0278yard

Height = 6 * 0.0278yards = 0.1668yards

Volume of rectangular concrete solid in cubic yards = 2.997*2.997*0.1668

Volume of rectangular concrete solid in cubic yards = 1.4982cubic yards

If concrete costs $70 per cubic yard, the cost of the rectangular concrete solid will be 1.4982 *$70 = $104.87

Answer:

9 /16 cups

Step-by-step explanation:

Take the number of cups and divide by the number of servings

2 1/4 ÷ 4

Change to an improper fraction

9/4 ÷4

Copy dot flip

9/4 * 1/4

9 /16

Answer: 9/16

Step-by-step explanation: First, take the number of cups and divide by the number of servings. So we have 2 and 1/4 ÷ 4.

Now, rewrite 2 and 1/4 as the improper fraction 9/4 an 4 as 4/1.

So we have 9/4 ÷ 4/1.

Now, dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction. So 9/4 ÷ 4/1 can be rewritten as 9/4 × 1/4.

Now, multiply across the numerators and denominators to get 9/16.

So there are 9/16 cup of raisins in each serving.

Answer:

30% off

Step-by-step explanation:

63 is 70% of 90 which means that 30 percent of the price is off.

Please mark me brainliest. I need it. Hope this helps

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

97=29+17x

subtract 29 from both sides

68=17x

divide both sides by 17

4=x

Answer:

1.00 and 0.65

Step-by-step explanation:

:D

To find two decimals with a difference of 0.35, you can start with any decimal and add or subtract 0.35 from it.

To find two decimals with a difference of 0.35, we can start with any decimal and add or subtract 0.35 from it. Here are two examples:

These decimals have a difference of 0.35 between them.

Answer: 288

Parallelogram Area Using Sides

Suppose a and b are the set of parallel sides of a parallelogram and h is the height, then based on the length of sides and height of it, the formula for its area is given by: Area = Base × Height. A = b × h [sq.unit]

Answer:

288 ft

Step-by-step explanation:

The height is 16 and the base is 18.

base times height equals area in a parallelogram.

16x18=288

Answer:

  2

Step-by-step explanation:

For a linear function, the rate of change is the same everywhere. It is the same between points C and D as it is between points A and B: 2.

The rate of change between points C and D is 2.

Answer:

D

Step-by-step explanation:

It should look like the photo I've attached.

The points that represent the data are of the form (age, height), and the graph can be seen below.

Here we have the table:

Age (years) Height (cm)

11                   140

12                  145

12                   151

13                   160

14                   155

14                    161

15                    170

15                    179

16                    175

16                    179

Then the points that represent the data are of the form (age, height).

So we have 10 points:

(11, 140), (12, 145), (12, 151), (13, 160), (14, 155), (14, 161), (15, 170), (15, 179), (16, 175), (16, 179).

The graph of these 10 points can be seen below:

If you want to learn more about graphing:

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The solution to the system of equations is (x, y) = (0, 2).

To solve the system of equations using the elimination method, we'll eliminate one of the variables by adding or subtracting the equations. Let's proceed:

Given the system of equations:

3x - y = -2

-2x + y = 2

We'll add the two equations together to eliminate the variable y:

(3x - y) + (-2x + y) = (-2) + 2

This simplifies to:

3x - y - 2x + y = 0

x = 0

Now, substitute x = 0 into one of the original equations to solve for y. Let's use the first equation:

3(0) - y = -2

-y = -2

y = 2

So, the solution to the system of equations is (x, y) = (0, 2).

Answer:

its B

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

i took the test

Answer:

9.19

Step-by-step explanation: please give brainliest

Answer:

Step-by-step explanation:

What's x

Answer:

Yes.

Step-by-step explanation:

The number 3 is a natural number, and all of these types of numbers are rational.

Another way to look at it is if a number can be written as a fraction, the number is rational.

Answer:

in fact yes

Step-by-step explanation:

it is since it's actually a normal number

To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.

188869/98 = 1927.2

The new diameter is approximately 1927 times longer.

To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.

Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.

1.927 x 10^3 times is the answer in scientific notation.

Answer:

2*10^3

Step-by-step explanation: