At the local college, a study found that students had an average of 0.7 roommates per semester. A sample of 133 students was taken. What is the best point estimate for the average number of roommates per semester for all students at the local college?

Answer:

1 ) 1/2

2) 1/4

3)10, 15 , 20, 25 , 30 ,35 ......

4) 16,24,32,...

5)40

6) 42

7)17/24

8)11/16

9) 3/8

10) 1/20

It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.

For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80

For Stretch Land after 10 classes.  You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.

Each yoga studio will have gathered $80 after 10 classes.

Hope this helps <3 & don't forget to drink water!!

Answer: Dog=$40 per a dog and $20 per a cat

Step-by-step explanation:

Let the dog be x and cat be y

x=2y

10x=20y

20y+16y=32y

720/32=20

2x20=40

x=40

y=20

Step-by-step explanation:

V=d/t

=> t = d/V

________

How does cellular respiration help maintain homeostasis in animals?

Answer: Cellular respiration helps animals maintain homeostasis by breaking down glucose to produce ATP, which is the energy currency of the cell. ATP is necessary for many cellular processes that help maintain homeostasis such as active transport and protein synthesis.

Explain why cells separate and expel waste.

Answer: Cells separate and expel waste to prevent the accumulation of toxic substances that can disrupt cellular function and lead to disease. The waste products are transported out of the cell and into the bloodstream where they are filtered and excreted by organs such as the kidneys.

Why do cells in organisms such as animals reproduce?

Answer: Cells in organisms such as animals reproduce to replace damaged or dying cells, and to enable growth and development. Reproduction ensures that the organism maintains the proper balance of cells and that there is enough tissue to perform necessary functions.

Explain how plant cells use photosynthesis to maintain homeostasis?

Answer: Plant cells use photosynthesis to maintain homeostasis by converting light energy into chemical energy in the form of glucose. This glucose is then used to produce ATP, which is necessary for cellular processes such as active transport and protein synthesis. Additionally, plants use photosynthesis to produce oxygen, which is necessary for respiration.

I hope this helps :)

Answer:

Step-by-step explanation:

x-12

x3

-4

x=34

Answer:

Identify the sequence, hten use the formula to find the first term a1=2

Identify the sequence, then use if the formula to find the second term a3=-6

Step-by-step explanation:

The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that the expression is;

- 4n + 6

Now the expression as

A. (-6n) + (6 + 2n)

After adding, we have;

(-6n) + (6 + 2n) = -6n + 6 + 2n

= - 4n + 6

B. (- 10n + 2) + (6n + 4)

After adding we have;

(- 10n + 2) + (6n + 4) = - 10n + 2 + 6n + 4

= - 4n + 6

Hence, The two expressions that add to get a sum of - n + 6 are A. (-6n) + (6 + 2n) and B. (- 10n + 2) + (6n + 4)

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Take intercepts from the graph:

Calculate the intercepts

Points are: (3, 0) and (0, - 9)

Ordered pairs given:

Take intercepts from the graph:

Calculate the intercepts:

Points are: (- 2, 0) and (0, - 4)

what is the length of TV screen if the width 25inches and the diagonal is 50 inches

Anna has $540 to spend at the bicycle shop → this means that she can spend the $540 or less, you can symbolize this as ≤ $540

Her costs include:

• A bicycle for ,$402.87

• 3 bicycle reflectors for $10.97/each, the total will be 3*10.97=,$32.91

• A pair of bike gloves for ,$14.42

• With the remaining money, she wants to buy as many biking outfits as possible. Let "o" represent the number of outfits she can buy, considering each one costs $44.90, then the total cost for the outfits can be symbolized as ,$44.90o

The calculation for her total expenses is the sum of everything she buys:

"Bicycle"+"Reflectors"+"Gloves"+"Outfits"≤$540

Using the costs listed above the expression is

Simplify the like terms, i.e. add the alone numbers together

Answer:

Perimeter of original triangle: 6+8+10=24 cm

Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)

Ratio of original to new is 24 to 12, simplified to 2 to 1.  

The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.

Area of original triangle: (6x8)/2=24 cm^2

Area of new triangle: (3x4)/2=6 cm^2

Ratio of original to new is 24 to 6, simplified to 4 to 1.

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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The probability that the mail arrival time is more than 20 minutes on a given day is 2/3.

It's nearly impossible to predict the outcomes of many events with a hundred percent certainty. However, we can still tell how likely the events are to happen.

Probability is how likely something is to happen. Probability can also mean a number that indicates the chance or likelihood that a particular event will occur. Probability is always between zero and one. Zero means impossible while one means certain. In most cases, the probability of something to happen is greater than zero and less than one.

Mathematically, we can express probability as P(A) = f/N where

Let P(A) represent the probability that the mail arrival time is more than 20 minutes on a given day, f represent the frequency (60 - 20), and N represent total number of possible outcomes, which is 60.

P(A) = (60 - 20)/60

P(A) = 40/60

P(A) = 4/6

P(A) = 2/3

There you have it! The probability is two-thirds.

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John will clean the house for 5/2 = 2.5 hours.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

Given, that John cleans the house 2 hours more than Jane.

Let x be the time taken by the Jane and x +2 be the time taken by John.

Total they work for 2 hours 24 minutes

first we will convert minutes into hours, 24/60

= 2.4 hours

Let time taken by John = 1/x+2

time taken by Jane = x

1/x + 1/(x+2) = 2.4

Taking lcm,

x+x+2 = 2.4(x)(x+2)

2x +2 = 2.4\(x^{2}\) +4.8x

2.4x\(x^{2}\)+2.8x -2 = 0

On solving it,

x = \(\frac{b-\sqrt{b^{2-4ac} } }{2a}\)

x = 1/2 and x = -5/3

only x = 1/2 is possible value.

Time taken by John = 1+1/2

=5/2

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Answer:

(0,1) is not the solution to the equation

Step-by-step explanation:

Given:

−3x − 8y = −8 (1)

y = 2 − x ​ (2)

Substitute (2) into (1)

−3x − 8y = −8 (1)

- 3x - 8(2 - x) = -8

- 3x - 16 + 8x = -8

- 3x + 8x = -8 + 16

5x = 8

x = 8/5

Substitute x = 8/5 into (2)

y = 2 − x ​ (2)

= 2 - 8/5

= (10-8) / 5

= 2/5

y = 2/5

Solution to the equation:

(x, y) = (8/5, 2/5)

Therefore,

(0,1) is not the solution to the equation

The solution to the equation (-3/4)(-16 + 8x) by applying the distributive property is 12 - 6x

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

The distributive property states that for three variables a, b and c, the following rule apply:

a(b + c) = ab + ac

Given that:

(-3/4)(-16 + 8x)

Applying the distributive property:

= (-3/4)(-16) + (-3/4)(8x)

= 12 - 6x

The solution is 12 - 6x

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Using natural logarithms properties, we will see that:

x = -1.596

Here we can use the property:

\(ln(a^b) = b*ln(a)\)

Now we have the equation:

\(4^{x + 3 }= 7\)

If we apply the natural logarithm in both sides, we get:

\(ln(4^{x + 3 })= ln(7)\\\\(x + 3)*ln(4) = ln(7)\\\\x + 3 = ln(7)/ln(4)\\\\x = ln(7)/ln(4) - 3 = log_4(7) - 3 = -1.596\)

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8 × \(10^5\) is 200 times greater than 4 × \(10^3\)  as according to multiplying and dividing as per the scientific notation of multiplication and division.

A kind of representation of number which is some power of 1/10 can also be expressed in as easily in scientific notation.

1/10 = \(10^{-1\)  (“ten to the minus one power”)

More generally, the expression “\(10^{-n\)” (where n is a whole number) means (1/10) n. Thus

\(10^{-3\) = \(\frac{1}{10}^{-3}\)

= 1/1000

\(10^{-8\) = \(\frac{1}{10}^{-8\)

= 1/100,000,000

Scientific notation was invented to help scientists (and science students) deal with very large and very small numbers, without getting lost in all the zeros.

Herein this question

8 × \(10^5\) can also thus be written as 2 x 4 × \(10^5\). On dividing with 4 × \(10^3\) we get 2 x \(10^2\). Thus, it is 2 x \(10^2\) i.e., 200 times larger than 4× \(10^3\).

The expression “10n”, where n can be stated as a whole number, simply means that “10 is raised to the nth power,” or in other words, a number that is got by using 10 as a factor n times.

You can also notice that the number of zeros that are present in the ordinary decimal expression is absolutely equal to the power to which thus 10 is raised.

If any kind of number is expressed in words, first we have to write it down as an ordinary decimal number and then we have to convert it. Thus, the value “ten million” becomes 10,000,000. There are a total of seven zeros, so in powers of ten notation ten million is written \(10^7\).

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Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

Answer:

Step-by-step explana what grade math is this?

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output.

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output, the table we use is called the Two-way Table.A two-way table is a table that shows the frequency distribution of categorical data in two different ways. It has two rows and two columns with one categorical variable defining the row and the other defining the column.To display the distribution of one variable along one dimension and the distribution of the other variable along the other dimension, we use a two-way frequency table. It's the same as a contingency table, but it includes frequency counts for each mix of the two variables.A two-way table is used in statistics to show the distribution of data when two different variables are taken into account. It is created to make comparisons between data in a tabular format to highlight correlations or relationships between the variables. Hence, the correct answer is the option d. Two-way Table.

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a) The null hypothesis is population mean sodium level (μ = 141),

b) H0: μ = 141 ; H1: μ ≠ 141

a. Perform a two-tailed test:To perform a two-tailed test, we need to set our level of significance alpha (α) at 0.01.

The null hypothesis would be that the population mean sodium level is the same as that given in the textbook

(μ = 141).

The alternative hypothesis would be that the population mean sodium level differs from that given in the textbook

(μ ≠ 141).

We will use the z-test since the sample size is greater than 30.

A two-tailed test is used when there is no prior assumption or knowledge about the population parameter, and we want to check whether the population parameter is greater than or less than the hypothesized value.

The null hypothesis would be that the population mean sodium level is the same as that given in the textbook (μ = 141), and the alternative hypothesis would be that the population mean sodium level differs from that given in the textbook (μ ≠ 141).

b. State the null hypothesis H0 and the alternative hypothesis H1:

H0: μ = 141

H1: μ ≠ 141

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Answer:

we have to know how many bracelets there are

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

Answer:

Pumpkin seed has more grams of protein per ounce

216 grams of protein

Step-by-step explanation:

1 pound = 16 ounce

16 ounce of sunflower seeds = 96 grams of protein

6.5 ounce of pumpkin seeds = 58.5 grams of protein

Which type of seed has more grams of protein per ounce?

Sunflower seeds:

Protein per ounce = 96 grams / 16 ounce

= 6 grams of protein per ounce

Pumpkin seeds:

Protein per ounce = 58.5 grams / 6.5 ounce

= 9 grams of protein per ounce

Therefore,

Pumpkin seed has more grams of protein per ounce

How many more grams of protein are there in 24 ounces of the higher-protein seeds?

Quantity of protein = 24 ounces ×

9 grams of protein per ounce

= 216 grams of protein

Answer:

the answer is A

Step-by-step explanation:

Answer:

The value of x is 70°

Step-by-step explanation:

Lines and Angles

We need to find the value of x that makes lines n and m parallel.

Please refer to the image below where we have added new variables to the original drawing.

If n and m were parallel, then:

y and 30° are corresponding angles, having the same measure.

w and 80° are vertical angles, having the same measure.

If the two above conditions are met, then the triangle has the angles y, w, and x. Since the sum of all internal angles of a triangle is 180°:

x + y + w = 180°

Substituting:

x + 30° + 80° = 180°

Solving for x:

x = 180° - 30° - 80°

x = 70°

The value of x is 70°

Answer:

d

Step-by-step explanation:

becuase its rigthh t

Answer:

D

Step-by-step explanation: