Write the term for each definition.


A. a comparison of two quantities ___________


B. an equation stating that two ratios are equivalent ___________


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Answer: 6 Cars

Step-by-step explanation:

Well make sure the denominators are the same

15 3/4 --> 15 6/8

2 5/8 stays the same

Then just add 2 5/8 by itself

6 would be the answer

2 times 6 = 12

5/8 times 6 = 30/8

30/8 = 3.75

12 + 3.75 = 15.75

15 3/4 = 15.75

Mean and standard deviation of the height of the population using empirical rule is equal to 65inches and 3 inches.

As given in the question,

Distribution of height in women population:

Percent of women heights less than 62inches = 16%

As per Empirical rule of normal distribution,

It is less than 68% it comes in first standard deviation

μ - σ = 62 __(1)

Percent of women heights less than 71 inches = 97.5%

As per Empirical rule of normal distribution,

It is in the range of  97.5% it comes in second standard deviation

μ +2σ = 71 __(2)

Solve (1) and (2) we get,

μ - σ = 62

μ +2σ = 71

0 - 3σ = -9

⇒ σ = 3inches

⇒ μ = 62 + 3

       = 65inches

Therefore, the using empirical rule the mean and standard deviation to represent the height of population is equal to 65inches and 3 inches respectively.

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The cost to rent each chair is $3, and the cost to rent each table is $5.

Let's denote the cost to rent each chair by c and the cost to rent each table by t.

From the problem statement, we have the following two equations:

3c + 5t = 37

12c + 2t = 31

We can solve for c and t by using elimination or substitution. Let's use substitution.

From the first equation, we can solve for c in terms of t:

c = (37 - 5t) / 3

Substituting this expression for c into the second equation, we get:

12((37 - 5t) / 3) + 2t = 31

Simplifying and solving for t:

74t - 166 = 0

t = 2.24

Now we can use either of the two original equations to solve for c. Let's use the first equation:

3c + 5(2.24) = 37

Solving for c:

c = 3

Therefore, the cost to rent each chair is $3, and the cost to rent each table is $5.

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Here we need to plot x and y co-ordinates from the given table.

This is 2D co-ordinate geometry here we have an x axis and a y axis we use co-ordinate geometry to plot lines and curves according to the gives question.when the question consist of linear equations they form straight lines and when questions consists of quadratic and higher degree polynomials they form curves.

a. Here the the days are represented by x and remaing balance are represented by y.

So, when x = 0, y = 20 is co-ordinate form we can represent this as (0,20)

similarly the other co-ordinate points are (1,16), (2,12), (3,8), (4,4), (5,0).

b. x- and y- intercepts represnts the value of one variable corresponding to the other variable.

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Answer:

Perimeter of a square = 40 acres

Step-by-step explanation:

Given the following data;

Area of square = 100 acres

The area of a square is given by the formula;

Area of square = l²

Where: l is the length of its sides.

100 = l²

Taking the square root of both sides, we have;

l = 10 acres

Now to find the perimeter;

Perimeter of a square = 4 * length of sides

Perimeter of a square = 4 * 10

Perimeter of a square = 40 acres

How to find slope?

If two point are

Slope is given by

\(\\ \sf\longmapsto Slope=m=\tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}\)

The time spent on homework will be naturally more an explanatory variable and exam grade a response variable.

The Linear equation for a scatter plot y = mx+b has two variables i.e., a Dependent Variable [Y] and an Independent variable [X] .

A student who spends more time on his work and do it nicely will automatically get good exam grade . On the other side, a student who did'nt dedicate much time to the homework and carelessly does it , will obviously score a low exam grade.We can see that the exam grade is dependent on the time spent on the homework which naturally makes exam grade a response variable and time spent on home a independent thus an explanatory variable.

Hence, the time spent on homework will be naturally more an explanatory variable and exam grade a response variable.

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Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

4x−7=−3x

Step 1: Add 3x to both sides.

4x−7+3x=−3x+3x

7x−7=0

Step 2: Add 7 to both sides.

7x−7+7=0+7

7x=7

Step 3: Divide both sides by 7.

7x

7

=

7

7

x=1

The boat's speed in calm water is approximately 5.57 mph and it traveled approximately 14.57 miles in one direction.

Let's denote the speed of the boat in calm water as $b$ (in mph) and the distance it traveled in one direction as $d$ (in miles).

When traveling with the current, the effective speed of the boat is $b+3$, and when traveling against the current, the effective speed is $b-3$. We can use the formula:

distance

=

speed

×

time

distance=speed×time

to set up two equations based on the distances traveled:

�

=

3

(

�

+

3

)

(with the current)

d=3(b+3)(with the current)

�

=

4

(

�

−

3

)

(against the current)

d=4(b−3)(against the current)

We can simplify these equations to:

3

�

+

9

=

4

3

(

�

+

9

)

(with the current)

3b+9=

3

4

​

(d+9)(with the current)

4

�

−

12

=

�

(against the current)

4b−12=d(against the current)

Now we can solve this system of equations for $b$ and $d$.

Starting with the second equation, we can isolate $d$:

�

=

4

�

−

12

d=4b−12

Substituting this into the first equation:

3

�

+

9

=

4

3

(

4

�

−

12

+

9

)

3b+9=

3

4

​

(4b−12+9)

Simplifying and solving for $b$:

3

�

+

9

=

4

3

(

4

�

−

3

)

3b+9=

3

4

​

(4b−3)

9

�

+

27

=

16

�

−

12

9b+27=16b−12

7

�

=

39

7b=39

�

=

39

7

≈

5.57

mph

b=

7

39

​

≈5.57 mph

Now we can use either equation to find $d$. Let's use the second equation:

�

=

4

�

−

12

=

4

(

39

7

)

−

12

≈

14.57

miles

d=4b−12=4(

7

39

​

)−12≈14.57 miles

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Answer:

n = 11

Step-by-step explanation:

n+5=2n-6

you add 6 on both sides and you get

n+11=2n

you then subtract n on both sides and get

11=n

Step-by-step explanation:

n+5 = 2n - 6 -> Original equation

5 = n - 6 -> Take n away from both sides

11 = n -> Add 6 to both sides

n = 11 -> Final answer

*Remember, we are trying to get n by using inverse operations.

Answer:

D. 34 - 7

Step-by-step explanation:

7 less than 34 represents a subtraction expression (based off the word "less", this would immediately cut out all other answers that do not have a minus sign. Such as A, B, E, and F.

We are only left with C and D, let's look at the phrase again :

"7 less than 34"

The phrase insinuates that the answer is 7 values less than the original number 34.

Meaning that 7 must be subtracted, leaving us with D. 34 - 7

Answer:

30

50

90

+ 40

Step-by-step explanation:

Hope this helps u

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Answer: -12x

Step-by-step explanation: 4x +4 −2 −2x

Calculate x to the power of 1 and get x.

4x+4×( −2 −2x )

Calculate 2 to the power of −2 and get  41.

4x+4×( − 41x)

Divide x by − 41

​by multiplying x by the reciprocal of − 41 .

4x+4×( −1x×4)

Anything divided by -1 gives its opposite.

4x+4(−x×4)

Multiply 4 and −1 to get −4.

4x−4x×4

Multiply −4 and 4 to get −16.

4x−16x

Combine 4x and −16x to get −12x.

−12x

Based on a reaction rate coefficient of 0.2/day, the sewage's half-life is 3.46 days. If the starting amount of sewage was one unit, then there would be roughly 0.16 units remaining after 5 days.

The equation: can be used to determine the half-life (t1/2) of a chemical undergoing first-order decay.

t1/2 = ln(2) / k

where k is the reaction rate coefficient and ln(2) is the natural logarithm of 2.

Substituting k = 0.2/day into the equation, we get:

t1/2 = ln(2) / 0.2 = 3.46 days (rounded to two decimal places)

As a result, the sewage has a half-life of roughly 3.46 days.

We can apply the following equation to determine how much sewage would be left after five days:

N(t) = N0 * e(-kt)

where N(t) is the quantity of sewage still present at time t, N 0 is the quantity of sewage present at the beginning, and e is a mathematical constant roughly equal to 2.71828.

Since Suppose it is one unit (e.g. 1 kilogram, 1 gallon, etc.). The equation can then be changed to include N 0 = 1 and k = 0.2/day in order to find N(5):

N(5) = 1 * e(-0.2*5) ≈ 0.16 units (rounded to two decimal places)

Therefore, After 5 days, there would be about 0.16 units of sewage remaining.

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Answer: 3v+15

Step-by-step explanation:

Using distribution, you simply multiply everything in the brackets by the three. This gets you 3v+15.

Answer:

(3v + 15)

Step-by-step explanation:

If you use the distributive property, you times 3 x v = 3v

and you multiply 3 x 5 = 15

Put those together and you have your answer!

Kelly bought digital cameras for $56 each and applied a 65% price increase to determine the selling price. To find the selling price of one camera, we need to calculate the price increase and add it to the original purchase price.

To calculate the price increase, we first find 65% of the original purchase price ($56) by multiplying it by 0.65:
Price increase = 0.65 * $56 = $36.40
Next, we add the price increase to the original purchase price to find the selling price:
Selling price = $56 + $36.40 = $92.40
Rounded to the nearest dollar, the selling price for one camera is $92.
Therefore, the selling price for one camera, after a 65% price increase, is approximately $92.

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The expression "negative 1.7 divided by negative 10.06" or -1.7 ÷ -10.06 has a positive quotient.

Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:

(+) divided by (+) equals (+)

(-) divided by (-) equals (+)

(+) divided by (-) equals (-)

(-) divided by (+) equals (-)

To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).

2.5 divided by negative 9.56 : +/- = -

negative 1.7 divided by negative 10.06 : -/- = +

negative 9.34 divided by 0.55 : -/+ = -

negative 0.3 divided by 9.44 : -/+ = -

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In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.

The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Answer:

Let y be the no. of people she can bring

18 + 16.5y <= 150

Step-by-step explanation:

Answer:

16.5y + 18 = 150

16.5y + 18 = 150

        -18    -18

        0       132  

          16.5y     132

          16.5       16.5

y = 8

Ms.Lemon can bring 8 people including herself

Step-by-step explanation:

First you are going to rewrite the equation then do the inverse operation of addition. Then, subtract 150 from 18 then you get 132 then you bring down 16.5y and cancel it out by dividing and then you divide 132 by 16.5 and you get 8 so Ms.Lemon can bring 8 people including her self.

Answer:

Sandy's portion = \(\mathsf{\dfrac{7}{48}}\)

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = \(\dfrac{350}{2400}\)

Sandy's portion = \(\dfrac{35}{240}\)

Sandy's portion = \(\mathsf{\dfrac{7}{48}}\)

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Answer:

a- 130, 130, and 50

b- 7 and 10

Answer:

a- 130, 130, and 50

b- 7 and 10

Step-by-step explanation:

1) In the context of statistics, the term "normal" is referred to a distribution of the data that follows the characteristic of the Normal distribution: symmetrical and bell shaped.

It was named "normal" distribution because it represents many distributions of measures in nature. But it does not represent what is normal or not in all the possible contexts.

2) If we graph the histogram of the data, we can check if the distribution is normal-like byb looking at those two characteristics: how symmetric is the distribution of the data around the mean (the more symmetric, the closer to the normal distribution) and the shape of the distribution (it should be bell-shaped, with more data around the mean and less on the tails).

The probability that the commute time for a randomly selected day will be less than 18 minutes is calculated to be 0.0455 or 4.55%.

We can use the standard normal distribution to answer this question. We first need to standardize the commute time using the formula:

z = (x - μ) / σ

where x is the commute time we are interested in, μ is the mean commute time, and σ is the standard deviation of commute time.

Plugging in the values given in the problem, we get:

z = (18 - 26.7) / 5.1 = -1.69

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score being less than -1.69 is approximately 0.0455.

Therefore, the probability that John's commute time for a randomly selected day will be less than 18 minutes is about 0.0455 or 4.55%.

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The complete question is :

How is the probability calculated for the commute time being less than 18 minutes, given that the mean commute time is 26.7 minutes and the standard deviation is 5.1 minutes? How is the standard normal distribution used to calculate this probability, and what is the resulting probability expressed as a percentage?

Answer:

C. 19.5mm

Step-by-step explanation:

The correct answer should be C.

be a use the measurement starters before the zero. I added a picture. So you need to look at the line of the other zero matching on the ruler.