Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets

Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x

Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

[tex]p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247[/tex]

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

[tex]p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234[/tex]

Distribution of the difference:

[tex]p = p_h - p_n = 0.575 - 0.125 = 0.45[/tex]

[tex]s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower bound is [tex]0.45 - 1.96(0.034) = 0.3834[/tex]

The upper bound is [tex]0.45 + 1.96(0.034) = 0.5166[/tex]

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Answer:

the remainder is not just added to the quotient. it becomes the numerator of a fraction that is added to the quotient. the correct answer is x-3- the process works for dividing any polynomial

Answer:

So you're given that 7% is $126, and you have to find 100%. In order to do this you could set up proportions. 

1) 126/7=x/100

Next you can cross multiply and you'll get:

2) 12600=7x

Now divide each side by 7

3)12600/7=7x/7

And simplify

4)1800=x

Solution: $1800

Step-by-step explanation:

a. The area of the parallelogram ABCD in this problem is given as follows: 24 units squared.

b. The fraction of the area of the parallelogram that is shaded is given as follows: 1/4. (option C).

The area of a parallelogram is given by the multiplication of the length of the base by the height, as follows:

Area = base x height.

The base and the height for this problem are obtained counting the number of dots, hence:

Hence the area is given as follows:

Area = 4 x 6

Area = 24 units squared.

The shaded region is composed by a triangle with base 4 and height 3, hence:

Area shaded = 0.5 x 4 x 3 = 6 units squared.

(formula for the area of the triangle).

Meaning that the fraction is given as follows:

6/24 = 1/4.

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Answer:

x=-5/2

Step-by-step explanation:

First you need to make 1/4x into x, to do that you multiply 4 on both side.

1/4x*4=-5/8*4

After multiplying 4 on both side you get:

x=-5/2

Answer:

pretty sure it's B. Let me know if im wrong

Step-by-step explanation:

Answer:

a. the player was traded in the last 5 years

For the NBA player's salary, the indicator (dummy) variables are:

These are variables that have one of two answers such as yes and no or positive and negative. They are represented as 0 or 1 for the most part.

A player being traded in the last 5 years can either be a yes or no response just like if a player has won an NBA championship or if they are on an All-Star team.

In conclusion, options A, B, and F are correct.

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Answer:

1 hour and 15 minutes.

Step-by-step explanation:

Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.

I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.

Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.

Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.

Answer: 10,000

Step-by-step explanation: here's how I got my answer:

Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.

So, 1/2 * 10 =1/2

So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.

Answer:

31

Step-by-step explanation:

The Range is the difference between the lowest and highest values (3, 34)

Answer:

31

Step-by-step explanation:

To find the range of the data set, simply subtract the smallest number from the biggest number.

34 - 3 = 31

Therefore, the range of the data set is 31.

Answer:

b

Step-by-step explanation:

so 0.5x is a slope of 1/2, which is rise 1 | run 2, and b matches that!

Answer:

x + 23 = 65

x = 42

She had 42 buttons to begin with.

The United States' entry into World War I led to a rise in nationalism and patriotism, as well as a shift towards a more interventionist foreign policy. This had a lasting impact on the culture and international political policies of the country.

The United States' entry into World War I marked a significant shift in the culture of the country. Prior to the war, the United States had maintained a policy of isolationism, with a focus on avoiding involvement in foreign conflicts. However, the country's entry into the war marked a shift towards a more interventionist foreign policy, as the United States began to take a more active role in international affairs.

Answer:

I would say (option A)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

→ A) x < 2.

Hope this helps!

Answer:

(3 + x) ( a -2b)

Step-by-step explanation:

3a - 6b + ax - 2bx

3a + ax - 6b - 2bx

a(3 + x) - 2b (3 +x)

(3 + x) (a - 2b)

Answer:

(a-2b) (3+x)

Step-by-step explanation:

(3a-6b)+(ax-2bx)

(3a+ax)-(6b-2bx)

a(3+x)-2b(3+x)

(a-2b) (3+x)

Thanks

Hope it helps

The cost of the Bike wholesale after the markup is $236.25

From the question, we have the following parameters that can be used in our computation:

Bike wholesale = $189

Markup = 25%

The cost of the bike wholesale after the markup is then calculated as

Cost = Bike wholesale * (1 + markup)

Substitute the known values in the above equation, so, we have the following representation

Cost = 189 * (1 + 25%)

Evaluate the products

Cost = 236.25

Hence, the cost is $236.25

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Answer:

65 units

Step-by-step explanation:

Answer:

0.9 inches

Step-by-step explanation:

The sides of right triangles follow the Pythagorean Theorem:

a² + b² = c²

"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.

Let's plug in what we know.

a² + b² = c²

(1.2)² + b² = (1.5)²

Let's solve the exponents.

1.44 + b² = 2.25

Subtract 1.44 from both sides.

b² = 0.81

Take the square root of both sides.

√b² = √0.81

b = 0.9

The second side will be 0.9 inches.

The two scenarios that can be represented by a ratio 4:5 are

1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books

2. The ratio of marker to crayon , if there are 4 markers and 5 crayons. ( option A and D)

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

For a scenario that will give ratio of 4:5, it means the first entity will be 4 and the second entity will be 5.

Therefore the two statements that obey this in the option are

1. The ratio of fiction books to the non fiction books, if there are 4 fiction books to 5 non fiction books

2. The ratio of marker to crayon , if there are 4 markers and 5 crayons.

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Therefore , the solution of the given problem of trigonometry comes out to be c =6.

Trigonometry is a discipline of mathematics that examines relationships between triangles' angles and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Given :

In triangle LMN,

m∠L = (4c + 53)°.

∠L  = 87°

To find the value of c:

87° =  (4c + 53)°

=> 4c = 87-53

=> 4c = 24

=> c =6

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

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Answer:

When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped

Step-by-step explanation:

Answer:

The survey can be filled out in 120 different ways.

Step-by-step explanation:

The possible options are:

One professor from a set of four.

One meal from a set of five.

One weekend activity from a set of six.

Calculate the number of different ways the survey can be filled out if students select one from each category.

The multiplication of the number of possible outcomes for each trial. So

4*5*6 = 20*6 = 120

The survey can be filled out in 120 different ways.

Answer:

67.5 cm^3

Step-by-step explanation:

To find a rectangular prism volume, you just multiply height, width, and length. So you would multiply 2.5 * 4.5* 6 = 67.5 cm^3.

Answer:

115%

Step-by-step explanation:

Given that,

The initial price of an item = $180

The final price of an item = $387

We need to find the percentage increase. It can be calculated as follows :

[tex]\%=\dfrac{\text{Change in price}}{\text{initial price}}\times 100[/tex]

Put all the values,

[tex]\%=\dfrac{387-180}{180}\times 100\\\\=115\%[/tex]

So, the required percentage increase is 115%.

Answer:

64

Step-by-step explanation:

ˣ= 8

Since x² it means you have to multiply

8 two times

8 x 8= 64

9514 1404 393

Answer:

  B.  470 miles

Step-by-step explanation:

Using numbers rounded to the nearest 10, the remaining distance is ...

  1270 -420 -380 = 470 . . . . miles