Last year 20% of the people who applied for nursing school were
accepted. The nursing school accepted 80 people last year. How many
people applied to the nursing school last year?

Question 4.

From the answers in part 1 and part 2, we have:

• Equation for the wallpaper of family room:

• Equation for the wallpaper of the living room:

Let's solve for the following:

• (a) Area of the living room when x = 8

Substitute 8 for x in the second equation which represents the area of the living room and evaluate:

When x = 8, the area of the living room is 1024 square feet.

• (b). Area of the family room when x = 8.

Substitute 8 for x in the first equation which represents area of the familiy room and evaluate

When x = 8, the area of the family room is 1323 square feet.

• (c). Let's determine how much more square feet the living room will require.

Area of family room - area of living room = 1323 square feet - 1024 square feet = 299 square feet.

Therefore, you will need 299 more square feet of wallpaper for the living room than the family room

Answer:

The answer is A & E

Step-by-step explanation:

quadratic

y=-16x^2 + 150

Answer: A and E

Step-by-step explanation:

edge 2023

Answer:

x + 31\(\frac{1}{2}\)

Step-by-step explanation:

P = x + 2/(21 - 2x) + x + 2/(21 - 2x) + x + 2/(21 - 2x) + x

= x + 21/2 - x + x + 21/2 - x + x + 21/2 - x + x

= x + 21/2 + 21/2 + 21/2

=x + 31\(\frac{1}{2}\)

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.

Step-by-step explanation:

Let the Zach's age be Z years.

6 times older than Zach = 6Z

Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)

Now,

\(6Z=3(Z+8)\)

\(6Z=3Z+24\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=\dfrac{24}{3}\)

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) and Zach's age is 8 years.

Answer:

22 1/4 or 22.25

Step-by-step explanation:

4x + 7 = 92

4x = 85

x = 22 1/4

We must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.

To find the amount:

Given -

Estimate the initial deposit required to obtain $10,000 in 6 years:

Therefore, we must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.

Know more about compound interest here:

https://brainly.com/question/24924853

#SPJ4

The correct question is given below;
You can earn 8 percent interest, compounded annually. How much must you deposit today to withdraw $10,000 in 6 years?

A. $5,402.69

B. $6,301.70

C. $6,756.76

D. $8,432.10

E. $9,259.26

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

Learn more about sample at https://brainly.com/question/30759604

#SPJ11

Principal Component Analysis (PCA) is a dimensionality reduction technique used to simplify complex datasets while retaining important information. It achieves this by transforming the original variables into a new set of variables called principal components.

These principal components are linear combinations of the original variables and are designed to capture the maximum amount of variance in the data.

Here's a detailed explanation of the steps involved in PCA:

1. Standardize the data:

  First, the dataset is standardized by subtracting the mean from each variable and dividing by the standard deviation. Standardizing the data ensures that each variable contributes equally to the analysis and prevents variables with larger scales from dominating the results.

2. Compute the covariance matrix:

  The covariance matrix is calculated based on the standardized data. It represents the relationships between different variables in the dataset. The covariance between two variables measures how they vary together. A positive covariance indicates that the variables tend to increase or decrease together, while a negative covariance indicates an inverse relationship.

3. Compute the eigenvectors and eigenvalues:

  The eigenvectors and eigenvalues are calculated from the covariance matrix. Eigenvectors represent the directions in the dataset along which the data varies the most. Each eigenvector corresponds to an eigenvalue, which represents the amount of variance explained by the respective eigenvector. The eigenvectors are sorted in descending order based on their corresponding eigenvalues.

4. Select the principal components:

  The principal components are selected based on the eigenvalues. The first principal component (PC1) corresponds to the eigenvector with the largest eigenvalue and captures the most variance in the data. Subsequent principal components capture decreasing amounts of variance. Typically, a subset of principal components that explain a significant portion (e.g., 95%) of the total variance is chosen.

5. Transform the data:

  The original data is transformed into the new coordinate system defined by the principal components. This transformation involves multiplying the standardized data by the matrix of selected eigenvectors. The resulting transformed data contains the scores along the principal components.

PCA is useful for various purposes, including dimensionality reduction, data visualization, and feature extraction. It allows for the identification of patterns and relationships within the dataset while reducing the dimensionality of the data, which can be beneficial in computational efficiency and interpretation.

Learn more about Principal Component Analysis here

https://brainly.com/question/30101604

#SPJ11

Answer:

27

Step-by-step explanation:

Answer:

\(m=-4\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (5, 6)

Point (7, -2)

Step 2: Find slope m

Answer:

molly is baking cookies. she baked 45 cookies and she needs to put a certain amount in 5 different boxes so that way everyone has an equal amount. how much cookies need to be in each box

Step-by-step explanation:

Answer:Joe is feeding cows and he has 45lbs of grass and there are 5 cows how much does each cow get fed?

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Attached is the pedigree. I found this exercise on the Internet.

The probability that both john and sue are carriers is:

The missing characters are: II-5, II-6, II-8, III-10, III-11, III-12, III-13.

Individual II-5 will have half black/half white squares. It's a square because it shows in the book that John's grandmother (I-2) fell ill.

Half black/half white transmits an allele that requires the disease allele because his mother has the disease, and his father does not carry or show the disease, so from him, John's father (II-5) only got one. normal allele.

The person will ask II-6 questions in a circle. A circle because John's mother once father is Example II-5. Since she has a daughter (John's Sister) with the disease, it means that John's sister inherited both alleles for the disease.

The Personal II-8 will have a half-black/half-white circle.

Circle because Sue's mother and father Probability Example II-7 (square). Half black/half white transmits an allele that requires the disease allele because her father has the disease, and her mother does not carry or show the disease, meaning she is from her, Sue's mother (II-8). take an old allele.

The person will ask the III-10 questions in a circle. The circle is because she is John's sister mentioned in the text. The question mark is that we can't be sure if this is an allele.

We know from the records that he has no symptoms of the disease, but if his mother is infected with only one allele, he may have inherited an allele from his father or mother, or he will inherit the disease allele. The disease allele comes from the mother, not from the father if the mother has the disease.

John, There will be questions in the People III-11 box. Square because John is a man. The question mark is that we can't be sure if this is an allele. We know from the literature that he has no symptoms of the disease, but if his mother is a carrier of only one of the disease alleles, he may have inherited the disease allele from his father. disease allele. If her mother has a disease, it is not from her father, but from her mother.

SU will have questions in the Humans III-12 circle. Circle it because she's Sue, the woman. The question mark is that we can't be sure if this is an allele. From the instructions, we learn that he has no symptoms of the disease, but that he may have inherited the disease allele from his mother, and that after his mother has the disease allele, he too can be a carrier or transmit the disease to others. The disease allele has inherited the normal allele from its mother. He inherited only one normal allele from his father.

III-13 individuals will have questions in the square. A square because according to the guide, he is Su's brother. The question mark is that we can't be sure if this is a disease allele. We know from the records that she did not show any signs of the disease, but she probably inherited the disease allele from her mother, and when her mother has the disease allele, she will also be a carrier or inherited. original allele from its mother. He inherited only one normal allele from his father.

Complete Question:

John and sue are expecting a child, but are concerned about a rare autosomal recessive disease that is present in both of their families. in the pedigree below, john is represented as individual iii-11 and sue is represented as individual iii-12. john\'s sister, iii-10, and sue\'s brother, iii-13, both do not show evidence of the disease, but john\'s paternal grandmother and sue\'s maternal grandfather both had the disease. assign the appropriate symbol to each individual in the pedigree. what is the probability that john is a carrier? probability: 66.7 % what is the probability that both john and sue are carriers?

Learn more about Probability:

https://brainly.com/question/30034780

#SPJ4

Answer:

x+150+77+48=360

x+275=360

x=85

Step-by-step explanation:

Answer:

This distance between the two points is 10.

Step-by-step explanation:

You can use The Distance Formula. The Distance Formula is:  \(D\sqrt{(x^2 - x^1)^2 + (y^2 - y^1)^2}\) . Fill in for the x and y and you should get: \(D\sqrt{(6-0)^2 + (8-0)^2}\) . Then do the math, and you should get: \(D\sqrt{(6)^2 + (8)^2}\) .

Then after doing the squared, you should get: \(D\sqrt{36 + 64 }\) . Then after added them, ( \(D\sqrt{100}\) ) You find the square root of the answer ( 100). So that would be: 10.

So from (0,0) to (6,8), the distance from these two points is 10.

The distance between the points (0,0) and (6,8) is 10.

The distance between the points (0,0) and (6,8)

The distance between two points is determined by the following formula;

\(\rm Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

Here, \(\rm x_1 = 0 , \ y_1 =0, \ x_2 = 6, \ y_2 =8\)

Substitute all the values in the formula

\(\rm Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\rm Distance = \sqrt{(6-0)^2 + (8-0)^2}\\\\\rm Distance = \sqrt{36+64}\\\\\rm Distance = \sqrt{100}\\\\\rm Distance = 10\)

Hence, the distance between the points (0,0) and (6,8) is 10.

To know more about the Distance formula click the link given below.

https://brainly.com/question/12864470

Answer:

b

d

b

a

c

the answer is this

Based on the price of the stamp in 1996, and the increase in 2010, the following are true:

The price in 2010 was:

= 3,500 x 225/100

= $7,875

The GST in 2010 is:

= (7,875 / 1.07) x 7%

= $515.19

The GST in 1996 is:

= (3,500 / 1.03) x 3%

= $101.94

The increase in the GMT is:

= (515.19 - 101.94) / 101.94

= 405%

Find out more on price increases at https://brainly.com/question/25783683.

#SPJ1

Based on the number of colored pencils packaged, the rulers, and the glue sticks, the smallest number of each supply you will need to make the kits are not have any supplies left over are:

To find the smallest number of each supply that can go into making kits such that there is no leftover over, divide each of the quantities by their highest common factor.

The highest common factor of 4, 12, and 30 is 2.

The smallest quantities of each are:

Colored pencils:

= 12 / 2

= 6 colored pencils

Rulers:

= 30 / 2

= 15 rulers

Glue sticks:

= 4 / 2

= 2 glue sticks

The total number of items needed to make the kits is:

= 6 + 15 + 2

= 23 items

Full question is:

The parents teachers association at your school donated school supplies to help increase student creativity and student success in the classroom. Your teacher would you to create kits that include one package of colored pencils, one glue stick, and one ruler. When you receive the supplies, you notice the colored pencils are packaged 12 boxes to a case, the rulers are packaged 30 to a box, and glue sticks are packaged 4 to a box.

What is the smallest number of each supply you will need in order to make kits and not have supplies left over?

Find out more on the highest common factor at https://brainly.com/question/219464

#SPJ1

The solutions to cos is 60°, 180°, 300°.

A trigonometric equation is what?

An equation with one or more trigonometric ratios of unknown angles is said to as trigonometric.

The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it. A trigonometric equation is cos2 x + 5 sin x = 0, for instance.

Given,

cos (x/2) - sin (x) = 0

⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0

⇒ cos (x/2) [1 - 2sin (x/2)] = 0

Therefore,  cos (x/2) = 0 = cos (90°)  (x/2 can't be 270°)

⇒ x = 180°

Again,  [1 - 2sin (x/2)] = 0

⇒ 2sin (x/2) = 1

⇒ sin (x/2) = 1/2

⇒ (x/2) = 30°, 150°

⇒ x = 60°, 300°

The solutions to cos is 60°, 180°, 300°.

To learn more about Trigonometric visit:

brainly.com/question/14746686

#SPJ4

Answer:

300 pages

Step-by-step explanation:

this is the answer

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

Answer:

7A, 8D

Step-by-step explanation:

The compound interest formula is as followed

\(A = P(1+\frac{r}{n} )^{nt}\\\)

A = accumulated amount

P = principle

r = interest rate

n = compounding

t = time

The accumulated amount is represented by f(x).

The principle is the amount of money you start with. In this case Tommy starts with 2000 dollars. P = 2000

The interest rate is 5%. This needs to be converted into a decimal.

5% = 0.05 = r

The money is compounded annually, thus n = 1.

The time is represented by x. x = t.

thus

\(f(x) = 2000(1+0.05)^{x}\)

After six years, you simply find f(6), or substitute 6 into x.

f(6) = 2000(1.05)^6 = $2,680.19

Answer:3.5d

Step-by-step explanation:

If you would multiply the cost(d) by 3.5, the answer is 3.5d.

Answer: 3.5d

Step-by-step explanation: All you do is multiply 3.5 times d (cost of the ingredients). No matter how d changes, the answer will be true because d is equivalent to just whatever the ingredients cost at that time.

Answer: 1.5% increase

Step-by-step explanation:

Vote me brainliest!!!

Answer:

$10285.29

Step-by-step explanation:

The idea is to solve for the final amount when $7000 is invested and compounded

given data

principal= $7000

rate= 8%= 0.08

time =5years

We know that the expression for the final amount is

\(A = P(1 + {r)^{t}\)

A = 7000(1 + {0.08)^5

A=7000(1.08)^5

A=7000(.469328)

A= 10285.29

They have available to spend on that vacation $10285.29

Answer:

\(8\).

Step-by-step explanation:

Notice that in equation for the total dollar amount collected (\(12+ 1.75\, n\)), every additional bottle sold at the new price brings in \(1.75\) dollars:

\(\begin{aligned}& 12 + 1.75\, n && \text{$n$ bottles at new price} \\ -\; & 12 + 1.75\, (n+1) && \text{$(n+1)$ bottles at new price} \\ =\; & 1.75\end{aligned}\).

Therefore, the per-bottle price after the \(\$0.25\) price increase would be \(\$1.75\). The per-bottle price before the price increase would be \(\$1.75 - \$0.25 = \$1.50\).

Also notice that when \(n = 0\), the total amount collected was \(t = 12 + 1.75\, n = 12\). In other words, the total amount collected was \(\$12\) before any bottle was sold at the new price.

Thus, the vendor had collected \(\$12\!\) by selling at the initial price of \(\$1.50\) per bottle. The number of bottles sold at that price would be:

\(\begin{aligned}\frac{12}{1.50} = 8\end{aligned}\).

The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set.

When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.The horizontal axis represents one variable while the vertical axis represents the other. Each point on the graph represents one set of data that corresponds to both variables, with the x-value and y-value corresponding to the respective data points being plotted.Scatterplot versus: A scatter plot has two axes that correspond to two variables. In a scatter plot, we can determine how one variable changes as the other variable changes. The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set. When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.

learn more about  variables here;

https://brainly.com/question/14783330?

#SPJ11