In triangle XYZ, the measure of angle X is 84, the measure of angle Y is (r + 59) and the measure of angle z is (r + 51), find the value of r and the measure of angle Y.

The equation to convert rte number of meters to kilometers will be y = x / 1000.

It should be noted that 1000 meters = 1 kilometer. Therefore, the equation to convert the number of meters to kilometers will be:

y = x / 1000.

The equation that can be used to relate the concrete blocks and weight will be:

w = 28b

b = w / 28

The cost of the nylon per meter will be:

L = p / 0.8

The length of a piece of nylon that cost $1 will be:

L = 1 / 0.8

L = 1.25

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Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

for (-3)^4, if there were more numbers in the parentheses, the exponent would apply to all numbers in the parentheses

for -3^4, the exponent would only apply the -3.

hope this helps!

Answer:

-3^4=-81 and (-3)^4=81

Step-by-step explanation:

Following the rules of PEMDAS you will do exponents before multiplcation.

A negative sign means that you are multiplying by -1.

-3^4 means you will raise 3 to the 4th power and then multiply by -1. So you will do 3^4 first which is 81 and then multiply by -1. Making the answer -81.

When you put parentheses around the -3 it means you are raising the entire -3 to the power of 4 instead of only the 3. So it will be -3*-3*-3*-3 which is 81.

The current asset is $10,150, the total long term asset is $13108, the total current liabilities is $985, the long term liabilities is $9982 and the total equity is $12273

The company has $10,150 in current assets, which are made up of $8,250 in cash, $1,225 in inventory, and $675 in accounts receivable.

The company has $985 in current liabilities, which are made up of $485 payable to suppliers and a $500 loan that must be repaid in the following six months.

The owner's equity is equal to the $12,000 initial investment plus the $1,291 in earnings retained less the $2,018 in long-term loan repayment plus the $1,000 set aside for long-term investment, for a total of $12,273.

The value of the company's assets (land, buildings, and equipment) plus the owner's equity, or $12,273 + $8,878 + $4,230, equals the net worth of the business, or $25,381.

a) The current assets of the company are:

$8,250 in cash

$1,225 in inventory

$675 in accounts receivable

The current assets total $10,150.

b) The long-term assets of the company are:

Land and building worth $8,878

Equipment worth $4,230

The total long-term assets of the company are $8,878 + $4,230 = $13,108.

c)The current liabilities of the company are:

$485 owed to suppliers

$500 loan to be paid off in the next six months

The total current liabilities of the company are $485 + $500 = $985.

d)The long-term liability of the company is the five-year loan of $12,000, of which $2,018 has been paid back, leaving a remaining balance of

= $12,000 - $2,018 = $9,982.

e) The total equity of Company X

= $12,000 (initial investment) + $1,291 (retained earnings) - $2,018 (repaid long-term loan) + $1,000 (long-term investment)

= $12,273.

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Answer: D!!

Step-by-step explanation: No explanation so you can move on quickly!!!!:))

Answer:

The answer is dependent on how many chairs are available. Then you will be able divide the number of students by how many sections there are.

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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1.125 cups of frozen mango is needed to serve one

A smoothie recipe contains 2 1/4 cups of frozen mango

This recipe can serve a total number of two people

The first step is to change the mixed fraction to an improper fraction

2 1/4

9/4

The number of cups of frozen mango needed to serve one person is

9/4 ÷ 2

9/4 × 1/2

= 9/8

= 1.125

Hence the number of cups of frozen mango required to serve one person is 1.125

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the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

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Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

y-intercept=2

Step-by-step explanation:

2y=-3x+4

divide both sides by 2

y=-1.5x+2

y=mx+c

'c' is the y-intercept so '2' is the answer.

Answer:

= -3/2

Step-by-step explanation:

The equation of the line = 2y = -3x + 4

2y = -3x + 4

2y = -3x + 4

2 2 2

y intercept of the line = -3/2.

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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The probability that the winner will pull out at least one $100 bill is 7/36, or 19.4%.

The probability of an event occurring is determined by the number of favorable outcomes divided by the total number of possible outcomes.

In this problem, the favorable outcome is that the winner will pull out at least one $100 bill, while the total number of possible outcomes is the number of ways to select 4 bills from the hat, which is 36.

Thus, the probability of the winner pulling out at least one $100 bill is calculated by dividing the favorable outcome by the total number of possible outcomes.

Since there are 7 $100 bills in the hat, the favorable outcome is 7. The total number of possible outcomes is 36, which is calculated by using the formula nCr, where n is the total number of objects and r is the number of objects selected.

In this case, n = 36 and r = 4, so the equation is 36C4.

Thus, the probability that the winner will pull out at least one $100 bill is 7/36, or 19.4%.

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Punnet squares are a diagram which biologist use to determine the probability of an offspring having a particular trait.

Steps to calculate Punnet square:

Step 1 : Determining parental genotypes

Step 2: Set up the Punnet square

(a) Draw a square with four boxes within it.

(b) Write the mother's genotype on top of the square. Each letter will be above one box.

(c) Write the father's genotype on the left side of the square. Each letter will be next to one box.

Step 3: Cross the P generation

Step 4: Determine the Phenotypes of the F1 generation

Step 5: Calculate Phenotypic probabilities

So this is how we calculate Punnet square.

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Answer:

B 4.6 and 9.4 hours per night.

Step-by-step explanation:

Answer:

y=1/3x +16/3

Step-by-step explanation:

m=(y2-y1) / (x2-x1)

   =(6-5) (2- -1)

    =1/3

Substitute in m and either point into the point slope form

y=m(x-x1) + y

y=1/3(x- -1) +5

y=1/3(x+1) +5

Now lets distribute the 1/3 to and combine the constants to put the answer in standard form

y=1/3x + 1/3 + 5

y=1/3x +1/3 + 15/3

y=1/3x +16/3

Answer:

-60 divided by -10

Answer:

answer on edmentum.

Step-by-step explanation:

Answer:

We reject H₀ we found that at 5% significance level the single file causes shorther waiting times

Step-by-step explanation:

We will develop a chi-square test since it is a standard deviation test.

Conditions for chi-square test

1.-Population follows a normal distribution

2.-We have a random sample

Therefore

Test Hypothesis

Null hypothesis                           H₀            σ   =  7,2

Alternative hypothesis               Hₐ            σ   <  7,2

So it is a one tailed-test to the left

Sample size      n  = 25

Then df  =  25 - 1      df  = 24

Significance level  α = 5%    α = 0,05

With   df = 24  and   α = 0,05  we find

Χ₀ = 36,415  

Computing  X(s)

X(s)  = ( n - 1 ) * σ² / (7,2)²

X(s)  =  24* (3,5)² / 51,84

X(s)  =  294/51,84

X(s)  =  5,67

Comparing     Χ₀     and      Χ(s)

X(s) <   Χ₀

So X(s) is in the rejection region and we reject H₀

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

3 divided by 595 is 0.00504202

Step-by-step explanation:

Answer:

0.0050420168

Step-by-step explanation:

turn 3 to a decimal, then just divide

3.00 / 595 = 0.0050420168

Answer:

The ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.

Step-by-step explanation:

We know that some of the trigonometric ratios such as

In our case

Ф  = ∠A

As we have to determine the ratio equivalent to the sin of ∠A

so

sin Ф = Opposite / Hypotenuse

Here:

Ф  = ∠A

Opposite of ∠A = BC

Hypotenuse = AB

Thus,

substituting Ф  = ∠A, Opposite = BC, Hypotenuse = AB

sin Ф = Opposite / Hypotenuse

sin ∠A = BC / AB

Therefore, the ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.

Answer:

Figure 1: complementary

figure 2: adjacent

figure 3: supplementary

figure5: supplementary

Answer:

x=5

Step-by-step explanation:

(4x-5)/5 = 3

Multiply each side by 5

4x-5 = 3*5

4x-5 = 15

Add 5 to each side

4x-5+5 = 15+5

4x= 20

Divide by 4

4x/4 = 20/4

x = 5

Answer:

x=5

Step-by-step explanation:

Multiply both sides of the equation by

4x-5/5=3

Move the constant to the right-hand side and change its sign

4x-5=15

Add the numbers

4x=5+15

divide the numbers

4x=20

answer

x=5

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2-3 + 4x²+x+4

= ..........

Step-by-step explanation:

is it like this ? no diagrams ?