A contractor measures a rectangular bathroom that is 5 feet wide by 8 feet long. if the contractor draws a blueprint of the bathroom, where each foot is equivalent to 1/2 inch, which two statements are true?

Answer:

y = 5x - 3, so M = 5 and C = -3.

Answer:

y = -4x + 7

Step-by-step explanation:

As we can see, we want to write the equation of the line

we have this as;

y = -4x + b

To get the y-intercept, we use the values in the point given

we substitute x = 9 and y = -29

So we have;

-29 = -4(9) + b

-29 = -36 + b

b = 36-29

b = 7

So the equation is;

y = -4x + 7

Answer:

C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.

Step-by-step explanation:

Edge 2021

Answer:

any real number except 5

any real number

Step-by-step explanation:

your welcome

The correct answer is:

⇒ Any real number for x except 5, and any real number for y.

A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.  This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.

Now, For given function is,

This means that 5 cannot be used for x in the other ordered pair.

Since there is no restriction on y in order to be a function, y can be any real number.

Thus, The correct answer is:

⇒ Any real number for x except 5, and any real number for y.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

Answer: scalene, right

Step-by-step explanation:

None of the side lengths of the triangle are equal, so the triangle is scalene.

This triangle also has a right angle, so it is a right triangle.

Answer:

D. And E.

Step-by-step explanation:

It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.

By calculation, your grade in the class now is 78.7

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

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

Read more about percentage at

https://brainly.com/question/843074

#SPJ1

The coordinate vector [x]B of the vector x relative to the given basis B is [-2] [2] that is option C.

To find the coordinate vector [x]B of the vector x relative to the basis B, we need to express x as a linear combination of the basis vectors b1 and b2.

Given:

b1 = [5]

[-1]

b2 = [-11]

[1]

x = [-6]

[-19]

To find the coefficients of the linear combination, we solve the system of equations:

x = c1 * b1 + c2 * b2

where c1 and c2 are the coefficients.

Substituting the given values, we have:

[-6]

[-19] = c1 * [5] + c2 * [-11]

[4]

Solving this system of equations, we find that c1 = -2 and c2 = 2.

Therefore, the coordinate vector [x]B of the vector x relative to the basis B is:

[x]B = [-2]

[2]

To know more about vector,

https://brainly.com/question/31427002

#SPJ11

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

Answer:

answer SHOULD be 3 sandwiches

Step-by-step explanation:

33-6=27÷9=3

Answer:

9x + 6 = 33; 3

Step-by-step explanation:

9x + 6 represents the number of sandwiches and gallon of milk Tito purchased. 33 represents the total cost of the sandwiches and milk. Using this equation, we can solve to find x (the number of sandwiches purchased). Therefore, x = 3.

If the equation be 3e-2/4+30-4e/3=6 then the value of e be -14.1.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. In mathematics, a numerical expression is a mixture of numbers and integers combined using addition, subtraction, multiplication, or division.

Let the given equation be \($3 e-\frac{2}{4}+30-4 \cdot \frac{e}{3}=6$$\)

Subtract \($-\frac{2}{4}+30$\) from both sides

\($3 e-\frac{2}{4}+30-4 \cdot \frac{e}{3}-\left(-\frac{2}{4}+30\right)=6-\left(-\frac{2}{4}+30\right)$$\)

Simplifying the above equation, we get

\($3 e-4 \cdot \frac{e}{3}=-\frac{47}{2}$$\)

Expand \($3 e-4 \cdot \frac{e}{3}= \frac{5 e}{3}$\)

\($\frac{5 e}{3}=-\frac{47}{2}$$\)

Multiply both sides by 3, then

\($\frac{5 e}{3} \cdot 3=-\frac{47}{2} \cdot 3$$\)

Simplifying the above equation, we get

\($5 e=-\frac{141}{2}$$\)

Divide both sides by 5

\($\frac{5 e}{5}=\frac{-\frac{141}{2}}{5}$$\)

Simplifying the above equation, we get

\($e=-\frac{141}{10}$$\)

e = -14.1

Therefore, the value of e be -14.1.

To learn more about expressions refer to:

brainly.com/question/1859113

#SPJ1

The quotient of the given fractions is -2/5. Therefore, option B is the correct answer.

The given numbers are -4/5 and 2.

We need to find the quotient of given numbers.

Quotient, in mathematics, can be defined as the result of the division of a number by any divisor. It is the number of times the divisor is contained in the dividend.

Now, 4/5 ÷ 2 can be simplified as follows:

-4/5 ÷ 2/1

To divide a fraction keep the first fraction as it is, change the division sign to the multiplication sign, and flip the second fraction to its reciprocal.

That is, -4/5 × 1/2

=-4/10

=-2/5

The quotient of the given fractions is -2/5. Therefore, option B is the correct answer.

To learn more about the quotient visit:

https://brainly.com/question/16134410.

#SPJ1

Answer: The answer would be $15.50 per basketball

Step-by-step explanation:

If mike bought 4 basketball for 62 dollars you have to divide 62 and 4. Which equals 15.5 so in dollars it would be 15 dollars and 50 cents or $15.50.

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

To learn more about thickness click here: brainly.com/question/23622259

#SPJ11

Answer:

next time answer my Question instead of saying you just need points

Step-by-step explanation:

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

Learn more about the function at

https://brainly.com/question/32520165

#SPJ11

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

Answer:

48.75$

Step-by-step explanation:

Since the original price is 65$ and you are getting 25% off, you would now be paying 75% of the original price.

65*75%=48.75

_______________________________________________________

You could also take the amount of discount you're getting...

65*25%

and then subtract the amount of discount your getting from the original price

65-(65*25%) = 48.75

68 % percentage of normally distributed scores lie between 1 standard deviation below the mean and 2% percentage of normally distributed scores lie between 1 standard deviation above the mean

Given that,

34%,- 14%,- 2% approximations of area under the normal curve

P( 1 standard deviation below the mean and I

standard deviation above the mean )

P ( - 1 < z < 1)

=34% +34% = 68%

2) P (Between I standard and 3 standard deviation below the mean)

P ( - 2 and - 3 ) = 1 ( - 2 <2 < - 3 )

= 2%

1 standard deviation below the mean is where 68% of normally distributed scores fall, while 1 standard deviation above the mean is where 2% of normally distributed scores fall.

To learn more about standard deviation click here:

brainly.com/question/23986929

#SPJ4

The probability that a selected individual's height will be less than 45 inches is approximately 0.0228.

We can use the normal distribution to find the probability that a selected individual's height will be less than 45 inches. We'll need to first calculate the z-score for a height of 45 inches, and then use a standard normal distribution table or calculator to find the corresponding probability.

The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the height we're interested in, μ is the population mean (given as 53 inches), and σ is the population standard deviation (given as 4 inches).

Plugging in the values, we get:

z = (45 - 53) / 4 = -2

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score less than -2. Using a table, we find that the probability is approximately 0.0228.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Answer:

Step-by-step explanation:

12/3= 4 which is 1/3 of  the package of 12

The standard-deviation for the number of seeds germinating in each batch is approximately 2.049. This means that, on average, we can expect the number of germinating seeds in each batch to be around 2.049 away from the mean.

QUESTION 7: The standard deviation for the number of seeds germinating in each batch can be calculated using the formula for the standard deviation of a binomial distribution.

In this case, the probability of germination is 0.7, and the number of trials is 20 (the number of seeds planted in each batch).

The formula for the standard deviation of a binomial distribution is given by:

Standard Deviation = sqrt(n * p * (1 - p))

where n is the number of trials and p is the probability of success.

Plugging in the values, we have:

Standard Deviation = sqrt(20 * 0.7 * (1 - 0.7))

                 = sqrt(20 * 0.7 * 0.3)

                 = sqrt(4.2)

Calculating the square root of 4.2, we get:

Standard Deviation ≈ 2.049

Therefore, the standard deviation for the number of seeds germinating in each batch is approximately 2.049.

QUESTION 8: To find the probability of at least 1 girl in 7 births, we can use the binomial distribution formula with the probability of success (having a girl) equal to 0.5 (assuming male and female births are equally likely) and the number of trials (births) equal to 7.

The probability of at least 1 girl can be calculated by subtracting the probability of 0 girls from the total probability of all outcomes. The probability of 0 girls (all boys) is given by the binomial probability formula as follows:

P(0 girls) = (7 choose 0) * (0.5)^0 * (0.5)^(7-0)

Using the binomial coefficient (7 choose 0) = 1, the probability of 0 girls is:

P(0 girls) = 1 * 1 * 0.5^7 = 0.0078125

To find the probability of at least 1 girl, we subtract the probability of 0 girls from 1:

P(at least 1 girl) = 1 - P(0 girls)

                  = 1 - 0.0078125

                  ≈ 0.9922

Therefore, the probability of at least 1 girl in 7 births is approximately 0.9922.

The probability of at least 1 girl in 7 births is approximately 0.9922, which indicates a high likelihood of having at least one girl in a set of seven births when male and female births are equally likely and independent events.

To know more about Standard deviations, visit

https://brainly.com/question/475676

#SPJ11

Answer:

cotθ = \(\frac{4}{3}\)

Step-by-step explanation:

Using the trigonometric identity

cot x = \(\frac{cosx}{sinx}\), then

cotθ = \(\frac{-0.8}{-0.6}\) = \(\frac{8}{6}\) = \(\frac{4}{3}\)

1.

a. 8 x 7 x 1/2 = 56 x 1/2 = 28

b. 24 x 14 x 1/2 = 336 x 1/2 = 168

c. 5 x 12 x 1/2 = 60 x 1/2 = 30

d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6

2.

two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32

rectangle: 15 x 8 = 120

total area: 32 + 120 = 152

The probability that Carol won her video game, given that the group did not win an MP3 player, is 0.0769.

To find the probability that Carol won her video game, we need to use conditional probability. Let's denote the events as follows: A = Alice wins, B = Bob wins, C = Carol wins, and R = the group wins the raffle.

We know that the probability of Alice winning (P(A)) is 0.75, Bob winning (P(B)) is 0.5, and Carol winning (P(C)) is 0.25. The probability of the group winning the raffle (P(R)) is 1/3.

We need to calculate P(C|R'), where R' represents the event that the group did not win the MP3 player.

To calculate this probability, we can use Bayes' theorem:

P(C|R') = P(C ∩ R') / P(R')

We can calculate the numerator using the multiplication rule:

P(C ∩ R') = P(C) * P(R' | C)

P(R' | C) represents the probability of not winning the MP3 player given that Carol won her video game. Since winning the raffle is independent of winning the game, the probability of not winning the MP3 player given that Carol won is 1 - P(R | C) = 1 - 1/3 = 2/3.

Substituting the values into the equation:

P(C ∩ R') = 0.25 * (2/3) = 0.1667

Next, we need to calculate the denominator, P(R'). To calculate this probability, we can use the law of total probability:

\(P(R') = P(R' | A) * P(A) + P(R' | B) * P(B) + P(R' | C) * P(C)\)

Since the group wins the raffle if at least one person wins their game, we have:

P(R' | A) = P(R' | B) = 0, and P(R' | C) = 1 - P(R | C) = 1 - 1/3 = 2/3.

Substituting the values into the equation:

P(R') = 0 * 0.75 + 0 * 0.5 + (2/3) * 0.25 = 0.1667

Now we can calculate the conditional probability:

P(C|R') = P(C ∩ R') / P(R') = 0.1667 / 0.1667 = 0.0769

Therefore, the probability that Carol won her video game, given that the group did not win an MP3 player, is 0.0769.

Learn more about Probability

brainly.com/question/31828911

#SPJ11

Answer:

it equals to one note

Step-by-step explanation:

1/2+2/4=1

Answer:

it would be 69 bhejejejirirooddsskkskskakakakzkzjajbhshdhdjdjeiejeie

The required of temperature in Fahrenheit is 20 degrees Fahrenheit.

160 degrees Celsius is equivalent to 320 degrees Fahrenheit. To convert Celsius to Fahrenheit, use the formula: F = (C * 9/5) + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius.

In this case, substituting 160 for C in the formula yields:

F = (160 * 9/5) + 32 = 320. So, 160 degrees Celsius is equal to 320 degrees Fahrenheit.

It's important to note that the Fahrenheit scale is used mainly in the United States,

while the Celsius scale is used in most other countries and is the standard for scientific use.

To know more about Celsius and Fahrenheit visit :

brainly.com/question/18800757

#SPJ4

The sample space for rolling a six-sided number cube is \({1, 2, 3, 4, 5, 6}\)}, representing the six possible outcomes of the experiment.

The sample space for the experiment of rolling a six-sided number cube consists of all the possible outcomes or numbers that can be obtained when the cube is rolled. Since a standard six-sided cube has six faces, each numbered from 1 to 6, the sample space can be represented as     \({1, 2, 3, 4, 5, 6}\)}.

In this case, the sample space is a set containing the individual numbers 1, 2, 3, 4, 5, and 6, which represent the possible outcomes of rolling the cube. Each number in the sample space corresponds to a face of the cube, and when the cube is rolled, one of these numbers will be the result.

It's important to note that each outcome in the sample space is equally likely, assuming the cube is fair and unbiased. Therefore, the probability of obtaining any particular outcome is 1 out of 6 or approximately 0.1667.

For more such questions on sample space.

https://brainly.com/question/29004243

#SPJ8

To find the area of the trapezoid we need to find the height of the trapezoid.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = \( \frac{1}{2} \times ck \times (ad + bc)\)

Area ABCD = \( \frac{1}{2} \times 6 \times (10 + 8)\)

Area ABCD = \( \frac{1}{2} \times 6 \times (18)\)

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².

Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.

Here,

1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.

1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.

M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)

5 years + 60 months Equals n

r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)

P = $100,000

=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)

≈> $1,870.24

As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.

1.3

(Total Amount Borrowed - Amount Paid) / 2

=>  ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.

Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1