An electrician needs 6 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/4 of a roll of wire?

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

The Probability that will pick a red tile from the bag

\(P(E) = \frac{6}{11}\) = 0.545

Step-by-step explanation:

Explanation:-

Given data 4 blue tiles, 12 red tiles, and 6 green tiles in a bag

Total = 4 B + 12 R + 6 G = 22 tiles

Total number of exhaustive cases

         n (S) = \(22 C_{1} = 22 ways\)

The Probability that will pick a red tile from the bag

\(P(E) = \frac{n(E)}{n(S)} = \frac{12 C_{1} }{22 C_{1} } = \frac{12}{22}\)

\(P(E) = \frac{6}{11}\)

P(E) = 0.545

Final answer:-

The Probability that will pick a red tile from the bag = 0.545

Answer:

carnation $2.50; rose $3.00

Step-by-step explanation:

Let c = price of 1 carnation.

Let r = price of 1 rose.

3c + 5r = 22.5

3c + 2r = 13.50

Subtract the se3cond equation from the first equation.

3r = 9

r = 3

Now substitute r = 3 in the first equation and solve for c.

3c + 5r = 22.5

3c + 5(3) = 22.5

3c = 7.5

c = 2.5

Answer: carnation $2.50; rose $3.00

Answer:

TRUE graph must be a straight line and go through the point (0,0)

Step-by-step explanation:

Have a good day :)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

Kindly see explanation

Step-by-step explanation:

Given the data:

JOB satisfaction (x) : 1, 2, 3, 4, 5

IS Senior ; p(x) : 0.05, 0.09, 0.03, 0.42, 0.41

IS Middle ; p(x) : 0.04, 0.10, 0.12, 0.46, 0.28

Expected value of job satisfaction for senior executives :

E(x) = Σp(x) * x = [(1*0.05) + (2*0.09) + (3*0.03) + (4*0.42) + (5*0.41)]

= 4.05

B) Σp(x) * x = [(1*0.04) + (2*0.10) + (3*0.12) + (4*0.46) + (5*0.28)]

= 3.84

C.) Job variance for executives:

Σ(x - E(x))² * p(x) :

((1 - 4.05)^2 * 0.05) + ((2 - 4.05)^2 * 0.09) + ((3 - 4.05)^2 * 0.03) + ((4 - 4.05)^2 * 0.42) + ((5 - 4.05)^2 * 0.41)

= 1.2475 = 1.25 ( using calculator)

job variance for middle managers :

Σ(x - E(x))² * p(x) :

((1 - 3.84)^2 * 0.04) + ((2 - 3.84)^2 * 0.10) + ((3 - 3.84)^2 * 0.12) + ((4 - 3.84)^2 * 0.46) + ((5 - 3.84)^2 * 0.28)

= 1.1344 = 1.13 (using calculator)

Standard deviation(sd) for (senior managers) :

sd = √variance

sd = √1.25 = 1.118 = 1.12

Standard deviation(sd) for (middle managers) :

sd = √variance

sd = √1.13 = 1.063 = 1.06

The expected value (mean) for senior executives (4.05) is slightly higher Than obtained for middle managers (3.84). Similarly the measure of Variation in job satisfaction ; standard deviation and variance is also higher for senior managers than in middle managers.

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

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According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

Answer:

\( \boxed{ \bold{ \boxed{ \sf{18}}}}\)

Step-by-step explanation:

If the values of variables of algebraic expressions are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

Given, a = 12 and b = 6

\( \sf{a + b}\)

plug the values

⇒\( \sf{12 + 6}\)

Add the numbers

⇒\( \sf{18}\)

Hope I helped!

Best regards!!

Answer:

-0.4

Step-by-step explanation:

-2 divided by 5

Answer:

-4/10

Step-by-step explanation:

There are many more this is one of them.

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

From the image given, the dinning room table is a rectangle.

Given:

Length in inches = 90 inches

Width in inches = 45 inches

The scale of the length is 3 centimeters.

Now, let's find the scale of the table:

This means that 30 inches represents 1 centimeter.

Also, let's find the width in centimeters:

Thus, we have:

Length of scale drawing = 3 cm

Width of scale = 1.5 cm

To find the Area of the scale drawing, use the area of a rectangle:

A = Length x Width

Therefore, the length of the scale drwing is = 4.5 cm²

ANSWER:

Radius of base=19.05/2=9.525

Volume

Answer:

9

Step-by-step explanation:

7x-5+2x-1=9x-6

d/dx (9x-6)=9

Answer:

A. \(\frac{24}{25}\)

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Answer:

It's 1

Step-by-step explanation:

any number or expression divided by itself is 1

Answer:

1

Step-by-step explanation:

The expression (x + 4) / (4 + x) simplifies to 1 because no matter what value you choose for x, when you add 4 to it and add the same value to 4, you always get the same result in the numerator and denominator, making them cancel out and equal to 1.

The simplest form of the expression given in the task content is; 5.5x +7.42.

The expression given in the task content is;

5.5(x+6 1/2)-(x+9 1/3) - (19-x)

Hence, the expression can be written in its simplest form as follows;

5.5x + 35.75 -x -9.33 -19 +x

= 5.5x +7.42.

Remarks: The complete task requires that the expression be written in its simplest form.

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Answer:

2&4+44-24÷333×6385

Step-by-step explanation:

so it can be a cardinal product

If functions  f(5x)=f(5)+f(x) then f(1)=0.

A relation is a function if it has only One y-value for each x-value.

Given that f(5x)=f(5)+f(x)

f of five times of x equal to f of five plus f of x.

We need to prove f(1) is equal to zero.

f(5x)=f(5)+f(x)

Let plug in x value as one

f(5×1)=f(5)+f(1)

f(5)=f(5)+f(1)

Subtract f(5) from both sides

f(1)=0

Hence, if functions  f(5x)=f(5)+f(x) then f(1)=0.

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Answer:

Step-by-step explanation:

You've left out some information!

If AB and CD have the same slope, they are parallel.

If the product of the slopes of AB and CD is -1, they are perpendicular.

The correct option is (b) i.e. area of rectangle is \(x^{3} y^{4}\).

What is rectangle?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. the two sides come together at a straight angle  at each corner ,The rectangle differs from a square because its two opposite sides are of equal length.

Given : width of rectangle : xy

            length of rectangle : \(x^{2} y^{3}\)

we know that,  area of rectangle = length × breadth

                                                      =  x²y³ × xy

Now, adding power of terms which has same base.    

we get, \(x^{3} y^{4}\)                                                                

so, the correct option is (b).

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

b

Step-by-step explanation:

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

Answer:

C. Applying for several lines of credit in a short period of time can help boost a person's credit score.

Answer:

C. Applying for several lines of credit in a short period of

time can help boost a person's credit

Step-by-step explanation:

i took the k12 qwis pls give branliist

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4