Help me out with this question

The carpenter who bought 7 pieces of 2"x4"x 12' lumber paid a total cost of D. 1,960.00.

The total cost incurred by the carpenter can be determined using the mathematical operations of multiplication and division.

The number of pieces of 2"x4"x 12' lumber bought = 7

The cost per board foot = Php 35.00

The number of feet of the board bought = 56 feet (2 x 4 x 12 inches ÷ 12 x 7)

The total cost paid = Php 1,960.00 (Php 35.00 x 56)

Thus, we can conclude that the carpenter paid Php. 1,960.00.

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Answer:

Arithmetic

Step-by-step explanation:

The inequality \($uv^2 \leq (uv)^2$\) holds for any vectors u and v in \(R^2\). Equality holds when the vectors u and v are collinear or when one of them is the zero vector.

To prove the inequality \($uv^2 \leq (uv)^2$\), we can start by expressing the dot product of u and v in terms of their components. Let u = (\(u_1, u_2\)) and v = (\(v_1, v_2\)).

Then, the dot product of u and v is given by\(uv = u_1 v_1 + u_2 v_2\).

Now, consider the squared length of the projection of u onto v.

This can be calculated as \((uv)^2\) / \(||v||^2\), where ||v|| represents the length of vector v.

Since ||v||^2 = vv, we have \((uv)^2\) /\(||v||^2\) = \((uv)^2\) / (\($v \cdot v$\)).

On the other hand, the squared length of vector u can be expressed as \(u\cdot u = u1^2 + u2^2\).

Now, we can compare the two expressions: \(uv^2\) and \((uv)^2\) / (vv).

By substituting the expression for uv, we get \(uv^2\) = \((u_1 v_1 + u_2 v_2)^2\), and by substituting the expressions for \(||v||^2\) and uu, we get \((uv)^2\) / (vv) = (\(u_1^2 v_1^2 + u_2^2 v_2^2\)) / (\(v_1^2 + v_2^2\)).

It can be shown that \((u_1 v_1 + u_2 v_2)^2 \geq (u_1^2 v_1^2 + u_2^2 v_2^2)\) for any real numbers \(u_1, u_2, v_1, v_2\). Therefore, \(uv^2\) ≤ \((uv)^2\) / \((vv)\), which implies \(uv^2\) ≤ \((uv)^2\).

Equality holds in the inequality \($uv^2 \leq (uv)^2$\) when the vectors u and v are collinear or when one of them is the zero vector.

Geometrically, this inequality represents the fact that the squared length of the projection of vector u onto vector v is always less than or equal to the squared length of the projection of u onto v.

When the vectors are collinear, their projections coincide and the inequality becomes an equality. Similarly, when one of the vectors is the zero vector, its projection onto any other vector is zero, resulting in equality as well.

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Answer:

B. is false

Step-by-step explanation:

Hope this helped!!!

Answer: allways increasing

Step-by-step explanation:

the graph line has arrows on the ends and it looks like it will always be going up

Answer:

3rd one thank you let me know if u got it rigbt

Answer:

the top one

Step-by-step explanation:

it has the least number

Answer:

A

Step-by-step explanation: i got it right

Answer:

35

Step-by-step explanation:

19+19.50=38.5

38.5×7=269.5

269.5÷7.70=35

Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

Answer:

hi friends how are you all about you my friend

Answer:

-2

Step-by-step explanation:

y^3=-8.

y=cube root of -8 = -2

Answer:

300 miles

Step-by-step explanation:

Since 2 hours multiplied by 3 equals 6 hours, you need to multiply 100 miles by 3. The answer is 300 miles

Answer:

If Keisha drives about 100 miles in 2 hours, then Keisha will drive \(\boxed{\bf\:300}\) miles in 6 hours.

Step-by-step explanation:

Given,

Then,

Miles driven by Keisha in 1 hour:

= Miles driven in 2 hours / 2

= 100/2

= 50 miles

If she goes at this rate,

Miles driven by Keisha in 6 hours:

= Miles driven in 1 hour × 6

= 50 × 6

= 300 miles

\(\rule{150}{2}\)

Answer:

y = (1/5)x + 2

Step-by-step explanation:

X = 5y-10

5y = x + 10

y = (1/5)x + 2

The Domain of the Function is {-2, -1, 0,1 ,2, 3, 4, 5} and the Range of the Function is {4, 3, 2, 1, 0, -1}

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

We neeed to find the Domain and Range of the Function

Domain refers to all the values of x = {-2, -1, 0,1 ,2, 3, 4, 5}

Range refers to all the values of y = {4, 3, 2, 1, 0, -1}

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Answer:

6 times 6 times 6 times 6

The bar formation of 0.733333 is 0.7\(\bar{3}\).

The bar formation of  0.424242 is 0.\(\overline{42}\).

The bar formation of  0.12121212 is 0.\(\overline{12}\).

What is a repeating decimal?

A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.

If the decimal form of a number repeating decimal form then it is a rational number.

Given numbers are 0.733333, 0.424242, 0. 12121212.

The repeating number of  0.733333 is 3.

Thus it can be written as 0.7\(\bar{3}\).

The repeating numbers of 0.424242 are 42

Thus it can be written as  0.\(\overline{42}\).

The repeating numbers of 0.12121212 are 1 and 2

Thus it can be written as 0.\(\overline{12}\).

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The correct answer is choice (d) "much fewer than."

In this question, we are comparing the number of reports. The phrase "41 of 44 report" indicates that out of a total of 44 reports, only 41 reports meet a certain criteria.

When we compare numbers, we use the phrase "fewer than" to indicate a smaller quantity. Since 41 is smaller than 44, we can conclude that the correct term to use is "much fewer than."

Therefore, the correct answer is choice (d) "much fewer than."

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The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':\(\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }\) We can simplify this by substituting the values for the xi:

 SD' =\(\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }\)  Now let's consider the original data set A and its standard deviation SD:

 SD =\(\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }\) ,We can substitute the values for xi in this formula as well:  

SD= \(\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}\)  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

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Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number and 8"

Answer:

x=10.5

Step-by-step explanation:

x will be a number

2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.

Solving

2(x-8)=5

2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16

2x=16+5--> add 16 to other side of x

2x=21--> add like terms

2x / 2 =21 / 2--> single out x

x=10.5 --> 21/2 --> just divide

Answer:

x is -3

Once the expression has equal bases, it is a bit easier

Answer:

x = -2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2/3(x - 2) = 4x

Step 2: Solve for x

We start with 2/3(x

−

2) = 4r

Distributing the LHS: 2/3x - 4/3 = 4x

subtracting 2/3x from both sides: -4/3 = 10/3x

Multiplying both sides by  3: -4 = 10x

Dividing both sides by  10

: -4/10 = 10x

Then we come up with -2/5.

I think it's the answer anyway:/

Hope it helps.

Answer: The probability of the spinner stopping at a green section and then rolling a 3 is 1/22

Step-by-step explanation: A spinner stopping at a green section

B: rolling a 3

the spinner is divided into 11 parts, 3 of them are green, then:

P(A) = 3/11

the number cube has 6 numbers, then:

P(B) = 1/6

The two events are independent, then:

P(A∩B) = P(A)*P(B) = 3/11 * 1/6 = 1/22

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

13

Step-by-step explanation:

collect like terms and divide both sides by 5.5

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

Perpendicular = 6 meter (Approx.)

Length of fence required = 18.81 meter

Step-by-step explanation:

Given:

One side of triangle = 5 m

Angle with side and hypotenuse = 50°

Find:

Other sides

Length of fence required

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

For 50° angle , 5 m is base

Tan 50 = Perpendicular / 5

1.1917 = Perpendicular / 5

Perpendicular = 5.9585

Perpendicular = 6 meter (Approx.)

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √6² + 5²

Hypotenuse = √36 + 25

Hypotenuse = √61

Hypotenuse = 7.81 meter (Approx.)

Length of fence required = 5 + 6 + 7.81

Length of fence required = 18.81 meter