What is the value of 16.43 – 1.043

Pls show the work of how you did it

Answer:

Step-by-step explanation:

margin of error

Answer: 45

Step-by-step explanation:

0.04w+0.6=2.4

Step 1: Subtract 0.6 from both sides.

0.04w+0.6−0.6=2.4−0.6

0.04w=1.8

w=45

Answer:

Step-by-step explanation:

What is the value of w in the equation

0.04w + 0.6= 2.4?

0.04w + 0.6 = 2.4

0.04w = 2.4 - 0.6

0.04w = 1.8

w = 1.8 : 0.04

-----------------------------

check

0.04 × 45 + 0.6 = 2.4

1.8 + 0.6 = 2.4

2.4 = 2.4

Answer:

$102.72

Step-by-step explanation:

If the mp3 player typically costs $120 and was on sale for 20% off, then the sale price would be 120 * (1 - 0.2) = $96.

If Siddhu had to pay 7% sales tax on the sale price, then the total tax he paid would be 96 * 0.07 = $6.72.

Therefore, Siddhu paid a total of 96 + 6.72 = $102.72 for the mp3 player when it was on sale with the sales tax included.

A vector space is a set of mathematical objects called vectors. In a vector space, there are two operations, namely vector addition and scalar multiplication, and the set of vectors must satisfy ten axioms.

To prove that vector space axioms 1 and 7 holds for all vectors in R³, we need to first understand what the two axioms entail. Axiom 1 states that the sum of any two vectors in the set must also be in the set. Axiom 7 states that for any scalar c and vectors u and v, c(u + v) = cu + cv

Given that we are considering the set R³ with standard addition and scalar multiplication, let u and v be two arbitrary vectors in R³. Then, u = (u₁, u₂, u₃) and v = (v₁, v₂, v₃).

To show that Axiom 1 holds for u and v, we need to show that u + v is also in R³. By definition of vector addition,

u + v = (u₁ + v₁, u₂ + v₂, u₃ + v₃).

Since u and v are in R³, it follows that u₁, u₂, u₃, v₁, v₂, v₃ are real numbers.

Therefore, u₁ + v₁, u₂ + v₂, u₃ + v₃ are also real numbers, and hence, u + v is also in R³.

Thus, Axiom 1 holds for all vectors in R³.

Next, let c be a scalar and let u and v be two vectors in R³. Then,

c(u + v) = c(u₁ + v₁, u₂ + v₂, u₃ + v₃) = (cu₁ + cv₁, cu₂ + cv₂, cu₃ + cv₃) by definition of scalar multiplication and vector addition.

Also, cu + cv = c(u₁, u₂, u₃) + c(v₁, v₂, v₃) = (cu₁, cu₂, cu₃) + (cv₁, cv₂, cv₃) by definition of scalar multiplication.

The sum of the two vectors is (cu₁ + cv₁, cu₂ + cv₂, cu₃ + cv₃), which is equal to c(u + v).

Therefore, Axiom 7 holds for all vectors in R³. Thus, we have shown that Axioms 1 and 7 hold for all vectors in R³.

In conclusion, we have shown that vector space axioms 1 and 7 hold for all vectors in R³. Axiom 1 holds because the sum of any two vectors in R³ is also in R³. Axiom 7 holds because scalar multiplication is distributive over vector addition. These results demonstrate that R³ is a vector space.

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The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.

the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.

Steps to plot graph of quadratic function.

a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.

\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).

This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).

So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

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Answer:

y = 5/21

Step-by-step explanation:

The solution can be found by solving the equation given.

3

y

−

8

12

=

y

5

3

y

+

y

5

=

2

3

15

y

+

y

5

=

2

3

16

y

5

=

2

3

y

=

2

3

∗

5

16

y

=

5

21

Answer:

What is the law of large numbers? 

In probability theory, the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times. 

What does it tell us about samples as they get larger and approach infinity?

As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).

Hope this helps :)

Pls brainliest...

Answer:

a = -2

Step-by-step explanation:

7a + 10 = 2a​

subtract 2a from both sides

5a + 10 = 0

subtract 10 from both sides

5a = -10

divide both sides by 5

a = -2

hope this helps

The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

32% goes to 30%. 22% goes to 20%. 74% goes to 70%. 51% goes to 1/2.

Step-by-step explanation:

Just treat is as rounding. When you round, 32 goes to 30 because the 2 is 4 or less. 22 and 74 each respectively round to 20 and 70. 1/2 is equal to 50%. And 51% rounds to 50%, or 1/2.

The correct value of the percent on the left with the appropriate estimate on the right is,

32% - 30%

22% - 20%

74% - 70%

51% - 1/2

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

To match the percent on the left with the appropriate estimate on the right.

Now, We can simplify as;

32% = 0.32

22% = 0.22

74% = 0.74

51% = 0.51

20% = 0.20

70% = 0.70

1/2 = 0.5

30% = 0.3

Thus, The correct value of the percent on the left with the appropriate estimate on the right is,

32% - 30%

22% - 20%

74% - 70%

51% - 1/2

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Answer:

(4+√142)/(3) or x=(4-√142) /3

Step-by-step explanation:

(4+√142)/(3) or x=4-√142 /3

For a square with coordinates points ( -1,4) and (2,-3) of adjacent vertices, the area of square is equals to the fifty-eight square units.

A square is one of a two-dimensional closed shape includes 4 equal sides and 4 vertices. The area of a square is equal to multiplcation of side of square with itself, i.e., (side) × (side) square units. We have coordinates for an adjacent vertices of a square. That are ( -1,4) and (2,-3). We have to determine the area of square. First we have to determine the length side of square from coordinates. Distance formula,\(d = \sqrt{(x_2- x_1)²+(y_2 - y_1)²}\), where

Using the distance formula, distance between the two points, i.e., ( -1,4) and (2,-3), \(d = \sqrt{ (2-(-1))² + (-3 -4)²}\)

\(= \sqrt{ 9 + 49}\)

\(= \sqrt{ 58}\)

Since these points are the endpoints of one side of the square, so side of square, s = \(\sqrt{ 58}\) units

Using the formula of area of square, the required area = \(s² = ( \sqrt{ 58})²\)

= 58 square units

Hence, required value is 58 square units.

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Each person, including you and your 4 brothers, will receive 1.2 liters of paint.

The equation that describes how many liters of paint each of you will receive can be written as:

Total liters of paint / Number of people = Liters of paint per person

In this case, you have 6 liters of paint to share among you and your 4 brothers.

Therefore, the equation would be:

6 liters / 5 people = Liters of paint per person

Simplifying the equation, we get:

1.2 liters/person

So, each person, including you and your 4 brothers, will receive 1.2 liters of paint.

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The secret phrase include the following: C. THE CORN IS YUMMY.

Based on the information provided above, we can logically deduce that the square matrix A represent the encoder.

Assuming the matrix X represent the secret phrase and the matrix B represent the encoded text, the relationship between the three matrices can be modeled by the following equation:

AX = B

X = A⁻¹B

Next, we would multiply the inverse matrix A⁻¹ by matrix B as follows;

\(X=\left[\begin{array}{ccc}-2&5\\1&-2\end{array}\right] \times \left[\begin{array}{ccccccc}85&111&135&111&95&101&153\\38&46&55&45&41&44&64\end{array}\right]\\\\\\X=\left[\begin{array}{ccccccc}20&8&5&3&15&18&14\\9&19&25&21&13&13&25\end{array}\right]\)

By converting the numbers in matrix X to alphabet, we have:

T = 20    I = 9

H = 8      S = 14

E = 5      Y = 25

C = 3      U = 21

O = 15     M = 13

R = 18     M = 13

N = 14     Y = 25

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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Answer:

L=923.6 cm2 ; S =1231.5 cm2

Explanation:

L=2πR

L=14π

2πR=14π

R=14π/2π=7 - the radius

h=3R=3*7=21 -the height

S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area

S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=

     =392π≈1231,5 -the surface area

=====================================================

Work Shown:

|4x| + 1 = 25

|4x| = 25-1

|4x| = 24

4x = 24 or 4x = -24

x = 24/4 or x = -24/4

x = 6 or x = -6

------------------

Check:

Let's plug x = 6 into the original equation and simplify both sides.

|4x| + 1 = 25

|4*6| + 1 = 25

|24| + 1 = 25

24 + 1 = 25

25 = 25

This confirms x = 6 is a solution.

The steps for x = -6 will be very similar.

The expected difference under null hypothesis can be understood by the following :

The required null and alternate hypothesis will be

Null hypothesis :  H0 : μ=μ0

Alternate Hypothesis: H1 : μ<μ0

To determine whether there is a difference in the means of two populations, the z test formula compares the z statistic to the z critical value.

The z critical value in hypothesis testing divides the distribution graph into acceptance and rejection regions. The null hypothesis can be rejected if the test statistic falls within the rejection region; otherwise, it cannot be rejected.

The z test formula  to set up the required hypothesis tests for a one sample and a two-sample z test is

z = (( x−μ) /σ/√n  )x

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Answer:

this is a nonlinear function

Step-by-step explanation:

a linear function is when the y value increases the same amount every time the x value increases by 1(or any constant interval). in this problem when x increases 1, they y value increases by 2 for the first 3 sets of numbers, but in the 4th set of numbers the x value increases by 1 and the y value increases by 2. This does not follow the same pattern and therefore makes this nonlinear. A quicker way to figure this out when you have a graph like this is to draw a line through all the points in order of increasing x values or vice versa if the line you drew is straight all the way through then it is linear and if it isn't then it is nonlinear. I hope this helped.

The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer:

The friend is correct.

Step-by-step explanation:

\(\frac{35}{100} =\frac{x}{20}\)

cross multiply:

700 = 100x

700/100 = 100x/100

7 = x

Your friend is correct. The method they used to solve is also a valid way of solving.

hope this helps!

Answer:

1/64

Step-by-step explanation:

\( \frac{ {8}^{2} }{ {8}^{4} } = \frac{1}{ {8}^{4 - 2} } = \frac{1}{ {8}^{2} } = \frac{1}{64} \\ \)

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

the answer is x equal to 18

Answer:

the first term is 8 and common difference d is -4.

Step-by-step explanation:

We are given nth term of an arithmetic sequence is: aₙ=12-4n

We need to find first term and common difference of given arithmetic sequence

First term can be found by  putting n=1:

\(a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8\)

So, first term is a₁= 8

Now to find common difference we need to find second term

Second term can be found by putting n=2

\(a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4\)

So, second term is: 4

The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4