Which of the following number line graphs shows the
solution set to the inequality |x-5| <-1?

Answer:

the original price of the cooker is £320 and David has been a deposit of 15% so find 15% of the original price and the deposit is £48

The amount of money that David paid as a deposit will be £48.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

David is going to buy a cooker. The cooker has a price of £320. David pays a deposit of 15% of the price of the cooker.

The amount of the deposit will be

Deposit amount = 15% of £320

Deposit amount = 0.15 x £320

Deposit amount = £48

The amount of money that David paid as a deposit will be £48.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

3

Step-by-step explanation:

Answer is the following

C) x = 0

Answer:

x=15

Step-by-step explanation:

x/3=10-5

x/3=5

x=5*3

x=15

Answer:

15

Step-by-step explanation:

x/3+5=10

(x/3)(3)=5(3)

x=15

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

Answer:

m=-9/7

Step-by-step explanation:

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

To learn more about confidence interval, click here https://brainly.com/question/15712887

#SPJ4

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

300000 in standard form is 3 x 10^5.

To convert a number to standard form, you need to express it as a number between 1 and 10 multiplied by a power of 10.

Here are the steps to convert a number to standard form:

1.Count the number of digits in the original number.

2.If the original number is greater than or equal to 10, then move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. This will be the power of 10 in the standard form.

3.If the original number is less than 1, then move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. This will be a negative power of 10 in the standard form.

4.Write the original number with the decimal point in its new position, and multiply it by 10 raised to the power determined in step 2 or step 3.

Answer:

standard form is used when numbers are very large or very small.

300000=3×10000

=3×104

this is now written in standard form

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

To learn more about Central Limit Theorem, refer:-

https://brainly.com/question/18403552

#SPJ11

Answer:

it should be 4 3/8 but sorry if it's wrong <3

Answer:

acute angle

Step-by-step explanation:

as it right angle have 90•

and acute angles are 180•.

Answer:

you have to be specific, i don´t understand the question

please rewrite the question

Answer

if your asking for the cost it's around $32,134?

The ratio 4:7 in the form n:1 is \(\frac{4}{7} : 1\) .

What is unit fraction?

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4, 1/5, etc.

According to the question

The ratio 4:7  in the form n:1

i.e

\(\frac{4}{7} = \frac{n}{1}\)

n = \(\frac{4}{7}\)

Now, the unit fraction

The ratio is

= \(\frac{4}{7} : 1\)

Hence, the ratio 4:7 in the form n:1 is \(\frac{4}{7} : 1\) .

To know more about unit fraction here:

https://brainly.com/question/15326565

#SPJ3

Answer:

31.25

Step-by-step explanation:

Answer:

31.25%

Step-by-step explanation:

We can write this as a fraction:

10/32

Now you divide it to get a decimal:

10 ÷ 32 = 0.3125

0.3125 = 31.25%

Hope this helps!

Answer:

7 : 1.

Step-by-step explanation:

1 - 7/8 = 1/8 is syrup.

So, water to syrup

= 7/8 : 1/8

= 7 :1.

The ratio of water to syrup is 7:1

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here, 7/8 of a can of drink is water, the rest is syrup thus the fraction for syrup is 1/8 of the can. Therefore the ratio of water and syrup is

7/8:1/8=7:1

Hence, The ratio of water to syrup is 7:1

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

The best method of variable calculation, whether qualitative or quantitative, depends on the specific context and the type of information being analyzed.

It is not appropriate to definitively label one method as universally better than the other as they serve different purposes and have their own strengths and limitations.

Qualitative methods involve subjective analysis and interpretation of non-numerical data, such as observations, interviews, or surveys. They are valuable when exploring complex phenomena, understanding human behavior, or capturing nuanced information that cannot be easily quantified. Qualitative methods provide rich, in-depth insights and can uncover underlying motivations, attitudes, and perceptions.

Quantitative methods, on the other hand, involve the measurement and analysis of numerical data using statistical techniques. They provide objective and measurable results, allowing for precise comparisons and generalizations. Quantitative methods are particularly useful for testing hypotheses, establishing trends, and making predictions based on large-scale data sets.

Both qualitative and quantitative methods have their merits and should be employed based on the research question, available resources, and the nature of the data. A comprehensive approach that integrates both methods can often provide a more comprehensive and robust understanding of the subject matter.

Learn more about variable here:

https://brainly.com/question/4009675

#SPJ11

Answer:

a is the right answer Congress passed the fair labor standards act to protect young workers

Answer:

35x+72y

Step-by-step explanation:

\((38x+61y)-(3x-11y)\\38x+61y-3x+11y\\35x+72y\\\)

Brainliest if it helped you!

Answer:

please see the picture above

Answer:

-3, -3, 1, 2, | 2, 8, 12, 14

Lower quartile is negative 1

Because the middle number is the median because there is an odd set of numbers.

To find the quartile you have to arrange the numbers from lowest to highest.

When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped

Answer:

5 eggs per hen

Step-by-step explanation:

Divide 65 and 13

Have a wonderful Day!

The closest that the family will come to the waterfall while on the road is 5.6 miles.

To solve this problem, we can use the law of cosines. Let x be the distance that the family travels from the point where the bearing is S71E to the point where the bearing is S35E, and let d be the distance from the family's starting point to the waterfall.
We have:
cos(71) = d/x
cos(35) = d/(x+8)
Multiplying both sides of the first equation by x and both sides of the second equation by (x+8), we get:
d = x cos(71)
d = (x+8) cos(35)
Setting the right-hand sides of these equations equal to each other and solving for x, we get:
x cos(71) = (x+8) cos(35)
x = 8 cos(35)/(cos(71)-cos(35))
Plugging this into the first equation above, we get:
d = x cos(71) = 8 cos(35) cos(71)/(cos(71)-cos(35))
This gives us the distance from the family's starting point to the waterfall. To find the closest distance that the family will come to the waterfall while on the road, we need to subtract the radius of the waterfall from this distance. Let's assume that the radius of the waterfall is 50 feet.
The closest distance that the family will come to the waterfall while on the road is:
d - 50 = 8 cos(35) cos(71)/(cos(71)-cos(35)) - 50
This is approximately equal to 5.6 miles. Therefore, the closest that the family will come to the waterfall while on the road is 5.6 miles.

Learn more about waterfall here

https://brainly.com/question/25757629

#SPJ11

We check our work by plugging our values for Xn and Xp into the equations Ux = 0 and Ux = c to verify that they are indeed solutions to the original system of equations.

(a) The statement "The complete solution to Ax = b is any linear combination of Xp and Xn" is false because the complete solution to Ax = b is the sum of the particular solution Xp and the nullspace solution Xn. It is not a linear combination of the two.

(b) The statement "The system Ax- b has at most one particular solution" is false because a system of linear equations can have multiple particular solutions. However, it will have at most one solution in the case where the system is consistent and the rank of the matrix A is equal to the rank of the augmented matrix [A | b].

(c) The statement "If A is invertible, there is no solution Xn in the nullspace" is false because the nullspace of a matrix is always non-empty and contains the zero vector, even if the matrix is invertible. However, the nullspace of an invertible matrix will only contain the zero vector.

To solve the system of equations represented by the augmented matrices U 0 and U c, we use Gauss-Jordan elimination to reduce them to row echelon form. This involves performing elementary row operations such as adding multiples of one row to another and multiplying a row by a scalar. The end result should be a matrix R in row echelon form.

Next, we solve the system Rx = 0 by setting the non-pivotal variables to be free and expressing the pivotal variables in terms of them. This will give us the nullspace solution Xn. Then, we solve Rx = d using back-substitution to obtain the particular solution Xp.

we check our work by plugging our values for Xn and Xp into the equations Ux = 0 and Ux = c to verify that they are indeed solutions to the original system of equations.
(a) The statement "The complete solution to Ax = b is any linear combination of Xp and Xn" is false because the complete solution is given by X = Xp + Xn, where Xp is a particular solution to Ax = b and Xn is a solution to the homogeneous system Ax = 0. It is not any linear combination of Xp and Xn, but rather the sum of a specific Xp and all possible solutions Xn.

(b) The statement "The system Ax - b has at most one particular solution" is false because it can have either one unique solution, infinitely many solutions, or no solution at all. The number of solutions depends on the properties of the matrix A and the vector b.

(c) The statement "If A is invertible, there is no solution Xn in the nullspace" is false because if A is invertible, the nullspace contains only the trivial solution (all zeros). In this case, the nullspace has one solution (Xn = 0), not zero solutions.

Regarding the Gauss-Jordan elimination problem:

1. Write down the augmented matrices U|0 and U|c.
2. Apply Gauss-Jordan elimination to reduce both matrices to row echelon form R|0 and R|D.
3. Solve the systems Rx = 0 and Rx = D using back substitution.
4. Check your work by plugging your solutions back into the equations Ux = 0 and Ux = c.

To know more about matrices. Click on the link.

https://brainly.com/question/11367104

#SPJ11

Answer:

a

Step-by-step explanation:

Antidisestablishmentarianism

Heres some info i learend

s but its not complete maybe i guess

Terms. We combine em by adding. The numbers or subtracting the numbers that are multiplied times the radicals.

The given function is

y is the population

t is the time since the year 2000

We need to find the population in the year 2012

To find t subtract 2000 from 2012

Substitute t by 12 in the function above

Round it to the nearest whole number

The population is about 16657 in the year 2012

c because the center of dilation is the multiplicatory value of the original point