. a survey of first-time home buyers found that the sample mean annual income was $51,000. assume that the survey used a sample of 28 first-time home buyers and that the sample standard deviation was $1,200. compute and explain a 95% confidence interval estimate of the population mean.

The value of the inequality u - 9.7 < -8.8 is u < 0.9.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Here, the inequality is given as:

u - 9.7 < -8.8

Collect like terms

u < -8.8 + 9.7

u < 0.9

The value is u < 0.9.

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The distance from coordinates p (5, 7) to coordinates (–2, 1) and (4, 1) in line n are  9.21 units and 6.08 units respectively.

The distance between two points is defined as the length of the line segment between two places representing their distance.

The distance from coordinates p (5, 7) to coordinates (–2, 1) in line n will be

⇒ √[(-2-5)² + (1-7)²]

⇒ √[(-7)² + (-6)²]

⇒ √[49 + 36]

⇒ √85

⇒ 9.21 units

The distance from coordinates p (5, 7) to coordinates (4, 1) in line n will be

⇒ √[(4-5)² + (1-7)²]

⇒ √[(-1)² + (-6)²]

⇒ √[1 + 36]

⇒ √37

⇒ 6.08 units

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The cold water faucet will fill the tub on its own in 5.6 minutes.

Let us assume the time taken by cold water faucet to fill the tub be x minutes. Now, the rate of hot water faucet to fill the tub = 1/14

Combined rate of filling by both faucets = 1/4

Rate of filling by hot water faucet + Rate of filling by cold water faucet = Rate of filling of tub by combination of two faucets

1/14 + 1/x = 1/4

1/x = 1/4 - 1/14

1/x = (14 - 4)/(4×14)

1/x = 10/56

x = 56/10

x = 5.6 minutes

Thus, cold water faucet will take 5.6 minutes.

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The complete question is -

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. if it takes the hot water faucet 14 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?

Answer:  Total distance 2√10

Step-by-step explanation:

The linear inequality is y≥ 245 and x ≥ 2y/25.

Linear Inequality:

Linear inequalities are defined as mathematical expressions in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.

Here it is given that x represents the teacher y represents the student.

It is given that no fewer than 2 teachers per 25 students.

x/y > 2/25

It is given that at least 245 students enrolled in the school.

As per the given condition,

The linear inequality for the students:

y≥ 245

Now the possible number of teachers (x).

As per the condition the required inequality for teachers will be:

x ≥ 2(y/25)

x≥ 2y /25.

Therefore the linear inequalities are y≥ 245 and x ≥ 2y /25.

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0.0912   is the probability that the score will be 120 or higher .

What is probability explain with an example?

Zlower = X₁ - μ/σ  = 120 - 100/15  = 1.33

the probability is compared as

                    Pr ( X ≥ 120 ) = Pr(X - 100/15 ≥ 120 - 100/15)

                                         = Pr(Z ≥ 120 - 100/15

                                          = Pr( Z ≥ 1.33)

                                          = 0.0912

Since 0.0912 > 0.05 i.e. this IQ score is not unusual and hence I can believe the claim.

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Answer: nothing it’s a variable

Answer:

18/7

Step-by-step explanation:

check this might work as I simply

Answer:

  (b)  h = 37.3

Step-by-step explanation:

You want the value of h if an angle of a regular 16-gon is given as (5h-29)°.

The interior angle measure of a regular n-gon is given by ...

  θ = 180° -360°/n

For n=16, the interior angle measure is ...

 θ = 180° -360°/16 = 157.5°

The value of h can be found by solving the equation ...

  5h -29 = 157.5

  5h = 186.5 . . . . . . add 29

  h = 37.3 . . . . . . . divide by 5

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Answer:

-8 and then the second one is -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

it’s negative 3

The standard form of the given equation is 5x - 4y = -3.

What is a standard form of an equation?

The standard form for linear equations in two variables is Ax+By=C.

What is a slope intercept form?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Here, we have

y = 5/4x+3/4

we have to convert this equation into standard form

y - 5/4x = 3/4

y - 5/4x - 3/4 = 0

4y - 5x - 3 = 0

4y - 5x = 3

5x - 4y = -3

Hence, the standard form of the given equation is 5x - 4y = -3.

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The difference between the depth at 3 minute ago and the depth now is 12 feet.

What is difference in mathematics?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. The objective of finding the difference in math is to ascertain how many numbers there are between the two specified numbers. In terms of notation, there is a negative difference (-).

The depth 3 minute ago was -3 feet,

The depth now is -15 feet.

subtracting the depth now from the depth 3 minute ago,

-3 -(-15)

= 12 feet

Therefore, the difference is 12 feet.

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If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 40

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 40        .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 40 × 200

i.e 200 C + 200 T = 8000

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000

Or, 400 T =  4000

i.e T = 10

Put The value of T in eq 2

So, 200 C + 600 × 10 = 12000

or , 200 C + 6000 = 12,000

Or, 200 C = 12000 - 6000

Or, 200 C = 6000

i.e C = 30

The number of chair sold is 30

If the number of chair sold is 10 ,

Then the min number of table sold = 200 × 30 + 600 T = 12000

i.e 600 T = 12000 - 6000

or, 600 T = 6000

∴   T = 10

I.e T = 10

Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .

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The maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

Given:

Jay has a 50 gallon water tank. He fills the tank with a garden hose at a rate of 8. 2 gallons per minute.

There are 9 gallons of water in the tank.

water tank to fill = water tank capacity - water in the tank.

= 50 - 9

= 41 gallons.

Time = 41 / 8.2

= 41 / 82/10

= 41*10 / 82

= 10/2

= 5 minutes.

Therefore the maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

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The total amount owed by Erica after 5 years is $10865

From the question, we have the following parameters:

Also from the question, the formula to determine the compound interest formula to be represented as:

A = P(1 + r/n)^nt

Where the values of the variables have been stated above

Solving further, we replace the variables with their values in the above equation

So, we have the following representation

A = 5300 * (1 + (8%/12))^(6*12)

Evaluate the expression

A = 10865

Hence, the value of the amount after 6 years is $10865

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The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In a computer game, Shar needs to construct a pen molded like a right triangle for her creatures. Assuming she wants 9 feet of wall for the most limited side and 15 feet of wall for the longest side.

Then the third side of the triangle is given as,

⇒ √(15² - 9²)

⇒ √(225 - 81)

⇒ √144

⇒ 12 feet

Then the perimeter of the triangle is given as,

P = 9 + 12 + 15

P = 36 feet

The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.

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Answer: 36

Step-by-step explanation: srry if wrong i used this online calculator

Answer:

ofco 1+1=2

Step-by-step explanation:

abc that's why

The length of the side chosen in order to make the cardboard box is 7cm in the square.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

We are given that rajiv wishes to make a cube without lid with cardboard.

5a² = 245 sq.cm

a² = 245/5 = 49

a = 7 cm

Hence the length of the side chosen in order to make the cardboard box is 7 cm.

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Answer:

5/4

Step-by-step explanation:

Count up from the first point to the line where the second point lies, then write that number and count to the side till you reach the second point which would give you 5/4.

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

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The scale factor that was used to enlarge the triangle uvw to klm is 4/3

The triangles that complete the question are added as an attachment

From the attached triangles, we have the following side lengths:

Triangle UVW

UV = 9 units

VW = 15 units

Also, we have

Triangle KLM

KL = 12 units

LM = 20 units

Because the triangle was enlarged from triangle UWV, it is expected that the side length of KLM will be greater than the corresponding side length of UVW

The scale factor of dilation is then calculated using the following scale factor formula

Scale factor = Side length of KLM divided by Side length of UWV

Mathematically, we have

Scale factor = KLM/UVW

Substitute the known values in the above equation, so, we have the following representation

Scale factor =20/15

Evaluate the quotient

Scale factor = 4/3

Hence, the scale factor is 4/3

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Answer:

-0.37 or -37/100

Step-by-step explanation:

On a calculator, take the fraction, and divide the 1 by the 3:

1 divided by 3 = 0.33.

So, we have -3.33 divided by 9.

Let's use the calculator to find the final answer:

-0.37

To convert this to a fraction, we have to convert -0.37 to -37 and find the common 10. So, 1 is less than 37 in this term. Same with 10. But, 100 will work:

37/100

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

-10/27

Step-by-step explanation:

so to divide fractions first we turn them into improper fractioms

-3 1/3 ÷9

-10/3÷9/1

now we use skip flip mutliply to find the answer where we keep the first term the same then flip the second fraction and then mutliply

-10/3÷9/1

-10/3 × 1/9

-10/27

hopes this helps please mark brainliest

The average age of the two classes is 12.73 yrs.

Total age of 25 students =25×10=250years.

Total age of 30  students =30×15=450years

∴ Total age of 55 students =250+450=700years

∴ Required For 55 students   =  700/55 = 12.73 yerars

∴ The average age of the two classes is 12.73 yrs.

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Answer:

Please give a question to answer. Nothing has been included to answer.

Step-by-step explanation:

The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

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Answer:

-4

Step-by-step explanation:

If the points are collinear, then all the points are on the same line. Any two points will have the same slope.

x and y, x and z, y and z, all have the same slope, -4.

The number of hardcover books is 24 and the number of the softcover book is 36.

Here we have to find the number of hardcover and softcover.

Here it is given that 60 books are there.

Let x be the number of hardcovers, so the number of software books is 60- x.

The weight of each hardcover is 26 ounces and of softcover is 12 ounces.

The total weight is 1056 ounces.

So we get:

26x + ( 60 -x) 12 = 1056

26x - 12x + 720 = 1056

14x = 336

x = 24

60-x = 60 -24 = 36

Therefore the number of hardcovers is 24 and the number of softcovers is 36.

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The complete question:

There are 60 books that are either hardcover or softcover. The hardcover books each weigh 26 ounces. The softcover books each weigh 12 ounces. The books weigh 1,056 ounces in all. Find the number of hardcover and softcover books are there.

Answer:

3-1/2 - (-1 3/10)

Convert the number

3- 1/6 - (-13/10)

Determine the sign

3- 1/6 + 13/10

Transform the expression

90-5+39

_______

30

Calculate

124/30

Simplify

62/15

Answer

62/15

Step-by-step explanation:

what does it mean for an object to stay at the same height ?

come on, you cannot tell me you don't understand this.

it means that e.g. the object is at a certain height (e.g. 50 ft above the ground) at the beginning of a time interval. then 1 seconds later it is still at the same height. 1 seconds after that it is still at this height. and so on.

how do you think that shows on a chart that displays height on an up or down scale ? as a flat (horizontal) line.

the chart is simply a rough picture of what the object does in real life.

so, where do we have flat (horizontal) segments in the curve ?

between second 2 and second 6.

and then infinitely after second 12.

in interval notation

[2, 6] and [12, +infinity)

please note the round bracket on the infinity side. it means the indicated end of the interval is not included. that is, because infinity is just a concept and not a number. it can never be reached. and it is therefore not included in the interval itself.

FYI - the flat line between second 2 and second 6 is not possible in real life, unless it rolls on a flat surface or something is holding it steady in place for these 4 seconds.

but a flying ball can never have a pure flat curve regarding height. only when it comes at rest on the ground. gravity would not allow that. not even for a bullet shot by a gun.